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Statistical Methods for Rates and Proportions, 3rd Edition

ISBN: 978-1-118-62561-3
800 pages
June 2013
Statistical Methods for Rates and Proportions, 3rd Edition (1118625617) cover image


"This book is to be recommended as a standard shelf reference . . . and as a ‘must’ to be read by all who wish to better use and understand data involving dichotomous or dichotomizable measurements."
American Journal of Psychiatry

In the two decades since the second edition of Statistical Methods for Rates and Proportions was published, evolving technologies and new methodologies have significantly changed the way today’s statistics are viewed and handled. The explosive development of personal computing and statistical software has facilitated the sophisticated analysis of data, putting capabilities that were once the domain of specialists into the hands of every researcher.

The Third Edition of this important text addresses these changes and brings the literature up to date. While the previous edition focused on the use of desktop and handheld calculators, the new edition takes full advantage of modern computing power without losing the elegant simplicity that made the text so popular with students and practitioners alike. In authoritative yet clear terminology, the authors have brought the science of data analysis up to date without compromising its accessibility.

Features of the Third Edition include:

  • New material on sample size calculations and issues in clinical trials, and entirely new chapters on single-sample data, logistic regression, Poisson regression, regression models for matched samples, the analysis of correlated binary data, and methods for analyzing fourfold tables with missing data
  • The addition of many new problems, both numerical and theoretical
  • Answer sections for numerical problems and hints for tackling the theoretical ones
  • A frequentist approach enhanced by the inclusion of empirical Bayesian methodology where appropriate

Combining the latest research with the original studies that established the previous editions as leaders in the field, Statistical Methods for Rates and Proportions, Third Edition will continue to be an invaluable resource for students, statisticians, biostatisticians, and epidemiologists.

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Table of Contents


Preface to the Second Edition.

Preface to the First Edition.

1. An Introduction to Applied Probability.

2. Statistical Inference for a Single Proportion.

3. Assessing Significance in a Fourfold Table.

4. Determining Sample Sizes Needed to Detect a Difference Between Two Proportions.

5. How to Randomize.

6. Comparative Studies: Cross-Sectional, Naturalistic, or Multinomial Sampling.

7. Comparative Studies: Prospective and Retrospective Sampling.

8. Randomized Controlled Trials.

9. The Comparison of Proportions from Several Independent Samples.

10. Combining Evidence from Fourfold Tables.

11. Logistic Regression.

12. Poisson Regression.

13. Analysis of Data from Matched Samples.

14. Regression Models for Matched Samples.

15. Analysis of Correlated Binary Data.

16. Missing Data.

17. Misclassification Errors: Effects, Control, and Adjustment.

18. The Measurement of Interrater Agreement.

19. The Standardization of Rates.

Appendix A. Numerical Tables.

Appendix B. The Basic Theory of Maximum Likelihood Estimation.

Appendix C. Answers to Selected Problems.

Author Index.

Subject Index.

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Author Information

JOSEPH L. FLEISS, PhD, headed the Division of Biostatistics at Columbia University’s Mailman School of Public Health in New York for seventeen years. He is also the author of a previous book, The Design and Analysis of Clinical Experiments, also from Wiley.

BRUCE LEVIN, PhD, is the current Chair of the Department of Biostatistics at Columbia University. His research interests include categorical data analysis, clinical trials, sequential experimentation, statistics in law, and reproductive epidemiology.

MYUNGHEE CHO PAIK, PhD, is a professor in the Department of Biostatistics at Columbia University’s Mailman School of Public Health.

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"A well written specialized book by Fleiss et al. illustrates in detail the definitions and importance of rates in health and other data analysis." (Journal of Statistical Computation and Simulation, April 2005)

"…the definitive text of context, method and application for the efficient analysis of rates and proportions…" (Statistics in Medicine, Vol 24 (17), 15th September 2005)

"…well written in a thoroughly readable style. I highly recommend this book…" (Statistical Methods in Medical Research, Vol. 14, 2005)

"…persons who regularly encounter this type of data would certainly want this book available as one of their desk-top references." (Technometrics, May 2004)

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