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DOCUMENT RESUME
ED 069 723 TM 002 175
AUTHOR Rookey, T. Jerome111:2LE Correlates of Achievement in an IPI School.INSTITUTION Research for Better Schools, Inc., Philadelphia,
Pa.REPORT NO RBS-72-5-3PUB DATE Jul 72NOTE 29p.
EDRS PRICE MP-$0.65 HC-$3.29DESCRIPTORS Academic Achievement; Affective Behavior; Attitudes;
Cognitive Development; Creative Ability; *Grade 5;*Individualized Instruction; Individualized Programs;Language Arts; Mathematical Concepts; MultipleRegression Analysis; *Programed Instruction; SelfConcept; Socioeconomic Background; StatisticalAnalysis; Test Interpretation; *Tests
IDENTIFIERS Commonwealth of Pennsylvania; PennsylvaniaQuestionnaire; Stanford Achievement Test
ABSTRACTAn attempt was made to determine what factors relate
to achievement in language arts, mathematics, and certain attitudesin an individualized programmed instruction school. A total of 87fifth grade pupils were tested both in the Fall and. Spring using the.
Commonwealth of Pennsylvania's Pennsylvania Questionnaire and theStanford Achievement Test. These data as well as pupil socioeconomicdata were used to form a correlation matrix..The data were thensubjected to a stepwise multiple regression routine using varicrosposttests as the dependent variable. The results indicated that forthe Stanford test data, the achievement continuum was consistent andsignificant, and suggested that there is a need for a greateremphasis on pupil creativity in language arts. For arithmetic, thegeneral achievement level in the Fall was less important toArithmetic Application than to Concepts or Comprehension* theCreative Ability test 'figured prominently in all three subtests whilethe Creative Attitude test played a'minor role. .For non-Stanforddata, academic achievement seemed to be a necessary correlate forCreative Ability but not for Creative Attitude; self-concept wasinfluenced mainly by affective rather than cognitive variables, andattitude toward school measured slightly with everything. A total of18 multiple regression tables are included.. (JS) #
CORRELATES OF ACHIEVEMENTIN AN IPI SCHOOL
July, 1972
RESEARCH
EVALUATION
MEASUREMENT
RESEARCH FOR BETTER SCHOOLS INC.1.700 MARKET STREET, SUITE 1700
PHILADELPHIA, PA. 19103
CORRELATES OF ACHIEVEMENTIN AN IPI SCHOOL
July, 1972
(72-5-3)
T. Jerome Rookey
John A. DowProgram Director
Individualizing Learning Program
Robert G. ScanlonExecutive Director
Research for Better Schools, Inc.1700 Market Street
Philadelphia, Pa. 19103
4
a
4 .
Sig
7
A. Problem
'It is of interest to the idesigners of curricula to know what
factors relate to pupil achievement. The question addressed in this
study was what factors relate to achievement in Language Arts, Mathe-
matics, and certain attitudes in an IPI school.
. .Method
Pupils were tested in the Fall and Spring using the Commonwealth
of Pennsylvania's Pennsylvania Questionnaire and the Stanford Achieve-
ment Test. This data, along with pupil socioeconomic data were sub-
mitted to form a correlation matrix. The data were then subjected to a
Stepwise Multiple Regression routine using various posttests as the de-
pendent variable.
The sample was all 87 fifth-grade pupils attending a central
Pennsylvania IPI school.
A .05 level of significance was accepted.
C. Results
(1) Language Arts 1
The three variables studied as representative of the Language 4
1
4
Arts were. the three Stanford Achievement Subtests: Word Meaning, Para- 4
graph Meaning and Language. The posttest of each was used as a depend-
ent variable.
Consulting the correlation matrix for Word Meaning Posttest, it
can be seen that all of the Stanford scores except the pretest of mathV
comprehension related significantly. It can also be seen that the pre-
.1)
test and posttest of both Creative Ability and Creative Attitude re-
lated significantly. The posttest of Citizenship and Vocational Matu-
rity also related significantly to Word Meaning.
The Multiple Regression on Word Meaning posttest is presented
in Table 2. The variables entered are listed in the order they entered.
