Mathematical Statistics and Data Analysis

This is the first text in a generation to re-examine the purpose of the mathematical statistics course. The book’s approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book’s descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts that are set in abstract settings.

Table of Contents

1. Probability

2. Random Variables

3. Joint Distributions

4. Expected Values

5. Limit Theorems

6. Distributions Derived from the Normal Distribution

7. Survey Sampling

8. Estimation of Parameters and Fitting of Probability Distributions

9. Testing Hypotheses and Assessing Goodness of Fit

10. Summarizing Data

11. Comparing Two Samples

12. The Analysis of Variance

13. The Analysis of Categorical Data

14. Linear Least Squares

APPENDIX A: Common Distributions

APPENDIX B: Tables