A Primer of Permutation Statistical Methods

Description

The primary purpose of this textbook is to introduce the reader to a wide variety of elementary permutation statistical methods. Permutation methods are optimal for small data sets and non-random samples, and are free of distributional assumptions. The book follows the conventional structure of most introductory books on statistical methods, and features chapters on central tendency and variability, one-sample tests, two-sample tests, matched-pairs tests, one-way fully-randomized analysis of variance, one-way randomized-blocks analysis of variance, simple regression and correlation, and the analysis of contingency tables. In addition, it introduces and describes a comparatively new permutation-based, chance-corrected measure of effect size. Because permutation tests and measures are distribution-free, do not assume normality, and do not rely on squared deviations among sample values, they are currently being applied in a wide variety of disciplines. This book presents permutation alternatives to existing classical statistics, and is intended as a textbook for undergraduate statistics courses or graduate courses in the natural, social, and physical sciences, while assuming only an elementary grasp of statistics. Front Matter ....Pages i-xxiii Introduction (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 1-15 A Brief History of Permutation Methods (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 17-55 Permutation Statistical Methods (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 57-82 Central Tendency and Variability (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 83-100 One-Sample Tests (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 101-152 Two-Sample Tests (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 153-205 Matched-Pairs Tests (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 207-255 Completely-Randomized Designs (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 257-313 Randomized-Blocks Designs (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 315-359 Correlation and Regression (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 361-407 Contingency Tables (Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke Jr.)....Pages 409-459 Back Matter ....Pages 461-476