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California Department of Education Standards and Assessment Division
California Alternate Performance Assessment (CAPA)
Technical Report Spring 2007 Administration
February 2008 Educational Testing Service (ETS)
Contract no. 5417
STAR Program
Table of Contents Introduction........................................................................................................................................................................1
Background ...................................................................................................................................................................................... 1 Education Code 60602 Legislative Intent ....................................................................................................................................... 1
California Alternate Performance Assessment (CAPA) ............................................................................................................... 2 Chapter 1. Test Overview..................................................................................................................................................3
Test Content ..................................................................................................................................................................................... 3 Target Population ............................................................................................................................................................................ 3 Scores for Analysis and Reporting.................................................................................................................................................. 3
Chapter 2. Content Validity ..............................................................................................................................................5 CAPA Assessment Review Panel .................................................................................................................................................... 5
Purpose ........................................................................................................................................................................................... 5 Composition.................................................................................................................................................................................... 5
CAPA Task Writers......................................................................................................................................................................... 7 CAPA Development Procedures ..................................................................................................................................................... 7
Test Assembly ................................................................................................................................................................................ 7 Test Specifications.......................................................................................................................................................................... 8 Task Development .......................................................................................................................................................................... 8 Internal Reviews ............................................................................................................................................................................. 9 ARP Meetings for Review of CAPA Tasks .................................................................................................................................. 10 SPAR Review Panel ..................................................................................................................................................................... 11
Chapter 3. Analysis ..........................................................................................................................................................12 Classical Task Analyses ................................................................................................................................................................. 12 Differential Task [Item} Functioning (DIF) Analyses................................................................................................................. 13 Reliability........................................................................................................................................................................................ 15
Test Score Reliability.................................................................................................................................................................... 15 Standard Error of Measurement .................................................................................................................................................... 16 Inter-Rater Reliability ................................................................................................................................................................... 17 Reliability of Classification and Decision Accuracy..................................................................................................................... 17
Scaling and Production of Scoring Tables ................................................................................................................................... 18 Task Calibration and Equating...................................................................................................................................................... 18 Equating Samples ......................................................................................................................................................................... 20
Statistical Analysis Results ............................................................................................................................................................ 20 Chapter 4. Statewide Assessment Results ......................................................................................................................60
Participation ................................................................................................................................................................................... 60 Test Results..................................................................................................................................................................................... 63
References....................................................................................................................................................................... 108 Appendix A. Individual Task Statistics........................................................................................................................ 109
Tables Table 1.1 Summary of CAPA Assessment Levels.......................................................................................................................... 3 Table 1.2 Base Rubrics for CAPA Scoring .................................................................................................................................... 3 Table 2.1 CAPA ARP Member Education, by Subject and Total................................................................................................ 6 Table 2.2 Statistical Specifications for CAPA................................................................................................................................ 8 Table 3.1 Student Subgroups for DIF Analysis ........................................................................................................................... 14 Table 3.2 DIF Flags based on the ETS DIF Classification Scheme............................................................................................ 15 Table 3.3 Operational Test and Associated Task Summary Statistics....................................................................................... 22 Table 3.4 Frequency of Operational Task Scores: ELA ............................................................................................................. 23 Table 3.5 Frequency of Operational Task Scores: Mathematics................................................................................................ 24 Table 3.6 Raw Score Intercorrelations by Section: Level I ........................................................................................................ 25 Table 3.7 Raw Score Intercorrelations by Section: Level II....................................................................................................... 25 Table 3.8 Raw Score Intercorrelations by Section: Level III ..................................................................................................... 25 Table 3.9 Raw Score Intercorrelations by Section: Level IV...................................................................................................... 25 Table 3.10 Raw Score Intercorrelations by Section: Level V ..................................................................................................... 25 Table 3.11 Ethnic Group DIF Statistics for C Category Tasks .................................................................................................. 26 Table 3.12 Disability Group DIF Statistics for C Category Tasks ............................................................................................. 27 Table 3.13 Double Rater Summary for Operational Tasks: Level I .......................................................................................... 30 Table 3.14 Double Rater Summary for Operational Tasks: Level II ........................................................................................ 31 Table 3.15 Double Rater Summary for Operational Tasks: Level III ....................................................................................... 32 Table 3.16 Double Rater Summary for Operational Tasks: Level IV ....................................................................................... 33 Table 3.17 Double Rater Summary for Operational Tasks: Level V......................................................................................... 34
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STAR Program
Table 3.18 Reliability of Classification and Decision Accuracy: Level I English–Language Arts*......................................... 35 Table 3.19 Reliability of Classification and Decision Accuracy: Level I Mathematics*........................................................... 35 Table 3.20 Reliability of Classification and Decision Accuracy: Level II English–Language Arts* ....................................... 36 Table 3.21 Reliability of Classification and Decision Accuracy: Level II Mathematics* ......................................................... 36 Table 3.22 Reliability of Classification and Decision Accuracy: Level III English–Language Arts*...................................... 37 Table 3.23 Reliability of Classification and Decision Accuracy: Level III Mathematics* ....................................................... 37 Table 3.24 Reliability of Classification and Decision Accuracy: Level IV English–Language Arts*...................................... 38 Table 3.25 Reliability of Classification and Decision Accuracy: Level IV Mathematics*........................................................ 38 Table 3.26 Reliability of Classification and Decision Accuracy: Level V English–Language Arts* ....................................... 39 Table 3.27 Reliability of Classification and Decision Accuracy: Level V Mathematics* ......................................................... 39 Table 3.28 CAPA 2007 Raw Score Means and Standard Deviations: Equating Sample vs. Total .......................................... 40 Table 3.29 Evaluation of Common Tasks between New and Reference Test Forms................................................................ 40 Table 3.30 Score Conversions: ELA Level I ................................................................................................................................ 41 Table 3.31 Score Conversions: Mathematics Level I .................................................................................................................. 42 Table 3.32 Score Conversions: ELA Level II............................................................................................................................... 43 Table 3.33 Score Conversions: Mathematics Level II ................................................................................................................. 44 Table 3.34 Score Conversions: ELA Level III ............................................................................................................................. 45 Table 3.35 Score Conversions: Mathematics Level III ............................................................................................................... 46 Table 3.36 Score Conversions: ELA Level IV ............................................................................................................................. 47 Table 3.37 Score Conversions: Mathematics Level IV................................................................................................................ 48 Table 3.38 Score Conversions: ELA Level V............................................................................................................................... 49 Table 3.39 Score Conversions: Mathematics Level V ................................................................................................................. 50 Table 3.40 Scale Score Frequency Distributions: Level I ELA and Mathematics .................................................................... 51 Table 3.41 Scale Score Frequency Distributions: Level II ELA and Mathematics .................................................................. 52 Table 3.42 Scale Score Frequency Distributions: Level III ELA and Mathematics................................................................. 53 Table 3.43 Scale Score Frequency Distributions: Level IV ELA and Mathematics ................................................................. 54 Table 3.44 Scale Score Frequency Distributions: Level V ELA and Mathematics................................................................... 55 Table 3.45 Raw Score Frequency Distributions: Level I Science ............................................................................................... 56 Table 3.46 Raw Score Frequency Distributions: Level III Science............................................................................................ 57 Table 3.47 Raw Score Frequency Distributions: Level IV Science ............................................................................................ 58 Table 3.48 Raw Score Frequency Distributions: Level V Science.............................................................................................. 59 Table 4.1 Distribution of Students Across Test Levels................................................................................................................ 60 Table 4.2 Disability Distributions across All Levels .................................................................................................................... 60 Table 4.3 Level I Disability Distributions..................................................................................................................................... 61 Table 4.4 Level II Disability Distributions ................................................................................................................................... 61 Table 4.5 Level III Disability Distributions ................................................................................................................................. 62 Table 4.6 Level IV Disability Distributions.................................................................................................................................. 62 Table 4.7 Level V Disability Distributions ................................................................................................................................... 63 Table 4.8 Performance Score Distributions for All Examinees*: English–Language Arts 2007 ............................................. 64 Table 4.9 Performance Score Distributions for All Examinees*: Mathematics 2007............................................................... 66 Table 4.10 Performance Score Distributions*: Level I English–Language Arts ...................................................................... 68 Table 4.11 Performance Score Distributions*: Level I Mathematics ........................................................................................ 70 Table 4.12 Performance Score Distributions*: Level II English–Language Arts..................................................................... 72 Table 4.13 Performance Score Distributions*: Level II Mathematics....................................................................................... 74 Table 4.14 Performance Score Distributions*: Level III English–Language Arts ................................................................... 76 Table 4.15 Performance Score Distributions*: Level III Mathematics ..................................................................................... 78 Table 4.16 Performance Score Distributions*: Level IV English–Language Arts.................................................................... 80 Table 4.17 Performance Score Distributions*: Level IV Mathematics ..................................................................................... 82 Table 4.18 Performance Score Distributions*: Level V English–Language Arts ..................................................................... 84 Table 4.19 Performance Score Distributions*: Level V Mathematics ....................................................................................... 86 Table 4.20 Scale Score Distributions*: Level I English–Language Arts.................................................................................... 88 Table 4.21 Scale Score Distributions*: Level I Mathematics ..................................................................................................... 90 Table 4.22 Scale Score Distributions*: Level II English–Language Arts .................................................................................. 92 Table 4.23 Scale Score Distributions*: Level II Mathematics.................................................................................................... 94 Table 4.24 Scale Score Distributions*: Level III English–Language Arts ................................................................................ 96 Table 4.25 Scale Score Distributions*: Level III Mathematics .................................................................................................. 98 Table 4.26 Scale Score Distributions*: Level IV English–Language Arts............................................................................... 100 Table 4.27 Scale Score Distributions*: Level IV Mathematics................................................................................................. 102 Table 4.28 Scale Score Distributions*: Level V English–Language Arts ................................................................................ 104 Table 4.29 Scale Score Distributions*: Level V Mathematics .................................................................................................. 106 Table A.1 2007 CAPA Task Statistics: Level I .......................................................................................................................... 109 Table A.2 2007 CAPA Task Statistics: Level II ......................................................................................................................... 111 Table A.3 2007 CAPA Task Statistics: Level III ....................................................................................................................... 112 Table A.4 2007 CAPA Task Statistics: Level IV........................................................................................................................ 114 Table A.5 2007 CAPA Task Statistics: Level V ......................................................................................................................... 116
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STAR Program
CAPA Technical Report Acronyms and Initialisms 1PPC 1-parameter partial credit AIS average task (item) score API Academic Performance Index ARP Assessment Review Panel AYP Adequate Yearly Progress CAHSEE CAPA
California High School Exit Examination California Alternate Performance Assessment
CAT/6 Survey California Achievement Tests, Sixth Edition Survey CDE California Department of Education CI confidence interval CSEM conditional standard error of measurement CST California Standards Tests DIF Differential Task [Item} Functioning ELA English–language arts EM expectation maximization ETS Educational Testing Service GENASYS Generalized Analysis System ICC task (item)characteristic curves IEP individualized education program IRT task (item) response theory MAD mean absolute differences NAEP National Assessment of Educational Progress NCLB No Child Left Behind Act of 2001 NR No Response SBE State Board of Education SD standard deviation SEM standard error of measurement SMD standardized mean difference SPAR statewide pupil assessment review STAR Standardized Testing and Reporting STS Standards-based Tests in Spanish TOEFL Test of English as a Foreign Language WRMSD weighted root mean square difference
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Introduction | Background
Introduction Background
In 1997 and 1998, the California State Board of Education (SBE) adopted rigorous content standards in four major content areas: English–language arts (ELA), mathematics, history–social science, and science. These standards were designed to guide instruction and learning for all students in the state and to bring California students to world-class levels of achievement.
In order to measure and evaluate student achievement of the content standards, the state instituted the Standardized Testing and Reporting (STAR) Program. This Program, administered annually, was authorized in 1997 by state law (Senate Bill 376). Senate Bill 1448, approved by the Legislature and the Governor in August 2004, reauthorized the STAR Program through January 1, 2011, in grades three through eleven. STAR Program testing in grade two has been extended to the 2007–08 school year (spring 2008 administration).
The primary goal of the STAR Program is to help measure how well students are learning required academic skills. The STAR Program has five components:
• California Standards Tests (CSTs) produced for California public schools • California Achievement Tests, Sixth Edition Survey (CAT/6 Survey) for grades 3 and 7,
published by CTB/McGraw-Hill • California Alternate Performance Assessment (CAPA), an assessment produced for students
with significant cognitive disabilities who are not able to take the CSTs and the CAT/6 Survey
• Standards-based Tests in Spanish (STS), an assessment of California content standards for Spanish-speaking English learners in grades 2–4 in spring 2007
• Aprenda: La prueba de logros en español, Tercera edición (Aprenda 3), published by Harcourt Assessment Inc., for students in grades 5–11
Education Code 60602 Legislative Intent The results for tests within the STAR Program are used for three primary purposes:
Excerpted from California Education Code Section 60602, http://www.leginfo.ca.gov/cgi-bin/displaycode?section=edc&group=60001-61000&file=60600-60603. “60602. (a) (1) First and foremost, provide information on the academic status and progress of individual pupils to those pupils, their parents, and their teachers. This information should be designed to assist in the improvement of teaching and learning in California public classrooms. The Legislature recognizes that, in addition to statewide assessments that will occur as specified in this chapter, school districts will conduct additional ongoing pupil diagnostic assessment and provide information regarding pupil performance based on those assessments on a regular basis to parents or guardians and schools. The legislature further recognizes that local diagnostic assessment is a primary mechanism through which academic strengths and weaknesses are identified.” “60602. (a) (4) Provide information to pupils, parents or guardians, teachers, schools, and school districts on a timely basis so that the information can be used to further the development of the pupil and to improve the educational program.” “60602. (c) It is the intent of the Legislature that parents, classroom teachers, other educators, governing board members of school districts, and the public be involved, in an active and ongoing basis, in the design and implementation of the statewide pupil assessment program and the development of assessment instruments.”
February 2008 CAPA Technical Report | Spring 2007 Administration Page 1
Introduction | California Alternate Performance Assessment (CAPA)
“60602. (d) It is the intent of the Legislature, insofar as is practically feasible and following the completion of annual testing, that the content, test structure, and test items [tasks] in the assessments that are part of the Standardized Testing and Reporting Program become open and transparent to teachers, parents, and pupils, to assist all the stakeholders in working together to demonstrate improvement in pupil academic achievement. A planned change in annual test content, format, or design, should be made available to educators and the public well before the beginning of the school year in which the change will be implemented.”
Additionally, STAR program assessments are used to provide data for state and federal accountability purposes.
California Alternate Performance Assessment (CAPA) The CAPA is an individually administered performance assessment that is used to measure the
achievement of students with significant cognitive disabilities on California’s content standards for English–language arts, mathematics, and science. CAPA is part of the STAR Program. The CAPA was added to the STAR Program in 2003 to meet the requirements of the Individuals with Disabilities Educational Act of 1997 (IDEA) and the No Child Left Behind Act of 2001 (NCLB) that an alternate assessment be in place for those students with significant cognitive disabilities who are unable to take the general STAR CSTs even with accommodations or modifications. Eligibility for participation in CAPA is determined by the student’s individualized education program (IEP) team.
In 2007, CAPA was administered in each school during a 21-day window comprised of the ten (10) days before and ten (10) days after the day on which 85% of all instructional days for the school year were completed. This same window was used for the CSTs. Across the state, a total of 43,136 students in grades 2–11 participated in the CAPA.
This technical report outlines the statistical analyses that were carried out in support of the 2007 CAPA. Chapter 1 provides an overview of the test content, target population, and scoring procedures. Chapter 2 describes the procedures required to substantiate the content validity of the CAPA test. Chapter 3 details the statistical procedures that were carried out in support of the CAPA. These procedures include preliminary task analyses, differential task functioning analyses, equating and scaling, and various miscellaneous analyses. Chapter 4 presents statewide test results.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 2
Chapter 1. Test Overview | Test Content
Chapter 1. Test Overview Table 1.1 Summary of CAPA Assessment Levels
Test Level I II III IV V Grades 2–11 2–3 4–5 6–8 9–11
Content Area
ELA ELA ELA ELA ELA Mathematics Mathematics Mathematics Mathematics Mathematics
Science* Science** Science*** Science**** * Grades 5, 8 and 10 only ** Grade 5 only *** Grade 8 only **** Grade 10 only
Test Content The CAPA is a standards-based, on-demand assessment designed to measure the progress of
students with significant cognitive disabilities in meeting the California content standards. The CAPA assesses English–language arts and mathematics for students in grades 2–11 and has a field-test section in science for students in grades 5, 8, and 10. CAPA has five assessment levels: Level I is for those students in grades 2–11 with the most significant cognitive disabilities. Levels II–V are age/grade appropriate. Table 1.1 summarizes the grades and content areas assessed by each CAPA level.
Target Population Students with significant cognitive disabilities in grades two through eleven who are unable to
take the STAR CSTs even with accommodations or modifications take the CAPA. Participation in CAPA and eligibility for Level I assessment is determined by the student’s IEP team. Only students whose parents/guardians have submitted written requests to exempt them from STAR Program testing do not take the tests.
Scores for Analysis and Reporting In 2007, each ELA and Mathematics test consisted of eight operational tasks and four field test
tasks. An additional science section1 was administered in grades 5, 8, and 10 for field-testing but no scores were reported. Student performance on each task is scored by one primary examiner, usually the child’s teacher or other licensed or certificated staff member who is familiar to the student and who has completed the CAPA training. To establish scoring reliability, approximately 10% of students receive a second independent rating by a trained observer who is also a licensed or certificated staff member. The Level I assessment is scored using a 5-point rubric based on the level of independence with which the student completes a task. The Level II–V assessments are scored with a 4-point rubric based on the degree to which the student completes the task and includes task-specific qualifiers to aid in the objective scoring of each task. Table 1.2 provides the general rubrics applied to the CAPA tasks.
Table 1.2 Base Rubrics for CAPA Scoring Level I Levels II–V
Score Points Description
Score Points Description
5 Complete task without prompts 4 Completes task with 100% accuracy
4 Completes task with a verbal or gestural prompt 3 Partially completes task (scoring criteria
specific to the task)
1 This was the fourth year of science field tests at Levels I, III, and V and the third year at Level IV. In the 2007 science field test there were eight field-test forms per level. Each field test form had five common or core tasks.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 3
Chapter 1. Test Overview | Scores for Analysis and Reporting
Level I Levels II–V Score Points Description
Score Points Description
3 Completes task with a physical or modeled prompt 2 Minimally completes task (scoring
criteria specific to the task) 2 Attempts task 1 Attempts task 1 Orients to task 0 No Response 0 No Response
For test scoring purposes, No Response (NR) ratings were assigned a task raw score of zero. Thus, CAPA raw scores range from 0 to 40 for Level I and from 0 to 32 for Levels II–V. For CAPA, raw scores are converted to scale scores ranging from 15 to 60. Performance levels based on scale scores include: Far Below Basic, Below Basic, Basic, Proficient, and Advanced. The Basic and Proficient cut points are at scale scores of 30 and 35, respectively. The cut points for Below Basic and Advanced vary by CAPA assessment level and content area. (For information on the standard setting procedures used to establish cut points, see the California Alternate Performance Assessment (CAPA) Standard Setting Technical Report, submitted to the California Department of Education [CDE] on July 8, 2003.)
CAPA Technical Report | Spring 2007 Administration February 2008 Page 4
Chapter 2. Content Validity | CAPA Assessment Review Panel
Chapter 2. Content Validity Content validity refers to the degree to which the content of a test is congruent with the purpose of
the testing. CAPA tasks were developed to align with the content standards that are representative of the broader content domains: ELA, mathematics, and science. Thus, the content-related evidence of validity concerns the extent to which the test tasks represent these specified content domains and cognitive dimensions.
Content validity also provides information about how well a performance task measures its intended construct. Such validity is determined by a critical review of the performance tasks by experts in the field. For the CAPA, these reviews are conducted by a number of experts in their designated areas from both the CDE and Educational Testing Service (ETS). For these reviews, ETS senior content staff worked directly with CDE content consultants. The CDE content consultants each have extensive experience in K–12 assessments, particularly in their subject of expertise, and many are former teachers. At minimum, each CDE content consultant holds a bachelor's degree; most have advanced degrees in their area of expertise. All ETS content and test development staff have extensive experience with K–12 assessments, experience in teaching students with a broad range of disabilities, and understanding of the California standards.
CAPA Assessment Review Panel In addition to the thorough content reviews completed by ETS content-area experts and the
content staff at the CDE, all CAPA performance tasks are reviewed by a content-area Assessment Review Panel (ARP). The ARPs are advisory panels to ETS on areas related to task development for the CAPA. Their credentials are presented later in this document.
Purpose ETS is responsible for working with ARPs as tasks are developed for the CAPA tests. For the
2007 development cycle, the ARPs were responsible for reviewing all newly developed tasks for alignment to the California content standards. The ARPs also reviewed the tasks for accuracy of task content, clarity of phrasing, and task quality. ETS provided the ARPs with the opportunity to review the tasks with the applicable field-test statistics and to make recommendations for the use of tasks in subsequent test forms. The ARPs may raise concerns in their examination of test tasks related to age/grade appropriateness, and to gender, racial/ethnic, and socioeconomic bias.
The ARPs are also responsible for reviewing all newly developed performance tasks for alignment to the California content standards. Specifically, they determine if performance tasks are:
• Measuring the California standards as appropriate for the CAPA testing population • Free from bias to the degree possible • Interesting and appropriate to students tested at a particular grade/course level
Composition Every effort is made to ensure that ARP committees include representation of gender and of the
geographic regions and ethnic groups in California. For CAPA, efforts are also made to ensure representation by members with experience serving California’s diverse special education population.
The ARPs are comprised of current and former special education teachers, resource specialists, administrators, curricular experts, and other education professionals. Current school staff members must meet minimum qualifications to serve on the CAPA ARPs, including:
• Experience with students who have severe cognitive disabilities; • Experience with more than one type of disability;
February 2008 CAPA Technical Report | Spring 2007 Administration Page 5
Chapter 2. Content Validity | CAPA Assessment Review Panel
• Three or more years of general teaching experience in grades kindergarten through twelve and in the content areas (English–language arts, mathematics, or science); or special education teaching experience;
• Bachelor’s or higher degree in special education or in a subject area related to English– language arts, mathematics, or science; and
• Knowledge and experience with the California content standards in English–language arts, mathematics, or science.
School administrators, district/county content/program specialists, or university educators serving on the CAPA ARPs must meet the following qualifications:
• Three or more years of experience as a school administrator, district/county content/program specialist, or university instructor in the area of special education or areas related to English– language arts, mathematics, or science;
• Bachelor’s or higher degree in special education or in a subject area related to English– language arts, mathematics, or science; and
• Knowledge of and experience with the California content standards in English–language arts, mathematics, or science.
For CAPA, efforts are also made to ensure representation by members with experience serving California’s diverse special education population.
Current ARP members were recruited through an application process. Recommendations were solicited from districts and county offices of education in addition to CDE and SBE staff. Applications are received and reviewed throughout the year. ARP applications are reviewed by the ETS Assessment Directors, who confirm that the applicant’s qualifications meet the specified criteria. Applications that meet the criteria are forwarded to the CDE and SBE staff for review and final approval. Upon approval, the applicant is notified that he or she has been selected to serve on the ARP committee. Table 2.1 shows the qualifications and background of the current CAPA ARP members.
Currently, there are no term limits for ARP members. While most members participate in the ARP meetings for only one STAR testing program, some members serve on more than one panel to encourage consistency in decisions among the STAR testing programs. ETS and CDE annually review the ARP membership for active participation. Members who have not attended a meeting within the last two years are notified that their invitation to participate may be withdrawn due to lack of attendance at meetings. In addition, ETS and CDE regularly review concerns about members whose conduct may be unprofessional and not conducive to the purpose of the ARP. If the concerns are determined to be valid, membership is revoked immediately.
Table 2.1 CAPA ARP Member Education, by Subject and Total
ELA Math Science Total Total 8 6 8 22 Occupation (Members may teach at multiple levels) Teacher or Program Specialist, Elementary/Middle School 3 2 0 5 Teacher or Program Specialist, High School 1 0 3 4 Teacher or Program Specialist, K–12 5 3 4 12 University Personnel 0 0 1 1 Other District Personnel (e.g., Director of Special Services, etc.) 1 2 2 5
CAPA Technical Report | Spring 2007 Administration February 2008 Page 6
Chapter 2. Content Validity | CAPA Task Writers
ELA Math Science Total Total 8 6 8 22 Highest Degree Earned Bachelor’s Degree 8 6 8 22 Master’s Degree 6 5 8 19 Doctorate 0 0 1 1 Credential (Members may hold multiple credentials) Elementary Teaching (Multiple Subjects) 5 2 1 8 Secondary Teaching (Single Subject) 0 1 4 5 Special Education 1 4 3 8 Reading Specialist 1 0 0 1 English Learner (CLAD, BCLAD) 1 0 1 2 Administrative 1 2 1 4 Other 2 2 1 5 None (teaching at university level) 0 0 1 1
CAPA Task Writers The tasks selected for each CAPA test are developed by special panels of California teachers.
Applicants for task writing were screened by senior ETS content staff; only those with strong content and special education backgrounds were approved for inclusion in the training. Thus, the participants were particularly experienced in writing to the standards assessed on CAPA. All task writers met the following minimum qualifications:
• Bachelor’s or master’s degree in special education or in a specified content area being tested • Three or more years of general education teaching experience in the content areas (English–
language arts, mathematics, and science); or special education teaching experience; or experience as a school administrator or program specialist
• Experience with students who have severe cognitive disabilities • Experience with more than one type of disability • Knowledge about the capabilities of the students taking these tests • Knowledge and experience with California content standards in English–language arts, math,
or science Participants attended a general CAPA task development training session, and then were given
specific subject-area training. After viewing multiple examples of previously written CAPA tasks, participants were given task writing assignments. ETS facilitators provided feedback, and peer review methods were employed.
CAPA Development Procedures The CAPA exams were constructed to measure the California content standards as well as to meet
psychometric criteria for difficulty and reliability. The psychometric criteria were evaluated using projections based on task statistics from field-testing or previous operational administrations.
Test Assembly Test blueprints for the components of the STAR Program (which includes CAPA) were proposed
by ETS, reviewed and approved by the respective ARPs, also reviewed and approved by the CDE, and presented to the SBE for adoption. These were updated for the 2007 operational CAPA tests. For each test, the California content standards were used as the basis for choosing tasks. Additional
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Chapter 2. Content Validity | CAPA Development Procedures
technical targets (e.g., difficulty and discrimination) for test construction were established based on past characteristics of the tests, with the goal of maintaining parallel forms to the greatest extent possible.
Test Specifications Statistical Specifications The primary statistical targets used for CAPA test assembly in 2007 were based on the task
difficulty (mean, minimum, and maximum) and the biserial correlation (mean and minimum). The biserial correlation is a measure of how well the tasks discriminate among test takers and is related to the overall reliability of the test.
These specifications were developed from the analyses of test forms administered in the years from 2002 to 2005; the target values and ranges for the specifications are presented in Table 2.2 below. The minimum target value for a task polyserial was set at 0.55 for each test.
Table 2.2 Statistical Specifications for CAPA
Subject CAPA Level
Mean AIS*
Min AIS*
Max AIS
Mean Polyserial
Min Polyserial
I 2.55–2.95 1.50 4.00 0.80–0.85 0.60
English–Language Arts II 2.00–2.40 1.20 3.20 0.80–0.85 0.60 III 2.00–2.40 1.20 3.20 0.80–0.85 0.60 IV 2.00–2.40 1.20 3.20 0.80–0.85 0.60 V 2.00–2.40 1.20 3.20 0.80–0.85 0.60 I 2.55–2.95 1.50 4.00 0.80–0.85 0.60 II 2.00–2.40 1.20 3.20 0.80–0.85 0.60
Mathematics III 2.00–2.40 1.20 3.20 0.80–0.85 0.60 IV 2.00–2.40 1.20 3.20 0.80–0.85 0.60 V 2.00–2.40 1.20 3.20 0.80–0.85 0.60
*AIS=Average Task (Item) Score
Content Specifications ETS developed all CAPA test tasks to conform to the SBE-approved content standards and test
blueprints. The content blueprints for the CAPA can be found on the CDE Web site, at http://www.cde.ca.gov/ta/tg/sr/capablueprints.asp.
Task Development ETS senior content staff led the task writers in the task development and review process. In
addition, experienced ETS content specialists and assessment editors reviewed each task during development and the forms construction processes. The lead assessment specialist for each content area worked directly with the other ETS assessment specialists to carefully review and edit each task for technical characteristics like quality (for example, one right answer, clearly stated stem, absence of clueing, plausibility of, distractors), match to standard, and conformity with California-approved task-writing practices.
ETS has maintained task specifications for each CAPA test. ETS followed the SBE-approved Task Utilization Plan to guide the development of the quantity of tasks for each subject area.
