Permutation Methods: A Distance Function Approach by Kenneth J. Berry (English)

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Permutation Methods by Kenneth J. Berry, Paul W. Mielke

This is the second edition of the comprehensive treatment of statistical inference using permutation techniques. This updated version places increased emphasis on the use of alternative permutation statistical tests based on metric Euclidean distance functions.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

Most commonly-used parametric and permutation statistical tests, such as the matched-pairs t test and analysis of variance, are based on non-metric squared distance functions that have very poor robustness characteristics. This second edition places increased emphasis on the use of alternative permutation statistical tests based on metric Euclidean distance functions that have excellent robustness characteristics. These alternative permutation techniques provide many powerful multivariate tests including multivariate multiple regression analyses. In addition to permutation techniques described in the first edition, this second edition also contains various new permutation statistical methods and studies that include resampling multiple contingency table analyses, analysis concerns involving log-linear models with small samples, an exact discrete analog of Fisher's continuous method for combining P-values that arise from small data sets, multiple dichotomous response analyses, problems regarding Fisher's Z transformation for correlation analyses, and multivariate similarity comparisons between corresponding multiple categories of two samples.

Notes

Classical statistical analysis depends on many assumptions about the nature of data and the population from which the samples were drawn. Permutation tests depend only on the data gathered and, although computationally intensive, provide powerful alternatives to conventional analysis techniques. Most commonly-used parametric and permutation statistical tests, such as the matched-pairs t test and analysis of variance, are based on non-metric squared distance functions that have very poor robustness characteristics. This Second Edition places increased emphasis on the use of alternative permutation statistical tests based on metric Euclidean distance functions that have excellent robustness characteristics. These alternative permutation techniques provide many powerful multivariate tests including multivariate multiple regression analyses.

Back Cover

Most commonly-used parametric and permutation statistical tests, such as the matched-pairs t test and analysis of variance, are based on non-metric squared distance functions that have very poor robustness characteristics. This second edition places increased emphasis on the use of alternative permutation statistical tests based on metric Euclidean distance functions that have excellent robustness characteristics. These alternative permutation techniques provide many powerful multivariate tests including multivariate multiple regression analyses. In addition to permutation techniques described in the first edition, this second edition also contains various new permutation statistical methods and studies that include resampling multiple contingency table analyses, analysis concerns involving log-linear models with small samples, an exact discrete analog of Fisher's continuous method for combining P-values that arise from small data sets, multiple dichotomous response analyses, problems regarding Fisher's Z transformation for correlation analyses, and multivariate similarity comparisons between corresponding multiple categories of two samples. Paul W. Mielke, Jr. is Professor of Statistics at Colorado State University, and a fellow of the American Statistical Association. Kenneth J. Berry is Professor of Sociology at Colorado State University.

Table of Contents

Description of MRPP.- Additional MRPP Applications.- Description of MRBP.- Regression Analysis, Prediction, and Agreement.- Goodness-of-Fit Tests.- Contingency Tables.- Multisample Homogeneity Tests.- Selected Permutation Studies.

Review

From the Reviews:"[T]his is a nicely written book that contains many important and useful topics, and I am certan that many pracitioners and researchers will find the new edition beneficial." (Technometrics, May 2008, Vol. 50 No. 2)"This is a very well-written text that extensively covers permutation-based tests in a general framework. It has been revised and extended by nearly 100 pages since the 2001 edition. …This book is packed with real-data examples and dozens of simulation studies exploring the properties of permutation-based tests and contrasting them with their typical parametric 'competitors.' The authors do not shy away from presenting the mathematical underpinnings of the methods, and do so in a very transparent and easy-to-follow manner so there is sufficient detail to implement the methods in your favorite software … . That is not a concern if you are familiar with FORTRAN-77, as the authors have provided over 100 FORTRAN programs an associated datasets for download in Unix-compatible and Windows-compatible format. These well-commented programs are briefly described in Appendix A with subsections organized by chapter. …Permutation Methods is a superb book that is highly recommended." ( Journal of the American Statistical Association, Dec. 2009, Vol. 104, No. 488)

Long Description

The book will provide a comprehensive treatment of statistical inference using permutation techniques. Its purpose is to make available to practitioners a variety of useful and powerful data analytic tools that rely on very few distributional assumptions. Although many of these procedures have appeared in journal articles, they are not readily available to practitioners.

Review Quote

Review of the first edition: The authors describe permutation methods associated with completely randomized and randomized block experimental designs. Applications of the distance function permutation approach include binary and rank data. Type I error controlled regression analyses, including both prediction and linear models, are delineated. Because the regression analyses are based on a metric Euclidean distance function, special attention is paid to least sum of absolute deviations (LAD) regression. Recently developed goodness-of-fit tests, measures of agreement, multidimensional contingency table tests, and multisample univariate permutation methods are discussed and compared. The level of this monograph is that of upper division undergraduate and beginning graduate students. --Mathematical Reviews

Feature

Makes a variety of powerful data analytic tools easily available to practitioners New material has been added to the second edition

Description for Sales People

Classical statistical analysis depends on many assumptions about the nature of data and the population from which the samples were drawn. Permutation tests depend only on the data gathered and, although computationally intensive, provide powerful alternatives to conventional analysis techniques. Most commonly-used parametric and permutation statistical tests, such as the matched-pairs t test and analysis of variance, are based on non-metric squared distance functions that have very poor robustness characteristics. This Second Edition places increased emphasis on the use of alternative permutation statistical tests based on metric Euclidean distance functions that have excellent robustness characteristics. These alternative permutation techniques provide many powerful multivariate tests including multivariate multiple regression analyses.

Details ISBN0387698116 Author Paul W. Mielke Short Title PERMUTATION METHODS 2/E Series Springer Series in Statistics Language English Edition 2nd ISBN-10 0387698116 ISBN-13 9780387698113 Media Book Format Hardcover Year 2007 Imprint Springer-Verlag New York Inc. Subtitle A Distance Function Approach Country of Publication United States Place of Publication New York, NY DOI AU Release Date 2007-08-10 NZ Release Date 2007-08-10 US Release Date 2007-08-10 UK Release Date 2007-08-10 Pages 446 Publisher Springer-Verlag New York Inc. Publication Date 2007-08-10 DEWEY 519.5 Illustrations XVIII, 446 p. Audience Undergraduate Edition Description Second Edition 2007 Replaces 9781475734515 Country of Origin US Product Class Description Science & Mathematics: Textbooks & Study Guides Alternative 9780387698137
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