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Permutation Methods: A Distance Function Approach
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Permutation Methods: A Distance Function Approach Hardcover - 2007

by Paul W. Mielke; Kenneth J. Berry


From the publisher

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.

From the rear 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.

Details

  • Title Permutation Methods: A Distance Function Approach
  • Author Paul W. Mielke; Kenneth J. Berry
  • Binding Hardcover
  • Edition U. S. EDITION
  • Pages 446
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2007-08-10
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9780387698113 / 0387698116
  • Weight 1.68 lbs (0.76 kg)
  • Dimensions 9.54 x 6.37 x 1.04 in (24.23 x 16.18 x 2.64 cm)
  • Library of Congress subjects Statistical hypothesis testing, Resampling (Statistics)
  • Library of Congress Catalog Number 2006939946
  • Dewey Decimal Code 519.5
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Permutation Methods
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