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A Primer of Permutation Statistical Methods
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 permutati...
A Chronicle of Permutation Statistical Methods
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.
Randomization Tests, Fourth Edition
The material in this work is organized in such as way as to illustrate how randomization tests are related to topics in parametric and traditional nonparametric statistics. The work extends the scope of applications by freeing tests from parametric assumptions without reducing data to ranks. This edition provides many new features, including more accessible terminology to clarify understanding, a current analysis of single-unit experiments as well as single-subject experiments, a discussion on how single-subject experiments relate to repeated-measures experiments and the use of randomized tests in single-patient research, and more.
Randomization Tests
Random assignment; Calculating significance values; One-way analysis of variance and the independent t test; Repeated-measures analysis of variance and the correlated t test; Factorial designs; Multivariate designs; Correlation; Trend tests; One-subject randomization tests.
Single-case and Small-n Experimental Designs
This book is a practical guide to help researchers draw valid causal inferences from small-scale clinical intervention studies. It should be of interest to teachers of, and students in, courses with an experimental clinical component, as well as clinical researchers. Inferential statistics used in the analysis of group data are frequently invalid for use with data from single-case experimental designs. Even non-parametric rank tests provide, at best, approximate solutions for only some single-case (and small-n ) designs. Randomization (Exact) tests, on the other hand, can provide valid statistical analyses for all designs that incorporate a random procedure for assigning treatments to subjec...
Practical Statistics for Data Scientists
Statistical methods are a key part of of data science, yet very few data scientists have any formal statistics training. Courses and books on basic statistics rarely cover the topic from a data science perspective. This practical guide explains how to apply various statistical methods to data science, tells you how to avoid their misuse, and gives you advice on what's important and what's not. Many data science resources incorporate statistical methods but lack a deeper statistical perspective. If you’re familiar with the R programming language, and have some exposure to statistics, this quick reference bridges the gap in an accessible, readable format. With this book, you’ll learn: Why ...
Single-case and Small-n Experimental Designs
"Randomization tests are not a new idea, but they only became really useful after the advent of fast computing. Making randomization tests accessible to many more potential users by providing the means to use them within familiar statistical software, this book serves as an introduction and provides macros to perform in the familiar environments of SPSS and Excel. Though we expect that the book will still appeal to researchers, we believe the changes in the new edition will make the book an essential aid for graduate and senior undergraduate courses in statistics, data analysis, and/or research methods, taught in departments of psychology (especially clinical or counseling psychology), medicine, nursing, and other health and social sciences"--Provided by publisher.
The Making and Breaking of Classification Models in Linguistics
The book provides a methodological blueprint for the study of constructional alternations – using corpus-linguistic methods in combination with different types of experimental data. The book looks at a case study from Estonian. This morphologically rich language is typologically different from Indo-European languages such as English. Corpus-based studies allow us to detect patterns in the data and determine what is typical in the language. Experiments are needed to determine the upper and lower limits of human classification behaviour. They give us an idea of what is possible in a language and show how human classification behaviour is susceptible to more variation than corpus-based models lead us to believe. Corpora and forced choice data tell us that when we produce language, we prefer one construction. Acceptability judgement data tell us that when we comprehend language, we judge both constructions as acceptable. The book makes a theoretical contribution to the what, why, and how of constructional alternations.
