Permutation Statistical Methods: An Integrated Approach

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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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Contents

1 Introduction
1
2 Completely Randomized Data
29
Interval Data
56
4 Regression Analysis of Interval Data
115
Ordinal Data I
216
Ordinal Data II
315
Nominal Data
367
8 Randomized Block Data
420
Interval Data
445
Ordinal Data
473
Nominal Data
543
Epilogue
585
References
590
Author Index
607
Subject Index
613
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