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Permutation Tests

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Permutation Tests

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Author : Phillip Good
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Permutation Tests written by Phillip Good and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Permutation tests permit us to choose the test statistic best suited to the task at hand. This freedom of choice opens up a thousand practical applications, including many which are beyond the reach of conventional parametric sta tistics. Flexible, robust in the face of missing data and violations of assump tions, the permutation test is among the most powerful of statistical proce dures. Through sample size reduction, permutation tests can reduce the costs of experiments and surveys. This text on the application of permutation tests in biology, medicine, science, and engineering may be used as a step-by-step self-guiding reference manual by research workers and as an intermediate text for undergraduates and graduates in statistics and the applied sciences with a first course in statistics and probability under their belts. Research workers in the applied sciences are advised to read through Chapters 1 and 2 once quickly before proceeding to Chapters 3 through 8 which cover the principal applications they are likely to encounter in practice. Chapter 9 is a must for the practitioner, with advice for coping with real life emergencies such as missing or censored data, after-the-fact covariates, and outliers. Chapter 10 uses practical applications in archeology, biology, climatology, education and social science to show the research worker how to develop new permutation statistics to meet the needs of specific applications. The practitioner will find Chapter 10 a source of inspiration as well as a practical guide to the development of new and novel statistics.

Permutation Tests For Complex Data

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Author : Fortunato Pesarin
language : en
Publisher: John Wiley & Sons
Release Date : 2010-02-25

Permutation Tests For Complex Data written by Fortunato Pesarin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-25 with Mathematics categories.

Complex multivariate testing problems are frequently encountered in many scientific disciplines, such as engineering, medicine and the social sciences. As a result, modern statistics needs permutation testing for complex data with low sample size and many variables, especially in observational studies. The Authors give a general overview on permutation tests with a focus on recent theoretical advances within univariate and multivariate complex permutation testing problems, this book brings the reader completely up to date with today’s current thinking. Key Features: Examines the most up-to-date methodologies of univariate and multivariate permutation testing. Includes extensive software codes in MATLAB, R and SAS, featuring worked examples, and uses real case studies from both experimental and observational studies. Includes a standalone free software NPC Test Release 10 with a graphical interface which allows practitioners from every scientific field to easily implement almost all complex testing procedures included in the book. Presents and discusses solutions to the most important and frequently encountered real problems in multivariate analyses. A supplementary website containing all of the data sets examined in the book along with ready to use software codes. Together with a wide set of application cases, the Authors present a thorough theory of permutation testing both with formal description and proofs, and analysing real case studies. Practitioners and researchers, working in different scientific fields such as engineering, biostatistics, psychology or medicine will benefit from this book.

Permutation Tests

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Author : Phillip Good
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

In 1982, I published several issues of a samdizat scholarly journal called Random ization with the aid of an 8-bit, I-MH personal computer with 48K of memory (upgraded to 64K later that year) and floppy disks that held 400 Kbytes. A decade later, working on the first edition of this text, I used a 16-bit, 33-MH computer with 1 Mb of memory and a 20-Mb hard disk. This preface to the second edition comes to you via a 32-bit, 300-MH computer with 64-Mb memory and a 4-Gb hard disk. And, yes, I paid a tenth of what I paid for my first computer. This relationship between low-cost readily available computing power and the rising popularity of permutation tests is no coincidence. Simply put, it is" faster today to compute an exact p-value than to look up an approximation in a table of the not-quite-appropriate statistic. As a result, more and more researchers are using Permutation Tests to analyze their data. Of course, some of the increased usage has also come about through the increased availability of and improvements in off-the-shelf software, as can be seen in the revisions in this edition to Chapter 12 (Publishing Your Results) and Chapter 13 (Increasing Computation Efficiency).

Permutation Tests

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Author : Phillip I. Good
language : en
Publisher: Springer Science & Business Media
Release Date : 1994

Permutation Tests written by Phillip I. Good and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Permutation Tests For Stochastic Ordering And Anova

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Author : Dario Basso
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-20

Permutation Tests For Stochastic Ordering And Anova written by Dario Basso and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Mathematics categories.

Permutation testing for multivariate stochastic ordering and ANOVA designs is a fundamental issue in many scientific fields such as medicine, biology, pharmaceutical studies, engineering, economics, psychology, and social sciences. This book presents new advanced methods and related R codes to perform complex multivariate analyses. The prerequisites are a standard course in statistics and some background in multivariate analysis and R software.

Permutation Tests In Shape Analysis

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Author : LUIGI SALMASO
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-06

Permutation Tests In Shape Analysis written by LUIGI SALMASO and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-06 with Mathematics categories.

