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
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