Task specification documents included the constructs to be measured and the California content standards included in the test blueprints. The task specifications help ensure that the CAPA tests consistently match the content standards from year to year. Task writing emphasis is determined in consultation with the CDE. The task specifications also provide specific and important guidance to
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Chapter 2. Content Validity | CAPA Development Procedures
task writers, and ensure that tasks are consistent in approach and written to measure the standards. The task specifications describe the general characteristics of the tasks for each content standard or content to be avoided, and define the content limits for the tasks. In summary, the specifications included the following:
• A statement of the strand or topic for the standard • A full statement of the academic content standard, as found in each CAPA blueprint • The expected cognitive level(s) of tasks written for the standard (low, medium, or high), as
defined by ETS and approved by CDE • The construct(s) appropriately measured by the standard • A description of the kinds of tasks appropriate for the standard • A description of specific kinds of tasks to be avoided, if any • A description of appropriate stimuli (e.g., stimulus cards or manipulatives) for tasks • A description of observable behaviors for science
Internal Reviews After the tasks were written, ETS employed a series of internal reviews. The reviews established
the criteria used to judge the content validity of the tasks, making sure that each task was measuring what it was intended to measure. The internal reviews also examined the overall quality of the tasks before they were prepared for presentation to CDE and the ARPs. Because of the complexities involved in producing defensible tasks for high-stakes programs such as the STAR Program, it is essential that many experienced individuals review each task before it is brought to CDE and the ARP and SPAR panels.
The ETS review process for the CAPA included the following: 1. Internal content review 2. Internal editorial review 3. Internal sensitivity review
Throughout this multi-step review process, the lead content area assessment specialists and development team members continually evaluated the relevance of the information being assessed, its relevance to the California content standards, its match to the test and task specifications, and its appropriateness to the population being assessed. Tasks that are only peripherally related to the test and task specifications, that do not measure core outcomes reflected in the California content standards, or that are not developmentally appropriate were eliminated early in this rigorous review process.
1. Internal Content Review CAPA tasks materials received two reviews from the content area assessment specialists. These
assessment specialists made sure that the tasks and related materials were in compliance with ETS’s written guidelines for clarity, style, accuracy, and appropriateness for California students, and in compliance with the approved task specifications. Assessment specialists reviewed each task following the criteria below:
• Relevance of each task as the task relates to the purpose of the test • Match of each task to the task specifications, including cognitive level • Match of each task to the principles of quality task development • Match of each task to the identified standard • Difficulty of the task • Accuracy of the content of the task
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Chapter 2. Content Validity | CAPA Development Procedures
• CAPA-level appropriateness of the task • Appropriateness of any stimulus cards or manipulatives The assessment specialists also checked all tasks against their cluster classification codes, both to
evaluate the correctness of the classification and to ensure that a given task is of a type appropriate to the outcome it was intended to measure. The reviewers accepted the task and classification as written, suggested revisions, or recommended that the tasks be discarded. These steps occurred prior to CDE review.
2. Internal Editorial Review After the content area assessment specialists reviewed each task, a group of specially trained
editors reviewed each task in preparation for review by CDE and the ARPs. The editors checked questions for clarity, correctness of language, appropriateness of language, adherence to the style guidelines, and conformity with accepted task writing practices.
3. Internal Sensitivity Review ETS assessment specialists who are specially trained to identify and eliminate questions that
contain content or wording that could be construed to be offensive to or biased against members of specific ethnic, racial, or gender groups, conducted the next level of review. These trained staff members reviewed every task before it was prepared for CDE and ARP review. In addition, the review process promoted a general awareness of and responsiveness to the following:
• Cultural diversity • Diversity of background, cultural tradition and viewpoints to be found in the test-taking
populations • Changing roles and attitudes toward various groups • Role of language in setting and changing attitudes toward various groups • Contributions of diverse groups (including ethnic groups, individuals with disabilities, and
women) to the history and culture of the United States and the achievements of individuals within these groups
ARP Meetings for Review of CAPA Tasks The ETS content area assessment specialists facilitated the CAPA ARP meetings. Each meeting
began with a brief training session on how to review tasks. ETS provided this training, which consisted of the following steps:
• An overview of the purpose and scope of the CAPA • An overview of CAPA test design specifications and blueprints • An analysis of CAPA task specifications • An overview of criteria for reviewing constructed-response tasks • Review and evaluation of tasks for bias and sensitivity issues The criteria for evaluating constructed-response tasks included: • overall technical quality • match to the California content standards • match to the construct being assessed by the standard • difficulty range • clarity • bias and sensitivity factors The committee was also trained on how to make recommendations for revising tasks. Guidelines
for reviewing tasks were provided by ETS and approved by CDE. The guidelines for reviewing tasks are summarized below:
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Chapter 2. Content Validity | CAPA Development Procedures
Task Guidelines: Does the task… • Measure the content standard? • Match the test task specifications? • Align with the construct being measured? • Test worthwhile concepts or information? • Include administrator directions that give the student a full sense of what the task is asking? • Avoid unnecessary wordiness? • Reflect content that is free from bias against any person or group? Stimulus Guidelines: Is the stimulus (if any) for the task… • Required in order to answer the task? • Likely to be interesting to students? • Clearly and correctly labeled? • Providing all the information needed to answer the task? As the first step of the task review process, panel members reviewed a set of tasks independently
and recorded their individual comments. The next step in the review process was for the group to discuss each task. The content area assessment specialists facilitated the discussion and recorded all recommendations. These recommendations were recorded in a master task review booklet. Task review binders and other task evaluation materials also identified potential bias and sensitivity factors the ARP considers as part of its task reviews.
ETS staff maintained the minutes summarizing the review process and then forwarded copies of the minutes to the CDE, emphasizing in particular the recommendations of the panel members.
SPAR Review Panel The statewide pupil assessment review (SPAR) panel is responsible for reviewing and approving a
single achievement test to be used statewide for the testing of students in California public schools, grades 2–11. At the SPAR panel meetings, all new tasks were presented in binders for review. The SPAR panel representatives ensured that the test tasks conformed to the requirements of Education Code Section 60614. The constructed-response tasks were also presented for review. If the SPAR panel rejected specific tasks and/or constructed-response tasks, the tasks and/or tasks were replaced. For the SPAR panel meeting, the task development coordinator or an ETS content specialist who had been requested in advance by CDE attended the opening session and remained at a nearby location or near a telephone to be available to respond to any questions during the course of the meeting.
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Chapter 3. Analysis | Classical Task Analyses
Chapter 3. Analysis Following the scanning of answer documents, student demographic and task response data were
transmitted to the ETS statistical analysis division. ETS research and statistical analysis staff had primary responsibility for analyzing CAPA operational and field test data to ensure accuracy and validity of scoring. Most of the psychometric work was carried out using Generalized Analysis System (GENASYS), proprietary statistical analysis software developed by ETS. The GENASYS system includes components for establishing testing program statistical information, processing scores for students (including case sampling and scoring of multiple-choice tasks), traditional task analyses, and task response theory (IRT) analyses.
The proprietary version of PARSCALE (Muraki & Bock, 1999) that is contained within GENASYS allows for estimation of IRT task parameters for polytomously scored tasks. It has been thoroughly tested and is currently utilized by several high-stakes testing programs administered by ETS, including the California STAR assessments and the California High School Exit Examinations (CAHSEE), as well as the National Assessment of Educational Progress (NAEP), and the Test of English as a Foreign Language (TOEFL). All technical support and analyses were carried out in accordance with the ETS Standards for Quality and Fairness (2002).
ETS staff verified the output from the scoring programs to ensure the accuracy of the scoring process. After the operational administration, ETS analysis staff ran a set of preliminary task analyses based on a sample of the early answer document receipts. The preliminary task analyses were used to assure the accuracy of the scoring and to get an initial indication of how tasks were functioning. A minimum of approximately 1,500 answer sheets at each assessment level from a heterogeneous sample of different schools (that is, diverse in geography and demographic characteristics) were used. ETS instituted a set of flags that automatically identified tasks with questionable performance characteristics.
Content specialists examined all flagged tasks to verify that the tasks in the published test books were correct and unambiguous.
After scoring, ETS subjected all test tasks to extensive statistical analyses. These analyses showed which tasks were at an appropriate difficulty level for the testing population and screened for differential task difficulty for subgroups of the state’s population. Additionally, ETS content specialists confirmed the task-to-standard match for each of the content areas.
The analysis of the test data can be broken down into several components: • Classical task analyses • Differential task functioning (DIF) analyses • Reliability analyses; and • Scaling and production of scoring tables. In the sections that follow, the analysis procedures for each component are described in detail.
Tables summarizing the analyses are provided at the end of the chapter.
Classical Task Analyses Classical task analyses involve computing, for every task in each form, a set of statistics based on
classical test theory. Each statistic is designed to provide some key information about the quality of the task from an empirical perspective. The statistics calculated for CAPA operational and field test analyses are described below.
• Average Task (Item) Score (AIS): For polytomously scored tasks, this statistic indicates the average rating earned on the task. Desired values generally fall within the range of 30–80% of the maximum task score. Occasionally, tasks that fall outside this range can be justified for
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Chapter 3. Analysis | Differential Task [Item} Functioning (DIF) Analyses
inclusion in an task bank or a test form based upon the quality and educational importance of the task content or to better measure students with very high or low achievement. CAPA rubrics range from 0 to 4 or from 0 to 5 depending on the test level. As a result, the average task score for a CAPA task falls between 0 and either 4 or 5 corresponding to the rubric in use. For Level I tasks, which are scored on a 0–5 point rubric, 30% is represented by the value 1.50 and 80% is represented by the value 4.00. For Levels II–V tasks, which are scored on a 0–4 point rubric, 30% is represented by the value 1.20 and 80% is represented by the value 3.20.
• Polyserial correlation of the task score with the total test score: This statistic describes the relationship between performance on the specific task and performance on the total test. It is sometimes referred to as a discrimination index because it is an indicator of the degree to which students who do well on the total test also do well on this task. Tasks with negative or extremely low correlations can indicate serious problems with the task itself or can indicate that students have not been taught the content. Since the tasks are polytomously scored, the polyserial correlations tend to be higher than dichotomously scored items. Also, since the CAPA tasks are composed of eight operational tasks, the average discrimination must be high so that the test is sufficiently reliable. That is, the polyserials for tasks included in the operational forms are high because the tasks are polytomous and there are few of them. Based on the range of polyserials produced in field test analyses, an indicator of poor discrimination was set to .60.
• Pearson Product Moment Correlation: For all tasks, this statistic was also computed and is included in Appendix A. The formula for this correlation between two variables, X and Y, is
cov( x y, )ρ = [3.1]
For the CAPA analyses, flags were defined in order to identify tasks with extreme values. Flagged tasks were subject to additional scrutiny by statistical analysis and test development staff. The following flagging criteria were applied to all tasks tested in Spring 2007:
• Difficulty Flags: o A: Low average task score (e.g. below 1.5 at Level I; below 1.2 at Levels II–V) o H: High average task score (e.g. above 4.0 at Level I; above 3.2 at Levels II–V)
• Discrimination Flag: o R: Polyserial correlation less than .60
• Omit/Nonresponse/Flag: o O: Omit/Nonresponse rates greater than 5%
Results of these analyses are presented in Appendix A on page 109.
Differential Task [Item} Functioning (DIF) Analyses One of the goals of test development is to assemble a set of tasks that provides an estimate of a
student’s ability that is as fair and accurate as possible for all groups within the population. DIF statistics are used to identify those tasks for which identifiable groups of students with the same underlying level of ability have different probabilities of answering correctly.
If the task is differentially more difficult for an identifiable subgroup when conditioned on ability, the task may be measuring something different from the intended construct. However, it is important to recognize that DIF-flagged tasks might be related to actual differences in relevant knowledge or skills (task impact) or statistical Type 1 error. As a result, DIF statistics are used to identify potential
var( ) var( ) xy x y
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Chapter 3. Analysis | Differential Task [Item} Functioning (DIF) Analyses
sources of task bias. Subsequent review by content experts and bias/sensitivity committees are required to determine the source and meaning of performance differences.
In the CAPA DIF analyses, DIF statistics were estimated for all major subgroups with sufficient sample size. These groups were identified by CDE and are listed in Table 3.1. Tasks with statistically significant differences in performance were flagged so that tasks could be carefully examined for possible biased or unfair content that was undetected in earlier fairness and bias content review meetings held prior to form construction.
Table 3.1 Student Subgroups for DIF Analysis
DIF Type Reference Group Focal Group Gender Male Female Race/Ethnicity White African American
Hispanic/Latin American American Indian Asian Pacific Islander Filipino Combined Asian Group (Asian/Pacific Islander/Filipino)
Disability Mental Retardation Hard of Hearing Deafness Speech or Language Impairment Visual Impairment Emotional Disturbance Orthopedic Impairment Other Health Impairment Specific Learning Disability Deaf-Blindness Multiple Disabilities Autism Traumatic Brain Injury
DIF analyses of the CAPA polytomously scored tasks were completed using two procedures. The first is the Mantel-Haenszel (MH) ordinal procedure, which is based on the Mantel procedure (Mantel, 1963; Mantel & Haenszel, 1959), compares the proportions of matched examinees from each group in each polytomous task-response category—that is, the probability of a given task score for the studied groups of interest after matching on total test score. As with dichotomously scored tasks, the common odds ratio is estimated across all categories of matched examinee ability. The resulting estimate is interpreted as the relative likelihood of a given task score for members of two groups when matched on ability. As such, the common odds ratio provides an estimated effect size where a value of unity indicates equal odds, and thus no DIF (Dorans & Holland, 1993). The corresponding statistical test is Ho: α = 1, where α is a common odds ratio assumed equal for all matched score categories s = 1 to S. Values less than unity indicate DIF in favor of the focal group, a value of unity indicates the null condition, and a value greater than one indicates DIF in favor of the reference group. The associated MHχ2 is distributed as a chi-square random variable with 1 degree of freedom.
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Chapter 3. Analysis | Reliability
The Mantel chi-square statistic is used in conjunction with a second procedure, the standardization procedure (Dorans & Schmitt, 1993). This procedure produces a DIF statistic based on the standardized mean difference (SMD) in average task scores between members of two groups who have been matched on their overall test score. The SMD compares the task means of the two studied groups after adjusting for differences in the distribution of members across the values of the matching variable (total test score). A negative SMD value means that, conditional on the matching variable, the focal group has a lower mean task score than the reference group. In contrast, a positive SMD value means that, conditional on the matching variable, the reference group has a lower mean task score than the focal group. The SMD is divided by the standard deviation (SD) of the total group task score in its original metric to produce an effect-size measure of differential performance.
The ETS classification scheme puts tasks into three DIF categories on the basis of a combination of statistical significance of the Mantel chi-square statistic and the magnitude of the SMD effect-size:
• A tasks or negligible DIF: The Mantel chi-square statistic is not statistically significant (at the 0.05 level) or |SMD/SD| < 0.17.
• B tasks or intermediate DIF: The Mantel chi-square statistic is statistically significant (at the 0.05 level) and 0.17 ≤ |SMD/SD| < 0.25
• C tasks or large DIF: The Mantel chi-square statistic is statistically significant (at the 0.05 level) and |SMD/SD| > 0.25.
Tasks classified as B+ or C+ tend to be easier for members of the focal group than for members of the reference group with comparable total scores. Tasks classified as B- or C- tend to be more difficult for members of the focal group than for members of the reference group whose total scores on the test are like those of the focal group. (See Table 3.2.)
Table 3.2 DIF Flags based on the ETS DIF Classification Scheme
Flag Descriptor A- Low DIF favoring members of the reference group B- Moderate DIF favoring members of the reference group C- High DIF favoring members of the reference group A+ Low DIF favoring members of the focal group B+ Moderate DIF favoring members of the focal group C+ High DIF favoring members of the focal group
Following standard ETS procedure, tasks classified in Category C were sent for review by test development staff and/or content review committees to consider any identifiable characteristics that may have contributed to the differential task functioning. These tasks might be revised for additional field testing or removed from the task pool.
Reliability Reliability is used to measure the extent to which an assessment will yield the same results when
administered in different occasions, locations, or populations, when the two administrations do not differ in relevant variables. Reliability coefficients are usually forms of correlation coefficients. The forms of reliability below measure different dimensions of reliability and thus any or all might be used in assessing the reliability of CAPA.
Test Score Reliability Reliability focuses on the extent to which differences in test scores reflect true differences in the
knowledge, ability, or skills being tested rather than fluctuations due to chance or factors other than those tested. The variance in the distributions of test scores—essentially, the differences among
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Chapter 3. Analysis | Reliability
individuals—is partly due to real differences in the knowledge, skills, or ability being tested (true variance) and partly due to random errors in the measurement process (error variance). The number used to describe reliability is an estimate of the proportion of the total variance that is true score variance. Several different ways of estimating this proportion exist.
Reliability can be evaluated using a variety of procedures. Some of the most common included test-retest, alternate forms, and internal consistency. The first two are not applicable for the California testing programs because they involve having the same students take the same or a parallel form of the same test at a later date. The third procedure, internal consistency, is, however, appropriate and allows the estimation of the reliability of the test when only a single form is administered (as in CAPA). When the goal is to estimate the precision of a set of test scores from a single administration, a measure of internal consistency is frequently used to estimate reliability. For the CAPA, a measure of internal consistency called coefficient alpha (α) was used for estimating the reliability of the test scores. The formula for coefficient alpha, given by
k ∑σi 2
α ≥ (1− 2 ) , [3.2]k −1 σX
2where k is the number of tasks on the test, ∑σ i is the task score variance summed over all tasks, and σ X
2 is the test-score variance. Coefficient alpha, α , can be thought of as a lower bound to a theoretical reliability.
Internal consistency measures apply only to the test form being analyzed. They do not take into account form-to-form variation due to equating limitations or lack of parallelism, nor are they responsive to day-to-day variation due, for example, to the state of each examinee’s health or testing environment. Reliability coefficients may range from 0 to 1. The higher the reliability coefficient for a set of scores, the more likely individuals would be to obtain very similar scores upon repeated testing occasions with parallel forms.
Standard Error of Measurement The squared standard error of measurement (SEM) is an estimate of error score variance, σ E
2 . The SEM is in the metric of the score scale and is estimated based on the standard deviation of observed scores and test reliability coefficient:
SEM = sx 1−α , [3.3]
where SEM = standard error of measurement, sx = standard deviation of observed scores, and α = coefficient of reliability (alpha). SEM is particularly useful in determining the confidence interval (CI) that captures an examinee’s
true score. Assuming that measurement error is normally distributed, it can be said that upon infinite replications of the testing occasion, approximately 95 percent of the CIs of ±1.96 SEM around the observed score would contain an examinee’s true score (Crocker & Algina, 1986). For example, if an examinee’s observed score on a given test equals 15 points, and the SEM equals 1.92, one can be 95% confident that the examinee’s true score lies between 11 and 19 points (15 ± 3.76 rounded to the nearest integer).
The conditional standard error of measurement (CSEM) is estimated as a function of measured ability. It is typically smaller in scale score units towards the center of the scale in the test metric where more tasks are located and larger at the extremes where there are fewer tasks. An examinee’s
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Chapter 3. Analysis | Reliability
CSEM under the IRT framework is equal to the inverse of the square root of the test information function:
CSEM(θ̂) = 1 a, [3.4]I θ( )
where CSEM( θ̂ ) is the standard error of measurement and I(θ) is the test information function. The statistic is multiplied by a , where a is the original scaling factor needed to transform theta to the scale score metric. The value of a varies by grade and subject. CSEMs are provided for each raw score point of the operational CAPA tests.
Inter-Rater Reliability Inter-rater reliability addresses the consistency of the implementation of a rating system. For the
CAPA, approximately 10% of students received two ratings, one by the primary examiner and a second independent rating by a trained observer. Consistency between the two ratings was evaluated with the following statistics:
• Number and percentage of exact agreement between raters • Number and percentage of adjacent agreement between raters • Number and percentage of nonadjacent scores between raters • Mean absolute difference between ratings for the examiner and the observer • Correlation between ratings for the examiner and the observer The Inter-Rater Reliabilities are presented by level in Tables 3.13–3.17 on pages 30–34.
Reliability of Classification and Decision Accuracy The methodology used for estimating the reliability of performance-level classification decisions
as described in Livingston and Lewis (1995) provides estimates of decision accuracy and classification consistency.
The term accuracy…refers to the extent to which the actual classifications of test takers (on the basis of their single-form scores) agree with those that would be made on the basis of their true scores, if their true scores could somehow be known. The term consistency refers to the agreement between the classifications based on two non-overlapping, equally difficult forms of the test. (Livingston & Lewis, 1995, p.178)
For CAPA, it is implemented using the ETS-proprietary computer program RELCLASS-COMP (Version 4.12). For each level and test, RELCLASS-COMP estimates true scores and single-form scores on forms parallel to the one actually given. RELCLASS-COMP estimates decision accuracy using an estimated joint distribution of reported performance level classifications on the current form of the exam and the performance level classifications based on an all-forms average (true score). RELCLASS-COMP estimates decision consistency using an estimated joint distribution of reported performance level classifications on the current form of the exam and performance level classifications on the alternate (parallel) form.
In each case, the proportion of performance level classifications with exact agreement is the sum of the entries in the diagonal of the contingency table representing the joint distribution. Reliability of classification at each performance level cut score is estimated by collapsing the joint distribution at the passing score boundary into a 2-by-2 table and summing the two entries in the diagonal. RELCLASS COMP also computes the effective length of the test. The Reliability of Classification and Decision Accuracies are presented by level in Tables 3.18–3.27, pages 35–39.
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Chapter 3. Analysis | Scaling and Production of Scoring Tables
Scaling and Production of Scoring Tables Task Calibration and Equating
Even after tests have been assembled to meet a specified level of difficulty , small differences in difficulty exist between test forms. The equating process adjusts for these differences so that test scores are comparable from form to form. For the CAPA tests, IRT equating methods are used.
The IRT model used to calibrate the CAPA test tasks was the 1-parameter partial credit (1PPC) model, a more restrictive model of the generalized partial-credit model (Muraki, 1992) where all tasks are assumed to be equally discriminating. The fundamental equation of this model is the probability that a person with proficiency θ k on scale k will have, for the j th task, a response x j
that is scored in the i th of mj ordered score categories: i
exp ∑1.7a j (θ k − b j + d jv ) v=0P(x j = i |θ k , a j ,b j , d j 0 ,..., d jm j −1 ) = m −1 g
≡ Pji (θ k ) , [3.5]j
exp 1.7a (θ − b + d )∑ ∑ j k j jv g =0 v=0
where: mj is the number of categories in the response to task j;
x j is the response to task j , with possible values 0, 1, …, mj −1;
a j is the slope parameter (equal to 0.588);
bj is the task location parameter characterizing overall difficulty; and
d jv is the category v threshold parameter
All IRT analyses were conducted using the proprietary version of PARSCALE (Muraki & Bock, 1999) that is contained within GENASYS. In IRT-based equating, once two forms have been placed on the same IRT scale through their common tasks, raw scores on a new form can be converted to raw scores on the reference form. These converted raw scores are then transformed to scale scores through table lookup and linear interpolation. The “base” or “reference” calibrations for the CAPA tests are based on the 2003 administration. For the purpose of linking to the base year, each 2007 CAPA form was constructed to include a set of five tasks that had been administered operationally in 2005. The 2007 tasks were placed on the base scale through the set of common tasks from the 2005 forms previously placed on the reference scale. (See Table 3.29 on p. 40.)
The procedures used for equating the CAPA tests involved three steps: 1. Task calibration 2. Task parameter scaling, and 3. True score equating.
These steps are described below. Step 1: For the task calibrations, the PARSCALE program was constrained by setting a common
discrimination value for all tasks equal to 1.0 / 1.7 (or 0.588). The resulting estimation was equivalent to the Rasch partial credit model for polytomously scored tasks.
The PARSCALE calibrations were run in two stages, following procedures used with other ETS testing programs. In the first stage, estimation imposed normal constraints on the updated prior ability distribution. The estimates resulting from this first stage were used as starting values for a second PARSCALE run, in which the subject prior distribution was updated after each expectation maximization (EM) cycle with no constraints. For both stages, the metric of the scale was controlled
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Chapter 3. Analysis | Scaling and Production of Scoring Tables
by the constant discrimination parameters. This approach was used to obtain unscaled 2007 task parameter estimates. Each task was evaluated using fit statistics in conjunction with plots of model-data fit that were generated by the GENASYS system. Tasks flagged for potential misfit were evaluated with respect to their impact on test specifications, psychometric quality, and coverage of academic content standards.
Step 2: Next, parameter estimates were transformed to the CAPA base scales using the Stocking and Lord (1983) procedure, using an embedded anchor set drawn from the 2005 forms. In the case of the 1-parameter model, this procedure is equivalent to estimating the mean difference between the new task parameter estimates for the common tasks and the previously scaled estimates. As commonly done in this approach, the linking process was carried out iteratively by inspecting differences between the transformed new and old (reference) estimates for the linking tasks, and, if necessary, removing tasks for which the task difficulty estimates changed significantly. The differences were calculated using the following formula:
2WRMSD = 61
w [P ( ) ( )θ − P θ ] , [3.6]∑ j n j r j j=1
where θj ranges from –3.0 to 3.0 by 0.1, wj is a weight equal to the proportion of estimated abilities from the transformed new form in interval j, Pn(θj) is the probability of a given score for the transformed new form task at ability level j, and Pr(θj) is the probability of the same score for the old (reference) form task.
Simply put, transformed new and old parameter estimates were evaluated using weighted (based on the reference form abilities) root mean square difference (WRMSD) statistics that summarize differences in task characteristic curves (ICCs).
The linking criteria required removing tasks with an WRMSD greater than 0.625 for Level I and 0.500 for Levels II–V. For the 2007 CAPA tests, no linking tasks were eliminated.
Step 3: Once the new calibrations for each test were transformed to the reference scale, IRT true score equating procedures were utilized to transform the new form number-correct scores to their respective reference form scale scores. The true score equating procedure is based on the relationship between raw scores and ability. For tests consisting entirely of multiple-choice tasks, this is the well-known relationship defined in Lord (1980; eq. 4–5):
ξ( )θ =∑ n
Pi ( ) ,θ [3.7] i=1
where Pi(θ) is the probability of a correct response to task i at ability level θ (defined by the Rasch model), ξ(θ) is the corresponding true score, and the summation is over the n tasks in the test.
For all CAPA tests, ξ(θ) is based on polytomously scored performance (constructed response) tasks2, and the relationship can be defined as:
ncr m
( ) ∑ ∑ ( )θ , [3.8]ξ θ = s Px xj j=1 x=1
where ncr is the number of constructed response tasks in the test, m is the number of score categories in each polytomously scored task, sx is the score value for category x, and Pxj(θ) is the probability of a score in category x at ability θ (defined by the Rasch partial credit model). For Level I there are six possible scores per task: 0, 1, 2, 3, 4, and 5. For Levels II–V there are five
2 See Chapter 1 for the scoring rubric.
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Chapter 3. Analysis | Statistical Analysis Results
possible scores: 0, 1, 2, 3, and 4. A score of zero is only assigned for students who fail to respond to the prompt.
For each integer score ξ n on the new form, the true score equating procedure first solved for the corresponding ability level using equation 7. Next, the procedure used that ability level to find the corresponding score ξ b on the base or reference form. Finally, each score ξ b was transformed to the appropriate CAPA scale score scale using the reference form CAPA raw-score-to-scale-score conversion tables and linear interpolation.
Equating Samples The 2007 equating samples were selected from available student records in a data file obtained in
early June. These data consisted of approximately 17 to 25 percent of the total CAPA testing data that were eventually available when all testing was completed. The use of partial student samples for equating was necessitated by score reporting deadlines, and was approved by the CDE. Only students with valid results on the CAPA tests were included in the equating samples.
Statistical Analysis Results This section contains the tabled results of the analyses described above. Individual classical task
statistics (AIS and polyserial correlations) and associated flags are provided in Appendix A on page 109.
Table 3.3 provides a general statistical summary of each CAPA ELA and mathematics test by level. For each level and content area, test level statistics include the scale score mean, standard deviation, median, and range, as well as the internal consistency reliability (coefficient alpha) and standard error of measurement. Task/task summary statistics include the means and standard deviations for the average task scores, polyserial correlations, and Rasch difficulties. Reliability coefficients ranged from 0.88 (Mathematics Level II and Level IV) to 0.92 (ELA Level V). Mean equated Rasch difficulties ranged from -0.74 (ELA Level II) to 0.02 (ELA Level I).
Tables 3.4 and 3.5 provide the frequency and percent of operational task scores for each level of ELA and Mathematics. More than 50% of examinees were awarded the highest task score on 15 of the 40 ELA tasks, six of which are on the Level II test. In Mathematics, more than 50% of examinees received the highest rating on 14 of the 40 tasks, with five of the tasks from the Level II test and five from the Level III test.