The Multiple R is a cumulative index. It can be seen that Paragraph 1
Meaning posttest was the greatest contributor with the Fall summated
Stanford score as the second contributor. After these first two entries,
there was very little gain in accountable variance.
In the correlation matrix, it can be seen that all of the Stan-
ford scores-related significantly to the posttest of Paragraph Meaning.
Both the pretest and posttest of Creative Ability related significantly.
The pretest of Creative Attitude related significantly. The posttests
of Citizenship and Vocational Maturity related significantly to the post-
test of Paragraph Meaning.
From Table 3 it is apparent that the posttests of Language,
Word Meaning, and Arithmetic Application are the most potent contribu-
tors to the Multiple Regression. Note that Arithmetic Application pre-
test and posttest precede suchvariables as Creativity and Attitude To-
ward School.
The correlations with the Language posttest followed a pattern
similar to Paragraph Meaning and Word Meaning. All of the Stanford
.scores correlated significantly. Both the pretest and posttest of Crea-
tive Ability and Vocational Maturity correlated significantly. The pre-
test of Creative Attitude correlated significantly. There were signifi-
cant relationships with the posttests of Citizenship and Preparation for
a Changing World.
4
Ji
It can be seen on Table 4 that the Fall summated Stanford score
was the best predictor of the Language posttest. The Paragraph Meaning
posttest was the second contributor after which the efficiency of the
entrants was minimal.
(2) Mathematics
The three variables studied as indicators,of mathematic achieve-
ment were the three Stanford Achievement Subtests: Arithmetic Compre-
hension, Arithmetic Concepts, and Arithmetic Application. The posttest
of each was used as a dependent variable.
From the correlation matrix, it can be seen that all of the
Stanford scores correlated significantly with the posttest of Arithmetic
Comprehension. Both the pretest and posttest of Vocational Maturity cor-
related significantly. The posttests, Creative Ability, Attitude Toward
School, and Preparation-for a Changing World, related significantly also.
The Multiple Regression reported on Table 5 shows that the Fall
summated Stanford score is the single largest contributor. The addition
of the Creative Ability posttest raises the Multiple R considerably.
In the correlation matrix the other Stanford scores again all
related, significantly. to the dependent variable, Arithmetic Concepts.
The only non - Stanford score to correlate significantly was Creative.
Ability which related. for both pretest and posttest.
The Multiple Regression for Arithmetic Concepts posttest, Table
6, shows that the Fall summated Stanford score is the single largest
contributor. The posttests of Arithmetic Application, Self- Concept, and
Vocational Maturity are potent entrants.
5
Inspecting the correlation matrix 'or Arithmetic Application
posttest, it can be seen that all of the Stanford scores relate signi-
ficantly. The pretest and posttest of Creative Ability correlate sig-
nificantly as well as the posttest of Preparation for Changing World.
The Multiple Regression depicted in Table 7 shows that Para-
graph Meaning is the most important contributor, even more important
than the pretest of Arithmetic Applications. Creative Ability posttest
is also a reasonably large contributor.
(3) Non-Stanford Data
The first non-Stanford score examined was Creative Ability.
On the correlation matrix, it can be seen that the Creative Ability
posttest related significantly to all of the pretests and posttests of"-
the Stanford Achievement Test. It also related to the posttest of Pre-
paration for a Changing World.
In Table 8, it can be seen that Arithmetic Comprehension post-
test was the single most potent contributor. The pretest and gain
scores of CreatIve Ability followed Arithmetic Comprehension.
The second non-Stanford variable was Creative Attitude. The
only Stanford variable which related significantly in the correlation
matrix was the posttest of Word Meaning. The posttest and gain scores
of Self-Concept and Vocational Maturity related significantly to the.
Creative Attitude posttest. The posttests of Citizenship and Prepara-
tion for a Changing World, as well as the gain score of Attitude Toward
School, related significantly. The measures own pretest also related
significantly.
From Table 9, it can be seen that Vocational Maturity posttest
was by far the greatest contributor to the Multiple R of Creative Atti-
tude. The measures own gain score followed.7 '
A
The third variable examined was the Self-Concept posttest.
