Mathematical Statistics with Resampling and R

CONTENTS

Preface

1   Data and Case Studies

1.1 Case Study: Flight Delays

1.2 Case Study: Birth Weights of Babies

1.3 Case Study: Verizon Repair Times

1.4 Sampling

1.5 Parameters and Statistics

1.6 Case Study: General Social Survey

1.7 Sample Surveys

1.8 Case Study: Beer and Hot Wings

1.9 Case Study: Black Spruce Seedlings

1.10 Studies

1.11 Exercises

2   Exploratory Data Analysis

2.1 Basic Plots

2.2 Numeric Summaries

2.2.1 Center

2.2.2 Spread

2.2.3 Shape

2.3 Boxplots

2.4 Quantiles and Normal Quantile Plots

2.5 Empirical Cumulative Distribution Functions

2.6 Scatter Plots

2.7 Skewness and Kurtosis

2.8 Exercises

3   Hypothesis Testing

3.1 Introduction to Hypothesis Testing

3.2 Hypotheses

3.3 Permutation Tests

3.3.1 Implementation Issues

3.3.2 One-Sided and Two-Sided Tests

3.3.3 Other Statistics

3.3.4 Assumptions

3.4 Contingency Tables

3.4.1 Permutation Test for Independence

3.4.2 Chi-Square Reference Distribution

3.5 Chi-Square Test of Independence

3.6 Test of Homogeneity

3.7 Goodness-of-Fit: All Parameters Known

3.8 Goodness-of-Fit: Some Parameters Estimated

3.9 Exercises

4   Sampling Distributions

4.1 Sampling Distributions

4.2 Calculating Sampling Distributions

4.3 The Central Limit Theorem

4.3.1 CLT for Binomial Data

4.3.2 Continuity Correction for Discrete Random Variables

4.3.3 Accuracy of the Central Limit Theorem

4.3.4 CLT for Sampling Without Replacement

4.4 Exercises

5   The Bootstrap

5.1 Introduction to the Bootstrap

5.2 The Plug-In Principle

5.2.1 Estimating the Population ...