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Permutation Methods

A Distance Function Approach

  • Paul W. MielkeJr.
  • Kenneth J. Berry

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 1-10
  3. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 11-68
  4. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 69-123
  5. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 125-169
  6. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 171-262
  7. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 263-282
  8. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 283-327
  9. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 329-340
  10. Paul W. Mielke Jr., Kenneth J. Berry
    Pages 341-383
  11. Back Matter
    Pages 385-439

About this book

Introduction

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.

Keywords

Excel Permutation statistics Regression analysis Resampling Variance analysis of variance best fit correlation data-dependent methods goodness-of-fit multiple contingency tables multivariate analysis

Authors and affiliations

  • Paul W. MielkeJr.
    • 1
  • Kenneth J. Berry
    • 2
  1. 1.Department of StatisticsColorado State UniversityFort Collins
  2. 2.Department of SociologyColorado State UniversityFort Collins

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-69813-7
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-69811-3
  • Online ISBN 978-0-387-69813-7
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site