From the correlation matrix, it can be seen that the posttest and gain
of Creative Attitude correlated significantly. The posttests of Atti-
tude Toward School, Attitude Toward Others, Citizenship, Vocational
Maturity, and Preparation for Change all related significantly to the
posttest of Self-Concept.
In Table 10, it is shown that Creative Attitude posttest was
the largest contributor.to the Multiple R. The posttest of Attitude
Toward Others also was a large contributor.
The posttest of Attitude Toward School correlated significantly
with three of the Stanford Language Arts pretests: Word Meaning, Para-
graph Meaning, and Language. It also-correlatedsignificantly with the
pretest and posttest of ArithMetic Application and.the pretest of Arith-
metic Comprehension. Both the pretest and posttest of Vocational Matu-
rity related significantly to Attitude Toward School. The Creative Atti-
tude pretest and Citizenship posttest also correlated significantly with
Attitude Toward School.
As can be seen. in Table 11, there are more variables contribut-
ing less when summed than in,any of the previously examined tables. The
Citizenship posttest and Creative Attitude pretest are the initial two
variables, but they only explain 28% of the variance. In fact,. the sum
of the 15 variables only explains 56% of the variance in the posttest of
Attitude Toward School.
(4) Other Data
Other variables reported but -not discussed here-are Vocational
Maturity, Citizenship, Attitude Toward Others, Preparation for Change,
Appreciation of Human Accomplishment, Stanford Spelling, and Stanford
Word Study Skills.
:04
AV:
D. Discussion
(1) Language Arts
The prevalence of Stanford scores as significant correlates of
all three subtests leads one to consider achievement as its own best
friend. There is simply no way to get around the fact that the continuum
of achievement is both consistent and significant in the Language Arts.
The consistent display of significant contribution by both
Creative Attitude and. Creative Ability in all three subtests suggerts a
need for great emphasis on pupil creativity in the Language Arts curri-
cula.
(2) Mathematics
It is interesting that the various attitude, measures played such
a small part in the variance of all three subtests. Only in Arithmetic
Concepts could attitude be said to play a major role at all.
As in Language Arts, the preponderant contributor was achieve-
ment on the other Stanford subtests. One should note that on Arithmetic
Comprehension and. Arithmetic Concepts the Fall summated Stanford score is
the major contributor. On. Arithmetic Applications the Fall summated
Stanford score does not appear in the Multiple Regression equation at all.
This seems to indicate that the general achievement level in the Fall is
less important to Arithmetic Application than to Concepts or Comprehen-
sion.
The Creative Ability test figured highly in all three subtests
while the Creative Attitude test played a very minor role.
(3) Non-Stanford Data
For Creative Ability, it would seem that academic achievement
is a necessary correlate.
For Creative Attitude, it would seem that academic achievement
is definitely not a correlate. The affective milieu would seem to de
scribe the necessary conditions of Creative Attitude.
SelfConcept seems to be influenced predominantly by affective
rather than cognitive variables. However, the role of the cognitive is
potent enough to preclude its inclusion as a functionary.
The Attitude Toward School measured slightly with everything
and greatly with nothing. There seems to be a gestalt comprised of many
interacting fragments.
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-:0,-.1149d-;42(.703 .076
-./04, -ay,-:Jeo
-Tat al
7/19 "../71 .46 /0.5 -rote lea .o0-0 1,207-104 :0,0,074
Math Compre-
hension Gain
Math
Concepts Gain
Math Appli-
cation Gain
Vocational
WW
ISchool
Attitude Gain
Tine I.P.I.
.e.r6 5.8.k-
J °Lit-v.4 *JP .t.t
":es'A .//4 /71 .t.IL
-.OS
.oftt-A
r..c
.0.10 .0/5 .037
e
311
a.g
S-80.
4iU.S0
A 3M
41-
101,6s.oge -7.11,
o34
-r.:17:;;;;;;;:"..."'
