Introductory Statistics and Analytics: A Resampling Perspective

CONTENTS

Preface

Acknowledgments

Introduction

1 Designing and Carrying Out a Statistical Study

1.1 A Small Example

1.2 Is Chance Responsible? The Foundation of Hypothesis Testing

1.3 A Major Example

1.4 Designing an Experiment

1.5 What to Measure—Central Location

1.6 What to Measure—Variability

1.7 What to Measure—Distance (Nearness)

1.8 Test Statistic

1.9 The Data

1.10 Variables and Their Flavors

1.11 Examining and Displaying the Data

1.12 Are we Sure we Made a Difference?

Appendix: Historical Note

1.13 Exercises

2 Statistical Inference

2.1 Repeating the Experiment

2.2 How Many Reshuffles?

2.3 How Odd is Odd?

2.4 Statistical and Practical Significance

2.5 When to use Hypothesis Tests

2.6 Exercises

3 Displaying and Exploring Data

3.1 Bar Charts

3.2 Pie Charts

3.3 Misuse of Graphs

3.4 Indexing

3.5 Exercises

4 Probability

4.1 Mendel's Peas

4.2 Simple Probability

4.3 Random Variables and their Probability Distributions

4.4 The Normal Distribution

4.5 Exercises

5 Relationship between Two Categorical Variables

5.1 Two-Way Tables

5.2 Comparing Proportions

5.3 More Probability

5.4 From Conditional Probabilities to Bayesian Estimates

5.5 Independence

5.6 Exploratory Data Analysis (EDA)

5.7 Exercises

6 Surveys and Sampling

6.1 Simple Random Samples

6.2 Margin of Error: Sampling Distribution for a Proportion

6.3 Sampling Distribution for a Mean

6.4 A Shortcut—the Bootstrap

6.5 Beyond Simple Random Sampling

6.6 Absolute Versus Relative Sample Size

6.7 Exercises

7 Confidence Intervals

7.1 ...