Statistics

BYRON WILLIAM BROWN JR., PhD, was a professor in and former chair of the Department of Health Policy and Research at Stanford University. For over 30 years, he made significant contributions to the university's research and teachings on various areas of study such as cancer treatment and the design of clinical trials. Dr. Brown is now deceased.MYLES HOLLANDER, PhD, is Robert O. Lawton Distinguished Professor of Statistics at Florida State University in Tallahassee. He served as editor of the Theory and Methods Section of the Journal of the American Statistical Association from 1993-96.

• CHAPTER 1: Introduction 1CHAPTER 2: Elementary Rules of Probability 13CHAPTER 3: Populations, Samples, and the Distribution of the Sample Mean 371. Populations and Distributions 382. Sampling from Finite Populations 643. The Distribution of the Sample Mean 72CHAPTER 4: Analysis of Matched Pairs Using Sample Means 851. A Confidence Interval for the Treatment Effect 862. A Hypothesis Test for the Treatment Effect 963. Determining the Sample Size 102CHAPTER 5: Analysis of the Two-Sample Location Problem Using Sample Means 1091. A Confidence Interval for the Difference Between the Population Means 1102. A Hypothesis Test for the Difference Between the Population Means 1163. Determining Sample Sizes 1194. Testing the Assumption of Equal Population Variances 122CHAPTER 6: Surveys and Experiments in Medical Research 131Application of Statistics in Laboratory and Clinical Studies 131Randomized Clinical Experiments 134Ethics and Statistical Aspects of the Clinical Trial 137Retrospective Studies, Prospective Studies, and Randomized Clinical Experiments 140CHAPTER 7: Statistical Inference for Dichotomous Variables 149A Confidence Interval for a Success Probability p 150Hypothesis Tests for a Success Probability p 156CHAPTER 8: Comparing Two Success Probabilities 173A Confidence Interval for the Difference Between the Success Probabilities 174A Hypothesis Test for the Difference Between the Success probabilities 178CHAPTER 9: Chi-Squared Tests 195The Chi-Squared Test for k Probabilities (Goodness of Fit) 196r x k Tables: Chi-Squared Tests of Homogeneity and Independence 201A Test for Trend in Proportions 211CHAPTER 10: Analysis of & Sample Problems 225The Completely Randomized Experiment 226The Randomized Blocks Experiment 241CHAPTER 11: Linear Regression and Correlation 2611. Linear Regression 2622. Correlation 2813. Rank Correlation 292CHAPTER 12: Analysis of Matched Pairs Using Ranks 3091. The Wilcoxon Signed Rank Test 3102. A Nonparametric Confidence Interval Based on the Signed Rank Test 317CHAPTER 13: Analysis of the Two-Sample Location Problem Using Ranks 3271. The Wilcoxon Two-Sample Rank Sum Test 3282. A Nonparametric Confidence Interval Based on the Rank Sum Test 333CHAPTER 14: Methods for Censored Data 341APPENDIX A: Glossary 361APPENDIX B: Answers to Selected Questions and Solutions to Selected Problems 375APPENDIX C: Mathematical and Statistical Tables 407INDEX 451