A First Course in Statistics for the Sciences

A Collaborative Statistics Program Focused on Undergraduate Research

Barbara Ward

Collaboration MajorsDepartment of Mathematics & Computer Science

– Mathematics– Statistics Minor

Department of Psychology

– Psychology– Neuroscience

Department of Biology– Environmental Science– Biochemistry & Molecular Biology– Chemistry– Physics – Medical Imaging Technology – Biology– Science & Engineering

Management– Pre-Pharmacy – Chemistry for the Health Sciences– Pharmaceutical Studies

Elementary Statistics for the Sciences Class Data Set Height Forearm Length Foot Length Hand Span Arm Span Head Circumference Navel height Number of siblings Number of siblings your mother

had Number of siblings your father had Hair Color (blonde, red, brown,

black) • Eye Color (brown, blue, green,

gray, hazel)

Hand Dominance (left handed or right handed?)

Eye Dominance Gender Major Classification What was the length in minutes of your

last cell phone call? How many pairs of flip flops do you

own? How many hours a day do you listen to

music? Type of music you prefer (country,

classical, rock, jazz, contemporary) Do you prefer Coke or Pepsi? Which of the primary colors do you

prefer (red, blue or yellow)

Elementary Statistics for the Sciences Project Topics

• Summarizing and Displaying Data

• Confidence Intervals and Hypothesis Testing

• Correlation and Linear Regression

• Analysis of Variance

Biostats Laboratory

Class # Lab Topic

1 Collecting, Classifying, Organizing

data

2 Graphs and Descriptive Statistics

3 Binomial Distribution

4 Poisson Distribution

5 Normal Distribution

• Confidence Intervals

7. Hypothesis Testing

Class # Lab Topic

8 Correlation and Regression 9 Chi-square Goodness of Fit

Chi-square Test for Independence 10 Two-Sample Hypothesis Testing and

ANOVA 11 Nonparametric Statistics 12 Resampling

13 Review for Lab Practicum 14 Lab Practicum

Biostats Laboratory: Cicadas

Ventral view of the abdomen of three 13-year cicadas: Left to right – tredecim, tredecassini, and tredecula.

References:1. Periodical Cicadas in Alabama. Bulletin 635. Alabama Agricultural Experiment Station. Auburn, AL. 1998 2. “13-Year Cicadas.” Steven Murphree, Ph.D., Professor of Biology, Belmont University. Spring 1998.

Biostatistics Lab: Poisson Model with Yeast Cells

1 5 2 6 3 3 4 6 4 7

6 7 6 2 2 3 3 2 2 2

5 5 1 1 0 1 4 3 3 4

3 4 2 3 1 5 3 1 3 4

2 2 3 3 1 4 2 2 3 3

3 4 1 1 1 1 2 2 1 4

2 3 0 1 1 2 5 5 5 1

1 4 4 6 4 1 3 1 3 4

1 1 3 2 5 3 2 5 3 3

5 3 4 3 3 6 2 3 2 3

Biostats Laboratory: 2-Sample Confidence Intervals and Hypothesis Testing

Student # Pulse (Before) Pulse (After) Temp(Before) Temp(After)

1 56 68 97.8 98.2

2 60 120 97.9 98.4

3 60 118 98.5 97.8

4 52 104 97.6 98.2

5 48 80 97.1 98.7

Biostats Lab: Chi-Square Tests with Dihybrid Corn

Purple/ smooth

Purple/ wrinkled

yellow/ smooth

yellow/wrinkled

observed 350 103 99 49

expected 33.003 112.668 112.668 37.563

Does it Fit Mendelian Ratio 9:3:3:1?

Purple Yellow

SmoothObs 350Exp (338.43)

Obs 99Exp (110.57)

449

WrinkledObs 103Exp (114.57)

Obs 49Exp (37.43)

152

453 148 n = 601

Are Color and Texture Independent?

Psychology Statistics Lab: Reaction Time and Cell Phones

Subject Control Reaction Time (No Cell Phone)

Treatment Reaction Time (Cell Phone) Gender

1 .38 .48 F

2 .35 .52 M

3 .43 .80 M

4 .45 .57 F

http://faculty.washington.edu/chudler/java/reacttime.html

Questions1)      What did you have for dinner last night?2)      What did you get for Christmas?3)      What is your favorite movie?4)      What is your favorite color?5)      Where’d you get your shirt?6)      What did you have for lunch?7)      Tell me how to get to your house from the school.

•Achievement Anxiety Test (AAT) (Alpert & Haber, 1960)

•The Computer Anxiety Scale (Cohen & Waugh, 1989)

•State Anxiety Inventory (Spielberger, et al., 1970)

•Personality type A/B (Jenkins, Ayzanski, Rosenman, 1971)

•Locus of Control (Rotter, 1966)

•Sidedness(Coren, 1992)

Psychology Statistics Lab: Analyzing Personality Scales with A Correlation Study of College Students

http://www.uncc.edu/pagoolka/correlproject.html

Psychology Statistics Lab: Chi Square Tests:

Saturday Morning Late Afternoon Family Hour

Pro-Social Obs 38Exp (34.28)

Obs 32Exp (27.93)

Obs 36Exp (43.80) 106

Anti-Social Obs 16Exp (19.72)

Obs 12Exp (16.07)

Obs 33Exp (25.20) 61

54 44 69 167

Does Hour of the Day Affect Types of Behavior in Television Commercials?

Undergraduate Research Assessing a Math Inquiry Course: Do Students Gain an Appreciation for

Mathematics?: qualitative analysis, factor analysis, chi-square tests, t-tests

The Effects of Testosterone Treatment on Conditioned Responses in Zebrafish: nonparametric statistical analysis

The Effects of Cellular Phone Conversations on Gait Characteristics of Young Adults: MANOVA, ANOVA, Bonferroni post hoc tests

Diversity of Soil Bacteria Around Native and Exotic Plants: chi-square tests, ANOVA

Examining the Impact of Human Activity on Swan Lake MANOVA, ANOVA, Tukey’s post hoc tests, factorial ANOVA

Nicotine Facilitates Learning in Zebrafish, Canio rerio: dosage response curve, independent samples t-tests

A Statistical Study of Portfolios Built Using Technical and Fundamental Analysis : Fama-French-Carhart four-factor multiple regression analysis model

Undergraduate Research Testing the Relative Relatedness and In breeding in the Montgomery Bell State

Park Termites: Wright’s F Statistics, bootstrapping

The Efficacy of Selected Botanically-Derived Biorepellents on Aedes Aegypti Mosquitoes in Human Volunteer Laboratory Assays: general linear model ANOVA, post hoc t-tests

A Demographic Analysis of the Rainbow Trout Population on the Caney Fork River: one way ANOVA, linear regression, Ws equations

Investigating a Possible Connection Between Pathogenic Avoidance and Reproductive Output of C elegans: correlation analysis, chi-square tests, fully nested ANOVA.

Rates of Herbivory in Exotic and Native Species and the Correlation between Age of Leaf and Occurrence of Herbivory: nonparametric statistics, Mann-Whitney tests.

Comparison of Photosynthesis and Transpiration Rates in Lonicera Maackii and Symphoricarpos Orbiculatus in Response to Environmental Factors: fully nested ANOVA

Many Thanks to the Co-Authors and Creators of Biology and Psychology Statistics Labs

• Ginger Holmes Rowell, Department of Mathematical Sciences, Middle Tennessee State University

• Robert Grammer, Department of Biology, Belmont University

• Steve Murphree, Department of Biology, Belmont University

• Lonnie Yandell, Department of Psychology, Belmont University