A Chronicle of Permutation Statistical Methods

1920–2000, and Beyond

  • Kenneth J. Berry
  • Janis E. Johnston
  • Paul W. Mielke Jr.

Table of contents

  1. Front Matter
    Pages i-xix
  2. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 1-17
  3. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 19-100
  4. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 101-197
  5. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 199-274
  6. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 275-362
  7. Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.
    Pages 363-428
  8. Back Matter
    Pages 429-517

About this book

Introduction

The focus of this book is on the birth and historical development of permutation statistical methods from the early 1920s to the near present. Beginning with the seminal contributions of R.A. Fisher, E.J.G. Pitman, and others in the 1920s and 1930s, permutation statistical methods were initially introduced to validate the assumptions of classical statistical methods.

Permutation methods have advantages over classical methods in that they are optimal for small data sets and non-random samples, are data-dependent, and are free of distributional assumptions. Permutation probability values may be exact, or estimated via moment- or resampling-approximation procedures. Because permutation methods are inherently computationally-intensive, the evolution of computers and computing technology that made modern permutation methods possible accompanies the historical narrative.

Permutation analogs of many well-known statistical tests are presented in a historical context, including multiple correlation and regression, analysis of variance, contingency table analysis, and measures of association and agreement. A non-mathematical approach makes the text accessible to readers of all levels.

Keywords

62gxx; 62-07; 62-03; 01-08; 62axx Ecology Exact History Medical Research Moment Approximation Permutation Psychology Resampling Approximation Statistics

Authors and affiliations

  • Kenneth J. Berry
    • 1
  • Janis E. Johnston
    • 2
  • Paul W. Mielke Jr.
    • 3
  1. 1.Department of SociologyColorado State UniversityFort CollinsUSA
  2. 2.U.S. GovernmentAlexandriaUSA
  3. 3.Department of StatisticsColorado State UniversityFort CollinsUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-02744-9
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-02743-2
  • Online ISBN 978-3-319-02744-9
  • About this book