Table 2
MULTIPLE REGRESSION ON WORD MEANING (POST)
Variable Entered Multiple R
Paragraph (Post) 0.7965
SAT Sum 0.8319
Arithmetic Comp. (Pre) 0.8447
Word Study Skills (Post) 0.8570
PACT (Post) 0.8670
Language (Post) 0.8707
Arithmetic Application (Post) 0.8756
Arithmetic Application (Pre) 0.8799
Citizenship (Post) 0.8847
PACT (Pre) 0.8881
Citizenship (Pre) 0.8907
Human Accomplishment (Post) 0.8921
Attitude Toward School (Post) 0.8939
Self-Conception (Post) 0.8963
Vocational Maturity (Pre) 0.8989
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 3
MULTIPLE REGRESSION ON PARAGRAPH-POST
Variable Entered Multiple R
Linguage (Post) 0.8003
Word Meaning (Post) 0.8486
Arithmetic Application (Post) 0.8771
Arithmetic Application (Pre) 0.8864
Word Meaning (Pre) 0.8970
PACT (Post) 0.9031
Human Accomplishment (Pre) 0.9074
Citizenship (Pre) 0.9104
Arithmetic Comp. (Pre) 0.9131
Citizenship (Post) 0.9169
Attitude Toward School (Post) 0.9201
PACT (Pre) 0.9244.
Arithmetic Concept (Post) 0.9264
Human Accomplishment (Post) 0.9283
Arithmetic Comp. (Post) 0.9302
14
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 4
MULTIPLE REGRESSION ON LANGUAGE-POST
Variable Entered Multiple R
SAT Sum .. 0.8180
Paragraph (Post) 0.8647
Spelling (Post) 0.8765.
Language (Pre) 0.8882
Words Skill Study (Post) 0.8973
Human Accomplishment (Pre) 0.9056
Arithmetic Concepts (Post) 0.9126
Attitude Toward School (Pre) 0.9214
Attitude Toward School (Post) 0.9249
Self-Concept (Pre) 0.9283
Attitude Toward Others (Pre) 0.9306
Spelling (Pre) 0.9323
SAT Sum 0.9323
Preparation for Change (Pre) 0.9341
Citizenship (Pre) 0.9357
* Variable removed
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 5
MULTIPLE REGRESSION ON ARITHMETIC COMP. POST
Variable Entered Mulitiple R
SAT Sum 0.6392
Fanani (Post) 0.7244
Word Meaning (Pre) 0.7467
Arithmetic Concepts (Post) 0.7659
Prepare for Change (Post) 0.7741
Paragraph (Pre) 0.7792
Fanani (Pre) 0.7832
IPI Years 0.7863
RACE 0.7945
Word Study Skills (Pre) 0.7980
Arithmetic Application (Post) 0.8006
Citizenship (Post) 0.8030
PACT (Pre) 0.8044
Self-Concept (Post) 0.8060
Language (Pre) 0.8074
MULTIPLE REGRESSION ON ARITHMETIC CONCEPTS-POST
SAT Sum 0.7209
Arithmetic Application (Post) 0.7710
Self-Concept (Post) 0.7795
Vocational Maturity (Post) 0.7986
Spelling (Post) 0.8061
Language (Post) 0.8172
Preparation for Change (Post) 0.8243.
Arithmetic Comp. (Post) 0.8317
Human Accomplishment (Pre) 0.8363
Attitude Toward Others (Post) . 0.8412_
Word Meaning (Pre) 0.8443
Word Study Skills (Pre) 0.8461
Vocational Maturity (Pre) 0.8479
PACT (Post) 0.8491
Attitude Toward Schools (Pre) 0.8511
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 7
MULTIPLE REGRESSION ON ARITHMETIC APPLICATION-POST
Variable Entered Multiple R
Paragraph (Post) 0.7524
Arithmetic Application (Pre) 0.8184
Fanani (Post) 0.8461
Arithmetic Concepts (Post) 0.8590
Word Meaning (Post) 0.8652
Language (Post) 0.8706
Fanani Gain 0.8770
Arithmetic Concepts (Pre) 0.8818
PACT (Pre) 0.8866
Health (Pre) 0.8896
Preparation for Change (Post) 0.8916
Self-Concept (Post) 0.8932
Human Accomplishment (Post) 0.8944
Attitude Toward School (Post) 0.8955
Citizenship (Post) 0.8965
T111.11111.111^1,4--
2
3
4
5
6
7
8
9
10
11
12
13
14
Variable Entered
Table 8
MULTIPLE REGRESSION ON FANANI -POST
Multiple R
Arithmetic Comp. (Post) 0.5909
Fanani (Pre) 0.6692
Fanani Gain 0.7565
Human Accomplishment (Post) 0.7760
Attitude Toward School (Pre) 0.7941
WSS (Pre) 0.8065
Vocational Maturity (Pre) 0.8175
Paragraph (Pre) 0.8236
Attitude Toward Others (Post) 0.8288_
IPI Years 0.8336 "\\,.....