Tables 3.6–3.10 provide the content area raw score means and standard deviations and the raw score intercorrelations for each CAPA level. Intercorrelations ranged from 0.76 (Level III ELA and Science; Level IV ELA and Science) to 0.88 (Level I Mathematics and Science; Level I Mathematics and ELA) indicating a moderate to high degree of correlation between performance on the content areas. Given the functional nature of many of the standards being assessed on CAPA, this degree of correlation is not surprising.
DIF and SMD statistics for operational and field test tasks flagged for C category ethnic and disability DIF are provided in Tables 3.11 and 3.12, respectively. For ethnic comparisons, the reference group is White. One science task, two Mathematics, and 15 ELA tasks were flagged for ethnic DIF. This included White compared to Asian, Filipino, Combination Asian, and Black. No tasks were flagged for gender DIF. A number of tasks in all three content areas were flagged for disability DIF. For this, the reference group is Mental Retardation. For the operational tasks, all tasks flagged for DIF by disability involved the Mental Retardation/Autism comparison, mostly in ELA.
Tables 3.13–3.17 summarize the results of examiner and observer double ratings of each operational ELA and Mathematics task. Included are the mean and standard deviation of assigned ratings, the percentage of exact and adjacent ratings and percentage of ratings that differ by more than one score point (neither exact nor adjacent), as well as the mean absolute difference and the correlation between ratings for the examiner and the observer. Mean absolute differences (MAD)
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Chapter 3. Analysis | Statistical Analysis Results
range from 0.03–0.21. The correlations between examiner and observer ratings range from 0.89– 0.98.
The classification reliability for both accuracy and consistency are reported in Tables 3.18–3.27. The decision accuracy for ELA ranges from 0.69–0.78 across all performance levels and from 0.90– 0.94 for the proficient and above classification. The decision accuracy for mathematics ranges from 0.66–0.76 across all performance levels and from 0.90–0.93 for the proficient and above classification. The decision consistency for ELA ranges from 0.61–0.70 across all performance levels and from 0.87–0.91 for the proficient and above classification. The decision consistency for Mathematics ranges from 0.56–0.68 across all performance levels and from 0.84–0.89 for the proficient and above classification.
Table 3.28 provides the means and standard deviations of the 2007 CAPA equating samples, as well as the 2007 total examinee population. The equating samples were very similar to the total examinee population.
Table 3.29 presents, for each CAPA test, the number of common tasks between the 2007 (new) and 2005 (reference) test forms, the number of tasks removed from the common task sets, the final correlations between the new and reference difficulty estimates, and the average WRMSD statistic (see equation 1) across the final set of common tasks. These results indicate that the new and reference difficulty estimates for the common tasks were highly correlated (0.97 or higher) and similar in magnitude (average WRMSD values of 0.10 and lower).
The raw-to-scale-to-performance level conversions and CSEMs are presented in Tables 3.30–3.39 for ELA and Mathematics. Tables 3.40–3.44 present the scale score frequency distributions for ELA and Mathematics by level. In Level I ELA approximately 18% of students obtained the highest scale score. Note that gaps in the table indicate scale scores that were not in the 2007 raw-to-scale conversion tables. Tables 3.45–3.48 present the raw score frequency distributions for Science field tests in Levels I, III, IV, and V.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 21
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts Ta
ble
3.3
Ope
ratio
nal T
est a
nd A
ssoc
iate
d Ta
sk S
umm
ary
Stat
istic
s I
II
III
IV
VL
evel
/Con
tent
E
LA
M
ath
EL
A
Mat
h E
LA
M
ath
EL
A
Mat
h E
LA
M
ath
Scal
e Sc
ore
Info
rmat
ion
Num
ber o
f Exa
min
ees
9240
92
06
6554
65
43
6687
66
81
1060
4 10
581
1005
1 10
031
Mea
n Sc
ore
43.9
4 33
.62
38.5
1 40
.03
37.8
7 41
.49
36.0
2 34
.98
38.2
8 35
.77
SD*
12.9
0 10
.77
9.00
8.
79
10.4
9 10
.60
9.43
10
.44
10.7
9 10
.27
Poss
ible
Ran
ge
15–6
0 15
–60
15–6
0 15
–60
15–6
0 15
–60
15–6
0 15
–60
15–6
0 15
–60
Obt
aine
d R
ange
15
–60
15–6
0 15
–60
15–6
0 15
–60
15–6
0 15
–60
15–6
0 15
–60
15–6
0 M
edia
n 45
34
38
39
38
41
36
34
38
35
R
elia
bilit
y 0.
91
0.91
0.
90
0.88
0.
90
0.90
0.
90
0.88
0.
92
0.91
SE
M**
3.
87
3.23
2.
85
3.04
3.
32
3.35
2.
98
3.62
3.
05
3.08
Raw
Sco
re In
form
atio
n
Mea
n Sc
ore
25.0
9 22
.19
23.7
9 23
.02
22.1
3 23
.63
21.2
5 21
.59
21.7
8 19
.17
SD*
11.1
4 11
.51
7.18
7.
38
7.77
7.
55
7.69
7.
72
7.92
7.
98
Poss
ible
Ran
ge
0-40
0-
40
0-32
0-
32
0-32
0-
32
0-32
0-
32
0-32
0-
32
Obt
aine
d R
ange
0-
40
0-40
0-
32
0-32
0-
32
0-32
0-
32
0-32
0-
32
0-32
M
edia
n 27
24
26
25
24
26
23
23
24
19
R
elia
bilit
y 0.
91
0.91
0.
90
0.88
0.
90
0.90
0.
90
0.88
0.
92
0.91
SE
M**
3.
34
3.45
2.
27
2.56
2.
46
2.39
2.
43
2.67
2.
24
2.39
Task
Info
rmat
ion
Num
ber o
fTas
ks
8 8
8 8
8 8
8 8
8 8
Mea
n A
IS**
* 3.
14
2.77
2.
98
2.89
2.
76
2.96
2.
65
2.69
2.
73
2.41
SD
AIS
***
0.51
0.
18
0.29
0.
41
0.31
0.
35
0.34
0.
41
0.34
0.
42
Ran
ge A
IS
2.41
–3.9
4 2.
37–3
.95
2.52
–3.2
3 2.
07–3
.50
2.41
–3.4
1 2.
45–3
.46
2.22
–3.1
6 1.
84–3
.20
2.00
–3.0
9 1.
76–3
.04
Poss
ible
Ran
ge
0–5
0–5
0–4
0–4
0–4
0–4
0–4
0–4
0–4
0–4
Mea
n Po
lyse
rial
0.82
0.
82
0.78
0.
77
0.80
0.
80
0.79
0.
78
0.82
0.
83
SD P
olys
eria
l 0.
05
0.02
0.
03
0.08
0.
03
0.03
0.
06
0.04
0.
04
0.04
R
ange
Pol
yser
ial
0.71
–0.8
5 0.
79–0
.84
0.74
–0.8
1 0.
65–0
.87
0.73
–0.8
3 0.
76–0
.83
0.71
–0.8
6 0.
70–0
.82
0.77
–0.8
8 0.
75–0
.87
Mea
n R
asch
Diff
icul
ty
0.02
-0
.22
-0.7
4 -0
.34
-0.4
5 -0
.53
-0.2
9 -0
.51
-0.1
8 -0
.14
SD R
asch
Diff
icul
ty
0.34
0.
16
0.27
0.
44
0.46
0.
38
0.39
0.
43
0.34
0.
46
Ran
ge o
f Ras
ch D
iffic
ulty
(-
0.48
) –
(-0.
34) –
(-
1.01
) –
(-1.
03) –
(-
1.31
) –
(-1.
19) –
(-(-
1.15
) –
(-1.
06) –
(-
0.62
) –
(-0.
88) –
0.
51
0.15
(-
0.29
) 0.
53
0.00
3 0.
06)
0.16
0.
41
0.56
0.
55
*Sta
ndar
d D
evia
tion
| **S
tand
ard
Erro
r of M
easu
rem
ent |
***
AIS
= A
vera
ge T
ask
(Ite
m) S
core
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
22
8
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
4 Fr
eque
ncy
of O
pera
tiona
l Tas
k Sc
ores
: ELA
E
LA
Sco
re/T
ask
1 2
3 4
5 6
7 L
evel
C
ount
Pe
rcen
t C
ount
Pe
rcen
t C
ount
Per
cent
C
ount
Per
cent
C
ount
Per
cent
C
ount
Per
cent
C
ount
Per
cent
C
ount
Per
cent
I
0 11
21
12.1
6 13
30
14.4
5 59
4 6.
48
1070
11
.64
881
9.59
72
0 7.
84
1213
13
.21
900
9.81
1
1229
13
.33
1791
19
.46
1009
11
.01
1272
13
.84
1097
11
.95
720
7.84
14
88
16.2
1 10
85
11.8
2
2 18
90
20.5
0 23
53
25.5
6 10
82
11.8
1 19
99
21.7
4 10
10
11.0
0 41
7 4.
54
2442
26
.60
1546
16
.85
3
849
9.21
97
7 10
.61
610
6.66
80
6 8.
77
825
8.98
59
5 6.
48
863
9.40
74
4 8.
11
4 96
4 10
.46
837
9.09
10
78
11.7
6 86
8 9.
44
979
10.6
6 77
1 8.
39
666
7.25
90
8 9.
90
5 31
65
34.3
3 19
16
20.8
2 47
90
52.2
8 31
78
34.5
7 43
90
47.8
1 59
64
64.9
2 25
10
27.3
4 39
93
43.5
2
II
0 14
5 2.
14
258
3.81
17
6 2.
60
117
1.73
20
9 3.
09
277
4.10
13
2 1.
95
141
2.10
1
612
9.04
39
0 5.
76
1544
22
.84
1225
18
.12
1176
17
.37
496
7.34
91
4 13
.53
1324
19
.68
2
802
11.8
4 71
8 10
.61
1777
26
.29
641
9.48
21
29
31.4
5 66
5 9.
84
902
13.3
5 50
7 7.
53
3 13
58
20.0
6 16
55
24.4
6 11
51
17.0
3 11
00
16.2
7 12
43
18.3
6 14
98
22.1
7 81
4 12
.05
1320
19
.62
4
3854
56
.92
3746
55
.36
2112
31
.24
3677
54
.39
2012
29
.72
3821
56
.55
3993
59
.11
3437
51
.08
III
0 13
0 1.
87
129
1.86
16
3 2.
35
573
8.27
43
0 6.
20
311
4.50
15
5 2.
24
385
5.58
1
1072
15
.46
410
5.92
21
56
31.1
1 11
02
15.9
0 11
39
16.4
3 13
21
19.1
0 12
27
17.7
3 20
60
29.8
3
2 13
34
19.2
3 63
6 9.
19
852
12.2
9 11
92
17.2
0 14
84
21.4
1 12
90
18.6
5 13
78
19.9
1 10
75
15.5
7
3 10
41
15.0
1 10
50
15.1
6 10
54
15.2
1 10
65
15.3
7 13
37
19.2
9 19
97
28.8
8 61
1 8.
83
1035
14
.99
4
3359
48
.43
4699
67
.87
2705
39
.03
2997
43
.25
2542
36
.67
1997
28
.88
3550
51
.29
2350
34
.03
IV
0 15
4 1.
43
588
5.45
34
2 3.
19
510
4.73
54
7 5.
07
695
6.44
54
2 5.
03
335
3.11
1
817
7.58
28
27
26.2
1 27
84
25.9
7 23
83
22.1
2 16
14
14.9
5 15
08
13.9
8 34
55
32.0
7 33
32
30.9
4
2 13
67
12.6
8 10
34
9.59
32
46
30.2
8 77
1 7.
16
1675
15
.52
1453
13
.47
2313
21
.47
2671
24
.80
3
3044
28
.25
1628
15
.10
2138
19
.94
1498
13
.91
2202
20
.40
1793
16
.62
1765
16
.38
1278
11
.87
4
5395
50
.06
4708
43
.65
2210
20
.62
5611
52
.08
4757
44
.07
5336
49
.48
2699
25
.05
3151
29
.26
V
0 36
8 3.
64
269
2.68
27
9 2.
76
471
4.68
58
8 5.
82
530
5.25
22
6 2.
24
346
3.44
1
4454
44
.05
1581
15
.73
1732
17
.14
2192
21
.76
1275
12
.61
962
9.53
13
25
13.1
3 27
64
27.4
5
2 18
70
18.4
9 25
15
25.0
3 21
15
20.9
3 77
2 7.
66
1414
13
.99
1241
12
.29
1652
16
.37
1486
14
.76
3
1681
16
.63
2276
22
.65
3112
30
.80
1265
12
.56
1494
14
.78
1728
17
.12
2074
20
.55
1502
14
.91
4
1738
17
.19
3408
33
.91
2865
28
.36
5374
53
.35
5337
52
.80
5633
55
.81
4816
47
.72
3973
39
.45
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
23
8
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
5 Fr
eque
ncy
of O
pera
tiona
l Tas
k Sc
ores
: Mat
hem
atic
s M
ath
Scor
e/T
ask
1 2
3 4
5 6
7 L
evel
C
ount
Per
cent
C
ount
Per
cent
Cou
nt P
erce
nt
Cou
nt P
erce
nt
Cou
nt P
erce
nt C
ount
Per
cent
C
ount
Per
cent
C
ount
Per
cent
I
0 20
31
22.1
0 10
12
11.0
3 10
55
11.5
3 10
76
11.7
6 11
04
12.0
9 11
61
12.6
9 11
39
12.4
4 11
43
12.5
1
1 20
09
21.8
6 13
44
14.6
5 13
27
14.5
1 13
09
14.3
1 13
35
14.6
2 15
74
17.2
0 14
73
16.0
9 15
55
17.0
2
2 12
99
14.1
4 21
45
23.3
8 20
80
22.7
4 19
63
21.4
6 17
81
19.5
0 20
94
22.8
8 22
22
24.2
7 16
93
18.5
3
3 54
7 5.
95
871
9.49
88
5 9.
67
821
8.97
78
8 8.
63
905
9.89
82
0 8.
96
872
9.54
4
673
7.32
90
4 9.
85
895
9.78
89
5 9.
78
844
9.24
86
1 9.
41
827
9.03
86
0 9.
41
5 26
30
28.6
2 28
98
31.5
9 29
06
31.7
7 30
85
33.7
2 32
80
35.9
2 25
57
27.9
4 26
73
29.2
0 30
15
32.9
9
II
0 11
8 1.
75
199
2.96
21
4 3.
17
283
4.19
21
9 3.
25
102
1.51
27
4 4.
07
152
2.26
1
594
8.81
16
68
24.8
0 25
47
37.7
3 11
17
16.5
4 17
17
25.4
4 14
16
20.9
9 92
4 13
.71
1415
21
.08
2
435
6.45
99
0 14
.72
1265
18
.74
367
5.43
59
5 8.
82
752
11.1
5 50
4 7.
48
716
10.6
6
3 28
6 4.
24
1267
18
.83
1960
29
.04
1751
25
.93
740
10.9
7 91
4 13
.55
764
11.3
4 77
1 11
.48
4
5310
78
.75
2603
38
.69
764
11.3
2 32
36
47.9
1 34
77
51.5
3 35
63
52.8
1 42
74
63.4
1 36
60
54.5
1
III
0 17
1 2.
47
179
2.59
17
6 2.
55
120
1.73
17
0 2.
46
168
2.43
30
0 4.
34
182
2.67
1
2007
28
.98
1734
25
.05
1263
18
.29
473
6.84
12
53
18.1
4 73
9 10
.69
1790
25
.90
1081
15
.85
2
926
13.3
7 13
72
19.8
2 58
3 8.
44
543
7.85
49
6 7.
18
796
11.5
1 59
4 8.
59
689
10.1
0
3 14
53
20.9
8 19
80
28.6
0 69
9 10
.12
852
12.3
1 63
8 9.
24
1375
19
.88
895
12.9
5 74
6 10
.94
4
2368
34
.19
1657
23
.94
4186
60
.61
4932
71
.27
4349
62
.97
3837
55
.49
3333
48
.22
4122
60
.44
IV
0 44
2 4.
10
184
1.71
23
5 2.
19
302
2.81
98
3 9.
13
245
2.28
34
7 3.
24
297
2.80
1
2877
26
.72
2051
19
.06
2176
20
.23
2621
24
.41
5771
53
.62
3038
28
.27
1855
17
.31
2413
22
.78
2
1671
15
.52
576
5.35
18
60
17.3
0 17
19
16.0
1 60
1 5.
58
1724
16
.04
800
7.46
10
27
9.70
3
2091
19
.42
411
3.82
27
84
25.8
9 70
4 6.
56
644
5.98
93
7 8.
72
1287
12
.01
1615
15
.25
4
3688
34
.25
7536
70
.05
3699
34
.40
5391
50
.21
2763
25
.67
4803
44
.69
6429
59
.98
5239
49
.47
V
0 35
1 3.
48
487
4.84
25
1 2.
50
358
3.56
69
3 6.
88
330
3.29
47
1 4.
69
393
3.94
1
2172
21
.52
1758
17
.46
1986
19
.74
1403
13
.94
4611
45
.77
4120
41
.08
5850
58
.21
4244
42
.58
2
1317
13
.05
1899
18
.86
1115
11
.08
2963
29
.44
540
5.36
16
83
16.7
8 84
0 8.
36
1570
15
.75
3
1843
18
.26
3262
32
.40
502
4.99
18
45
18.3
3 65
6 6.
51
1420
14
.16
1344
13
.37
1475
14
.80
4
4408
43
.68
2662
26
.44
6205
61
.69
3494
34
.72
3574
35
.48
2477
24
.70
1544
15
.36
2284
22
.92
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
24
Chapter 3. Analysis | Statistical Analysis Results
Table 3.6 Raw Score Intercorrelations by Section: Level I ELA Mathematics Science*
ELA – 0.88 0.86 Mathematics – 0.88 Science – N 9240 9206 2815 Raw Score Mean 25.09 22.19 13.05 Raw Score SD 11.14 11.51 7.46
*Science raw scores are based on 5 tasks common across field-test forms.
Table 3.7 Raw Score Intercorrelations by Section: Level II ELA Mathematics
ELA – 0.86 Mathematics – N 6554 6543 Raw Score Mean 23.79 23.02 Raw Score Std 7.18 7.38
Table 3.8 Raw Score Intercorrelations by Section: Level III ELA Mathematics Science*
ELA – 0.86 0.76 Mathematics – 0.79 Science – N 6687 6681 3414 Raw Score Mean 22.13 23.63 14.19 Raw Score Std 7.77 7.55 4.26
*Science raw scores are based on 5 tasks common across field-test forms.
Table 3.9 Raw Score Intercorrelations by Section: Level IV ELA Mathematics Science*
ELA – 0.84 0.76 Mathematics – 0.77 Science – N 10604 10581 3779 Raw Score Mean 21.25 21.59 12.57 Raw Score Std 7.69 7.72 4.49
* Science raw scores are based on 5 tasks common across field-test forms.
Table 3.10 Raw Score Intercorrelations by Section: Level V ELA Mathematics Science*
ELA – 0.86 0.78 Mathematics – 0.77 Science – N 10051 10031 3539 Raw Score Mean 21.78 19.17 13.49 Raw Score Std 7.92 7.98 4.54
*Science raw scores are based on 5 tasks common across field-test forms.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 25
Chapter 3. Analysis | Statistical Analysis Results
Table 3.11 Ethnic Group DIF Statistics for C Category Tasks
Content Area Task No. Level Task# Version SMD Comparison Disadvantaged
ELA VB487173 3 6 OP -0.469 White/Asian Asian
VB397804 3 7 OP -0.466 White/Asian Asian
VB541371 3 11 OP 0.323 White/Asian White
VB487173 3 6 OP -0.367 White/Filipino Filipino
VB397804 3 7 OP -0.398 White/Filipino Filipino
VB487173 3 6 OP -0.379 White/Comb Asian Comb Asian
VB397804 3 7 OP -0.411 White/Comb Asian Comb Asian
VB539454 4 11 OP 0.339 White/Asian White
VB397806 4 7 OP -0.341 White/Filipino Filipino
VB539454 4 11 OP 0.354 White/Filipino White
VC208234 2 10 FT -0.323 White/Black Black
VC208254 2 6/1 FT -0.274 White/Asian Asian
VC208254 2 6/1 FT -0.242 White/Comb Asian Comb Asian
VC208214 2 6 FT -0.498 White/Comb Asian Comb Asian
VC208234 2 10 FT -0.361 White/Comb Asian Comb Asian
Mathematics VC203908 2 16 FT -0.225 White/Black Black
VC205530 2 13 FT -0.407 White/Comb Asian Comb Asian
Science VC206341 3 36 FT -0.351 White/Comb Asian Comb Asian
CAPA Technical Report | Spring 2007 Administration February 2008 Page 26
Chapter 3. Analysis | Statistical Analysis Results
Table 3.12 Disability Group DIF Statistics for C Category Tasks
Disability Group DIF Statistics for C Category Tasks Content Area Task No. Level Task# Version SMD Comparison Disadvantaged
ELA OP Tasks VB397808 1 5 OP 0.479 MR/VI MR
VB397808 1 5 OP 0.465 MR/OI MR
VB429438 2 3 OP -0.292 MR/AU AU
VB487040 2 4 OP 0.449 MR/AU MR
VB486738 2 5 OP 0.310 MR/AU MR
VB540161 2 9 OP -0.321 MR/AU AU
VB539452 2 11 OP 0.349 MR/AU MR
VB487040 3 2 OP 0.409 MR/AU MR
VB487173 3 6 OP -0.602 MR/AU AU
VB397804 3 7 OP -0.638 MR/AU AU
VB540186 3 8 OP -0.322 MR/AU AU
VB541371 3 11 OP 0.489 MR/AU MR
VB539450 3 12 OP 0.597 MR/AU MR
VB539454 4 11 OP 0.352 MR/SI MR
VB397806 4 7 OP -0.408 MR/AU AU
VB487173 4 8 OP -0.403 MR/AU AU
VB539454 4 11 OP 0.670 MR/AU MR
VB411735 5 6 OP -0.339 MR/AU AU
VB487173 5 8 OP -0.399 MR/AU AU
VB540151 5 11 OP 0.447 MR/AU MR
ELA FT Tasks VC205948 1 3, 1 3, 5 -0.514 MR/OI OI
February 2008 Page 27
CAPA Technical Report | Spring 2007 Administration
Chapter 3. Analysis | Statistical Analysis Results
Disability Group DIF Statistics for C Category Tasks Content Area Task No. Level Task# Version SMD Comparison Disadvantaged
VC205948 1 3, 1 3, 5 0.492 MR/AU MR
VC208241 2 8 1, 2, 5, 6 0.317 MR/SI MR
VC208241 2 8 1, 2, 5, 6 0.350 MR/SL MR
VC208254 2 6, 1 1, 5; 2, 4, 6, 8 -0.298 MR/AU AU
VC208233 2 10 1, 5 0.393 MR/AU MR
VC208257 2 8 3, 7 -0.297 MR/AU AU
VC208245 2 10 3, 7 -0.355 MR/AU AU
VC208214 2 6 4, 8 -0.457 MR/AU AU
VC208309 3 9 3, 7 -0.350 MR/AU AU
VC208299 3 1 4, 8 -0.357 MR/AU AU
VC208510 4 1 1, 8 0.547 MR/AU MR
VC208483 4 2 1, 8 -0.366 MR/AU AU
VC208341 4 10 1, 8 0.711 MR/AU MR
VC208409 4 2 3 -0.303 MR/AU AU
VC208488 4 10 4 0.365 MR/AU MR
VC208471 4 2 5 -0.664 MR/AU AU
VC208595 4 1 7 -0.356 MR/AU AU
VC208649 5 9 1, 7 0.425 MR/AU MR
VC208654 5 9 2, 8 0.457 MR/AU MR
VC208675 5 10 2, 8 -0.560 MR/AU AU
VC208632 5 7 3 -0.346 MR/AU AU
VC208658 5 9 3 0.343 MR/AU MR
VC208679 5 10 3 -0.384 MR/AU AU
CAPA Technical Report | Spring 2007 Administration February 2008 Page 28
Chapter 3. Analysis | Statistical Analysis Results
Disability Group DIF Statistics for C Category Tasks Content Area Task No. Level Task# Version SMD Comparison Disadvantaged
VC208660 5 10 4 0.742 MR/AU MR
VC208668 5 10 5 0.374 MR/AU MR
Math OP Tasks VB323291 2 19 OP -0.338 MR/AU AU
VB487027 3 14 OP 0.330 MR/AU MR
Math FT Tasks VC205546 2 13 1, 5 0.322 MR/AU MR
VC205563 2 15 2, 6 0.412 MR/AU MR
VC205611 2 22 2, 6 0.413 MR/AU MR
VC207333 3 22 1, 5 0.382 MR/AU MR
VC207348 3 13 2, 6 0.593 MR/AU MR
VC207451 3 22 3, 7 -0.321 MR/AU AU
VC207831 4 17 1, 8 0.529 MR/SL MR
VC207482 4 18 1, 8 0.413 MR/SL MR
VC207535 4 22 1, 8 0.439 MR/SL MR
Math FT Tasks VC207831 4 17 1, 8 0.308 MR/AU MR
VC207949 4 22 3 -0.362 MR/AU AU
VC207541 4 20 4 0.486 MR/AU MR
VC207969 5 20 3 0.495 MR/AU MR
VC208074 5 20 5 0.375 MR/AU MR
Science OP Tasks - - - - - - -
Science FT Tasks VC206206 1 31; 34 1, 3, 5, 7; 2, 4, 6, 8 -0.549 MR/OI OI
VC206601 4 31 1, 3, 5, 7 0.316 MR/AU MR
VC206555 4 29 2, 4, 6, 8 0.313 MR/AU MR
February 2008 CAPA Technical Report | Spring 2007 Administration Page 29
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
13 D
oubl
e R
ater
Sum
mar
y fo
r Ope
ratio
nal T
asks
: Lev
el I
Lev
el I
Firs
t Rat
ing
Seco
nd R
atin
g %
Agr
eem
ent
MA
D*
Cor
r**
Subj
ect
Tas
k N
M
ean
SD
N
Mea
n SD
E
xact
A
djac
ent
Nei
ther
EL
A
2 95
1 3.
05
1.81
95
1 3.
02
1.82
90
.85
6.94
2.
21
0.13
0.
96
4 95
1 2.
51
1.74
95
1 2.
48
1.74
89
.48
7.68
2.
84
0.15
0.
95
5 95
1 3.
83
1.69
95
1 3.
82
1.69
89
.38
6.10
4.
52
0.21
0.
89
6 95
1 3.
01
1.78
95
1 3.
00
1.80
91
.17
5.99
2.
84
0.14
0.
95
8 95
1 3.
56
1.81
95
1 3.
55
1.81
89
.38
7.57
3.
05
0.17
0.
93
9 95
1 4.
09
1.60
95
1 4.
07
1.62
91
.90
5.57
2.
53
0.14
0.
93
11
951
2.64
1.
80
951
2.61
1.
81
90.7
5 6.
20
3.05
0.
15
0.94
12
95
1 3.
38
1.80
95
1 3.
38
1.81
91
.69
6.10
2.
21
0.13
0.
95
Mat
hem
atic
s 1
921
2.54
1.
94
921
2.52
1.
96
92.6
2 5.
75
1.63
0.
10
0.97
2
921
3.04
1.
76
921
3.02
1.
76
91.7
5 6.
62
1.63
0.
11
0.97
3
921
3.02
1.
76
921
3.01
1.
76
90.6
6 6.
95
2.39
0.
14
0.95
5
921
3.06
1.
77
921
3.05
1.
80
90.6
6 6.
08
3.26
0.
16
0.94
6
921
3.18
1.
79
921
3.17
1.
79
93.4
9 4.
78
1.73
0.
10
0.97
9
921
2.88
1.
78
921
2.89
1.
78
90.4
5 6.
84
2.71
0.
14
0.95
11
92
1 2.
84
1.72
92
1 2.
84
1.74
90
.34
6.73
2.
93
0.15
0.
95
12
921
3.03
1.
79
921
3.04
1.
80
88.9
3 8.
58
2.49
0.
16
0.95
* M
ean
abso
lute
diff
eren
ce b
etw
een
first
and
seco
nd ra
tings
, **
Pear
son
corr
elat
ion
betw
een
first
and
seco
nd ra
tings
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
30
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
14 D
oubl
e R
ater
Sum
mar
y fo
r Ope
ratio
nal T
asks
: Lev
el II
L
evel
II
Firs
t Rat
ing
Seco
nd R
atin
g %
Agr
eem
ent
MA
D*
Cor
r**
Subj
ect
Tas
k N
M
ean
SD
N
Mea
n SD
E
xact
A
djac
ent
Nei
ther
EL
A
2 76
9 3.
21
1.11
76
9 3.
20
1.14
97
.01
1.69
1.
30
0.05
0.
