Table of Contents

Table of Contents

Introduction

Getting Started

1. Statistical Vocabulary

Descriptive Statistics; Measures of Central Tendency; Measures of Dispersion; Distributions and Their Shapes; Conclusion; Exercises

2. Reasoning with Probability

Outcome Tables; Contingency Tables; Conclusion; Exercises

3. Probabilities in the Long Run

Sampling; Repetitious Sampling with R; Using Sampling Distributions and Quantiles to Think about Probabilities; Conclusion; Exercises

4. Introducing the Logic of Inference Using Confidence Intervals

Exploring the Variability of Sample Means with Repetitious Sampling; Our First Inferential Test: The Confidence Interval; Conclusion; Exercises

5. Bayesian and Traditional Hypothesis Testing

The Null Hypothesis Significance Test; Replication and the NHST; Conclusion; Exercises

6. Comparing Groups and Analyzing Experiments

Frequentist Approach to ANOVA; Bayesian Approach to ANOVA; Finding an Effect; Conclusion; Exercises

7. Associations between Variables

Inferential Reasoning about Correlation; Null Hypothesis Testing on the Correlation; Bayesian Tests on the Correlation Coefficient; Categorical Associations; Bayesian Approach to Chi-Squared Test; Conclusion; Exercises

8. Linear Multiple Regression

Bayesian Approach to Linear Regression; A Linear Regression Model with Real Data; Conclusion; Exercises

9. Interactions in ANOVA and Regression

Interactions in ANOVA; Interactions in Multiple Regression; Bayesian Analysis of Regression Interactions; Conclusion; Exercises

10. Logistic Regression

A Logistic Regression Model with Real Data; Bayesian Estimation of Logistic Regression; Conclusion; Exercises

11. Analyzing Change over Time

Repeated Measures Analysis; Time-Series Analysis; Exploring a Time Series with Real Data; Finding Change Points in Time Series; Probabilities in Change-Point Analysis; Conclusion; Exercises

12. Dealing with Too Many Variables

Internal Consistency Reliability; Rotation; Conclusion; Exercises

13. All Together Now

The Big Picture

APPENDIX A. Getting Started with R

Running R and Typing Commands; Installing Packages; Quitting, Saving, and Restoring; Conclusion

APPENDIX B. Working with Data Sets in R

Data Frames in R; Reading Data Frames from External Files

APPENDIX C. Using dplyr with Data Frames

References

Index

About the Author