Paragraph (Post) 0.8363
Word Meaning (Post) 0.8417
Vocational Maturity (Post) 0.8471
PACT (Post) 0.8549
Attitude Toward School (Post) 0.8586
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Viriable Entered
Table 9
MULTIPLE REGRESSION ON PACT POST
Multiple R
Vocational Maturity (Post) 0.8217
PACT Gain 0.9110
Attitude Toward School (Pre) 0.9186
Vocational Maturity (Pre) 0.9248
Attitude Toward Others (Post) 0.9307
Attitude Toward School (Post) 0.9368
Arithmetic Applic. (Pre) 0.9400
Self-Concept (Pre) 0.9425
PACT (Pre) 0.9445
Self-Concept (Post) 0.9461
Citizenship (Pre) 0.9472
Language (Pre) 0.9482
Spelling (Post) 0.9506
Fanani (Post) 0.9514
Arithmetic Comp. (Post) 0.9523
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
.Table 10
MULTIPLE REGRESSION ON SELF-CONCEPT POST
Variable Entered Multiple R
PACT (Post) 0.6016
Attitude Toward Others (Post) 0.6942
Vocational Maturity (Post) 0.7122
Attitude Toward School (Pre) 0.7356
Self-Concept (Pre)i
0.7479
Attitude Toward School (Post) 0.7664
Spelling (Pre) 0.7775
Arithmetic Concept (Post) 0.7922
Health (Pre) 0.7977
Spelling (Post), . 0.8016
Arithmetic Application (Post) 0.8066'
SAT Sum (Pre) 0.8092
Paragraph (Pre) 0.8138
Arithmetic Concepts (Pre) 0.8172
Citizenship (Pre) 0.8204
A
4
5
6
7
.8
9
10
11
12
13
14
Table 11
MULTIPLE REGRESSION ON ATTITUDE TOWARD SCHOOL-POST
Variable Entered Multiple It
Citizenship (Post) 0.4575
PACT (Pre) 0.5339
Health 0.5744
Self-Concept (Post) 0.6136
Paragraph (Post) 0.6404
Hutan Accomplishment (Post) 0.6652
Arithmetic Concepts (Pre) 0.6852
Language (Pre) 0.6978
Arithmetic Comp. (Pre) 0.7060
PACT Gain . 0.7151
Attitude Toward Others (Post) 0.7231
Attitude Toward Others (Pre) 0.7318
Arithmetic Concepts (Post) 0.7409
Word Meaning (Post) 0.7467
Human Accomplishment: (Pre) 0.7513
5
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 12
MULTIPLE REGRESSION ON VOCATIONAL MATURITY
Variable Entered Multiple R
PACT (Post) 0.8217
Attitude Toward School (Pre) 0.8428
Vocational Maturity (Pre) 0.8535
Human Accomplishment (Pre) 0.8654
Attitude Toward Others (Post) 0.8750
Preparation for Change (Post) 0.8849
Attitude Toward Others 0.8919
Citizenship (Pre) 0.8982
Citizenship (Post) .0.9042
Self-Concept (Post) 0.9091
Arithmetic Application (Pre) 0.9120
PACT Gain 0.9145
Fanani (Post) 0.9168
Fanani (Pre) 0.9188
Arithmetic Comprehension (Post) 0.9203
23
3
6
7
8
9
10
11
12
13
14
15
Table 13
MULTIPLE REGRESSION ON CITIZENSHIPPOST
Variable Entered Multiple R
k
Vocational (Post) 0.6237
Attitude Toward School (Post) 0.7027
Language (Pre) 0.7355
Preparation for Change 0.7554
Arithmetic Concepts (Pre) 0.7680
Paragraph (Post)
4.m.0.7824
PACT (Post) 0.7927
Human Accomplishment (Post) 0.8000
Arithmetic Comp. (Pre) 0.8055
Word Meaning (Post) 0.8118
Arithmetic Concepts (Post) 0.8171
Spelling (Post) 0.8232
PACT (Pre) 0.8278
Preparation for Change (Post) 0.8323
Arithmetic Application (Pre) 0.8359
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Table 14
MULTIPLE REGRESSION ON ATTITUDE TOWARD OTHER-S(f6§f)----
Variable Entered Multiple R
Self-Concept (Post) 0.4448
Attitude Toward Others (Pre) 0.5415
Vocational Maturity (Post) 0.5966
Language (Post) 0.6309
Arithmetic Comp. (Pre) 0.6623
Fanani (Gain) 0.6846
Paragraph (Pre) 0.7037
PACT (Post) 0.7177
Attitude Toward School (Pre) 0.7392
Word Meaning (Pre) 0.7511
Citizenship (Pre) 0.7613
Preparation for Change (Post) 0.7725 .