95
3 76
9 3.
25
1.06
76
9 3.
23
1.09
94
.80
3.51
1.
69
0.09
0.
91
4 76
9 2.
49
1.20
76
9 2.
48
1.22
94
.67
3.51
1.
82
0.08
0.
94
5 76
9 3.
10
1.20
76
9 3.
07
1.23
93
.89
4.42
1.
69
0.10
0.
93
7 76
9 2.
52
1.15
76
9 2.
51
1.16
92
.59
5.85
1.
56
0.09
0.
95
9 76
9 3.
28
1.07
76
9 3.
26
1.10
95
.45
3.25
1.
30
0.07
0.
95
11
769
3.15
1.
19
769
3.12
1.
22
95.7
1 2.
86
1.43
0.
07
0.95
12
76
9 2.
90
1.29
76
9 2.
90
1.30
94
.02
3.51
2.
47
0.10
0.
94
Mat
hem
atic
s 2
769
3.53
1.
03
769
3.51
1.
05
96.1
0 2.
21
1.69
0.
07
0.92
5
769
2.64
1.
30
769
2.62
1.
30
93.2
4 5.
33
1.43
0.
09
0.96
6
769
2.09
1.
10
769
2.09
1.
10
93.7
6 5.
59
0.65
0.
07
0.95
7
769
2.96
1.
24
769
2.95
1.
26
94.5
4 2.
47
2.99
0.
09
0.95
8
769
2.80
1.
39
769
2.79
1.
40
95.9
7 3.
25
.078
0.
05
0.98
9
769
2.98
1.
25
769
2.98
1.
26
94.9
3 3.
64
1.43
0.
07
0.96
11
76
9 3.
22
1.23
76
9 3.
22
1.24
96
.23
2.47
1.
30
0.06
0.
96
12
769
2.97
1.
32
769
2.99
1.
30
95.5
8 2.
86
1.56
0.
07
0.95
* M
ean
abso
lute
diff
eren
ce b
etw
een
first
and
seco
nd ra
tings
, **
Pear
son
corr
elat
ion
betw
een
first
and
seco
nd ra
tings
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
31
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
15 D
oubl
e R
ater
Sum
mar
y fo
r Ope
ratio
nal T
asks
: Lev
el II
I L
evel
III
Firs
t Rat
ing
Seco
nd R
atin
g %
Agr
eem
ent
MA
D*
Cor
r**
Subj
ect
Tas
k N
M
ean
SD
N
Mea
n SD
E
xact
A
djac
ent
Nei
ther
EL
A
2 79
1 2.
99
1.14
79
1 3.
00
1.13
97
.47
1.64
0.
89
0.04
0.
97
3 79
1 3.
53
0.89
79
1 3.
50
0.93
96
.97
1.90
1.
13
0.05
0.
92
4 79
1 2.
52
1.32
79
1 2.
51
1.32
94
.06
4.30
1.
64
0.09
0.
95
6 79
1 2.
73
1.36
79
1 2.
69
1.36
90
.52
7.96
1.
52
0.12
0.
95
7 79
1 2.
69
1.25
79
1 2.
66
1.27
92
.92
5.56
1.
52
0.09
0.
95
8 79
1 2.
62
1.14
79
1 2.
62
1.15
92
.67
5.69
1.
64
0.10
0.
92
11
791
3.05
1.
20
791
3.03
1.
22
96.8
4 1.
77
1.39
0.
06
0.96
12
79
1 2.
52
1.34
79
1 2.
51
1.35
95
.32
3.16
1.
52
0.08
0.
95
Mat
hem
atic
s 2
797
2.61
1.
25
797
2.62
1.
25
96.4
9 2.
26
1.25
0.
06
0.96
3
797
2.45
1.
13
797
2.45
1.
12
96.2
4 2.
89
0.88
0.
05
0.97
5
797
3.15
1.
27
797
3.17
1.
25
96.1
1 2.
76
1.13
0.
06
0.96
7
797
3.58
0.
84
797
3.58
0.
84
97.8
7 1.
51
0.62
0.
03
0.97
8
797
3.25
1.
20
797
3.24
1.
21
96.9
9 1.
88
1.13
0.
05
0.97
9
797
3.23
1.
07
797
3.22
1.
08
96.7
4 2.
51
0.75
0.
05
0.96
11
79
7 2.
74
1.34
79
7 2.
73
1.35
96
.61
2.26
1.
13
0.05
0.
97
12
797
3.25
1.
17
797
3.27
1.
15
96.6
1 1.
13
2.26
0.
08
0.91
* M
ean
abso
lute
diff
eren
ce b
etw
een
first
and
seco
nd ra
tings
, **
Pear
son
corr
elat
ion
betw
een
first
and
seco
nd ra
tings
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
32
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
16 D
oubl
e R
ater
Sum
mar
y fo
r Ope
ratio
nal T
asks
: Lev
el IV
L
evel
IV
Firs
t Rat
ing
Seco
nd R
atin
g %
Agr
eem
ent
MA
D*
Cor
r**
Subj
ect
Tas
k N
M
ean
SD
N
Mea
n SD
E
xact
A
djac
ent
Nei
ther
EL
A
3 10
26
3.24
0.
95
1026
3.
22
0.97
94
.64
4.48
0.
88
0.07
0.
95
4 10
26
2.71
1.
38
1026
2.
70
1.38
93
.27
4.87
1.
86
0.10
0.
95
5 10
26
2.27
1.
13
1026
2.
29
1.14
92
.01
6.43
1.
56
0.10
0.
94
6 10
26
2.96
1.
36
1026
2.
97
1.35
93
.18
4.87
1.
95
0.10
0.
95
7 10
26
2.91
1.
24
1026
2.
92
1.23
90
.06
7.99
1.
95
0.12
0.
94
8 10
26
2.97
1.
30
1026
2.
98
1.29
90
.94
6.73
2.
33
0.13
0.
93
11
1026
2.
33
1.26
10
26
2.33
1.
27
93.2
7 5.
26
1.47
0.
09
0.96
12
10
26
2.34
1.
27
1026
2.
34
1.28
90
.74
6.82
2.
44
0.13
0.
92
Mat
hem
atic
s 1
1022
2.
59
1.28
10
22
2.60
1.
28
92.9
5 5.
.87
1.18
0.
09
0.95
2
1022
3.
27
1.24
10
22
3.25
1.
25
94.5
2 2.
84
2.64
0.
10
0.93
3
1022
2.
76
1.16
10
22
2.77
1.
15
93.4
4 4.
89
1.67
0.
09
0.95
4
1022
2.
85
1.32
10
22
2.86
1.
32
95.0
1 3.
23
1.76
0.
08
0.95
7
1022
1.
79
1.36
10
22
1.80
1.
36
95.6
9 2.
94
1.37
0.
06
0.97
9
1022
2.
60
1.36
10
22
2.59
1.
36
92.5
6 5.
19
2.25
0.
11
0.94
11
10
22
3.13
1.
24
1022
3.
13
1.25
95
.30
3.23
1.
47
0.07
0.
95
12
1022
2.
95
1.29
10
22
2.96
1.
28
93.5
4 4.
70
1.76
0.
10
0.93
* M
ean
abso
lute
diff
eren
ce b
etw
een
first
and
seco
nd ra
tings
, **
Pear
son
corr
elat
ion
betw
een
first
and
seco
nd ra
tings
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
33
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
17 D
oubl
e R
ater
Sum
mar
y fo
r Ope
ratio
nal T
asks
: Lev
el V
L
evel
V
Firs
t Rat
ing
Seco
nd R
atin
g %
Agr
eem
ent
MA
D*
Cor
r**
Subj
ect
Tas
k N
M
ean
SD
N
Mea
n SD
E
xact
A
djac
ent
Nei
ther
EL
A
2 85
6 1.
82
1.13
85
6 1.
82
1.13
93
.34
5.84
0.
82
0.08
0.
96
3 85
6 2.
64
1.15
85
6 2.
62
1.16
92
.87
5.96
1.
17
0.09
0.
94
4 85
6 2.
55
1.08
85
6 2.
57
1.09
91
.24
7.36
1.
40
0.11
0.
92
5 85
6 2.
84
1.36
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34
Chapter 3. Analysis | Statistical Analysis Results
Table 3.18 Reliability of Classification and Decision Accuracy: Level I English–Language Arts*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
28–40 0.44 0.05 0.00 0.00 0.00 0.49 17–27 0.04 0.20 0.03 0.01 0.00 0.28 13–16 0.00 0.02 0.03 0.01 0.00 0.06
All-forms Average
9–12 0.00 0.00 0.02 0.03 0.01 0.06 0–8 0.00 0.00 0.01 0.02 0.08 0.11
Estimated Proportion Correctly Classified : Total = 0.78, Proficient & Above = 0.94
Decision Consistency
28–40 0.42 0.06 0.00 0.00 0.00 0.48 17–27 0.06 0.17 0.03 0.01 0.00 0.27 13–16 0.00 0.03 0.02 0.01 0.01 0.07
Alternate Form
9–12 0.00 0.01 0.01 0.02 0.02 0.06 0–8 0.00 0.01 0.01 0.02 0.07 0.11
Estimated Proportion Correctly Classified : Total =0.70, Proficient & Above = 0.91 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
Table 3.19 Reliability of Classification and Decision Accuracy: Level I Mathematics*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
35–40 0.13 0.03 0.00 0.00 0.00 0.16 25–34 0.04 0.22 0.05 0.01 0.00 0.32 18–24 0.00 0.04 0.11 0.04 0.00 0.19
All-forms Average
7–17 0.00 0.00 0.03 0.17 0.01 0.21 0–6 0.00 0.00 0.00 0.03 0.09 0.12
Estimated Proportion Correctly Classified : Total = 0.72, Proficient & Above = 0.90
Decision Consistency
35–40 0.13 0.03 0.00 0.00 0.00 0.16 25–34 0.06 0.18 0.06 0.01 0.00 0.32 18–24 0.00 0.06 0.08 0.05 0.00 0.19
Alternate Form
7–17 0.00 0.00 0.04 0.15 0.03 0.21 0–6 0.00 0.00 0.00 0.04 0.08 0.12
Estimated Proportion Correctly Classified : Total = 0.62, Proficient & Above = 0.87 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 35
Chapter 3. Analysis | Statistical Analysis Results
Table 3.20 Reliability of Classification and Decision Accuracy: Level II English–Language Arts*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
29–32 0.28 0.06 0.00 0.00 0.00 0.34 22–28 0.04 0.26 0.04 0.00 0.00 0.34 14–21 0.00 0.04 0.15 0.02 0.00 0.21
All-forms Average
8–13 0.00 0.00 0.03 0.05 0.01 0.08 0–7 0.00 0.00 0.00 0.01 0.02 0.03
Estimated Proportion Correctly Classified : Total = 0.76 , Proficient & Above = 0.92
Decision Consistency
29–32 0.26 0.07 0.00 0.00 0.00 0.34 22–28 0.07 0.21 0.06 0.00 0.00 0.34 14–21 0.00 0.06 0.13 0.03 0.00 0.21
Alternate Form
8–13 0.00 0.00 0.03 0.04 0.01 0.08 0–7 0.00 0.00 0.00 0.01 0.02 0.03
Estimated Proportion Correctly Classified : Total =0.66, Proficient & Above = 0.88 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
Table 3.21 Reliability of Classification and Decision Accuracy: Level II Mathematics*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
27–32 0.35 0.07 0.00 0.00 0.00 0.42 18–26 0.04 0.28 0.02 0.00 0.00 0.34 11–17 0.00 0.05 0.10 0.01 0.00 0.17
All-forms Average
8–10 0.00 0.00 0.02 0.01 0.01 0.04 0–7 0.00 0.00 0.00 0.01 0.02 0.03
Estimated Proportion Correctly Classified : Total = 0.76, Proficient & Above = 0.93
Decision Consistency
27–32 0.34 0.08 0.01 0.00 0.00 0.42 18–26 0.07 0.23 0.04 0.00 0.00 0.34 11–17 0.01 0.05 0.08 0.02 0.01 0.17
Alternate Form
8–10 0.00 0.00 0.02 0.01 0.01 0.04 0–7 0.00 0.00 0.00 0.01 0.02 0.03
Estimated Proportion Correctly Classified : Total =0.68, Proficient & Above =0.89 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 36
Chapter 3. Analysis | Statistical Analysis Results
Table 3.22 Reliability of Classification and Decision Accuracy: Level III English–Language Arts*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
27–32 0.31 0.06 0.00 0.00 0.00 0.37 21–26 0.04 0.17 0.04 0.00 0.00 0.25 16–20 0.00 0.04 0.09 0.03 0.00 0.15
All-forms Average
10–15 0.00 0.01 0.04 0.09 0.02 0.15 0–9 0.00 0.00 0.00 0.02 0.05 0.07
Estimated Proportion Correctly Classified : Total = 0.71, Proficient & Above = 0.91
Decision Consistency
27–32 0.30 0.06 0.01 0.00 0.00 0.37 21–26 0.06 0.14 0.05 0.01 0.00 0.25 16–20 0.00 0.05 0.07 0.03 0.00 0.15
Alternate Form
10–15 0.00 0.01 0.04 0.07 0.03 0.15 0–9 0.00 0.00 0.00 0.02 0.05 0.07
Estimated Proportion Correctly Classified : Total = 0.63, Proficient & Above = 0.87 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
Table 3.23 Reliability of Classification and Decision Accuracy: Level III Mathematics*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
28-32 0.36 0.06 0.01 0.00 0.00 0.43 20-27 0.03 0.24 0.02 0.00 0.00 0.30 14-19 0.00 0.04 0.09 0.02 0.00 0.15
All-forms Average
9-13 0.00 0.00 0.03 0.04 0.01 0.08 0-8 0.00 0.00 0.00 0.01 0.03 0.04
Estimated Proportion Correctly Classified : Total =0.76 , Proficient & Above = 0.93
Decision Consistency
28-32 0.34 0.07 0.01 0.00 0.00 0.43 20-27 0.06 0.20 0.04 0.00 0.00 0.30 14-19 0.00 0.05 0.07 0.03 0.00 0.15
Alternate Form
9-13 0.00 0.01 0.03 0.03 0.02 0.09 0-8 0.00 0.00 0.00 0.01 0.03 0.04
Estimated Proportion Correctly Classified : Total = 0.67, Proficient & Above = 0.89 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 37
Chapter 3. Analysis | Statistical Analysis Results
Table 3.24 Reliability of Classification and Decision Accuracy: Level IV English–Language Arts*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
27-32 0.26 0.06 0.00 0.00 0.00 0.32 21-26 0.04 0.19 0.05 0.00 0.00 0.27 16-20 0.00 0.04 0.09 0.02 0.00 0.16
All-forms Average
11-15 0.00 0.01 0.04 0.07 0.02 0.14 0-10 0.00 0.00 0.00 0.03 0.08 0.11
Estimated Proportion Correctly Classified : Total = 0.69, Proficient & Above = 0.90
Decision Consistency
27-32 0.25 0.06 0.01 0.00 0.00 0.32 21-26 0.06 0.15 0.05 0.01 0.00 0.27 16-20 0.00 0.05 0.07 0.03 0.00 0.16
Alternate Form
11-15 0.00 0.01 0.04 0.06 0.03 0.14 0-10 0.00 0.00 0.00 0.03 0.08 0.11
Estimated Proportion Correctly Classified : Total = 0.61, Proficient & Above = 0.87 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
Table 3.25 Reliability of Classification and Decision Accuracy: Level IV Mathematics*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
29-32 0.17 0.06 0.00 0.00 0.00 0.23 24-28 0.03 0.16 0.05 0.00 0.00 0.25 18-23 0.00 0.05 0.15 0.04 0.00 0.23
All-forms Average
13-17 0.00 0.00 0.04 0.07 0.02 0.14 0-12 0.00 0.00 0.01 0.04 0.11 0.15
Estimated Proportion Correctly Classified : Total =0.66, Proficient & Above = 0.90
Decision Consistency
29-32 0.16 0.06 0.01 0.00 0.00 0.23 24-28 0.06 0.12 0.06 0.01 0.00 0.25 18-23 0.01 0.06 0.11 0.05 0.01 0.23
Alternate Form
13-17 0.00 0.01 0.04 0.06 0.03 0.14 0-12 0.00 0.00 0.01 0.03 0.11 0.16
Estimated Proportion Correctly Classified : Total = 0.56, Proficient & Above = 0.84 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 38
Chapter 3. Analysis | Statistical Analysis Results
Table 3.26 Reliability of Classification and Decision Accuracy: Level V English–Language Arts*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
27-32 0.31 0.05 0.00 0.00 0.00 0.37 21-26 0.03 0.18 0.04 0.00 0.00 0.25 15-20 0.00 0.03 0.12 0.02 0.00 0.17
All-forms Average
12-14 0.00 0.00 0.03 0.03 0.02 0.08 0-11 0.00 0.00 0.01 0.02 0.10 0.14
Estimated Proportion Correctly Classified : Total = 0.74 , Proficient & Above = 0.93
Decision Consistency
27-32 0.30 0.06 0.01 0.00 0.00 0.37 21-26 0.05 0.14 0.05 0.00 0.00 0.25 15-20 0.00 0.04 0.09 0.02 0.01 0.17
Alternate Form
12-14 0.00 0.01 0.03 0.02 0.02 0.08 0-11 0.00 0.00 0.01 0.02 0.10 0.14
Estimated Proportion Correctly Classified : Total = 0.65 , Proficient & Above = 0.89 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
Table 3.27 Reliability of Classification and Decision Accuracy: Level V Mathematics*
Placement Score Advanced Proficient Basic Below
Basic
Far Below Basic
Category Total**
Decision Accuracy
25-32 0.26 0.04 0.00 0.00 0.00 0.31 19-24 0.03 0.15 0.04 0.00 0.00 0.22 14-18 0.00 0.04 0.11 0.03 0.01 0.20
All-forms Average
12-13 0.00 0.00 0.03 0.02 0.02 0.08 0-11 0.00 0.00 0.01 0.02 0.16 0.20
Estimated Proportion Correctly Classified : Total = 0.70 , Proficient & Above = 0.92
Decision Consistency
25-32 0.25 0.05 0.00 0.00 0.00 0.31 19-24 0.05 0.12 0.05 0.00 0.00 0.22 14-18 0.01 0.05 0.09 0.03 0.03 0.20
Alternate Form
12-13 0.00 0.01 0.03 0.02 0.03 0.07 0-11 0.00 0.00 0.02 0.02 0.16 0.20
Estimated Proportion Correctly Classified : Total = 0.64 , Proficient & Above = 0.88 *Values in table are proportions of the total sample. **Inconsistencies with category cell entries are due to rounding.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 39
Chapter 3. Analysis | Statistical Analysis Results
Table 3.28 CAPA 2007 Raw Score Means and Standard Deviations: Equating Sample vs. Total
Group Level N
ELA % Total N Mean RS SD RS N
Mathematics % Total N Mean RS SD RS
Total I II III IV V
9240 6554 6687
10604 10051
25.09 23.79 22.13 21.25 21.78
11.14 7.18 7.77 7.69 7.92
9206 6543 6681 10581 10031
22.19 23.02 23.63 21.59 19.17
11.517.38 7.55 7.72 7.98
Equating Sample
I II III IV V
1498 1324 1350 2001 2734
16% 20% 20% 19% 27%
25.4924.3122.6021.8422.40
11.29 7.01 7.72 7.43 7.60
1495 1320 1349 1999 1515
16% 20% 20% 19% 15%
22.4423.5823.9722.1720.11
11.68 7.36 7.37 7.58 7.77
Table 3.29 Evaluation of Common Tasks between New and Reference Test Forms
Subject Level N Common Tasks
N Tasks Removed
Common Task Correlation WRMSD*
ELA I II III IV V
5 5 5 5 5
0 0 0 0 0
0.98 0.97 0.99 0.99 0.98
0.10 0.05 0.04 0.04 0.08
Mathematics I II III IV V
5 5 5 5 5
0 0 0 0 0
0.98 0.99 0.99 0.99 0.98
0.08 0.07 0.06 0.10 0.06
*Weighted root mean square difference
CAPA Technical Report | Spring 2007 Administration February 2008 Page 40
Chapter 3. Analysis | Statistical Analysis Results
Table 3.30 Score Conversions: ELA Level I
Raw Score 40 39 38 37 36 35 34 33 32 31 30 29 28
Scale Score 60 60 60 60 59 56 55 53 51 50 49 48 46
CSEM* 13.8 13.5 9.0 7.3 6.3 5.7 5.3 5.0 4.8 4.6 4.5 4.4 4.3
Performance Level
Advanced
27 45 4.2 26 44 4.2 25 43 4.1 24 42 4.1 23 41 4.1 22 40 4.0 Proficient 21 39 4.0 20 38 4.1 19 37 4.1 18 36 4.1 17 35 4.1 16 15 14 13
34 33 32 31
4.2 4.3 4.3 4.5
Basic
12 11 10 9
29 28 26 26
4.6 4.8 5.0 5.3
Below Basic
8 25 5.7 7 24 6.2 6 23 6.8 5 22 7.5 4 20 8.4 Far Below Basic 3 18 9.7 2 16 11.9 1 15 16.6 0 15 16.7
*Conditional standard error of measurement
February 2008 CAPA Technical Report | Spring 2007 Administration Page 41
Chapter 3. Analysis | Statistical Analysis Results
Table 3.31 Score Conversions: Mathematics Level I
Raw Score Scale Score CSEM Performance
Level 40 60 15.4 39 56 10.6 38 37
50 47
6.9 5.5
Advanced
36 45 4.7 35 44 4.2 34 42 3.9 33 41 3.6 32 40 3.4 31 39 3.3 30 29
38 38
3.2 3.1
Proficient
28 37 3.0 27 36 3.0 26 36 2.9 25 35 2.9 24 34 2.9 23 34 2.9 22 33 3.0 21 32 3.0 Basic 20 31 3.0 19 31 3.1 18 30 3.2 17 29 3.3 16 28 3.4 15 27 3.6 14 26 3.7 13 25 3.9 12 24 4.1 Below Basic 11 23 4.4 10 23 4.7 9 22 4.9 8 22 5.2 7 21 5.5 6 20 5.9 5 20 6.3 4 19 6.9 3 18 7.8 Far Below Basic 2 16 9.3 1 15 12.9 0 15 13.1
CAPA Technical Report | Spring 2007 Administration February 2008 Page 42
Chapter 3. Analysis | Statistical Analysis Results
Table 3.32 Score Conversions: ELA Level II
Raw Score Scale Score CSEM Performance
Level 32 60 17.8 31 30
46 43
4.9 3.5
Advanced
29 41 2.9 28 40 2.6 27 39 2.3 26 38 2.2 25 37 2.0 Proficient 24 36 2.0 23 35 1.9 22 35 1.8 21 34 1.8 20 33 1.8 19 33 1.7 18 17
32 32
1.7 1.8
Basic
16 31 1.8 15 30 1.8 14 30 1.9 13 29 1.9 12 28 2.0 11 10
27 27
2.1 2.2
Below Basic
9 26 2.3 8 25 2.5 7 23 2.6 6 22 2.8 5 20 3.0 4 3
18 16
3.3 3.6
Far Below Basic
2 15 4.2 1 15 5.5 0 15 5.5
February 2008 CAPA Technical Report | Spring 2007 Administration Page 43
Chapter 3. Analysis | Statistical Analysis Results
Table 3.33 Score Conversions: Mathematics Level II
Raw Score Scale Score CSEM Performance Level
32 60 11.5 31 52 7.0 30 29
47 44
4.7 3.6
Advanced
28 42 3.1 27 41 2.7 26 40 2.5 25 39 2.3 24 38 2.2 23 38 2.1 22 37 2.0 Proficient 21 36 2.0 20 36 1.9 19 35 1.9 18 35 1.9 17 34 1.9 16 33 2.0 15 33 2.0 14 32 2.0 Basic 13 31 2.1 12 31 2.2 11 30 2.4 10 29 2.6 9 28 2.9 Below Basic 8 26 3.3 7 24 3.7 6 22 4.0 5 19 4.2 4 3
16 15
4.3 4.6
Far Below Basic
2 15 5.2 1 15 6.8 0 15 6.8
CAPA Technical Report | Spring 2007 Administration February 2008 Page 44
Chapter 3. Analysis | Statistical Analysis Results
Table 3.34 Score Conversions: ELA Level III
Raw Score Scale Score CSEM Performance
Level 32 60 11.5 31 53 7.4 30 29
47 44
5.1 4.1
Advanced
28 42 3.5 27 41 3.2 26 40 3.0 25 38 2.8 24 23
38 37
2.7 2.6
Proficient
22 36 2.6 21 35 2.6 20 34 2.6 19 33 2.6 18 32 2.6 Basic 17 31 2.7 16 30 2.7 15 29 2.8 14 28 2.9 13 12
27 26
3.0 3.2
Below Basic
11 25 3.4 10 23 3.6 9 22 3.8 8 22 4.1 7 21 4.4 6 20 4.7 5 4
19 19
5.0 5.3
Far Below Basic
3 17 5.7 2 16 6.5 1 15 8.4 0 15 8.4
February 2008 CAPA Technical Report | Spring 2007 Administration Page 45
Chapter 3. Analysis | Statistical Analysis Results
Table 3.35 Score Conversions: Mathematics Level III
Raw Score Scale Score CSEM Performance
Level 32 60 12 31 55 7.9 30 49 5.5 Advanced 29 46 4.4 28 44 3.8 27 42 3.4 26 41 3.1 25 40 2.9 24 23
39 38
2.8 2.7
Proficient
22 37 2.6 21 36 2.6 20 35 2.6 19 34 2.6 18 33 2.6 17 16
33 32
2.6 2.7
Basic
15 31 2.7 14 30 2.8 13 29 3.0 12 28 3.2 11 26 3.4 Below Basic 10 25 3.7 9 25 4.0 8 24 4.3 7 23 4.7 6 22 4.9 5 21 5.1 4 19 5.3 Far Below Basic 3 18 5.7 2 16 6.5 1 15 8.5 0 15 8.5
CAPA Technical Report | Spring 2007 Administration February 2008 Page 46
Chapter 3. Analysis | Statistical Analysis Results
Table 3.36 Score Conversions: ELA Level IV
Raw Score Scale Score CSEM Performance
Level 32 60 13.1 31 51 6.9 30 29
47 44
4.8 4.0
Advanced
28 42 3.5 27 41 3.2 26 40 3.0 25 38 2.8 24 23
37 36
2.7 2.6
Proficient
22 35 2.6 21 35 2.5 20 34 2.5 19 33 2.5 18 32 2.5 Basic 17 31 2.5 16 30 2.6 15 29 2.6 14 28 2.7 13 27 2.8 Below Basic 12 26 3.0 11 25 3.2 10 23 3.4 9 22 3.6 8 21 3.9 7 20 4.2 6 20 4.4 5 19 4.6 Far Below Basic 4 18 4.9 3 17 5.3 2 16 6.1 1 15 8.0 0 15 7.9
February 2008 CAPA Technical Report | Spring 2007 Administration Page 47
Chapter 3. Analysis | Statistical Analysis Results
Table 3.37 Score Conversions: Mathematics Level IV
Raw Score Scale Score CSEM Performance
Level 32 31 30 29
60 49 44 42
16.3 7.3 5.0 4.1
Advanced
28 40 3.6 27 39 3.3 26 37 3.2 Proficient 25 36 3.0 24 35 2.9 23 34 2.8 22 33 2.7 21 20
32 32
2.7 2.7
Basic
19 31 2.6 18 30 2.6 17 29 2.7 16 28 2.7 15 27 2.8 Below Basic 14 27 2.9 13 26 3.0 12 24 3.2 11 23 3.5 10 22 3.9 9 20 4.4 8 19 5.1 7 19 5.6 6 18 5.8 Far Below Basic 5 18 5.9 4 17 6.0 3 16 6.3 2 15 7.0 1 15 9.2 0 15 9.2
CAPA Technical Report | Spring 2007 Administration February 2008 Page 48
Chapter 3. Analysis | Statistical Analysis Results
Table 3.38 Score Conversions: ELA Level V
Raw Score Scale Score CSEM Performance
Level 32 60 9.9 31 56 6.9 30 29
50 47
4.9 4.1
Advanced
28 44 3.6 27 43 3.3 26 41 3.1 25 40 2.9 24 23
38 37
2.8 2.7
Proficient
22 36 2.6 21 35 2.6 20 34 2.5 19 33 2.5 18 17
33 32
2.5 2.5
Basic
16 31 2.6 15 30 2.7 14 29 2.8 13 27 2.9 Below Basic 12 26 3.1 11 24 3.3 10 24 3.5 9 23 3.8 8 22 4.1 7 21 4.3 6 5
21 20
4.5 4.6
Far Below Basic
4 18 4.8 3 17 5.1 2 16 5.8 1 15 7.6 0 15 7.5
February 2008 CAPA Technical Report | Spring 2007 Administration Page 49
Chapter 3. Analysis | Statistical Analysis Results
Table 3.39 Score Conversions: Mathematics Level V
Raw Score Scale Score CSEM Performance
Level 32 60 10.3 31 56 7.0 30 49 4.8 29 28
47 45
3.9 3.4
Advanced
27 43 3.1 26 42 2.9 25 41 2.8 24 40 2.7 23 39 2.6 22 21
38 37
2.6 2.6
Proficient
20 36 2.6 19 35 2.6 18 34 2.7 17 33 2.7 16 32 2.8 Basic 15 31 2.9 14 30 3.0 13 12
28 27
3.1 3.4
Below Basic
11 25 3.7 10 24 4.2 9 24 4.8 8 23 5.2 7 21 5.3 6 5
20 19
5.2 5.1
Far Below Basic
4 18 5.2 3 16 5.4 2 15 6.1 1 15 8.0 0 15 8.0
CAPA Technical Report | Spring 2007 Administration February 2008 Page 50
Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
40 S
cale
Sco
re F
requ
ency
Dis
trib
utio
ns: L
evel
I EL
A a
nd M
athe
mat
ics
Scal
e Sc
ore
EL
A
Mat
hem
atic
s
Freq
uenc
y Pe
rcen
t C
umul
ativ
e Fr
eque
ncy
Perc
ent B
elow
Fr
eque
ncy
Perc
ent
Cum
ulat
ive
Freq
uenc
y Pe
rcen
t Bel
ow
60
57–5
9 54
–56
51–5
3 48
–50
45–4
7 42
–44
39–4
1 36
–38
33–3
5 30
–32
27–2
9 24
–26
21–2
3 18
–20
15–1
7
1634
17
.68
1634
82
.32
302
3.27
19
36
79.0
5 67
4 7.
