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BIOSTATS 540 - Fall 2022
Introduction to Biostatistics
Biostatistics and Epidemiology
UMass Amherst
Instructor: Carol Bigelow




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Course Unit Pages

1. Summarizing Data

2. Data Visualization

3. Probability: Basics

4. Probabilities in Epidemiology

5. Populations and Samples

6. Bernoulli and Binomal Distributions

7. Normal Distribution

8. Statistical Literacy: Estimation and Hypothesis Testing

9. One Sample Inference

10. Two Sample Inference

11. Chi Square Tests

12. Simple Linear Regression and Correlation

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Unit 6. Bernoulli and Binomial Distributions

1. Introduction
2. Learning Module
3. Activities
4. Resources

(1) Introduction
Video (Source: Steve Stein) Permutations (video, 6:37)
Video (Source: Steve Stein) Combinations (vs Permutations) (video, 4:11)
Video (Source: Stat_v1) Understanding Expectation of a Random Variable (video, 7:01)
Video (Source: Khan Academy) Combination Formula (video, 11:16)
ppt INTRODUCTION (Source: Whitlock and Schluter ) For now just read slides 1-17 of 07 - Proportions (pdf, 35 slides)
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(2) Learning Module
BIOSTATS 540 Fall 2022 Course Notes 6. Bernoulli and Binomial Distributions (pdf, 26 pp)
Video (Source: Khan Academy) Statistical Expectation (video, 4:32)
Video (source: Open Intro Video Series) Introduction to the Binomial Distribution (video, 8:46)
Homework Questions (5 of them) embedded in course notes here: (pdf, 26 pp)
due Friday October 28, 2022
Last date for submission with NO LOSS OF points: Monday October 31, 2022
Last date for submission for credit (-20 points): Friday November 4, 2022
SOLUTIONS to homework questions (pdf, 5 pp)
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(3) Activities
Now You Try Unit 6 - Bernoulli & Binomial Self-Evaluation Quiz Questions (pdf, 1 pp)
SOLUTIONS (pdf, 5 pp)
WORKED EXAMPLES (Source: Mine Cetinkaya-Rundel, Duke University) The Binomial Distribution (pdf, 28 slides)
WORKED EXAMPLES (Source: StatTrek.com) Tutorial: The Binomial Distribution (html)
WORKED EXAMPLES (Source: UCLA SOCRE Statistics) AP Statistics: The Binomial Distribution (html)
 
 

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ArtofStat.com
Interactive Web App (Source: Agresti, Franklin, Klingenberg. Statistics: The Art and Science of Learning From Data) Binomial Distribution (html)
 

R
Video (Source: MarinStats Lectures - R)
R Tutorial 3:1 The Binomial Distribution in R (video, 3:56)
 

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(4) Resources
VIDEO (Source: Steve Stein) Permutations (video, 6:37)
VIDEO (Source: Steve Stein) Combinations (vs Permutations) (video, 4:11)
VIDEO (Source: Stat_v1) Understanding Expectation of a Random Variable (video, 7:01)
Video (Source: Khan Academy) Factorial and Counting Seat Arrangements (video, 5:32)
Video (Source: Khan Academy) Permutation Formula (video, 7:34)
Video (Source: Khan Academy) Introduction to Combinations (video, 6:18)
Video (Source: Khan Academy) Combination Formula (video, 11:16)
VIDEO (Source: Khan Academy) The Binomial Distribution (video 11:00)
Artofstat.com CALCULATOR (Source: Agresti, Franklin, Klingenberg. Statistics: The Art and Science of Learning From Data) Binomial Distribution (html)
CALCULATOR (Source: Vassar Stats) Binomial Distribution Probabilities Calculator (html)
(Source: Ismor Fischer, University of Wisconsin) Permutations and Combinations, or "How to Count" (pdf, 6 slides)
(Source: UCLA SOCRE Statistics) AP Statistics: Expectation (Mean) and Variance (html)

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This is the course web site for BIOSTATS 540W, Biostatistics and Epidemiology.
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Send comments or questions about this web site to cbigelow@schoolph.umass.edu.
Page updated: October 18, 2022