Self-Concept (Pre) 0.7818
Arithmetic Concepts (Post) . 0.7880
Human Accomplishment (Post) 0.7936
MULTIPLE REGRESSION ON PREPARATION FOR CHANGE
Variable Entered Multiple R
IPI Years 0.3915
Arithmetic Comp. (Post) 0.4996
Vocational Maturity (Post) .0.5570
Fanani (Pre) 0.5796
(Post) 0.5969
Self-Concept (Post) 0.6090
PACT Gain 0.6252
Arithmetic Application (Pre) 0.6332
Fanani (Post) ,0.6388
Attitude Toward School (Pre) 0.6438
Human Accomplishment (Post) .0.6492
Spelling (Pre) 0.6542
Spelling (Post) . 0.6657
Word Study (Post) . 0.6746
Arithmetic Application (Post) 0.6791
1
2
3
4
5
6
7
8
9
10
1
1
1
1
1
Table 16
MULTIPLE REGRESSION ON HUMAN ACCOMPLISHMENT
Variable Entered Multiple R
Fanani Gain 0.4897
Attitude Toward School (Post) 0.5361
Fanani (Post) 0.5554
Fanani (Pre) 0.5955
Vocational Maturity (Pre) 0.6214
Paragraph (Pre) . 0.6412
Self-Concept (Pre) 0.6571
Attitude Toward Others (Post) 0.6699
Arithmetic Concepts (Pre) 0.6789
Word Meaning (Pre) 0.6903
Human Accomplishment (Pre) 0.6981
Word Meaning (Post) 0.7048
Self-Concept (Post) . 0.7118
Attitude Toward School (Pre) :0.7223
PACT (Post) . 0.7314
2
3
4
5
6
7
8
9
1
11
1
1
1
1
Table 17
MULTIPLE REGRESSION ON SPELLING-POST
Variable Entered Multiple R
Language (Post) 0.7750.
Spelling (Pre) . 0.8112
Word Study Skills (Pre) 0.8368
IPI Years .0.8424
Preparation for Change 0.8504
Paragraphs.(Post) 0.8538
Arithmetic Concepts (Post) .0.8577
SAT Sum . 0.8623
Word Skill Study (Pre) 0.8666
Arithmetic Application (Pre) 0.8693
Paragraph (Pre), 0.8733
PACT (Pre) 0.8752
Vocational (Pre) ._ .0.8777
Word Meaning (Pre) 0.8792
i Fanani (Post) 0.8810
2
3
4
5
6
7
8
9
10
11
12
1
1
1
Table 18
MULTIPLE REGRESSION ON WORD STUDY SKILL-POST
Variable Entered Multiple R
Word Study Skill (Post) 0.7445
Paragraph (Post) 0.8124
Spelling (Post) 0.8302
Spelling (Fre) 0.8432
Human Accomplishment 0.8530
Self Concept (Pre) 0.8607
Word Meaning (Post) 0.8673
Language (Pre) 0.8730
PACT (Pre) 0.8787
SAT Sum 0.8829. .
Citizenship (Post) 0.8869
Preparation for Change,
0.8907
Language (Post) 0.8943
Word Meaning (Pre) 0.8980
Preparation for Change (Post) 0.9009