29
2610
71
.75
583
6.31
31
93
65.4
4 98
4 10
.65
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54
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8 C
AP
A T
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Rep
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Spr
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Adm
inis
tratio
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51
Chap
ter 3.
Ana
lysis
| Stat
istica
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Resu
lts
Tabl
e 3.
41 S
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Febr
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200
8
Page
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Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
42 S
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200
8 C
AP
A T
echn
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Rep
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Spr
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2007
Adm
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Chap
ter 3.
Ana
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| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
43 S
cale
Sco
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PA
Tec
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al R
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t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
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Chap
ter 3.
Ana
lysis
| Stat
istica
l Ana
lysis
Resu
lts
Tabl
e 3.
44 S
cale
Sco
re F
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Febr
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200
8 C
AP
A T
echn
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Chapter 3. Analysis | Statistical Analysis Results
Table 3.45 Raw Score Frequency Distributions: Level I Science Percent Raw
Score Frequency Percent Cumulative Frequency
Raw Score Frequency Percent Cumulative
Frequency 25 183 6.50 183 24 71 2.52 254 23 86 3.06 340 22 132 4.69 472 21 101 3.59 573 20 85 3.02 658 19 137 4.87 795 18 92 3.27 887 17 101 3.59 988 16 158 5.61 1146 15 139 4.94 1285 14 89 3.16 1374 13 166 5.90 1540 12 119 4.23 1659 11 116 4.12 1775 10 97 3.45 1872 9 91 3.23 1963 8 87 3.09 2050 7 90 3.20 2140 6 105 3.73 2245 5 122 4.33 2367
Below 93.5090.9887.9283.2379.6476.63 71.76 68.49 64.90 59.29 54.35 51.19 45.29 41.07 36.94 33.50 30.27 27.18 23.98 20.25 15.91
Percent Below
4 75 2.66 2442 13.25 3 61 2.17 2503 11.08 2 74 2.63 2577 8.45 1 66 2.34 2643 6.11 0 172 6.11 2815 0.00
* Level I Science raw scores are based on 5 tasks common across field-test forms.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 56
Chapter 3. Analysis | Statistical Analysis Results
Table 3.46 Raw Score Frequency Distributions: Level III Science Raw Score Frequency Percent Cumulative
Frequency Percent Below
Raw Score Frequency Percent Cumulative
Frequency Percent Below
20 170 4.98 170 95.02 4 25 0.73 3330 2.46 19 321 9.40 491 85.62 3 16 0.47 3346 1.99 18 345 10.11 836 75.51 2 12 0.35 3358 1.64 17 310 9.08 1146 66.43 1 17 0.50 3375 1.14 16 352 10.31 1498 56.12 0 39 1.14 3414 0.00 15 358 10.49 1856 45.64 14 316 9.26 2172 36.38 13 283 8.29 2455 28.09 12 229 6.71 2684 21.38 11 157 4.60 2841 16.78 10 129 3.78 2970 13.01 9 84 2.46 3054 10.54 8 75 2.20 3129 8.35 7 58 1.70 3187 6.65 6 50 1.46 3237 5.18 5 68 1.99 3305 3.19
* Level III Science raw scores are based on 5 tasks common across field-test forms.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 57
Chapter 3. Analysis | Statistical Analysis Results
Table 3.47 Raw Score Frequency Distributions: Level IV Science Raw Score Frequency Percent Cumulative
Frequency Percent Below
Raw Score Frequency Percent Cumulative
Frequency Percent Below
20 123 3.25 123 96.75 4 39 1.03 3657 3.23 19 167 4.42 290 92.33 3 31 0.82 3688 2.41 18 236 6.25 526 86.08 2 15 0.40 3703 2.01 17 280 7.41 806 78.67 1 26 0.69 3729 1.32 16 280 7.41 1086 71.26 0 50 1.32 3779 0.00 15 325 8.60 1411 62.66 14 355 9.39 1766 53.27 13 311 8.23 2077 45.04 12 295 7.81 2372 37.23 11 264 6.99 2636 30.25 10 245 6.48 2881 23.76 9 188 4.97 3069 18.79 8 153 4.05 3222 14.74 7 135 3.57 3357 11.17 6 127 3.36 3484 7.81 5 134 3.55 3618 4.26
* Level IV Science raw scores are based on 5 tasks common across field-test forms.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 58
Chapter 3. Analysis | Statistical Analysis Results
Table 3.48 Raw Score Frequency Distributions: Level V Science Raw Score Frequency Percent Cumulative
Frequency Percent Below
Raw Score Frequency Percent Cumulative
Frequency Percent Below
20 129 3.65 129 96.35 4 26 0.73 3401 3.90 19 186 5.26 315 91.10 3 18 0.51 3419 3.39 18 291 8.22 606 82.88 2 31 0.88 3450 2.51 17 374 10.57 980 72.31 1 18 0.51 3468 2.01 16 431 12.18 1411 60.13 0 71 2.01 3539 0.00 15 387 10.94 1798 49.19 14 333 9.41 2131 39.79 13 257 7.26 2388 32.52 12 213 6.02 2601 26.50 11 158 4.46 2759 22.04 10 121 3.42 2880 18.62 9 142 4.01 3022 14.61 8 102 2.88 3124 11.73 7 86 2.43 3210 9.30 6 57 1.61 3267 7.69 5 108 3.05 3375 4.63
* Level V Science raw scores are based on 5 tasks common across field-test forms.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 59
Chapter 4. Statewide Assessment Results | Participation
Chapter 4. Statewide Assessment Results In 2007, a total of 43,136 students in grades 2–11 participated in the CAPA. This chapter provides
detailed information on statewide test results. The first section includes information on the number of participants and their disabilities; the second section includes test results in the aggregate and disaggregated by demographic and disability subgroups.
Participation The number of students with one or more test sections is presented in Table 4.1 by test level.
Level IV had the largest sample size with 10,604 examinees, followed by Levels V and I with 10,051 and 9,240 assessed students, respectively.
Table 4.1 Distribution of Students Across Test Levels Test Frequency Percent Cumulative Cumulative
Level Frequency Percent I 9240 21.4 9240 21.4 II 6554 15.2 15794 36.6 III 6687 15.5 22481 52.1 IV 10604 24.6 33085 76.7 V 10051 23.3 43136 100.0
Table 4.2 provides the CAPA population disability frequencies for students completing a CAPA test in ELA or mathematics. Across all levels, the largest disability group (44.5%) is Mental Retardation, followed by Autism (19.8%) and Orthopedic Impairment (9.7%). The unknown category comprises those examinees for which no disability type was marked. This category included 2.1% of the examinees. Tables 4.3–4.7 provide parallel information by test level.
Table 4.2 Disability Distributions across All Levels
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 19180 44.5 19150 44.5 Hard of Hearing 375 0.9 374 0.9 Deafness 427 1.0 428 1.0 Speech or Language Impairment 1375 3.2 1370 3.2 Visual Impairment 530 1.2 528 1.2 Emotional Disturbance 379 0.9 375 0.9 Orthopedic Impairment 4200 9.7 4184 9.7 Other Health Impairment 1505 3.5 1500 3.5 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 3031 7.0 3028 7.0 Deaf-Blindness 43 0.1 43 0.1 Multiple Disabilities 2400 5.6 2394 5.6 Autism 8535 19.8 8515 19.8 Traumatic Brain Injury 263 0.6 262 0.6 Unknown 893 2.1 891 2.1 TOTAL 43136 100.0 43042 100.0
CAPA Technical Report | Spring 2007 Administration February 2008 Page 60
Chapter 4. Statewide Assessment Results | Participation
Table 4.3 Level I Disability Distributions
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 3210 34.7 3204 34.8 Hard of Hearing 75 0.8 74 0.8 Deafness 43 0.5 43 0.5 Speech or Language Impairment 61 0.7 60 0.7 Visual Impairment 242 2.6 240 2.6 Emotional Disturbance 0 0.0 0 0.0 Orthopedic Impairment 2286 24.7 2278 24.7 Other Health Impairment 182 2.0 181 2.0 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 102 1.1 102 1.1 Deaf-Blindness 23 0.2 23 0.2 Multiple Disabilities 1088 11.8 1085 11.8 Autism 1723 18.6 1716 18.6 Traumatic Brain Injury 61 0.7 60 0.7 Unknown 134 1.5 132 1.4 TOTAL 9240 100.0 9206 100.0
Table 4.4 Level II Disability Distributions
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 2484 37.9 2481 37.9 Hard of Hearing 55 0.8 55 0.8 Deafness 66 1.0 66 1.0 Speech or Language Impairment 519 7.9 518 7.9 Visual Impairment 52 0.8 52 0.8 Emotional Disturbance 38 0.6 38 0.6 Orthopedic Impairment 380 5.8 379 5.8 Other Health Impairment 305 4.7 304 4.6 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 475 7.2 475 7.3 Deaf-Blindness 0 0.0 0 0.0 Multiple Disabilities 223 3.4 222 3.4 Autism 1773 27.1 1769 27.0 Traumatic Brain Injury 33 0.5 33 0.5 Unknown 146 2.2 146 2.2 TOTAL 6554 100.0 6543 100.0
February 2008 CAPA Technical Report | Spring 2007 Administration Page 61
Chapter 4. Statewide Assessment Results | Participation
Table 4.5 Level III Disability Distributions
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 2913 43.6 2910 43.6 Hard of Hearing 58 0.9 58 0.9 Deafness 55 0.8 55 0.8 Speech or Language Impairment 349 5.2 348 5.2 Visual Impairment 54 0.8 54 0.8 Emotional Disturbance 63 0.9 63 0.9 Orthopedic Impairment 387 5.8 386 5.8 Other Health Impairment 284 4.2 284 4.3 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 613 9.2 613 9.2 Deaf-Blindness 0 0.0 0 0.0 Multiple Disabilities 255 3.8 255 3.8 Autism 1503 22.5 1502 22.5 Traumatic Brain Injury 30 0.4 30 0.4 Unknown 119 1.8 119 1.8 TOTAL 6687 100.0 6681 100.0
Table 4.6 Level IV Disability Distributions
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 5068 47.8 5061 47.8 Hard of Hearing 99 0.9 99 0.9 Deafness 135 1.3 135 1.3 Speech or Language Impairment 293 2.8 292 2.8 Visual Impairment 95 0.9 95 0.9 Emotional Disturbance 114 1.1 113 1.1 Orthopedic Impairment 636 6.0 634 6.0 Other Health Impairment 387 3.6 386 3.6 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 963 9.1 960 9.1 Deaf-Blindness 0 0.0 0 0.0 Multiple Disabilities 417 3.9 416 3.9 Autism 2052 19.4 2045 19.3 Traumatic Brain Injury 67 0.6 67 0.6 Unknown 272 2.6 272 2.6 TOTAL 10604 100.0 10581 100.0
CAPA Technical Report | Spring 2007 Administration February 2008 Page 62
Chapter 4. Statewide Assessment Results | Test Results
Table 4.7 Level V Disability Distributions
Disability ELA Mathematics
Frequency Percent Frequency Percent Mental Retardation 5505 54.8 5494 54.8 Hard of Hearing 88 0.9 88 0.9 Deafness 128 1.3 129 1.3 Speech or Language Impairment 153 1.5 152 1.5 Visual Impairment 87 0.9 87 0.9 Emotional Disturbance 154 1.5 153 1.5 Orthopedic Impairment 511 5.1 507 5.1 Other Health Impairment 347 3.5 345 3.4 Established Medical Disability 0 0.0 0 0.0 Specific Learning Disability 878 8.7 878 8.8 Deaf-Blindness 0 0.0 0 0.0 Multiple Disabilities 417 4.1 416 4.1 Autism 1484 14.8 1483 14.8 Traumatic Brain Injury 72 0.7 72 0.7 Unknown 222 2.2 222 2.2 TOTAL 10051 100.0 10031 100.0
Test Results In this section, test results are provided by level and disaggregated by demographic subgroups.
Consistent with CDE policy, information on subgroups with 11 or fewer members is not reported. Tables 4.8–4.9 summarize the performance score distributions in ELA and mathematics for all
CAPA examinees, and disaggregated by grade, demographic subgroup, and primary disability. Provided are the number of students tested and the percent of students scoring in each performance level (Far Below Basic, Below Basic, Basic, Proficient, and Advanced). In the aggregate, there were approximately 4,000 students per grade in grades 2 through 11. In general, students performed better in ELA than in mathematics. Approximately 66% of all students who took the CAPA were classified as Proficient or Advanced in ELA, and 57% in mathematics.
Tables 4.10–4.19 provide parallel information by CAPA test level. As expected, the performance distribution is substantially more varied by primary disability than by grade or demographic subgroup. For ELA, most frequently, students with Specific Learning Impairment outperformed students with other primary disabilities. Across all levels, the group having the largest percentage of students in the Proficient or Advanced category was Specific Learning Impairment. The second highest was Emotional Disturbance.
Tables 4.20–4.29 summarize the scale score distributions by test level for ELA and mathematics for the population, and disaggregated by grade, demographic subgroup, and primary disability. Statistics include the number of valid scores, the scale score mean and standard deviation, the mean scale score at selected percentile points, as well as alpha reliability and SEM. Subgroup reliabilities ranged from 0.70 ( Level IV Mathematics for Specific Learning Impairment) to 0.96 (Level I ELA Unknown Gender) with most closer to 0.90.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 63
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
8 Pe
rfor
man
ce S
core
Dis
trib
utio
ns fo
r All
Exam
inee
s*: E
nglis
h–La
ngua
ge A
rts
2007
Pe
rfor
man
ce S
core
Dis
trib
utio
ns fo
r A
ll E
xam
inee
s*: E
nglis
h–L
angu
age
Art
s 200
7 Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owA
ll L
evel
s B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
All
All
4313
6 10
10
15
28
38
Gra
de
2 43
14
5 8
19
33
36
3 44
09
4 7
17
32
41
4 43
12
8 14
1426
37
5 41
37
7 13
1326
42
6 43
53
13
14
15
29
30
7 45
05
11
12
14
27
36
8 45
06
10
11
12
28
40
9 44
7015
8
15
27
34
10
4196
13
814
24
41
11
39
3412
7
14
24
43
Gen
der
Mal
e 27
460
10
10
15
28
38
Fem
ale
1550
5 10
10
15
28
37
U
nkno
wn
171
9 9
15
20
47
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
383
8 8
14
25
46
Ethn
icity
A
sian
29
87
13
12
16
27
32
Paci
fic Is
land
er
228
11
13
11
26
39
Filip
ino
1226
13
12
16
28
32
H
ispa
nic
or L
atin
o 20
744
10
11
15
28
37
Afr
ican
Am
eric
an
4842
9
18
14
28
41
Whi
te(n
ot H
ispa
nic
orig
in)
1211
9 9
9 14
27
40
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
64
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
for
All
Exa
min
ees*
: Eng
lish–
Lan
guag
e A
rts 2
007
Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
All
Lev
els
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d La
ngua
ge
Engl
ish
Onl
y 26
727
10
10
15
28
38
Flue
ncy
Initi
ally
–Flu
ent E
nglis
h Pr
ofic
ient
12
14
14
14
16
27
29
Engl
ish
Lear
ner
1374
3 9
10
15
28
38
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
73
4 11
13
14
27
35
U
nkno
wn
718
8 7
12
29
43
Econ
omic
Y
es
2524
8 9
10
15
28
38
Dis
adva
ntag
e N
o 16
601
11
11
15
27
36
Unk
now
n 12
87
8 6
13
28
46
Prim
ary
Men
tal R
etar
datio
n 19
180
9 12
17
28
34
D
isab
ility
H
ard
of H
earin
g 37
5 15
10
10
31
34
D
eafn
ess
427
7 10
16
35
31
Sp
eech
/Lan
guag
e Im
pairm
ent
1375
1
4 7
28
59
Vis
ual I
mpa
irmen
t 53
0 14
9
15
32
30
Emot
iona
l Dis
turb
ance
37
9 3
3 7
22
65
Orth
oped
ic Im
pairm
ent
4200
14
11
14
31
31
O
ther
Hea
lth Im
pairm
ent
1505
6
7 14
26
46
Sp
ecifi
c Le
arni
ng Im
pairm
ent
3031
1
2 5
24
68
Dea
f Blin
dnes
s 43
26
9
28
26
12
Mul
tiple
Gro
up
2400
16
12
15
28
28
A
utis
m
8535
12
11
15
27
36
Tr
aum
atic
Bra
in In
jury
26
3 7
11
12
28
42
Unk
now
n 89
3 8
8 13
27
43
*R
esul
ts fo
r gro
ups w
ith fe
wer
than
11
mem
bers
are
not
repo
rted
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
65
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
9 Pe
rfor
man
ce S
core
Dis
trib
utio
ns fo
r All
Exam
inee
s*: M
athe
mat
ics
2007
Pe
rfor
man
ce S
core
Dis
trib
utio
ns fo
r A
ll E
xam
inee
s*: M
athe
mat
ics 2
007
Mat
hem
atic
s Pe
rcen
t A
ll L
evel
s Su
bgro
up
N
Far
Bel
ow
Bel
ow
Gro
up
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
4304
2 12
12
19
28
29
Gra
de
2 43
03
5 8
20
35
32
3 43
99
4 8
16
32
39
4 43
06
6 12
1731
34
5 41
33
5 11
1529
40
6 43
45
18
16
24
25
17
7 44
92
15
15
22
27
22
8 44
94
13
15
21
27
24
9 44
63
20
12
20
24
25
10
4183
18
1019
2429
11
39
2417
10
1923
31
Gen
der
Mal
e 27
403
12
11
19
27
31
Fem
ale
1546
8 13
13
20
28
26
U
nkno
wn
171
9 10
14
28
39
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
381
8 12
15
27
38
Et
hnic
ity
Asi
an
2981
15
14
20
28
24
Pa
cific
Isla
nder
22
8 12
11
17
25
35
Fi
lipin
o 12
22
14
13
23
27
23
His
pani
c or
Lat
ino
2070
3 12
12
19
28
30
A
fric
an A
mer
ican
48
27
11
10
18
29
31
Whi
te(n
ot H
ispa
nic
orig
in)
1209
4 12
12
19
28
29
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
66
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
for
All
Exa
min
ees*
: Mat
hem
atic
s 200
7 M
athe
mat
ics
Perc
ent
All
Lev
els
Subg
roup
N
Fa
r B
elow
B
elow
G
roup
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
Lang
uage
En
glis
h O
nly
2666
4 12
12
19
28
29
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
1209
16
15
26
24
19
En
glis
h Le
arne
r 13
720
11
11
19
28
31
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
73
1 14
13
20
24
29
U
nkno
wn
718
10
9 18
28
35
Econ
omic
Y
es
2520
1 11
11
19
28
31
D
isad
vant
age
No
1655
7 14
13
20
28
26
U
nkno
wn
1284
9
9 18
29
35
Prim
ary
Men
tal R
etar
datio
n 19
150
13
12
22
28
25
Dis
abili
ty
Har
d of
Hea
ring
374
16
12
15
27
30
Dea
fnes
s 42
8 6
6 14
30
43
Sp
eech
/Lan
guag
e Im
pairm
ent
1370
1
3 9
27
60
Vis
ual I
mpa
irmen
t 52
8 18
19
19
27
18
Em
otio
nal D
istu
rban
ce
375
3 2
11
23
61
Orth
oped
ic Im
pairm
ent
4184
18
21
20
24
17
O
ther
Hea
lth Im
pairm
ent
1500
8
9 17
27
39
Sp
ecifi
c Le
arni
ng Im
pairm
ent
3028
1
1 7
24
66
Dea
f Blin
dnes
s 43
33
16
21
23
7
M
ultip
le g
roup
23
94
19
20
20
24
16
Aut
ism
85
15
12
11
20
31
26
Trau
mat
ic B
rain
Inju
ry
262
11
9 16
28
35
U
nkno
wn
891
12
8 17
29
34
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
67
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
10 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el I
Engl
ish–
Lang
uage
Art
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el I
Eng
lish–
Lan
guag
e A
rts Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
1
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
9240
11
6 6
2849
Gra
de
2 12
30
8 5
7 25
56
3
939
8 6
829
49
4 91
311
6
530
48
5 84
911
6
728
48
6 94
312
5
729
46
7 90
813
6
628
47
8 90
910
6
630
48
9 96
413
7
726
48
10
837
12
7 6
2550
11
74
812
6
728
47
Gen
der
Mal
e 56
21
10
6 6
27
51
Fem
ale
3592
12
6
7 29
46
U
nkno
wn
27
30
0 0
11
59
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
59
7 5
3 29
56
Et
hnic
ity
Asi
an
737
13
5 7
27
48
Paci
fic Is
land
er
45
7 4
7 22
60
Fi
lipin
o 29
7 8
7 8
31
46
His
pani
c or
Lat
ino
4494
12
6
6 26
50
A
fric
an A
mer
ican
10
11
10
6 6
28
50
Whi
te(n
ot H
ispa
nic
orig
in)
2502
10
5
8 30
47
U
nkno
wn
95
15
2 5
27
51
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
68
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
I E
nglis
h–L
angu
age
Art
s Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el 1
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
Lang
uage
En
glis
h O
nly
5672
11
6
7 29
47
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
357
12
8 5
35
40
Engl
ish
Lear
ner
2970
11
5
6 25
53
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
117
13
7 5
22
53
Unk
now
n 12
4 14
2
3 33
48
Econ
omic
Y
es
5188
10
6
6 27
52
D
isad
vant
age
No
3834
12
7
7 29
45
U
nkno
wn
218
19
5 3
28
45
Prim
ary
Men
tal R
etar
datio
n 32
10
8 4
5 24
60
D
isab
ility
H
ard
of H
earin
g 75
3
4 1
40
52
Dea
fnes
s 43
14
7
12
21
47
Spee
ch/L
angu
age
Impa
irmen
t 61
0
2 7
13
79
Vis
ual I
mpa
irmen
t 24
2 15
7
8 35
34
O
rthop
edic
Impa
irmen
t 22
86
17
9 8
32
33
Oth
er H
ealth
Impa
irmen
t 18
2 14
5
9 24
47
Sp
ecifi
c Le
arni
ng Im
pairm
ent
102
6 1
3 21
70
D
eaf B
lindn
ess
23
22
4 26
30
17
M
ultip
le g
roup
10
88
18
9 9
32
32
Aut
ism
17
23
3 3
5 28
61
Tr
aum
atic
Bra
in In
jury
61
15
11
8
23
43
Unk
now
n 13
4 16
4
7 25
47
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
69
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
11 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el I
Mat
hem
atic
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el I
Mat
hem
atic
s Pe
rcen
tM
athe
mat
ics
Subg
roup
N
Far
Bel
ow
Bel
owL
evel
1
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
9206
12
21
19
32
16
Gra
de
2 12
22
10
18
21
34
17
3 93
710
23
2133
12
4 91
212
23
1932
14
5 84
613
20
2131
14
6 93
915
20
2132
13
7 90
513
22
1631
18
8 90
611
20
1933
17
9 96
114
24
1628
19
10
833
13
1919
3416
11
74
515
21
1826
20
Gen
der
Mal
e 56
04
12
20
19
33
16
Fem
ale
3575
14
22
19
29
16
U
nkno
wn
27
19
15
19
30
19
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
58
5 24
22
28
21
Et
hnic
ity
Asi
an
736
14
22
18
31
15
Paci
fic Is
land
er
45
7 18
16
33
27
Fi
lipin
o 29
5 13
20
24
29
14
H
ispa
nic
or L
atin
o 44
78
13
21
19
31
17
Afr
ican
Am
eric
an
1009
13
20
17
32
18
W
hite
(not
His
pani
c or
igin
) 24
89
11
21
20
33
15
Unk
now
n 96
9
27
19
36
8
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
70
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
I M
athe
mat
ics
Perc
ent
Mat
hem
atic
s Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
1
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d La
ngua
ge
Engl
ish
Onl
y 56
46
13
22
19
32
15
Flue
ncy
Initi
ally
–Flu
ent E
nglis
h Pr
ofic
ient
35
6 13
23
24
27
12
En
glis
h Le
arne
r 29
64
12
20
19
31
18
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
11
6 13
17
17
30
22
U
nkno
wn
124
14
20
20
30
16
Econ
omic
Y
es
5172
11
20
19
33
18
D
isad
vant
age
No
3817
14
23
19
30
14
U
nkno
wn
217
20
21
18
28
13
Prim
ary
Men
tal R
etar
datio
n 32
04
8 16
18
35
23
D
isab
ility
H
ard
of H
earin
g 74
7
19
18
35
22
Dea
fnes
s 43
21
12
14
33
21
Sp
eech
/Lan
guag
e Im
pairm
ent
60
3 7
15
38
37
Vis
ual I
mpa
irmen
t 24
0 16
27
21
26
10
O
rthop
edic
Impa
irmen
t 22
78
21
29
19
23
8
Oth
er H
ealth
Impa
irmen
t 18
1 15
24
19
22
20
Sp
ecifi
c Le
arni
ng Im
pairm
ent
102
4 11
13
40
32
D
eaf B
lindn
ess
23
26
22
30
22
0
Mul
tiple
gro
up
1085
20
30
20
23
8
A
utis
m
1716
4
14
20
44
18
Trau
mat
ic B
rain
Inju
ry
60
22
25
13
27
13
Unk
now
n 13
2 19
17
19
31
14
*Res
ults
for g
roup
s with
less
than
11
mem
bers
are
not
repo
rted
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
71
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
12 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el II
Eng
lish–
Lang
uage
Art
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el II
Eng
lish–
Lan
guag
e A
rts Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
1I
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
6554
3
821
34
34
Gra
de
2 30
84
3 8
24
36
28
3 34
70
3 7
19
32
39
Gen
der
Mal
e 44
14
3 8
21
35
34
Fem
ale
2114
3
8 23
33
33
U
nkno
wn
26
0 12
23
15
50
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
57
2 2
19
33
44
Ethn
icity
A
sian
47
1 4
9 23
36
29
Pa
cific
Isla
nder
33
0
24
9 39
27
Fi
lipin
