Learning Through Practice: Doing Statistics

Learning Through Practice: Doing Statistics

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Boise State University

Kathrine Johnson, Ph.D

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Description

This workbook was written to support an introduction to statistical methods for all science students. It can be used in class with collaborative exercises or at home for self-study.

Dr. Kathrine Johnson received her PhD in Applied Probability from the University of Idaho and now teaches math at Boise State University. She teaches statistics and encourages students to learn statistical reasoning to help them understand how important these skills are throughout their life past graduation.

1) Each section begins with a “Getting Started” content section and Pre-Activity questions

2) Application activities have scaffolded questions to enhance learning through application of newly acquired knowledge

PREFACE

MODULE 1 DESCRIBING DATA

Activity 1-1 Statistical Reasoning

Activity 1-2 Graphs and Measures of Center

Activity 1-3 Measures of Spread and Location and Boxplots

Practice: Module 1

MODULE 2 PROBABIlITY

Activity 2-1 Empirical and Theoretical Probability

Activity 2-2 The Normal Distribution

Activity 2-3 Other Probability Distributions and Applications

Practice: Module 2

MODULE 3 COLLECTING DATA

Activity 3-1 Introduction to Data Collection

Activity 3-2 Experimental vs. Sampling Designs

Practice: Module 3

MODULE 4 INFERENCE FOR A POPULATION MEAN

Activity 4-1 Introduction to Sampling Distributions and Hypothesis Testing Using Bootstrapping

Activity 4-2 Introduction to The Central Limit Theorem and Hypothesis Testing

Activity 4-3 The One-Sample t-Test for a Population Mean

Activity 4-4 p-Values and Type I and II Errors

Activity 4-5 Introduction to Confidence Intervals

Activity 4-6 Choosing the Correct Inferential Procedure 1.0

Practice: Module 4

MODULE 5 INFERENCE FOR A POPULATION PROPORTION

Activity 5-1 Introduction to the Binomial Distribution and Inference for a Population Proportion Using the Normal Approximation

Activity 5-2 Inference for a Population Proportion Using Bootstrapping

Activity 5-3 Choosing the Correct Inferential Procedure 2.0

Practice: Module 5

MODULE 6 INFERENCE FOR TWO OR MORE MEANS

Activity 6-1 The Paired t-Test and the 2-Sample t-Tests

Activity 6-2 Choosing the Correct Procedure 3.0

Activity 6-3 One-Way Analysis of Variance (1-way ANOVA)

Activity 6-4 Repeated Measures Analysis of Variance

Activity 6-5 Choosing the Correct Inferential Procedure 4.0

Practice: Module 6

MODULE 7 LINEAR REGRESSION WITH INFERENCE FOR SLOPE

Activity 7-1 Introduction to Linear Regression

Activity 7-2 Inference for Slope in Regression

Activity 7-3 Cautions in Regression

Activity 7-4 Introduction to Multivariate Regression

Practice: Module 7

MODULE 8 INFERENCE FOR COUNTS AND PROPORTIONS

Activity 8-1 Two-Way Tables & the Chi-Square Test for Independence

Activity 8-2 The Chi-Square Tests and Cautions

Practice: Module 8

Appendix: RStudio Reference Sheet