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# Statistical Reasoning in Sports

## Second EditionJosh Tabor; Chris Franklin

©2019*Statistical Reasoning in Sports, Second Edition* offers a unique and powerful way to introduce the principles of statistical reasoning. Authors Tabor and Franklin make statistics exciting using high interest sports (and life) examples that show how statistics is a part of everyday life.

## Table of Contents

About the Authors

Preface

Chapter 1: Testing Claims in Sports

Is Steph Curry a Streaky Shooter?

- Section 1: Modeling Athletic Performance
- Section 1 Exercises
- Section 2: Simulating Athletic Performance
- Section 2 Exercises
- Section 3: Other Applications (Its not just sports)
- Section 3 Exercises
- Chapter 1 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 1 Investigative Project

Chapter 2: Analyzing Categorical Variables

Did Cam Newton Choke in the Super Bowl?

- Section 1: Displaying Categorical Data
- Section 1 Exercises
- Section 2: Tests for a Single Percentage
- Section 2 Exercises
- Section 3: Simulating with Technology and the State-Simulate-Conclude Process
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 2 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 2 Investigative Project

Chapter 3: Comparing Two Percentages

Do NFL Teams have a Home-Field Advantage?

- Section 1: Summarizing Relationships between Two Categorical Variables
- Section 1 Exercises
- Section 2: Tests for a Difference in Percentages
- Section 2 Exercises
- Section 3: Simulating with Technology and the State-Simulate-Conclude Process
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 3 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 3 Investigative Project

Chapter 4: Experiments

Can You Visualize Success?

- Section 1: Experiments and Observational Studies
- Section 1 Exercises
- Section 2: Designing Experiments
- Section 2 Exercises
- Section 3: Analyzing Experiments with Two Categorical Variables
- Section 3 Exercises
- Section 4: Type I and Type II Errors
- Section 4 Exercises
- Section 5: Other Applications (Its not just sports)
- Section 5 Exercises
- Chapter 4 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 4 Investigative Project

Chapter 5: Conditional Probability and Strategy in Sports

Should You Go for It on Fourth Down?

- Section 1: Probability and Two-Way Tables
- Section 1 Exercises
- Section 2: Conditional Probability and Independence
- Section 2 Exercises
- Section 3: Tree Diagrams and Multiplication Rules
- Section 3 Exercises
- Section 4: Win Probability and Strategy in Sports
- Section 4 Exercises
- Section 5: Other Applications (Its not just sports)
- Section 5 Exercises
- Chapter 5 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 5 Investigative Project

Chapter 6: Analyzing Quantitative Variables

Do Rested Teams Play Better Defense?

- Section 1: Displaying Quantitative Data
- Section 1 Exercises
- Section 2: Measuring Center and Variability
- Section 2 Exercises
- Section 3: Outliers and Boxplots
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 6 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 6 Investigative Project

Chapter 7: Comparing Two Means or Medians

Do Sports Drinks Keep You Hydrated?

- Section 1: Tests for a Difference Between Two Means
- Section 1 Exercises
- Section 2: Technology and the State-Simulate-Conclude Process
- Section 2 Exercises
- Section 3: Tests for a Difference Between Two Medians
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 7 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 7 Investigative Project

Chapter 8: Exploring Paired Data

Can a swimsuit make you faster?

- Section 1: Analyzing Paired Data
- Section 1 Exercises
- Section 2: Tests for a Mean Difference
- Section 2 Exercises
- Section 3: Technology and the State-Simulate-Conclude Process
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 8 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 8 Investigative Project

Chapter 9: More Measures of Variability

Which 7-Iron is More Consistent?

- Section 1: Measuring Variability with the Mean Absolute Deviation
- Section 1 Exercises
- Section 2: Measuring Variability with the Standard Deviation
- Section 2 Exercises
- Section 3: Tests for a for a Difference in Two Standard Deviations
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 9 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 9 Investigative Project

Chapter 10: Standardized Scores and Normal Distributions

Who Should I Draft for my Fantasy Baseball Team?

- Section 1: Standardized Scores (
*z*-scores) - Section 1 Exercises
- Section 2: Normal Distributions and the 68-95-99.7 Rule
- Section 2 Exercises
- Section 3: Normal Distribution Calculations
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 10 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 10 Investigative Project

Chapter 11: Sampling with Confidence

What is Americas Favorite Sport to Watch?

- Section 1: Sampling and Bias
- Section 1 Exercises
- Section 2: Sampling Variability and Confidence Intervals
- Section 2 Exercises
- Section 3: Estimating
*ABILITY*with Confidence Intervals - Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 4 Exercises
- Chapter 11 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 11 Investigative Project

Chapter 12: Relationships between Two Quantitative Variables

Teeing Off: Hit it Long or Hit it Straight?

- Section 1: Displaying Relationships
- Section 1 Exercises
- Section 2: Correlation
- Section 2 Exercises
- Section 3: Testing the Correlation
- Section 3 Exercises
- Section 4: Other Applications (Its not just sports)
- Section 5 Exercises
- Chapter 12 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 12 Investigative Project

Chapter 13: Using Relationships to Make Predictions

How Can We Build a Better Baseball Team?

- Section 1: Predictions and Residuals
- Section 1 Exercises
- Section 2: Least-Squares Regression Lines
- Section 2 Exercises
- Section 3: Assessing a Least-Squares Regression Line
- Section 3 Exercises
- Section 4: Regression to the Mean
- Section 4 Exercises
- Section 5: Other Applications (Its not just sports)
- Section 5 Exercises
- Chapter 13 Summary

- What Did You Learn?
- Chapter Review Exercises
- Chapter 13 Investigative Project