o 22
2 4
13
22
37
24
His
pani
c or
Lat
ino
3228
3
8 22
37
24
A
fric
an A
mer
ican
65
4 2
6 17
37
38
W
hite
(not
His
pani
c or
igin
) 17
88
3 8
22
32
35
Unk
now
n 10
1 2
8 21
34
36
Lang
uage
En
glis
h O
nly
4104
3
8 21
35
34
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
132
5 20
23
31
21
En
glis
h Le
arne
r 21
57
2 7
22
34
34
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
55
5
15
33
18
29
Unk
now
n 10
6 3
8 22
27
41
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
72
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
II E
nglis
h–L
angu
age
Art
s Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el 1
I B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
Econ
omic
Y
es
3840
3
7 20
34
36
D
isad
vant
age
No
2483
4
9 23
34
30
U
nkno
wn
231
2 4
21
34
39
Prim
ary
Men
tal R
etar
datio
n 24
84
3 10
27
36
25
D
isab
ility
H
ard
of H
earin
g 55
7
5 11
42
35
D
eafn
ess
66
2 12
15
48
23
Sp
eech
/Lan
guag
e Im
pairm
ent
519
0 3
8 35
55
V
isua
l Im
pairm
ent
52
10
12
25
35
19
Emot
iona
l Dis
turb
ance
38
0
0 5
21
74
Orth
oped
ic Im
pairm
ent
380
3 8
26
34
29
Oth
er H
ealth
Impa
irmen
t 30
5 3
3 18
32
43
Sp
ecifi
c Le
arni
ng Im
pairm
ent
475
0 1
5 27
66
M
ultip
le g
roup
22
3 5
12
26
33
24
Aut
ism
17
73
4 10
22
33
31
Tr
aum
atic
Bra
in In
jury
33
6
9 9
33
42
Unk
now
n 14
6 4
5 21
34
36
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
73
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
13 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el II
Mat
hem
atic
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el II
Mat
hem
atic
s Pe
rcen
tM
athe
mat
ics
Subg
roup
N
Far
Bel
ow
Bel
owL
evel
II
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
6543
3
417
34
42
Gra
de
2 30
81
3 5
19
35
37
3 34
62
3 4
15
32
47
Gen
der
Mal
e 44
07
3 4
16
33
44
Fem
ale
2111
3
4 19
36
38
U
nkno
wn
25
4 8
16
24
48
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
57
2 4
7 28
60
Et
hnic
ity
Asi
an
468
3 5
20
34
38
Paci
fic Is
land
er
33
3 9
24
21
42
Filip
ino
222
2 6
22
40
29
His
pani
c or
Lat
ino
3225
3
4 17
34
43
A
fric
an A
mer
ican
65
3 2
3 16
32
46
W
hite
(not
His
pani
c or
igin
) 17
85
3 4
17
33
43
Unk
now
n 10
0 3
5 21
33
38
Lang
uage
En
glis
h O
nly
4095
3
4 17
34
42
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
132
4 5
27
37
27
Engl
ish
Lear
ner
2155
2
3 17
33
44
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
55
2 7
24
42
25
Unk
now
n 10
6 5
3 16
31
45
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
74
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
II M
athe
mat
ics
Perc
ent
Mat
hem
atic
s Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
II
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
38
37
2 4
16
33
45
Dis
adva
ntag
e N
o 24
75
4 5
18
36
37
Unk
now
n 23
1 2
3 16
33
47
Prim
ary
Men
tal R
etar
datio
n 24
81
3 4
23
37
33
Dis
abili
ty
Har
d of
Hea
ring
55
5 7
7 33
47
D
eafn
ess
66
2 3
9 38
48
Sp
eech
/Lan
guag
e Im
pairm
ent
518
0 1
7 24
68
V
isua
l Im
pairm
ent
52
12
6 15
35
33
Em
otio
nal D
istu
rban
ce
38
0 0
5 13
82
O
rthop
edic
Impa
irmen
t 37
9 3
4 19
31
42
O
ther
Hea
lth Im
pairm
ent
304
3 3
12
31
51
Spec
ific
Lear
ning
Impa
irmen
t 47
5 0
1 2
16
81
Mul
tiple
gro
up
222
5 5
21
35
35
Aut
ism
17
69
4 5
17
38
36
Trau
mat
ic B
rain
Inju
ry
33
3 3
15
36
42
Unk
now
n 14
6 5
3 17
29
45
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
75
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
14 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el II
I Eng
lish–
Lang
uage
Art
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el II
I Eng
lish–
Lan
guag
e A
rts Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
1II
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
All
All
6687
7
1515
2537
Gra
de
4 33
99
8 16
16
25
34
5
3288
6
1414
2540
M
ale
4387
7
15
15
26
37
Gen
der
Fem
ale
2267
6
17
15
25
37
Unk
now
n
33
3 12
18
18
48
Am
eric
an In
dian
or A
lask
a N
ativ
e 65
5
17
14
20
45
Rac
e A
sian
46
6 9
17
17
28
29
Ethn
icity
Pa
cific
Isla
nder
37
8
19
14
19
41
Filip
ino
185
13
19
12
25
30
His
pani
c or
Lat
ino
3422
7
17
15
25
36
Afr
ican
Am
eric
an
716
6 10
15
24
44
W
hite
(not
His
pani
c or
igin
)
1711
7
14
15
25
39
Unk
now
n
85
5 8
927
51
Lang
uage
En
glis
h O
nly
4038
7
15
15
25
38
Flue
ncy
Initi
ally
–Flu
ent E
nglis
h Pr
ofic
ient
13
4 10
25
25
19
21
En
glis
h Le
arne
r 23
47
7 16
14
25
38
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
95
6 17
15
32
31
U
nkno
wn
73
0 5
15
34
45
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
76
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
III E
nglis
h–L
angu
age
Art
s Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el 1
II
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
41
65
6 15
15
25
38
D
isad
vant
age
No
2370
9
16
16
24
35
Unk
now
n 15
2 3
7 14
29
46
Prim
ary
Men
tal R
etar
datio
n 29
13
7 20
18
25
29
D
isab
ility
H
ard
of H
earin
g 58
12
17
19
28
24
D
eafn
ess
55
2 20
16
42
20
Sp
eech
/Lan
guag
e Im
pairm
ent
349
2 5
6 23
65
V
isua
l Im
pairm
ent
54
13
15
13
31
28
Emot
iona
l Dis
turb
ance
63
0
5 11
25
59
O
rthop
edic
Impa
irmen
t 38
7 7
16
17
26
34
Oth
er H
ealth
Impa
irmen
t 28
4 4
12
11
23
50
Spec
ific
Lear
ning
Impa
irmen
t 61
3 0
1 4
17
78
Mul
tiple
gro
up
255
10
13
24
24
30
Aut
ism
15
03
13
16
15
29
29
Trau
mat
ic B
rain
Inju
ry
30
0 13
20
20
47
U
nkno
wn
119
1 11
11
29
48
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
77
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
15 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el II
I Mat
hem
atic
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el II
I Mat
hem
atic
s Pe
rcen
tM
athe
mat
ics
Subg
roup
N
Far
Bel
ow
Bel
owL
evel
III
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll
All
6681
4
915
30
43
Gra
de
4 33
94
5 9
16
31
39
5 32
87
3 8
14
28
46
Gen
der
Mal
e 43
83
4 9
15
28
44
Fem
ale
2265
4
9 15
32
40
U
nkno
wn
33
0 6
339
52
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
65
0 11
11
31
48
Et
hnic
ity
Asi
an
465
6 11
15
31
37
Pa
cific
Isla
nder
37
3
11
16
27
43
Filip
ino
185
6 12
18
27
37
H
ispa
nic
or L
atin
o 34
20
4 9
15
29
43
Afr
ican
Am
eric
an
714
4 7
12
29
48
Whi
te(n
ot H
ispa
nic
orig
in)
1710
4
9 16
30
42
U
nkno
wn
85
1 9
841
40
Lang
uage
En
glis
h O
nly
4035
4
9 15
30
42
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
133
3 13
32
24
28
En
glis
h Le
arne
r 23
45
4 8
14
29
44
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
95
5
11
18
21
45
Unk
now
n 73
0
3 8
3356
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
78
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
III M
athe
mat
ics
Perc
ent
Mat
hem
atic
s Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
III
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
41
63
4 8
14
29
45
Dis
adva
ntag
e N
o 23
66
5 10
16
31
38
U
nkno
wn
152
1 7
11
31
50
Prim
ary
Men
tal R
etar
datio
n 29
10
4 10
19
32
35
D
isab
ility
H
ard
of H
earin
g 58
3
10
12
34
40
Dea
fnes
s 55
2
0 7
31
60
Spee
ch/L
angu
age
Impa
irmen
t 34
8 1
1 5
25
68
Vis
ual I
mpa
irmen
t 54
11
11
9
30
39
Emot
iona
l Dis
turb
ance
63
0
0 6
32
62
Orth
oped
ic Im
pairm
ent
386
6 11
17
27
39
O
ther
Hea
lth Im
pairm
ent
284
4 9
9 27
51
Sp
ecifi
c Le
arni
ng Im
pairm
ent
613
0 0
3 20
77
M
ultip
le G
roup
25
5 5
13
20
27
34
Aut
ism
15
02
7 11
16
30
37
Tr
aum
atic
Bra
in In
jury
30
0
0 10
43
47
U
nkno
wn
119
1 7
8 42
43
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
79
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
16 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el IV
Eng
lish–
Lang
uage
Art
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el IV
Eng
lish–
Lan
guag
e A
rts Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
1V
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
All
All
1060
4 11
14
16
27
32
Gra
de
6 34
10
13
16
17
29
25
7 35
97
11
14
17
26
33
8 35
97
10
12
14
27
37
Gen
der
Mal
e 67
93
11
14
16
27
32
Fem
ale
3769
11
14
16
27
32
U
nkno
wn
42
7 10
21
21
40
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
106
11
9 15
24
41
Et
hnic
ity
Asi
an
688
16
18
18
24
24
Paci
fic Is
land
er
53
11
19
17
26
26
Filip
ino
276
20
14
20
20
26
His
pani
c or
Lat
ino
5027
11
14
16
28
31
A
fric
an A
mer
ican
12
15
9 11
15
29
37
W
hite
(not
His
pani
c or
igin
) 30
70
11
14
15
27
34
Unk
now
n 16
9 12
9
17
30
32
Lang
uage
En
glis
h O
nly
6529
11
13
15
27
33
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
279
19
19
18
20
24
Engl
ish
Lear
ner
3368
11
15
17
29
29
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
226
9 17
14
27
32
U
nkno
wn
202
4 9
12
29
45
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
80
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
IV E
nglis
h–L
angu
age
Art
s Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el 1
V
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
63
40
10
14
16
28
31
Dis
adva
ntag
e N
o 39
19
13
14
16
25
31
Unk
now
n 34
5 4
8 14
28
46
Prim
ary
Men
tal R
etar
datio
n 50
68
11
16
18
29
26
Dis
abili
ty
Har
d of
Hea
ring
99
23
16
10
23
27
Dea
fnes
s 13
5 12
12
16
36
24
Sp
eech
/Lan
guag
e Im
pairm
ent
293
3 9
9 27
53
V
isua
l Im
pairm
ent
95
15
13
19
26
27
Emot
iona
l Dis
turb
ance
11
4 3
3 11
25
60
O
rthop
edic
Impa
irmen
t 63
6 10
13
17
31
28
O
ther
Hea
lth Im
pairm
ent
387
4 9
15
28
44
Spec
ific
Lear
ning
Impa
irmen
t 96
3 1
2 6
29
62
Mul
tiple
gro
up
417
15
20
17
24
24
Aut
ism
20
52
19
17
15
22
27
Trau
mat
ic B
rain
Inju
ry
67
1 12
15
28
43
U
nkno
wn
272
7 9
11
30
43
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
81
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
17 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el IV
Mat
hem
atic
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el IV
Mat
hem
atic
s Pe
rcen
tM
athe
mat
ics
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el IV
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
All
All
1058
1 16
14
23
25
23
Gra
de
6 34
06
19
15
25
24
18
7 35
87
15
13
23
26
23
8 35
88
13
13
22
26
26
Gen
der
Mal
e 67
77
16
13
23
25
24
Fem
ale
3761
16
15
24
25
21
U
nkno
wn
43
12
16
19
23
30
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
106
14
12
22
22
30
Ethn
icity
A
sian
68
8 21
15
27
22
15
Pa
cific
Isla
nder
53
17
11
17
30
25
Fi
lipin
o 27
6 22
16
25
22
16
H
ispa
nic
or L
atin
o 50
17
16
14
23
25
23
Afr
ican
Am
eric
an
1210
12
12
22
29
25
W
hite
(not
His
pani
c or
igin
) 30
63
15
14
23
25
22
Unk
now
n 16
8 14
10
27
23
26
Lang
uage
En
glis
h O
nly
6514
16
14
23
25
22
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
279
25
17
26
17
15
Engl
ish
Lear
ner
3360
15
14
23
25
23
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
226
14
18
23
23
23
Unk
now
n 20
2 6
11
21
29
32
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
82
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
IV M
athe
mat
ics
Perc
ent
Mat
hem
atic
s Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
IV
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
63
27
15
13
23
25
24
Dis
adva
ntag
e N
o 39
11
17
15
24
24
20
Unk
now
n 34
3 5
9 25
30
31
Prim
ary
Men
tal R
etar
datio
n 50
61
18
16
26
24
17
Dis
abili
ty
Har
d of
Hea
ring
99
24
16
17
18
24
Dea
fnes
s 13
5 4
10
19
27
40
Spee
ch/L
angu
age
Impa
irmen
t 29
2 2
9 14
35
40
V
isua
l Im
pairm
ent
95
26
16
23
19
16
Emot
iona
l Dis
turb
ance
11
3 2
4 20
27
47
O
rthop
edic
Impa
irmen
t 63
4 19
15
22
23
20
O
ther
Hea
lth Im
pairm
ent
386
8 9
22
32
30
Spec
ific
Lear
ning
Impa
irmen
t 96
0 1
2 11
34
52
M
ultip
le g
roup
41
6 23
19
22
22
13
A
utis
m
2045
20
15
25
22
18
Tr
aum
atic
Bra
in In
jury
67
7
7 21
27
37
U
nkno
wn
272
10
9 23
27
31
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
83
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
18 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el V
Eng
lish–
Lang
uage
Art
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el V
Eng
lish–
Lan
guag
e A
rts Pe
rcen
tE
LA
Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
V
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d A
ll A
ll 10
051
14
8 17
25
37
Gra
de
9 35
06
15
8 18
28
31
10
33
5913
8
17
24
38
11
3186
12
715
24
42
Gen
der
Mal
e 62
45
14
8 16
25
37
Fe
mal
e 37
63
13
8 17
26
37
U
nkno
wn
43
7 9
12
30
42
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
96
10
4 16
21
49
Et
hnic
ity
Asi
an
625
20
9 19
24
28
Pa
cific
Isla
nder
60
20
5
10
25
40
Filip
ino
246
19
8 17
27
30
H
ispa
nic
or L
atin
o 45
73
13
9 18
26
34
A
fric
an A
mer
ican
12
46
13
7 15
26
40
W
hite
(not
His
pani
c or
igin
) 30
48
13
7 14
24
42
U
nkno
wn
157
22
12
10
25
31
Lang
uage
En
glis
h O
nly
6384
14
8
16
24
39
Flue
ncy
Initi
ally
–Flu
ent E
nglis
h Pr
ofic
ient
31
2 15
11
20
25
29
En
glis
h Le
arne
r 29
01
13
8 18
27
34
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
241
15
10
14
29
32
Unk
now
n 21
3 15
7
12
26
40
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
84
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
V E
nglis
h–L
angu
age
Art
s Perc
ent
EL
A
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el V
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
Econ
omic
Y
es
5715
13
8
17
26
36
Dis
adva
ntag
e N
o 39
95
14
8 16
25
37
U
nkno
wn
341
10
5 12
23
50
Prim
ary
Men
tal R
etar
datio
n 55
05
14
9 18
27
33
D
isab
ility
H
ard
of H
earin
g 88
22
8
13
26
32
Dea
fnes
s 12
8 5
5 18
28
44
Sp
eech
/Lan
guag
e Im
pairm
ent
153
3 1
7 25
64
V
isua
l Im
pairm
ent
87
15
7 24
25
29
Em
otio
nal D
istu
rban
ce
154
4 3
4 21
69
O
rthop
edic
Impa
irmen
t 51
1 16
11
23
23
27
O
ther
Hea
lth Im
pairm
ent
347
9 6
13
24
48
Spec
ific
Lear
ning
Impa
irmen
t 87
8 1
1 6
23
69
Mul
tiple
gro
up
417
21
11
19
24
25
Aut
ism
14
84
22
9 16
22
30
Tr
aum
atic
Bra
in In
jury
72
8
10
11
33
38
Unk
now
n 22
2 13
8
16
20
43
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
85
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
19 P
erfo
rman
ce S
core
Dis
trib
utio
ns*:
Lev
el V
Mat
hem
atic
s Pe
rfor
man
ce S
core
Dis
trib
utio
ns*:
Lev
el V
Mat
hem
atic
s Pe
rcen
tM
athe
mat
ics
Subg
roup
N
Fa
r B
elow
B
elow
Lev
el V
B
asic
B
asic
B
asic
Pr
ofic
ient
A
dvan
ced
All
All
1003
1 20
8
20
22
31
Gra
de
9 35
02
22
8 21
22
27
10
33
5019
7
19
21
33
11
3179
18
719
22
34
Gen
der
Mal
e 62
32
20
7 19
20
34
Fe
mal
e 37
56
20
9 21
24
26
U
nkno
wn
43
9 5
14
26
47
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
95
13
9 9
29
39
Ethn
icity
A
sian
62
4 26
10
18
22
24
Pa
cific
Isla
nder
60
23
7
15
15
40
Filip
ino
244
26
8 25
17
25
H
ispa
nic
or L
atin
o 45
63
19
8 20
22
31
A
fric
an A
mer
ican
12
41
19
7 21
23
30
W
hite
(not
His
pani
c or
igin
) 30
47
18
8 19
22
33
U
nkno
wn
157
30
7 17
20
26
Lang
uage
En
glis
h O
nly
6374
20
8
20
22
31
Flue
ncy
Initi
ally
–Flu
ent E
nglis
h Pr
ofic
ient
30
9 22
9
24
20
26
Engl
ish
Lear
ner
2896
19
7
19
23
32
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
23
9 19
10
18
19
33
U
nkno
wn
213
19
7 17
23
35
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
86
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Perf
orm
ance
Sco
re D
istr
ibut
ions
*: L
evel
V M
athe
mat
ics
Perc
ent
Mat
hem
atic
s Su
bgro
up
N
Far
Bel
ow
Bel
owL
evel
V
Bas
ic
Bas
ic
Bas
ic
Prof
icie
nt
Adv
ance
d Ec
onom
ic
Yes
57
02
19
8 20
22
31
D
isad
vant
age
No
3988
21
8
20
21
30
Unk
now
n 34
1 13
5
16
26
40
Prim
ary
Men
tal R
etar
datio
n 54
94
20
9 23
23
25
D
isab
ility
H
ard
of H
earin
g 88
28
7
17
22
26
Dea
fnes
s 12
9 6
5 16
29
45
Sp
eech
/Lan
guag
e Im
pairm
ent
152
4 1
11
24
61
Vis
ual I
mpa
irmen
t 87
20
14
15
32
20
Em
otio
nal D
istu
rban
ce
153
4 3
7 18
67
O
rthop
edic
Impa
irmen
t 50
7 26
10
19
24
21
O
ther
Hea
lth Im
pairm
ent
345
13
6 21
20
41
Sp
ecifi
c Le
arni
ng Im
pairm
ent
878
2 1
7 19
71
M
ultip
le g
roup
41
6 29
10
20
23
19
A
utis
m
1483
28
7
20
17
26
Trau
mat
ic B
rain
Inju
ry
72
15
3 17
21
44
U
nkno
wn
222
21
5 15
21
38
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
87
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
20 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
I En
glis
h–La
ngua
ge A
rts
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el I
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el I
50
75
95
991
5 25
A
ll
All
9240
43
.94
12.9
15
18
35
45
55
60
60
0.
91
3.87
Gra
de
2 12
30
45.6
9 12
.14
15
22
37
48
56
60
60
0.90
3.
84
3 93
9 44
.14
12.1
5 15
22
36
45
55
60
60
0.
89
4.03
4
913
43.8
0 12
.30
15
20
36
45
53
60
60
0.90
3.
89
5 84
9 43
.54
12.9
0 15
18
35
45
55
60
60
0.
91
3.87
6
943
42.9
1 12
.73
15
18
34
44
53
60
60
0.91
3.
82
7 90
8 43
.49
13.3
4 15
18
35
45
56
60
60
0.
92
3.77
8
909
44.2
7 12
.77
15
20
36
45
56
60
60
0.91
3.
83
9 96
4 43
.44
13.6
8 15
16
33
45
56
60
60
0.
92
3.87
10
83
7 44
.07
13.5
4 15
18
35
46
56
60
60
0.
92
3.83
11
74
8 43
.32
13.6
1 15
15
34
44
56
60
60
0.
93
3.60
Gen
der
Mal
e 56
21
44.3
3 12
.81
15
20
36
46
55
60
60
0.91
3.
84
Fe
mal
e
3592
43
.32
13.0
1 15
18
35
44
55
60
60
0.
91
3.90
U
nkno
wn
27
43.0
7 16
.23
15
16
24
48
60
60
60
0.96
3.
25
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
59
46.4
4 12
.60
15
18
40
49
60
60
60
0.91
3.
78
Ethn
icity
A
sian
73
7 43
.46
13.0
7 15
18
35
45
55
60
60
0.
91
3.92
Paci
fic Is
land
er
45
46.1
1 12
.42
15
24
38
49
56
60
60
0.91
3.
73
Filip
ino
297
43.6
8 11
.88
15
22
35
44
53
60
60
0.88
4.
12
His
pani
c or
Lat
ino
4494
43
.94
13.2
6 15
18
35
45
56
60
60
0.
92
3.75
Afr
ican
Am
eric
an
1011
44
.20
12.8
7 15
18
36
45
55
60
60
0.
91
3.86
W
hite
(not
His
pani
c or
igin
) 25
02
43.9
1 12
.35
15
22
36
45
55
60
60
0.90
3.
91
Unk
now
n 95
43
.17
12.8
8 15
16
36
46
53
60
60
0.
91
3.86
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
88
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el I
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el I
50
75
95
991
5 25
Lang
uage
En
glis
h O
nly
5672
43
.60
12.6
6 15
20
35
45
55
60
60
0.
90
4.00
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
357
42.1
3 12
.20
15
20
35
43
51
60
60
0.89
4.
05
En
glis
h Le
arne
r 29
70
44.7
7 13
.32
15
18
36
46
59
60
60
0.92
3.
77
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
11
7 44
.62
14.0
3 15
18
35
46
59
60
60
0.
92
3.97
U
nkno
wn
124
43.9
4 13
.55
15
15
37
45
56
60
60
0.91
4.
07
Econ
omic
Y
es
5188
44
.90
12.7
8 15
20
37
46
56
60
60
0.
91
3.83
D
isad
vant
age
No
3834
42
.76
12.8
4 15
18
34
44
53
60
60
0.
91
3.85
U
nkno
wn
218
41.6
5 14
.96
15
15
33
44
53
60
60
0.93
3.
96
Prim
ary
Men
tal R
etar
datio
n 32
10
47.1
1 12
.44
15
23
40
50
60
60
60
0.91
3.
73
Dis
abili
ty
Har
d of
Hea
ring
75
46.9
3 11
.18
15
28
38
48
60
60
60
0.89
3.
71
Dea
fnes
s 43
42
.65
14.3
2 15
15
33
45
55
60
60
0.
93
3.79
Spee
ch/L
angu
age
Impa
irmen
t 61
52
.25
9.24
29
33
49
55
60
60
60
0.
88
3.20
Vis
ual I
mpa
irmen
t 24
2 40
.10
12.6
15
16
32
40
.5
49
60
60
0.90
3.
98
O
rthop
edic
Impa
irmen
t 22
86
39.3
4 12
.8
15
15
29
40
49
60
60
0.91
3.
84
O
ther
Hea
lth Im
pairm
ent
182
43.0
0 13
.86
15
15
32
45
55
60
60
0.92
3.
92
Spec
ific
Lear
ning
Impa
irmen
t 10
2 50
.05
11.6
3 18
25
44
55
60
60
60
0.
93
3.08
Dea
f Blin
dnes
s 23
35
.91
11.2
5 15
18
29
34
43
51
60
0.
88
3.90
Mul
tiple
gro
up
1088
38
.59
13.0
3 15
15
29
40
48
60
60
0.
91
3.91
A
utis
m
1723
47
.70
10.1
5 22
28
41
49
56
60
60
0.
84
4.06
Tr
aum
atic
Bra
in In
jury
61
40
.79
14.3
2 15
15
29
43
53
60
60
0.
92
4.05
U
nkno
wn
134
42.5
0 14
15
15
34
44
.5
55
60
60
0.93
3.
70
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
89
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s Tabl
e 4.
21 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
I M
athe
mat
ics
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el I
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el I
1 5
25
50
75
95
99
All
All
9206
33
.62
10.7
7 15
15
25
34
39
56
60
0.
91
3.23
Gra
de
2 12
22
34.6
8 10
.51
15
18
28
35
40
56
60
0.90
3.
32
3 93
7 32
.99
9.60
15
16
26
34
39
47
60
0.
89
3.18
4
912
33.1
3 10
.36
15
16
25
34
39
50
60
0.91
3.
11
5 84
6 33
.13
10.4
1 15
15
26
34
39
50
60
0.
91
3.12
6
939
32.6
7 10
.39
15
15
24
34
38
50
60
0.91
3.
12
7 90
5 33
.81
11.2
4 15
15
25
34
40
56
60
0.
92
3.18
8
906
34.2
3 10
.81
15
16
26
35
40
56
60
0.91
3.
24
9 96
1 33
.59
11.5
9 15
15
24
34
41
60
60
0.
93
3.07
10
83
3 33
.92
10.9
4 15
15
26
34
40
56
60
0.
92
3.09
11
74
5 33
.76
11.7
8 15
15
23
34
40
60
60
0.
93
3.12
Gen
der
Mal
e 56
04
33.9
6 10
.76
15
16
26
34
40
56
60
0.91
3.
21
Fe
mal
e
3575
33
.09
10.8
4 15
15
24
34
39
56
60
0.
92
3.07
U
nkno
wn
27
34.2
6 13
.07
15
15
22
34
42
60
60
0.94
3.
20
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
58
35.9
1 11
.64
15
15
28
34
40
60
60
0.90
3.
68
Ethn
icity
A
sian
73
6 32
.99
10.6
2 15
15
25
34
39
50
60
0.
91
3.19
Paci
fic Is
land
er
45
37.2
2 12
.62
15
18
30
36
44
60
60
0.94
3.
09
Filip
ino
295
33.1
9 10
.28
15
16
26
33
39
56
60
0.90
3.
25
His
pani
c or
Lat
ino
4478
33
.63
10.9
7 15
15
25
34
40
56
60
0.
92
3.10
Afr
ican
Am
eric
an
1009
34
.05
11.0
8 15
15
25
35
40
56
60
0.
91
3.32
W
hite
24
89
33.5
8 10
.32
15
15
26
34
39
50
60
0.90
3.
26
Unk
now
n 96
32
.59
10.0
0 15
16
24
33
38
50
60
0.
90
3.16
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
90
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el I
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el I
1 5
25
50
75
95
99
Lang
uage
En
glis
h O
nly
5646
33
.37
10.6
0 15
15
25
34
39
56
60
0.
91
3.18
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
356
32.1
7 9.
96
15
16
24
32
38
50
60
0.90
3.
15
En
glis
h Le
arne
r 29
64
34.2
4 11
.08
15
15
26
34
41
56
60
0.92
3.
13
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
11
6 34
.61
11.4
3 15
15
26
.5
35
42
56
60
0.92
3.
23
Unk
now
n 12
4 33
.6
11.4
8 15
15
26
.5
34
39
56
60
0.92
3.
25
Econ
omic
Y
es
5172
34
.43
10.8
2 15
16
27
35
40
56
60
0.
91
3.25
D
isad
vant
age
No
3817
32
.63
10.5
3 15
15
24
33
39
50
60
0.
91
3.16
U
nkno
wn
217
31.8
8 12
.03
15
15
22
32
39
60
60
0.93
3.
18
Prim
ary
Men
tal R
etar
datio
n 32
04
36.2
3 10
.98
15
18
30
36
42
60
60
0.91
3.
29
Dis
abili
ty
Har
d of
Hea
ring
74
35.6
8 10
.13
15
20
29
35.5
41
56
60
0.
89
3.36
D
eafn
ess
43
33.6
0 11
.03
15
15
25
36
41
47
60
0.93
2.
92
Sp
eech
/Lan
guag
e Im
pairm
ent
60
40.4
7 10
.16
18
23
34.5
39
47
60
60
0.
87
3.66
Vis
ual I
mpa
irmen
t 24
0 31
.20
10.1
4 15
15
23
31
38
47
60
0.
92
2.87
Orth
oped
ic Im
pairm
ent
2278
29
.56
10.0
0 15
15
22
30
36
47
60
0.
92
2.83
Oth
er H
ealth
Impa
irmen
t 18
1 33
.25
11.7
1 15
15
24
33
40
56
60
0.
93
3.10
Sp
ecifi
c Le
arni
ng Im
pairm
ent
102
40.3
0 11
.32
19
21
34
39
47
60
60
0.90
3.
58
D
eaf B
lindn
ess
23
27.5
2 8.
04
15
15
20
30
34
38
40
0.88
2.
79
M
ultip
le g
roup
10
85
29.4
6 9.
82
15
15
22
30
36
45
60
0.92
2.
78
Aut
ism
17
16
36.6
1 8.
81
15
22
31
36
41
56
60
0.84
3.
52
Trau
mat
ic B
rain
Inju
ry
60
31.4
12
.56
15
15
21
30.5
39
60
60
0.
