順列統計モデル入門（テキスト） A Primer of Permutation Statistical Methods （2019）

Berry, Kenneth J./ Johnston, Janis E./ Mielke, Jr., Paul W.

Springer Nature Switzerland AG（2019/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 476 p.
• 言語 ENG
• 商品コード 9783030209322

Full 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. 

Contents

Introduction. - A Brief History of Permutation Methods. - Permutation Statistical Methods. - Central Tendency and Variability. - One-sample Tests. - Two-Sample Tests. - Matched-Pairs Tests. - Completely-Randomized Designs. - Randomized-Blocks Designs. - Correlation and Regression. - Contingency Tables.