Table of contents

Statistics from Evidence to Inference

An undergraduate path to reasoning clearly with data, chance, and uncertainty

Read each section in order. Every title can be opened as a TheoryTrace document.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: What Statistics Is For
• Chapter 2: Data, Measurement, and Study Design
• Chapter 3: Experiments, Observational Studies, and Causality
• Chapter 4: Describing Distributions
• Chapter 5: The Mean, Standard Deviation, and Standard Units
• Chapter 6: The Normal Curve and Its Uses
• Chapter 7: Relationships Between Two Variables
• Chapter 8: Correlation and Regression
• Chapter 9: Regression Pitfalls and Model Checking
• Chapter 10: Probability as a Model of Chance
• Chapter 11: Counting, Independence, and Conditional Reasoning
• Chapter 12: Random Variables and Expected Value
• Chapter 13: The Binomial Model and Repeated Trials
• Chapter 14: Sampling and the Logic of Surveys
• Chapter 15: Sampling Distributions and the Standard Error
• Chapter 16: The Central Limit Theorem
• Chapter 17: Confidence Intervals
• Chapter 18: Tests of Significance
• Chapter 19: Power, Errors, and Practical Significance
• Chapter 20: Inference for Counts and Categories
• Chapter 21: Comparing Groups
• Chapter 22: Regression Inference
• Chapter 23: Statistical Thinking in the Real World
• Chapter 24: Responsible Use of Statistics
• Conclusion