Nonparametric Statistical Methods For Complete and Censored Data: 1st Edition (Hardback) book cover

Nonparametric Statistical Methods For Complete and Censored Data

1st Edition

By M.M. Desu, D. Raghavarao

Chapman and Hall/CRC

384 pages | 3 B/W Illus.

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Description

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.

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

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

Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General