94
3.08
U
nkno
wn
132
32.8
6 11
.56
15
15
24
34
39
56
60
0.92
3.
27
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
91
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
22 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
II E
nglis
h–La
ngua
ge A
rts
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Alp
ha
SEM
Subg
roup
N
Mea
n SD
Lev
el II
1 5
25 50
75
95
99
All
All
6554
38
.51
9.00
18
26
33
38
43
60
60
0.
90
2.85
Gra
de
2 30
84
37.4
8 8.
45
18
26
33
37
41
60
60
0.89
2.
80
3 34
70
39.4
3 9.
37
18
27
33
39
43
60
60
0.90
2.
96
Gen
der
Mal
e 44
14
38.5
5 8.
96
18
26
33
38
43
60
60
0.89
2.
97
Fem
ale
2114
38
.41
9.09
16
27
33
38
43
60
60
0.
90
2.87
U
nkno
wn
26
39.8
1 8.
71
25
27
33
40.5
46
60
60
0.
93
2.30
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
57
40.2
1 8.
12
20
30
35
40
43
60
60
0.88
2.
81
Ethn
icity
A
sian
47
1 37
.46
8.72
15
26
33
37
41
60
60
0.
90
2.76
Pa
cific
Isla
nder
33
36
.15
6.37
25
26
30
38
41
46
46
0.
92
1.80
Fi
lipin
o 22
2 36
.81
8.36
16
26
32
36
40
60
60
0.
89
2.77
H
ispa
nic
or L
atin
o 32
28
38.5
9.
07
18
26
33
38
43
60
60
0.90
2.
87
Afr
ican
Am
eric
an
654
39.4
8 8.
79
20
27
35
39
43
60
60
0.89
2.
92
Whi
te
1788
38
.61
9.07
16
26
33
38
43
60
60
0.
90
2.87
U
nkno
wn
101
39.2
5 9.
69
18
27
33
39
41
60
60
0.88
3.
36
Lang
uage
En
glis
h O
nly
4104
38
.5
9.03
16
26
33
38
43
60
60
0.
90
2.86
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
132
36
9.92
16
22
29
.5
35
39
60
60
0.92
2.
81
Engl
ish
Lear
ner
2157
38
.71
8.84
18
27
33
38
43
60
60
0.
90
2.80
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
55
36.0
7 8.
73
20
22
30
34
41
60
60
0.92
2.
47
Unk
now
n 10
6 39
.2
9.47
20
28
33
38
43
60
60
0.
90
2.99
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
92
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Alp
ha
SEM
Subg
roup
N
M
ean
SDL
evel
II
1 5
25 50
75
95
99
Econ
omic
Y
es
3840
38
.97
9.00
20
27
33
38
43
60
60
0.
90
2.85
D
isad
vant
age
No
2483
37
.72
9.01
15
26
32
37
41
60
60
0.
90
2.85
U
nkno
wn
231
39.3
5 8.
24
22
29
34
39
43
60
60
0.86
3.
08
Prim
ary
Men
tal R
etar
datio
n 24
84
36.9
7 8.
22
18
26
32
36
41
60
60
0.89
2.
73
Dis
abili
ty
Har
d of
Hea
ring
55
40.0
5 10
.42
22
23
35
38
43
60
60
0.89
3.
46
Dea
fnes
s 66
37
.17
7.55
16
26
33
37
40
46
60
0.
89
2.50
Sp
eech
/Lan
guag
e Im
pairm
ent
519
43.1
3 8.
73
26
32
38
41
46
60
60
0.85
3.
38
Vis
ual I
mpa
irmen
t 52
35
.50
10.2
9 15
16
32
36
39
.5
60
60
0.92
2.
91
Emot
iona
l Dis
turb
ance
38
44
.95
8.11
33
33
40
43
46
60
60
0.
75
4.06
O
rthop
edic
Impa
irmen
t 38
0 37
.0
9.11
16
27
32
36
41
60
60
0.
90
2.88
O
ther
Hea
lth Im
pairm
ent
305
40.6
3 9.
77
16
27
35
39
46
60
60
0.90
3.
09
Spec
ific
Lear
ning
Impa
irmen
t 47
5 44
.87
8.91
27
33
40
43
46
60
60
0.
84
3.56
M
ultip
le g
roup
22
3 36
.75
9.24
15
25
32
35
40
60
60
0.
89
3.06
A
utis
m
1773
37
.53
8.61
18
25
32
37
41
60
60
0.
90
2.72
Tr
aum
atic
Bra
in In
jury
33
38
.00
8.07
18
22
35
40
43
46
60
0.
92
2.28
U
nkno
wn
146
39.0
9 9.
47
18
26
33
39
43
60
60
0.90
2.
99
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
93
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s Tabl
e 4.
23 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
II M
athe
mat
ics
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el II
1 5
25 50
75
95
99
All
All
6543
40
.03
8.79
15
28
35
39
44
60
60
0.
88
3.04
Gra
de
2 30
81
39.0
3 8.
39
15
28
34
38
44
52
60
0.88
2.
91
3 34
62
40.9
2 9.
04
15
29
35
40
47
60
60
0.89
3.
00
Gen
der
Mal
e 44
07
40.2
9 8.
82
15
28
35
39
44
60
60
0.88
3.
06
Fe
mal
e
2111
39
.48
8.67
15
28
34
38
44
60
60
0.
88
3.00
U
nkno
wn
25
41.2
4 10
.37
24
26
34
39
47
60
60
0.93
2.
74
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
57
42.2
8 8.
61
19
26
36
41
52
60
60
0.87
3.
10
Ethn
icity
A
sian
46
8 38
.82
8.49
15
28
34
38
42
52
60
0.
87
3.06
Paci
fic Is
land
er
33
38.6
1 9.
00
19
26
32
39
44
52
60
0.91
2.
70
Filip
ino
222
37.9
6 7.
59
16
28
33
38
42
52
60
0.86
2.
84
His
pani
c or
Lat
ino
3225
40
.1
8.70
15
28
35
39
44
60
60
0.
89
2.89
Afr
ican
Am
eric
an
653
40.5
7 8.
39
16
30
35
40
44
60
60
0.87
3.
03
Whi
te
1785
40
.24
9.17
15
28
35
39
44
60
60
0.
89
3.04
U
nkno
wn
100
40.1
9 9.
83
17
27
33
39
44
60
60
0.90
3.
11
Lang
uage
En
glis
h O
nly
4095
39
.97
8.95
15
28
35
39
44
60
60
0.
89
2.97
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
132
37.7
2 8.
21
15
29
33
36
42
52
60
0.87
2.
96
En
glis
h Le
arne
r 21
55
40.3
8.
41
16
29
35
39
44
60
60
0.88
2.
91
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
55
37
.73
8.64
16
26
33
36
42
60
60
0.
88
2.99
U
nkno
wn
106
41.0
3 10
.03
19
26
35
39
47
60
60
0.90
3.
17
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
94
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el II
1
5 25
50 75
95
99
Ec
onom
ic
Yes
38
37
40.6
2 8.
66
16
29
35
40
47
60
60
0.88
3.
00
Dis
adva
ntag
e N
o 24
75
39.0
2 8.
92
15
26
34
38
44
60
60
0.89
2.
96
Unk
now
n 23
1 41
.16
8.46
22
30
36
40
47
60
60
0.
86
3.17
Prim
ary
Men
tal R
etar
datio
n 24
81
38.4
3 7.
96
15
28
33
37
42
52
60
0.87
2.
87
Dis
abili
ty
Har
d of
Hea
ring
55
41.4
10
.59
19
24
35
40
47
60
60
0.91
3.
18
Dea
fnes
s 66
41
.48
8.11
24
31
37
40
44
60
60
0.
84
3.24
Spee
ch/L
angu
age
Impa
irmen
t 51
8 44
.47
7.82
29
33
39
44
52
60
60
0.
84
3.13
Vis
ual I
mpa
irmen
t 52
37
9.
99
15
16
33
38
42
52
60
0.92
2.
83
Em
otio
nal D
istu
rban
ce
38
48.1
8 8.
19
33
33
44
47
52
60
60
0.76
4.
01
O
rthop
edic
Impa
irmen
t 37
9 39
.87
9.42
15
26
34
38
44
60
60
0.
91
2.83
Oth
er H
ealth
Impa
irmen
t 30
4 41
.93
9.84
15
29
36
41
47
60
60
0.
89
3.26
Sp
ecifi
c Le
arni
ng Im
pairm
ent
475
46.9
9 7.
54
29
35
42
47
52
60
60
0.83
3.
11
M
ultip
le g
roup
22
2 38
.52
9.17
15
26
33
38
44
52
60
0.
90
2.90
A
utis
m
1769
38
.75
8.42
15
26
34
38
42
52
60
0.
87
3.04
Tr
aum
atic
Bra
in In
jury
33
39
.91
7.63
24
29
35
40
44
52
60
0.
87
2.75
U
nkno
wn
146
41.1
8 10
.2
16
24
34
39
52
60
60
0.90
3.
23
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
95
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
24 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
III E
nglis
h–La
ngua
ge A
rts
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
I Eng
lish–
Lan
guag
e A
rts
ELA
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Leve
l III
1 5
25
50
75
95
99
All
All
6687
37
.87
10.4
9 15
22
30
38
44
60
60
0.
90
3.32
Gra
de
4 33
99
37.0
9 10
.31
15
22
30
37
42
60
60
0.90
3.
26
5 32
88
38.6
8 10
.62
16
22
31
38
44
60
60
0.90
3.
36
Gen
der
Mal
e 43
87
37.8
1 10
.48
15
22
31
38
44
60
60
0.90
3.
31
Fem
ale
2267
37
.96
10.5
1 16
22
30
38
44
60
60
0.
91
3.15
U
nkno
wn
33
40.1
5 10
.32
22
25
33
38
47
60
60
0.89
3.
42
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
65
39.4
8 10
.62
22
25
31
38
47
60
60
0.91
3.
19
Ethn
icity
A
sian
46
6 35
.82
9.76
15
20
29
36
41
53
60
0.
90
3.09
Pa
cific
Isla
nder
37
37
.59
10.6
5 19
22
28
38
44
60
60
0.
91
3.20
Fi
lipin
o 18
5 34
.86
10.1
0 15
19
27
36
41
53
60
0.
92
2.86
H
ispa
nic
or L
atin
o 34
22
37.6
9 10
.56
15
22
30
37
44
60
60
0.91
3.
17
Afr
ican
Am
eric
an
716
39.3
1 10
.59
15
22
33
38
44
60
60
0.90
3.
35
Whi
te
1711
38
.32
10.3
9 17
22
31
38
44
60
60
0.
90
3.29
U
nkno
wn
85
40.6
4 10
.01
19
25
35
41
47
60
60
0.90
3.
17
Lang
uage
En
glis
h O
nly
4038
37
.88
10.4
3 15
22
30
38
44
60
60
0.
90
3.30
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
134
33.8
7 9.
53
15
21
28
33
40
53
60
0.90
3.
01
Engl
ish
Lear
ner
2347
38
.04
10.6
8 16
22
30
38
44
60
60
0.
91
3.20
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
95
36.6
1 9.
62
17
22
31
36
42
53
60
0.88
3.
33
Unk
now
n 73
41
.07
8.23
25
29
35
40
44
60
60
0.
76
4.03
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
96
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
I Eng
lish–
Lan
guag
e A
rts
ELA
M
ean
at P
erce
ntile
sSu
bgro
up
N
Mea
n SD
A
lpha
SE
MLe
vel I
II
1 5
25
50
75
95
99
Econ
omic
Y
es
4165
38
.22
10.5
5 16
22
31
38
44
60
60
0.
91
3.17
D
isad
vant
age
No
2370
37
.13
10.4
2 15
21
30
37
42
60
60
0.
90
3.30
U
nkno
wn
152
39.9
5 8.
97
21
27
34.5
40
44
60
60
0.
84
3.59
Prim
ary
Men
tal R
etar
datio
n 29
13
36.1
3 9.
70
16
22
29
36
42
53
60
0.90
3.
07
Dis
abili
ty
Har
d of
Hea
ring
58
35.0
3 9.
52
16
20
29
35
40
53
60
0.90
3.
01
Dea
fnes
s 55
35
.6
7.61
17
23
31
36
40
47
60
0.
90
2.41
Sp
eech
/Lan
guag
e Im
pairm
ent
349
44.0
9 9.
65
19
28
38
42
53
60
60
0.86
3.
61
Vis
ual I
mpa
irmen
t 54
35
.94
10.6
0 15
19
27
36
41
53
60
0.
91
3.18
Em
otio
nal D
istu
rban
ce
63
45.9
4 10
.88
27
30
37
44
60
60
60
0.85
4.
21
Orth
oped
ic Im
pairm
ent
387
37.2
4 10
.36
15
21
30
37
42
60
60
0.90
3.
28
Oth
er H
ealth
Impa
irmen
t 28
4 41
.1
10.7
1 16
25
34
41
47
60
60
0.
91
3.21
Sp
ecifi
c Le
arni
ng Im
pairm
ent
613
47.2
2 8.
59
28
34
41
47
53
60
60
0.78
4.
03
Mul
tiple
gro
up
255
36.3
10
.05
15
20
30
35
42
53
60
0.90
3.
18
Aut
ism
15
03
35.5
3 10
.21
15
19
28
36
41
53
60
0.91
3.
06
Trau
mat
ic B
rain
Inju
ry
30
40.2
3 9.
95
25
28
32
40
42
60
60
0.84
3.
98
Unk
now
n 11
9 40
.24
8.66
23
26
35
40
44
60
60
0.
83
3.57
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
97
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s Tabl
e 4.
25 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
III M
athe
mat
ics
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
I Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el II
I
1 5
25 50
75 95
99
All
All
6681
41
.49
10.6
0 16
25
33
41
49
60
60
0.
90
3.35
Gra
de
4 33
94
40.6
8 10
.48
15
25
33
40
46
60
60
0.90
3.
31
5 32
87
42.3
4 10
.65
18
25
34
42
49
60
60
0.90
3.
37
Gen
der
Mal
e 43
83
41.6
5 10
.78
16
25
33
41
49
60
60
0.90
3.
41
Fem
ale
2265
41
.13
10.2
3 16
25
33
41
49
60
60
0.
90
3.24
U
nkno
wn
33
45.7
9.
48
25
29
39
46
55
60
60
0.82
4.
02
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
65
42.8
9.
70
26
28
35
42
49
60
60
0.88
3.
36
Ethn
icity
A
sian
46
5 39
.72
10.3
2 15
24
33
40
46
60
60
0.
90
3.26
Pa
cific
Isla
nder
37
42
.19
11.3
3 22
25
33
41
49
60
60
0.
91
3.40
Fi
lipin
o 18
5 39
.35
11.2
7 15
23
31
38
46
60
60
0.
91
3.38
H
ispa
nic
or L
atin
o 34
20
41.4
9 10
.50
18
25
34
41
49
60
60
0.90
3.
32
Afr
ican
Am
eric
an
714
43.0
1 11
.10
15
25
35
42
49
60
60
0.91
3.
33
Whi
te
1710
41
.45
10.5
6 19
25
33
41
49
60
60
0.
90
3.34
U
nkno
wn
85
42.6
7 9.
39
23
28
38
41
46
60
60
0.86
3.
51
Lang
uage
En
glis
h O
nly
4035
41
.45
10.7
2 16
25
33
41
49
60
60
0.
90
3.39
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
133
37.8
3 9.
94
15
25
31
36
44
60
60
0.89
3.
30
Engl
ish
Lear
ner
2345
41
.71
10.4
4 18
25
34
42
49
60
60
0.
90
3.30
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
95
40.8
1 10
.51
16
24
32
41
49
60
60
0.91
3.
15
Unk
now
n 73
44
.32
8.21
25
32
39
44
49
60
60
0.
77
3.94
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
98
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el II
I Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el II
I 1
5 25
50 75
95 99
Econ
omic
Y
es
4163
42
.05
10.5
3 18
25
34
42
49
60
60
0.
90
3.33
D
isad
vant
age
No
2366
40
.41
10.7
1 15
25
33
40
46
60
60
0.
90
3.39
U
nkno
wn
152
43.1
4 9.
36
21
26
37
43
49
60
60
0.86
3.
50
Prim
ary
Men
tal R
etar
datio
n 29
10
39.8
5 9.
91
19
25
33
40
46
60
60
0.90
3.
13
Dis
abili
ty
Har
d of
Hea
ring
58
40.8
1 10
.39
16
25
34
40
46
60
60
0.89
3.
45
Dea
fnes
s 55
46
.09
9.53
19
32
40
46
55
60
60
0.
81
4.15
Sp
eech
/Lan
guag
e Im
pairm
ent
348
47.8
6 8.
85
24
33
42
46
55
60
60
0.82
3.
75
Vis
ual I
mpa
irmen
t 54
38
.78
11.2
3 15
19
32
39
46
60
60
0.
92
3.18
Em
otio
nal D
istu
rban
ce
63
48.4
3 9.
73
30
34
40
46
60
60
60
0.80
4.
35
Orth
oped
ic Im
pairm
ent
386
40.2
3 11
.08
15
24
33
40
46
60
60
0.92
3.
13
Oth
er H
ealth
Impa
irmen
t 28
4 43
.37
10.8
5 15
26
36
44
49
60
60
0.
92
3.07
Sp
ecifi
c Le
arni
ng Im
pairm
ent
613
49.3
7 7.
85
31
37
44
49
55
60
60
0.70
4.
30
Mul
tiple
gro
up
255
39.2
10
.8
15
24
31
39
46
60
60
0.91
3.
24
Aut
ism
15
02
39.8
8 10
.99
15
23
32
40
46
60
60
0.90
3.
48
Trau
mat
ic B
rain
Inju
ry
30
44.1
7 9.
06
30
31
37
42
55
60
60
0.80
4.
05
Unk
now
n 11
9 42
.95
8.56
25
28
38
42
49
60
60
0.
82
3.63
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
99
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
26 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
IV E
nglis
h–La
ngua
ge A
rts
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el IV
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el IV
1
525
50
75
95
99
A
ll A
ll 10
604
36.0
2 9.
43
16
20
30
36
42
51
60
0.90
2.
98
Gra
de
6 34
10
34.6
6 8.
94
15
20
28
35
41
51
60
0.89
2.
97
7 35
97
36.0
5 9.
37
16
21
30
36
42
51
60
0.90
2.
96
8 35
97
37.2
9 9.
77
16
21
31
37
42
60
60
0.90
3.
09
Gen
der
Mal
e 67
93
35.9
8 9.
48
16
20
29
36
42
51
60
0.90
3.
00
Fem
ale
3769
36
.07
9.34
16
21
30
36
42
51
60
0.
89
3.10
U
nkno
wn
42
37.8
8 9.
79
15
21
32
38
44
51
60
0.91
2.
94
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
106
37.4
7 9.
76
18
22
31
37.5
44
51
60
0.
90
3.09
Et
hnic
ity
Asi
an
688
33.8
1 9.
57
15
20
27
34
40
51
60
0.90
3.
03
Paci
fic Is
land
er
53
34.9
4 10
.1
16
19
28
35
41
60
60
0.90
3.
19
Filip
ino
276
33.4
1 9.
31
15
20
26
33
41
51
60
0.91
2.
79
His
pani
c or
Lat
ino
5027
35
.88
9.21
16
21
29
36
41
51
60
0.
90
2.91
A
fric
an A
mer
ican
12
15
37.3
4 9.
45
16
21
32
37
42
51
60
0.90
2.
99
Whi
te
3070
36
.41
9.59
16
20
30
36
42
51
60
0.
89
3.18
U
nkno
wn
169
36.5
9.
91
15
19
31
36
42
51
60
0.90
3.
13
Lang
uage
En
glis
h O
nly
6529
36
.19
9.58
15
20
30
36
42
51
60
0.
90
3.03
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
279
33.1
1 9.
48
16
20
26
33
40
51
60
0.91
2.
84
Engl
ish
Lear
ner
3368
35
.73
9.09
16
21
29
35
41
51
60
0.
89
3.01
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
226
36.0
1 9.
03
18
23
29
36
42
51
60
0.89
2.
99
Unk
now
n 20
2 39
.45
9.43
18
25
34
38
44
60
60
0.
88
3.27
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
100
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el IV
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el IV
1
525
50
75
95
99
Ec
onom
ic
Yes
63
40
36.0
8 9.
24
16
21
30
36
42
51
60
0.89
3.
06
Dis
adva
ntag
e N
o 39
19
35.6
5 9.
77
15
20
29
35
42
51
60
0.90
3.
09
Unk
now
n 34
5 39
.24
8.45
20
25
34
40
44
51
60
0.
85
3.27
Prim
ary
Men
tal R
etar
datio
n 50
68
35.2
8.
82
17
21
29
35
41
51
60
0.89
2.
93
Dis
abili
ty
Har
d of
Hea
ring
99
33.1
3 9.
88
15
19
26
35
41
51
60
0.92
2.
79
Dea
fnes
s 13
5 35
.21
8.08
19
21
31
35
40
47
51
0.
89
2.68
Sp
eech
/Lan
guag
e Im
pairm
ent
293
40.6
2 8.
44
20
27
36
41
44
60
60
0.85
3.
27
Vis
ual I
mpa
irmen
t 95
34
.16
9.12
15
17
29
35
41
51
60
0.
90
2.88
Em
otio
nal D
istu
rban
ce
114
42.3
9 9.
24
17
27
37
42
47
60
60
0.88
3.
20
Orth
oped
ic Im
pairm
ent
636
35.4
8 8.
93
15
20
30
35
41
51
60
0.89
2.
96
Oth
er H
ealth
Impa
irmen
t 38
7 39
.32
9.27
19
25
33
40
44
60
60
0.
87
3.34
Sp
ecifi
c Le
arni
ng Im
pairm
ent
963
42.3
8 7.
39
25
32
38
42
47
60
60
0.77
3.
54
Mul
tiple
gro
up
417
33.5
8 8.
93
15
20
27
34
40
47
60
0.90
2.
82
Aut
ism
20
52
33.9
4 10
.37
15
18
26
34
41
51
60
0.91
3.
11
Trau
mat
ic B
rain
Inju
ry
67
39
7.98
15
27
33
38
44
51
60
0.
87
2.88
U
nkno
wn
272
38.8
1 9.
48
16
21
34
38
44
60
60
0.89
3.
14
*Res
ults
for g
roup
s w
ith fe
wer
than
11
mem
bers
are
not
repo
rted
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
101
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s Tabl
e 4.
27 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
IV M
athe
mat
ics
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el IV
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el IV
1
5 25
50
75
95
99
A
ll A
ll 10
581
34.9
8 10
.44
15
19
28
34
40
60
60
0.88
3.
62
Gra
de
6 34
06
33.6
8 9.
96
15
19
27
33
39
60
60
0.88
3.
45
7 35
87
35.0
7 10
.47
15
19
28
34
40
60
60
0.88
3.
63
8 35
88
36.1
3 10
.7
16
19
29
35
42
60
60
0.88
3.
71
Gen
der
Mal
e 67
77
35.2
2 10
.64
15
19
28
34
40
60
60
0.88
3.
69
Fem
ale
3761
34
.56
10.0
6 15
19
28
34
40
60
60
0.
88
3.48
U
nkno
wn
43
35.3
3 9.
56
15
19
28
36
42
49
60
0.86
3.
58
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
106
36.7
5 11
.31
18
19
29
35
42
60
60
0.89
3.
75
Ethn
icity
A
sian
68
8 32
.62
9.63
15
19
27
32
37
49
60
0.
87
3.47
Pa
cific
Isla
nder
53
35
.92
11.6
6 15
19
27
35
40
60
60
0.
90
3.69
Fi
lipin
o 27
6 32
.59
10.0
5 15
18
26
32
39
49
60
0.
89
3.33
H
ispa
nic
or L
atin
o 50
17
35.0
8 10
.46
15
19
28
34
40
60
60
0.88
3.
62
Afr
ican
Am
eric
an
1210
36
.05
10.3
0 15
19
30
35
40
60
60
0.
87
3.71
W
hite
30
63
35.0
4 10
.51
15
19
28
34
40
60
60
0.88
3.
64
Unk
now
n 16
8 35
.76
10.1
8 15
19
30
34
42
60
60
0.
87
3.67
Lang
uage
En
glis
h O
nly
6514
34
.94
10.4
9 15
19
28
34
40
60
60
0.
88
3.63
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
279
32.0
3 10
.16
15
19
26
32
36
60
60
0.88
3.
52
Engl
ish
Lear
ner
3360
35
.17
10.4
16
19
28
34
40
60
60
0.
88
3.60
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
226
34.3
4 9.
34
18
20
28
34
40
49
60
0.87
3.
37
Unk
now
n 20
2 38
.05
9.66
19
24
32
37
42
60
60
0.
83
3.98
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
102
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el IV
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el IV
1
5 25
50
75
95
99
Ec
onom
ic
Yes
63
27
35.3
1 10
.49
15
19
28
34
40
60
60
0.88
3.
63
Dis
adva
ntag
e N
o 39
11
34.1
9 10
.37
15
19
27
33
40
60
60
0.88
3.
59
Unk
now
n 34
3 38
9.
23
19
26
32
37
42
60
60
0.80
4.
13
Prim
ary
Men
tal R
etar
datio
n 50
61
33.4
2 9.
48
16
19
27
33
39
49
60
0.87
3.
42
Dis
abili
ty
Har
d of
Hea
ring
99
34.2
1 12
.22
15
18
26
33
40
60
60
0.91
3.
67
Dea
fnes
s 13
5 39
.66
10.2
7 20
26
32
37
44
60
60
0.
81
4.48
Sp
eech
/Lan
guag
e Im
pairm
ent
292
40.0
6 9.
25
19
27
34
39
44
60
60
0.78
4.
34
Vis
ual I
mpa
irmen
t 95
31
.66
10.5
8 15
16
24
31
37
49
60
0.
91
3.17
Em
otio
nal D
istu
rban
ce
113
42.3
5 10
.79
16
29
34
40
49
60
60
0.79
4.
94
Orth
oped
ic Im
pairm
ent
634
33.8
4 10
.37
15
19
27
33
39
60
60
0.90
3.
28
Oth
er H
ealth
Impa
irmen
t 38
6 37
.81
10.1
8 19
22
32
36
42
60
60
0.
85
3.94
Sp
ecifi
c Le
arni
ng Im
pairm
ent
960
43.6
1 9.
78
27
31
36
42
49
60
60
0.70
5.
36
Mul
tiple
gro
up
416
31.7
7 9.
45
15
18
26
32
37
49
60
0.89
3.
13
Aut
ism
20
45
33.5
5 10
.57
15
18
27
33
39
60
60
0.88
3.
66
Trau
mat
ic B
rain
Inju
ry
67
38.4
9 9.
73
15
23
32
39
42
60
60
0.83
4.
01
Unk
now
n 27
2 37
.81
10.4
8 15
22
32
37
42
60
60
0.
86
3.92
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
103
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Tabl
e 4.
28 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
V E
nglis
h–La
ngua
ge A
rts
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el V
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el V
1
5 25
50 75
95 99
A
ll A
ll 10
051
38.2
8 10
.79
15
22
31
38
44
60
60
0.92
3.
05
Gra
de
9 35
06
36.9
7 10
.27
15
21
30
37
44
56
60
0.91
3.
08
10
3359
38
.65
10.8
8 16
22
31
38
47
60
60
0.
92
3.08
11
31
86
39.3
4 11
.10
15
22
32
40
47
60
60
0.92
3.
14
Gen
der
Mal
e 62
45
38.1
9 10
.92
15
21
31
38
44
60
60
0.92
3.
09
Fem
ale
3763
38
.4
10.5
8 16
22
31
38
44
60
60
0.
91
3.17
U
nkno
wn
43
40.3
3 9.
92
21
24
33
41
44
60
60
0.86
3.
71
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
96
41.7
1 11
.27
21
23
33
41
50
60
60
0.91
3.
38
Ethn
icity
A
sian
62
5 35
.67
10.5
9 15
20
27
35
43
56
60
0.
92
3.00
Pa
cific
Isla
nder
60
38
.47
11.5
5 15
22
.5
28.5
38
47
60
60
0.
94
2.83
Fi
lipin
o 24
6 36
.4
10.7
0 15
21
27
36
43
56
60
0.
92
3.03
H
ispa
nic
or L
atin
o 45
73
37.8
5 10
.46
15
22
31
37
44
56
60
0.91
3.
14
Afr
ican
Am
eric
an
1246
38
.95
10.7
5 15
22
32
38
47
60
60
0.
92
3.04
W
hite
30
48
39.3
6 11
.13
15
21
32
40
47
60
60
0.92
3.
15
Unk
now
n 15
7 35
.56
10.7
3 16
21
26
36
44
56
60
0.
92
3.03
Lang
uage
En
glis
h O
nly
6384
38
.58
11.0
0 15
21
31
38
47
60
60
0.
92
3.11
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
312
36.2
3 10
.07
17
21
29
35.5
43
56
60
0.
