Nonparametric Statistical Methods For Complete and Censored Data
Purchasing Options
Features
- Presents techniques important for students in biostatistics, pharmaceutical statistics, business, psychology, and the social sciences
- Discusses nonparametric correlation and regression methods and methods for data analysis using random samples
- Includes discussions on correlation and regression methods and clinical equivalence with binary data
- Supplies appendices, problems, and references at the end of each chapter
Summary
Balancing the "cookbook" approach of some texts with the more mathematical approach of others, Nonparametric Statistical Methods for Complete and Censored Data introduces commonly used non-parametric methods for complete data and extends those methods to right censored data analysis. Whenever possible, the authors derive their methodology from the general theory of statistical inference and introduce the concepts intuitively for students with minimal backgrounds. Derivations and mathematical details are relegated to appendices at the end of each chapter, which allows students to easily proceed through each chapter without becoming bogged down in a lot of mathematics.
In addition to the nonparametric methods for analyzing complete and censored data, the book covers optimal linear rank statistics, clinical equivalence, analysis of block designs, and precedence tests. To make the material more accessible and practical, the authors use SAS programs to illustrate the various methods included.
Exercises in each chapter, SAS code, and a clear, accessible presentation make this an outstanding text for a one-semester senior or graduate-level course in nonparametric statistics for students in a variety of disciplines, from statistics and biostatistics to business, psychology, and the social scientists.
Prerequisites: Students will need a solid background in calculus and a two-semester course in mathematical statistics.
Table of Contents
Procedures for a Single Sample
Introduction
Binary Response
Complete Data on Continuous Responses
Procedures for Censored Data
Appendix A: Mathematical Supplement
Appendix B: Computer Programs
Problems
References
Procedures for Two Independent Samples
Introduction
Two Sample Problem with Binary Responses
Studies with Categorical Responses
Methods for Continuous Responses
Linear Rank Statistics for the Two Sample Problem
Analysis of Censored Data
Asymtotic Relative of Efficiency (Pitman's Efficiency)
Appendix A: Mathematical Supplement
Appendix B: Computer Programs
Problems
References
Procedures for Paired Samples
Introduction
Analysis of Paired Binary Responses
Complete Data for Continuous Responses
Asymtotic Relative Efficiency
Analysis of Censored Data
Appendix A: Mathematical Supplement
Appendix B: Computer Programs
Problems
References
Procedures for Several Independent Samples
Introduction
Discrete Responses
Continuous Responses with Complete Data
Multiple Comparison Procedures
Jonckheere's Test for Completely Ordered Alternatives
Comparison of Several Treatments with a Control
Censored Data
Appendix A: Mathematical Supplement
Problems
References
Analysis of Block Design
Introduction
RCB Designs with Binary Responses
RCB Designs with Continuous Censored Data
Rank Tests for RCB Designs
General Block Designs with Continuous Uncensored Data
A Multiple Comparison Procedure Using Friedman's Ranks
Page Test for Ordered Alternatives in RCB Designs
RCB Designs with Censored Data
Appendix A: Mathematical Supplement
Appendix B: Computer Programs
Problems
References
Independence, Correlation, and Regression
Introduction
Analysis of a Bivariate Sample
Testing for Correlation between Continuous Variables
Linear Regression
Logistic Regression
Procedures for Censored Data
Appendix A: Mathematical Supplement
Appendix B: Computer Programs
Problems
References
Computer Intensive Methods
Introduction
Permutation Tests and Randomization Tests
Bootstrap Methods
References
Solutions to Selected Problems
Author Index
Subject Index
Editorial Reviews
"[This book] has several strengths … One is its level of presentation. Neither overly simplistic in explanation nor overly burdened with distracting proofs, the book accomplishes the rare feat of coherently representing some complex issues in nonparametric analysis. … An additional strength is the ease with which the book can be used as a text-book for a graduate level nonparametric statistics class."
- Journal of the Royal Statistical Society, Issue 167 (4)
"[This] book will be useful for students in biostatistics, pharmaceutical statistics, business, psychology, and the social sciences. … The examples discussed in each chapter help in understanding the concepts … . The book is well written … ."
- Mathematical Reviews, Issue 2005d
The coverage is quite complete and includes some methods not often see in other books. Desu and Raghavarao have compiled a solid set of basic methods for binomial/categorical response data and distribution-free methods.
-Technometrics, Nov 2004
"This is a very readable book authored by two leading researchers in nonparametric statistical methods. The book is intended to fill a gap between nonparametric statistical methods for complete data and nonparametric statistical methods for censored data. …It is clearly written and has an impressive topic coverage. …The topic coverage is comprehensive, and what is particularly valuable is the focus on the transition from complete data methods to censored data methods. …There is also little doubt that the book will fill an important need as a reference book for nonparametric methods. The book will be a useful addition to texts available on these topics and it will be especially helpful to those individuals seeking a grounding in nonparametric methods."
-Biometrics, Robert F. Woolson, Department of Biostatistics, Bioinformatics and Epidemiology, Medical University of South Carolina, Charleston, USA
