Confidence Intervals for Proportions and Related Measures of Effect Size illustrates the use of effect size measures and corresponding confidence intervals as more informative alternatives to the most basic and widely used significance tests. The book provides you with a deep understanding of what happens when these statistical methods are applied in situations far removed from the familiar Gaussian case.
Drawing on his extensive work as a statistician and professor at Cardiff University School of Medicine, the author brings together methods for calculating confidence intervals for proportions and several other important measures, including differences, ratios, and nonparametric effect size measures generalizing Mann-Whitney and Wilcoxon tests. He also explains three important approaches to obtaining intervals for related measures. Many examples illustrate the application of the methods in the health and social sciences. Requiring little computational skills, the book offers user-friendly Excel spreadsheets for download at www.crcpress.com, enabling you to easily apply the methods to your own empirical data.
Table of Contents
Hypothesis Tests and Confidence Intervals. Means and Their Differences. Confidence Intervals for a Simple Binomial Proportion. Criteria for Optimality. Evaluation of Performance of Confidence Interval Methods. Intervals for the Poisson Parameter and the Substitution Approach. Difference between Independent Proportions and the Square-and-Add Approach. Difference between Proportions Based on Individually Paired Data. Methods for Triads of Proportions. Relative Risk and Rate Ratio. The Odds Ratio and Logistic Regression. Screening and Diagnostic Tests. Widening the Applicability of Confidence Interval Methods: The Propagating Imprecision Approach. Several Applications of the MOVER and PropImp Approaches. Generalised Mann–Whitney Measure. Generalised Wilcoxon Measure. References. Appendices.
Robert G. Newcombe is a professor in the Institute of Primary Care and Public Health at Cardiff University School of Medicine, where he teaches medical statistics and epidemiology and is involved in medical and dental research. Dr. Newcombe is a member of the editorial board of Statistical Methods in Medical Research and serves on the Cardiff & Vale Research Review Service and Wales Ambulance Service Trust Research & Development panels.
"…this is a fantastic book, and I would recommend it highly, especially for medical researchers and statisticians in the medical field."
—Vance W. Berger, Journal of Biopharmaceutical Statistics, 2014
"This is an interesting and well-written book, with a lot to recommend it. … the examples alone comprise a valuable teaching resource. … discussions are enlivened by reference to real-life practical issues, examples, and interesting perspectives. … there will be something of value, to think about or enjoy, for almost all readers who like statistics in general or data analysis in particular. It is a pleasure to recommend it."
—Bruce Brown, Australian & New Zealand Journal of Statistics, 2014
"This book offers an excellent summary on how to construct and use confidence intervals for proportions and related measures of effect size (proportion difference, ratio of proportions, and odds ratio etc.). A unique feature of the book is that the most materials stem from the author’s own methodology research and collaborative work in medical research. The author put a lot effort to bridge the gap between statistical methodology and application through detailed real examples and insightful comments."
—Journal of Agricultural, Biological, and Environmental Statistics, Volume 19, Number 2, 2013