91
3.02
En
glis
h Le
arne
r 29
01
37.8
5 10
.34
15
22
31
37
44
56
60
0.91
3.
10
Rec
lass
ified
–Flu
ent E
nglis
h Pr
ofic
ient
24
1 37
.9
10.9
4 15
23
30
37
44
56
60
0.
91
3.28
U
nkno
wn
213
38.6
3 10
.74
16
21
31
40
44
56
60
0.92
3.
04
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
104
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el V
Eng
lish–
Lan
guag
e A
rts
EL
A
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el V
1
5 25
50 75
95 99
Ec
onom
ic
Yes
57
15
38.2
1 10
.64
16
22
31
38
44
56
60
0.92
3.
01
Dis
adva
ntag
e N
o 39
95
38.1
7 11
.02
15
21
31
38
44
60
60
0.92
3.
12
Unk
now
n 34
1 40
.74
10.2
6 17
22
34
43
47
56
60
0.
91
3.08
Prim
ary
Men
tal R
etar
datio
n 55
05
37.5
4 10
.26
16
22
31
37
44
56
60
0.91
3.
08
Dis
abili
ty
Har
d of
Hea
ring
88
35.6
1 10
.39
15
20
26
37
43
50
60
0.93
2.
75
Dea
fnes
s 12
8 39
.93
8.72
20
24
34
41
45
.5
56
56
0.88
3.
02
Spee
ch/L
angu
age
Impa
irmen
t 15
3 44
.31
8.45
21
32
40
44
50
60
60
0.
82
3.59
V
isua
l Im
pairm
ent
87
36.4
4 10
.33
15
21
31
36
44
56
60
0.91
3.
10
Emot
iona
l Dis
turb
ance
15
4 45
.32
9.81
15
26
40
44
56
60
60
0.
89
3.25
O
rthop
edic
Impa
irmen
t 51
1 36
.12
10.5
5 15
21
29
35
43
56
60
0.
92
2.98
O
ther
Hea
lth Im
pairm
ent
347
41.2
9 10
.91
15
23
34
41
50
60
60
0.92
3.
09
Spec
ific
Lear
ning
Impa
irmen
t 87
8 46
.29
8.77
23
33
41
47
56
60
60
0.
82
3.72
M
ultip
le g
roup
41
7 35
.24
10.6
3 15
21
26
34
43
56
60
0.
92
3.01
A
utis
m
1484
35
.78
11.4
7 15
18
26
35
44
56
60
0.
93
3.03
Tr
aum
atic
Bra
in In
jury
72
39
.42
10.2
8 15
23
33
39
47
60
60
0.
90
3.25
U
nkno
wn
222
39.3
7 11
.16
15
21
31
40
47
56
60
0.92
3.
16
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
105
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s Tabl
e 4.
29 S
cale
Sco
re D
istr
ibut
ions
*: L
evel
V M
athe
mat
ics
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el V
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el V
1
5 2
5 50
75 95
99
All
All
1003
1 35
.77
10.2
7 15
20
28
35
42
56
60
0.
91
3.08
Gra
de
9 35
02
34.7
9.
81
15
20
27
34
41
56
60
0.90
3.
10
10
3350
36
.23
10.5
3 15
21
28
36
42
56
60
0.
91
3.16
11
31
79
36.4
7 10
.40
15
21
28
36
43
56
60
0.91
3.
12
Gen
der
Mal
e 62
32
36.2
10
.69
15
20
28
36
43
56
60
0.91
3.
21
Fem
ale
3756
35
.02
9.48
15
21
28
35
41
56
60
0.
90
3.00
U
nkno
wn
43
40.0
2 9.
97
23
23
34
40
47
60
60
0.88
3.
45
Rac
e A
mer
ican
Indi
an o
r Ala
ska
Nat
ive
95
38.8
10
.87
15
23
31
38
45
60
60
0.91
3.
26
Ethn
icity
A
sian
62
4 33
.69
10.0
9 15
18
25
33
40
56
60
0.
91
3.03
Pa
cific
Isla
nder
60
36
.55
10.6
2 15
23
27
36
45
56
60
0.
93
2.81
Fi
lipin
o 24
4 33
.58
9.75
15
18
25
33
40
56
56
0.
91
2.93
H
ispa
nic
or L
atin
o 45
63
35.8
2 10
.16
15
21
28
35
42
56
60
0.91
3.
05
Afr
ican
Am
eric
an
1241
35
.85
10.1
6 15
21
28
35
42
56
60
0.
90
3.21
W
hite
30
47
36.2
8 10
.46
15
20
28
36
42
56
60
0.91
3.
14
Unk
now
n 15
7 33
.54
10.0
3 15
18
24
34
41
49
60
0.
91
3.01
Lang
uage
En
glis
h O
nly
6374
35
.69
10.3
1 15
20
28
35
42
56
60
0.
91
3.09
Fl
uenc
y In
itial
ly–F
luen
t Eng
lish
Prof
icie
nt
309
34.2
8 9.
52
15
20
27
34
41
49
60
0.89
3.
16
Engl
ish
Lear
ner
2896
36
.01
10.1
7 15
21
28
36
42
56
60
0.
91
3.05
R
ecla
ssifi
ed–F
luen
t Eng
lish
Prof
icie
nt
239
36.2
8 10
.65
15
23
28
35
43
60
60
0.91
3.
20
Unk
now
n 21
3 36
.7
10.8
5 15
20
28
36
43
56
60
0.
92
3.07
CA
PA
Tec
hnic
al R
epor
t | S
prin
g 20
07 A
dmin
istra
tion
Febr
uary
200
8
Page
106
Chap
ter 4.
Stat
ewide
Ass
essm
ent R
esult
s | T
est R
esult
s
Scal
e Sc
ore
Dis
trib
utio
ns*:
Lev
el V
Mat
hem
atic
s M
athe
mat
ics
Mea
n at
Per
cent
iles
Subg
roup
N
M
ean
SD
Alp
ha
SEM
Lev
el V
1
5 2
5 50
75 95
99
Econ
omic
Y
es
5702
35
.89
10.1
7 15
21
28
35
42
56
60
0.
91
3.05
D
isad
vant
age
No
3988
35
.37
10.3
7 15
20
27
35
42
56
60
0.
91
3.11
U
nkno
wn
341
38.4
3 10
.45
15
23
31
39
45
56
60
0.90
3.
30
Prim
ary
Men
tal R
etar
datio
n 54
94
34.5
5 9.
31
15
21
27
34
40
49
60
0.89
3.
09
Dis
abili
ty
Har
d of
Hea
ring
88
34.1
3 10
.4
15
16
25
34
41
49
60
0.92
2.
94
Dea
fnes
s 12
9 39
.67
8.62
21
24
34
40
45
56
60
0.
83
3.55
Sp
eech
/Lan
guag
e Im
pairm
ent
152
42.5
5 8.
63
19
28
37
42
47
60
60
0.83
3.
56
Vis
ual I
mpa
irmen
t 87
33
.59
8.80
15
18
27
35
39
49
56
0.
89
2.92
Em
otio
nal D
istu
rban
ce
153
44.2
7 10
.21
15
28
39
45
49
60
60
0.89
3.
39
Orth
oped
ic Im
pairm
ent
507
33.6
9 9.
86
15
20
25
33
39
56
60
0.91
2.
96
Oth
er H
ealth
Impa
irmen
t 34
5 37
.84
10.0
7 15
23
31
38
45
56
60
0.
90
3.18
Sp
ecifi
c Le
arni
ng Im
pairm
ent
878
45.1
2 8.
90
23
32
39
43
49
60
60
0.81
3.
88
Mul
tiple
gro
up
416
32.6
7 9.
64
15
18
25
32
39
49
60
0.91
2.
89
Aut
ism
14
83
33.8
10
.97
15
16
25
33
41
56
60
0.92
3.
10
Trau
mat
ic B
rain
Inju
ry
72
39.0
1 10
.43
15
24
31.5
39
45
56
60
0.
90
3.30
U
nkno
wn
222
37.4
9 11
.63
15
20
28
38
45
60
60
0.93
3.
08
*Res
ults
for g
roup
s with
few
er th
an 1
1 m
embe
rs a
re n
ot re
porte
d
Febr
uary
200
8 C
AP
A T
echn
ical
Rep
ort |
Spr
ing
2007
Adm
inis
tratio
n
Page
107
References | Test Results
References American Educational Research Association, American Psychological Association, and National
Council on Measurement in Education. Standards for Educational And Psychological Testing. Washington, DC: American Educational Research Association, 1999.
Crocker, L. and Algina, J. Introduction to Classical and Modern Test Theory. New York: Holt, 1986.
Cronbach, L.J. “Coefficient alpha and the internal structure of tests,” Psychometrika Vol. 16 (1951), pp. 292–334.
Dorans, N. J., and Holland, P. W. “DIF Detection and Description: Mantel-Haenszel and Standardization,” in Differential Item Functioning. Edited by P. W. Holland and H. Wainer. Hillsdale, NJ: Lawrence Erlbaum, 1993, pp. 35–66.
Dorans N.J., and Schmitt A.P. “Constructed Response and Differential Item Functioning: A Pragmatic Approach,” in Construction Versus Choice in Cognitive Measurement. Edited by R.E. Bennett and W.C. Ward. Hillsdale, NJ: Lawrence Erlbaum Associates, 1993, pp.135–165.
Drasgow F. “Polychoric and Polyserial Correlations,” in Encyclopedia of Statistical Sciences, Vol. 7. Edited by L. Kotz, N. L. Johnson. New York: Wiley, 1988, pp. 69–74.
Educational Testing Service. ETS Standards for Quality and Fairness. Princeton, NJ: Author, 2002.
Feldt, L. S. and Brennen, R. L. “Reliability,” in Educational Measurement. Edited by R.L. Linn. New York: Macmillan, 1989.
Holland, P.W. and Thayer, D.T. “An Alternative Definition of the ETS Delta Scale of Item Difficulty.” RR-85–43, 1985.
Livingston, S.A., and Lewis, C. “Estimating the Consistency and Accuracy of Classification Based on Test Scores.” Journal on Educational Measurement Vol. 32 (1995), pp. 179–197.
Lord, F.M. Applications of Item Response Theory to Practical Testing Problems. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc., 1980.
Mantel, N. “Chi-square Tests with One Degree of Freedom: Extensions of the Mantel-Haenszel Procedure.” Journal of the American Statistical Association, Vol. 58 (1963), pp. 690–700.
Mantel, N, and Haenszel, W. “Statistical Aspects of the Analysis of Data from Retrospective Studies of Disease.” Journal of the National Cancer Institute, Vol. 22 (1959), pp. 719–748.
Muraki, E. “A Generalized Partial Credit Model: Application of an EM Algorithm.” Applied Psychological Measurement Vol. 16 (1992), pp. 159–176.
Muraki, E. and Bock, R.D. “PARSCALE” [Computer software]. Chicago, IL: Scientific Software, Inc., 1999.
No Child Left Behind Act of 2001, 20 U.S.C. 6301 et seq (PL 107–110), 2001.
Stocking, M.L., and Lord, F.M. “Developing a Common Metric in Item Response Theory.” Applied Psychological Measurement (1983), pp. 201–210, 1983.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 108
Appendix A. Individual Task Statistics | Test Results
Appendix A. Individual Task Statistics Table A.1 2007 CAPA Task Statistics: Level I
2007 CAPA Task Statistics: Level I Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level I Content Version Task Numbe
r AIS Polyserial Pearson Flag English–Language Arts 01/07* 1 3.21 .75 0.73
OP 2 2.94 .83 0.81 01/07* 3 2.98 .80 0.78
OP 4 2.41 .84 0.79 OP 5 3.62 .71 0.68 OP 6 2.93 .85 0.82
01/02/03/04/06/07/08* 7 3.31 .65 0.64 OP 8 3.41 .80 0.79 OP 9 3.94 .82 0.77
01/02/04/07/08* 10 3.22 .81 0.77 OP 11 2.61 .83 0.79 OP 12 3.25 .84 0.82
02/08* 1 2.74 .78 0.74 02/06* 10 3.17 .77 0.76
03 1 3.10 .78 0.75 03/05* 3 3.30 .75 0.67 03/05* 10 3.07 .73 0.70
04 1 3.18 .76 0.73 04 10 3.21 .81 0.78 05 7 3.24 .77 0.74 06 1 3.29 .71 0.68 06 3 3.10 .78 0.76
Mathematics OP 13 2.37 .79 0.68 OP 14 2.86 .82 0.73 OP 15 2.85 .79 0.70
01/07* 16 2.49 .77 0.73 OP 17 2.90 .84 0.80 OP 18 2.95 .80 0.73
01/07* 19 2.70 .78 0.75 01/07* 20 2.13 .74 0.69
OP 21 2.68 .84 0.67 01/07* 22 2.29 .81 0.76
OP 23 2.71 .84 0.72 OP 24 2.83 .84 0.72
02/08* 16 2.68 .75 0.70 02/08* 19 2.31 .81 0.74 02/08* 20 2.62 .79 0.73 02/08* 22 2.37 .76 0.70
CAPA Technical Report | Spring 2007 Administration February 2008 Page 109
Appendix A. Individual Task Statistics | Test Results
2007 CAPA Task Statistics: Level I Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level I Content Version Task Numbe
r AIS Polyserial Pearson Flag 03 16 2.61 .79 0.76 03 19 2.48 .72 0.69 03 20 2.34 .75 0.71 03 22 1.91 .76 0.71 04 16 2.71 .75 0.72 04 19 2.82 .78 0.74 04 20 2.55 .79 0.74 04 22 2.74 .75 0.70 05 16 2.80 .73 0.68 05 19 2.78 .69 0.63 05 20 3.00 .71 0.66 05 22 3.10 .77 0.73 06 16 3.33 .78 0.75 06 19 3.19 .80 0.78 06 20 2.92 .75 0.70 06 22 2.96 .78 0.73
Science OP 25 2.57 .87 0.63 OP 26 2.53 .86 0.67 OP 27 2.79 .85 0.65
01/03/05/07* 28 2.33 .78 0.77 01/03/05/07* 29 2.67 .82 0.82
OP 30 2.65 .83 0.70 OP 31 3.37 .74 0.76 OP 32 2.43 .86 0.62
01/03/05/07* 33 2.23 .79 0.78 01/03/05/07* 34 2.76 .81 0.81
OP 35 2.67 .78 0.78 OP 36 2.90 .82 0.78
02/04/06/08* 29 3.01 .65 0.66 02/04/06/08* 31 2.99 .80 0.79 02/04/06/08* 33 3.03 .76 0.76 02/04/06/08* 36 3.21 .77 0.76
*This task appeared on more than one field test form.
February 2008 CAPA Technical Report | Spring 2007 Administration Page 110
Appendix A. Individual Task Statistics | Test Results
Table A.2 2007 CAPA Task Statistics: Level II
2007 CAPA Task Statistics: Level II Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level II Content Version Task Number AIS Polyserial Pearson Flag English–Language Arts 01/05* 1 2.26 .55 0.50 R
OP 2 3.21 .81 0.79 H OP 3 3.23 .76 0.75 H OP 4 2.52 .74 0.71 OP 5 3.04 .79 0.77
01/02/04/05/06/08* 6 3.54 .67 0.63 H OP 7 2.54 .76 0.72
01/02/05/06* 8 2.43 .61 0.57 OP 9 3.20 .81 0.80 H
01/05* 10 2.96 .57 0.56 R OP 11 3.13 .79 0.77 OP 12 2.99 .80 0.77
02/06* 6 2.60 .63 0.59 02/06* 10 2.36 .54 0.50 R 03/07* 1 3.78 .55 0.43 R H 03/07* 6 2.57 .62 0.57 03/07* 8 3.00 .62 0.60 03/07* 10 2.39 .45 0.42 R 04/08* 6 2.75 .75 0.75 04/08* 8 2.58 .66 0.63 04/08* 10 2.91 .53 0.51 R
Mathematics 01/05* 13 3.09 .71 0.70 OP 14 3.50 .70 0.68 H
01/05* 15 3.16 .65 0.61 01/05* 16 3.45 .64 0.61 H
OP 17 2.65 .77 0.67 OP 18 2.07 .73 0.65 OP 19 2.97 .65 0.64 OP 20 2.82 .78 0.70 OP 21 2.96 .85 0.79
01/05* 22 2.83 .70 0.67 OP 23 3.17 .84 0.80 OP 24 2.96 .87 0.85
02/06* 13 2.76 .67 0.64 02/06* 15 1.82 .64 0.60 02/06* 16 2.62 .55 0.50 R 02/06* 22 2.22 .76 0.69 03/07* 13 2.74 .65 0.63 03/07* 15 2.89 .67 0.65 03/07* 16 2.41 .76 0.71 03/07* 22 2.93 .69 0.66 04/08* 13 2.60 .74 0.71 04/08* 15 2.43 .58 0.55 R 04/08* 16 1.84 .70 0.69 04/08* 22 2.64 .73 0.70
*This task appeared on more than one field test form.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 111
Appendix A. Individual Task Statistics | Test Results
Table A.3 2007 CAPA Task Statistics: Level III 2007 CAPA Task Statistics: Level III
Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level III Content Version Task Number AIS Polyserial Pearson Flag English–Language Arts 01/05* 1 2.85 .69 0.67
OP 2 2.92 .83 0.82 OP 3 3.41 .80 0.74 H OP 4 2.57 .73 0.69
01/05* 5 2.59 .54 0.51 R OP 6 2.70 .79 0.77 OP 7 2.63 .78 0.76 OP 8 2.58 .81 0.79
01/05* 9 3.14 .72 0.69 01/05* 10 3.25 .68 0.63 H
OP 11 2.89 .83 0.81 OP 12 2.41 .83 0.79
02/06* 1 3.17 .60 0.60 02/06* 5 2.81 .49 0.45 R 02/06* 9 3.20 .62 0.56 H 02/06* 10 3.15 .70 0.68 03/07* 1 2.80 .51 0.48 R 03/07* 5 2.17 .61 0.56 03/07* 9 2.64 .61 0.57 03/07* 10 2.82 .71 0.68 04/08* 1 2.50 .73 0.72 04/08* 5 3.53 .72 0.60 H 04/08* 9 3.05 .64 0.60 04/08* 10 2.94 .70 0.67
Mathematics 01/05* 13 2.94 .51 0.48 R OP 14 2.54 .81 0.70 OP 15 2.45 .76 0.69
01/05* 16 2.28 .56 0.52 R OP 17 3.08 .78 0.70
01/05* 18 2.64 .77 0.71 OP 19 3.46 .78 0.64 H OP 20 3.13 .81 0.75 OP 21 3.15 .77 0.72
01/05* 22 2.33 .77 0.69 OP 23 2.74 .83 0.79 OP 24 3.10 .83 0.80
02/06* 13 2.19 .62 0.55 02/06* 16 2.09 .56 0.51 R 02/06* 18 2.52 .54 0.49 R 02/06* 22 2.26 .68 0.61 03/07* 13 2.86 .77 0.76 03/07* 16 2.90 .72 0.71 03/07* 18 2.35 .51 0.47 R
February 2008 CAPA Technical Report | Spring 2007 Administration Page 112
Appendix A. Individual Task Statistics | Test Results
2007 CAPA Task Statistics: Level III Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level III Content Version Task Number AIS Polyserial Pearson Flag 03/07* 22 2.14 .48 0.43 R 04/08* 13 1.76 .49 0.38 R 04/08* 16 2.32 .49 0.46 R 04/08* 18 2.02 .70 0.61 04/08* 22 3.19 .78 0.76
Science OP 25 2.75 .75 0.70 OP 26 3.51 .79 0.75 H OP 27 3.04 .79 0.74
01/03/05/07* 28 2.85 .65 0.63 01/03/05/07* 29 2.78 .68 0.64
OP 30 2.32 .84 0.80 01/03/05/07* 31 2.46 .71 0.68
OP 32 2.59 .80 0.74 01/03/05/07* 33 2.93 .73 0.70 01/03/05/07* 34 2.93 .70 0.65 01/03/05/07* 35 2.68 .72 0.66 01/03/05/07* 36 2.69 .76 0.66 02/04/06/08* 28 3.32 .60 0.58 H 02/04/06/08* 29 3.13 .68 0.66 02/04/06/08* 31 2.94 .69 0.67 02/04/06/08* 33 2.58 .65 0.61 02/04/06/08* 34 2.56 .61 0.56 02/04/06/08* 35 2.28 .60 0.54 02/04/06/08* 36 2.83 .65 0.57
CAPA Technical Report | Spring 2007 Administration February 2008 Page 113
Appendix A. Individual Task Statistics | Test Results
Table A.4 2007 CAPA Task Statistics: Level IV 2007 CAPA Task Statistics: Level IV
Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level IV Content Version Task Number AIS Polyserial Pearson Flag English–Language Arts 01/08* 1 2.95 .68 0.65
01/08* 2 2.37 .72 0.69 OP 3 3.16 .75 0.72 OP 4 2.64 .86 0.84 OP 5 2.28 .76 0.70 OP 6 2.85 .86 0.84 OP 7 2.82 .82 0.80 OP 8 2.87 .81 0.80
01/08* 9 3.11 .66 0.63 01/08* 10 2.56 .73 0.70
OP 11 2.22 .75 0.70 OP 12 2.32 .71 0.66 02 1 3.10 .61 0.57 02 2 3.26 .64 0.61 H 02 9 3.42 .66 0.60 H 02 10 2.80 .57 0.56 R 03 1 3.33 .72 0.65 H 03 2 3.04 .71 0.66 03 9 2.98 .68 0.64 03 10 2.06 .80 0.74 04 1 3.16 .67 0.62 04 2 2.43 .76 0.73 04 9 2.95 .66 0.63 04 10 1.85 .76 0.65 05 1 1.64 .64 0.55 05 2 2.54 .76 0.74 05 9 2.45 .65 0.63 05 10 2.67 .55 0.52 R 06 1 3.03 .74 0.71 06 2 3.00 .64 0.60 06 9 2.30 .75 0.70 06 10 3.43 .67 0.60 H 07 1 2.65 .66 0.64 07 2 3.37 .62 0.58 H 07 9 2.51 .72 0.68 07 10 2.78 .68 0.67
Mathematics OP 13 2.51 .78 0.70 OP 14 3.20 .70 0.60 H OP 15 2.69 .76 0.66 OP 16 2.75 .81 0.67
01/08* 17 1.70 .69 0.57 01/08* 18 2.03 .63 0.55
OP 19 1.84 .82 0.68 01/08* 20 3.04 .55 0.52 R
OP 21 2.65 .78 0.69 01/08* 22 2.31 .75 0.69
February 2008 CAPA Technical Report | Spring 2007 Administration Page 114
Appendix A. Individual Task Statistics | Test Results
2007 CAPA Task Statistics: Level IV Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level IV Content Version Task Number AIS Polyserial Pearson Flag OP 23 3.07 .81 0.73 OP 24 2.84 .81 0.75 02 17 2.34 .72 0.68 02 18 2.78 .50 0.45 R 02 20 1.87 .75 0.63 02 22 2.97 .54 0.51 R 03 17 2.41 .78 0.72 03 18 2.21 .72 0.69 03 20 1.33 .68 0.61 03 22 2.99 .60 0.59 04 17 3.06 .53 0.52 R 04 18 2.45 .79 0.76 04 20 3.06 .79 0.75 04 22 2.36 .61 0.57 05 17 2.68 .79 0.75 05 18 1.31 .55 0.49 R 05 20 2.08 .80 0.73 05 22 1.28 .57 0.45 R 06 17 2.09 .63 0.56 06 18 2.79 .76 0.70 06 20 1.38 .69 0.51 06 22 2.21 .74 0.65 07 17 2.25 .66 0.61 07 18 2.76 .73 0.68 07 20 2.11 .71 0.63 07 22 2.30 .54 0.49 R
Science 01/03/05/07* 25 3.16 .67 0.63 OP 26 2.38 .79 0.69 OP 27 2.61 .84 0.80 OP 28 2.34 .75 0.69
01/03/05/07* 29 2.79 .65 0.62 OP 30 2.54 .79 0.72
01/03/05/07* 31 2.29 .74 0.69 OP 32 2.71 .77 0.69
01/03/05/07* 33 2.50 .66 0.62 01/03/05/07* 34 2.57 .71 0.68 01/03/05/07* 35 2.90 .70 0.67 01/03/05/07* 36 2.36 .74 0.70 02/04/06/08* 25 2.35 .60 0.57 02/04/06/08* 29 2.25 .62 0.57 02/04/06/08* 31 2.21 .60 0.55 02/04/06/08* 33 2.46 .65 0.61 02/04/06/08* 34 2.75 .68 0.63 02/04/06/08* 35 2.05 .65 0.59 02/04/06/08* 36 2.78 .66 0.61
*This task appeared on more than one field-test form.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 115
Appendix A. Individual Task Statistics | Test Results
Table A.5 2007 CAPA Task Statistics: Level V 2007 CAPA Task Statistics: Level V
Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level V Content Version Task Number AIS Polyserial Pearson Flag English-Language Arts 01/07* 1 2.73 .43 0.41 R
OP 2 2.00 .82 0.72 OP 3 2.70 .78 0.75 OP 4 2.65 .86 0.84 OP 5 2.88 .85 0.83 OP 6 2.96 .77 0.76
01/07* 7 2.92 .71 0.70 OP 8 3.09 .81 0.79
01/07* 9 2.07 .74 0.64 01/07* 10 3.40 .76 0.72 H
OP 11 2.99 .81 0.80 OP 12 2.60 .88 0.85
02/08* 1 3.05 .55 0.52 R 02/08* 7 3.31 .70 0.66 H 02/08* 9 2.15 .68 0.60 02/08* 10 2.93 .73 0.72
03 1 2.88 .69 0.64 03 7 2.81 .75 0.73 03 9 2.71 .63 0.59 03 10 2.95 .76 0.72 04 1 2.38 .62 0.59 04 7 2.55 .70 0.69 04 9 3.12 .76 0.73 04 10 2.18 .76 0.70 05 1 3.27 .73 0.70 H
05/06* 7/10 2.85 .85 0.84 05 9 2.60 .80 0.78 05 10 1.91 .74 0.63 06 1 2.91 .63 0.59 06 7 3.62 .70 0.58 H 06 9 2.69 .62 0.59
Mathematics OP 13 2.77 .81 0.70 01/07* 14 2.97 .73 0.69
OP 15 2.58 .75 0.63 OP 16 3.04 .84 0.74 OP 17 2.67 .83 0.69
01/07* 18 2.35 .73 0.69 OP 19 2.18 .86 0.62
01/07* 20 2.75 .82 0.76 OP 21 2.16 .87 0.76
01/07* 22 2.17 .71 0.67
February 2008 CAPA Technical Report | Spring 2007 Administration Page 116
Appendix A. Individual Task Statistics | Test Results
2007 CAPA Task Statistics: Level V Flag Values: A = Low Average Task Score • R = Low Correlation with Criterion • O = High Percent of Omits/Not Responding • H = High Average Task Score
Level V Content Version Task Number AIS Polyserial Pearson Flag OP 23 1.76 .86 0.79 OP 24 2.10 .82 0.78
02/08* 14 2.83 .64 0.58 02/08* 18 2.32 .74 0.71 02/08* 20 2.89 .67 0.60 02/08* 22 3.00 .74 0.67
03 14 2.66 .75 0.70 03 18 2.93 .69 0.60 03 20 2.82 .77 0.70 03 22 2.64 .61 0.55 04 14 2.26 .64 0.56 04 18 2.49 .82 0.79 04 20 2.11 .70 0.66 04 22 2.78 .77 0.70 05 14 2.84 .63 0.59 05 18 2.18 .75 0.69 05 20 2.82 .78 0.72 05 22 2.63 .69 0.63 06 14 2.18 .68 0.64 06 18 2.97 .74 0.68 06 20 3.04 .80 0.72 06 22 2.93 .76 0.68
Science OP 25 2.23 .80 0.73 OP 26 2.15 .78 0.72 OP 27 3.21 .83 0.80 H
01/03/05/07* 28 2.38 .72 0.65 01/03/05/07* 29 2.56 .72 0.69
OP 30 2.75 .85 0.82 01/03/05/07* 31 3.12 .74 0.72
OP 32 3.25 .84 0.81 H 01/03/05/07* 33 3.01 .76 0.75 01/03/05/07* 34 2.72 .67 0.63 01/03/05/07* 35 2.56 .73 0.71 01/03/05/07* 36 1.93 .70 0.59 02/04/06/08* 28 2.32 .57 0.53 R 02/04/06/08* 29 3.02 .71 0.69 02/04/06/08* 31 2.17 .66 0.60 02/04/06/08* 33 2.62 .71 0.67 02/04/06/08* 34 2.20 .64 0.56 02/04/06/08* 35 3.18 .75 0.71 02/04/06/08* 36 2.75 .66 0.59
*This task appeared on more than one field-test form.
CAPA Technical Report | Spring 2007 Administration February 2008 Page 117