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Permutation Statistical Methods

An Integrated Approach

  • Book
  • © 2016

Overview

  • Presents a methodological umbrella under which (1) disparate statistical methods are synthesized and integrated and (2) a number of new permutation statistical methods are developed
  • Synthesizes and integrates a large number of existing classical statistics under a common mathematical function
  • Provides computing algorithms for calculating permutation tests, and details the history of permutation statistical methods

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Table of contents (11 chapters)

Keywords

About this book

This research monograph provides a synthesis of a number of statistical tests and measures, which, at first consideration, appear disjoint and unrelated. Numerous comparisons of permutation and classical statistical methods are presented, and the two methods are compared via probability values and, where appropriate, measures of effect size.

Permutation statistical methods, compared to classical statistical methods, do not rely on theoretical distributions, avoid the usual assumptions of normality and homogeneity of variance, and depend only on the data at hand. This text takes a unique approach to explaining statistics by integrating a large variety of statistical methods, and establishing the rigor of a topic that to many may seem to be a nascent field in statistics. This topic is new in that it took modern computing power to make permutation methods available to people working in the mainstream of research.

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Reviews

“This book summarizes the applications of the MRPP done by the authors to various statistical problems … . This book may be useful for researchers who are interested in extending the MRPP to other types of data and statistical problems, for example, survival data with possible censoring of observations.” (Dongsheng Tu, zbMATH 1358.62011, 2017)

Authors and Affiliations

  • Department of Sociology, Colorado State University, Fort Collins, USA

    Kenneth J. Berry

  • Department of Statistics, Colorado State University, Fort Collins, USA

    Paul W. Mielke, Jr.

  • U.S. Government, Alexandria, USA

    Janis E. Johnston

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