Statistical shape analysis is a geometrical analysis from a set of shapes in which statistics are measured to describe geometrical properties from similar shapes or different groups, for instance, the difference between male and female Gorilla skull shapes, normal and pathological bone shapes, etc. Some of the important aspects of shape analysis are to obtain a measure of distance between shapes, to estimate average shapes from a (possibly random) sample and to estimate shape variability in a sample[1]. One of the main methods used is principal component analysis. Specific applications of shape analysis may be found in archaeology, architecture, biology, geography, geology, agriculture, genetics, medical imaging, security applications such as face recognition, entertainment industry (movies, games), computer-aided design and manufacturing. This is a proposal for a new Brief on statistical shape analysis and the various new parametric and non-parametric methods utilized to facilitate shape analysis.

Randomization Tests Fourth Edition

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Author : Eugene Edgington
language : en
Publisher: CRC Press
Release Date : 1995-07-25

Randomization Tests Fourth Edition written by Eugene Edgington and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-25 with Mathematics categories.

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.

Adaptive Tests Of Significance Using Permutations Of Residuals With R And Sas

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Author : Thomas W. O'Gorman
language : en
Publisher: John Wiley & Sons
Release Date : 2012-03-13

Adaptive Tests Of Significance Using Permutations Of Residuals With R And Sas written by Thomas W. O'Gorman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-13 with Mathematics categories.

Provides the tools needed to successfully perform adaptive testsacross a broad range of datasets Adaptive Tests of Significance Using Permutations of Residualswith R and SAS illustrates the power of adaptive tests andshowcases their ability to adjust the testing method to suit aparticular set of data. The book utilizes state-of-the-art softwareto demonstrate the practicality and benefits for data analysis invarious fields of study. Beginning with an introduction, the book moves on to explore theunderlying concepts of adaptive tests, including: Smoothing methods and normalizing transformations Permutation tests with linear methods Applications of adaptive tests Multicenter and cross-over trials Analysis of repeated measures data Adaptive confidence intervals and estimates Throughout the book, numerous figures illustrate the keydifferences among traditional tests, nonparametric tests, andadaptive tests. R and SAS software packages are used to perform thediscussed techniques, and the accompanying datasets are availableon the book's related website. In addition, exercises at the end ofmost chapters enable readers to analyze the presented datasets byputting new concepts into practice. Adaptive Tests of Significance Using Permutations of Residualswith R and SAS is an insightful reference for professionals andresearchers working with statistical methods across a variety offields including the biosciences, pharmacology, and business. Thebook also serves as a valuable supplement for courses on regressionanalysis and adaptive analysis at the upper-undergraduate andgraduate levels.

Permutation Statistical Methods For Criminology And Criminal Justice

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Author : Kenneth J. Berry
language : en
Publisher: Springer Nature
Release Date : 2025-08-11

Permutation Statistical Methods For Criminology And Criminal Justice written by Kenneth J. Berry and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-11 with Mathematics categories.

This book takes a unique approach to explaining permutation statistical methods for advanced undergraduate students, graduate students, faculty, researchers, and other professionals interested in the areas of criminology or criminal justice. The book integrates permutation statistical methods with a wide range of classical statistical methods. It opens with a comparison of two models of statistical inference: the classical population model espoused by J. Neyman and E. Pearson and the permutation model first introduced by R.A. Fisher and E.J.G. Pitman. Numerous comparisons of permutation and classical statistical methods are illustrated with examples from criminology and criminal justice and supplemented with a variety of R scripts for ease of computation. The text follows the general outline of an introductory textbook in statistics with chapters on central tendency, variability, one-sample tests, two-sample tests, matched-pairs tests, completely-randomized analysis of variance, randomized-blocks analysis of variance, simple linear regression and correlation, and the analysis of goodness of fit and contingency. Unlike classical statistical methods, permutation statistical methods do not rely on theoretical distributions, avoid the usual assumptions of normality and homogeneity, depend solely on the observed data, and do not require random sampling, making permutation statistical methods ideal for analyzing criminology and criminal justice databases. Permutation methods are relatively new in that it took modern computing power to make them available to those working in criminology and criminal justice research. The book contains detailed examples of permutation analyses. Each analysis is paired with a conventional analysis; for example, a permutation test of the difference between experimental and control groups is contrasted with Student's two-sample $t$ test. An added feature is the inclusion of multiple historical notes on the origin and development of both parametric and conventional tests and measures. Designed for an audience with a basic statistical background and a strong interest in parametric and non-parametric statistics, the book can easily serve as a textbook for undergraduate and graduate students in criminology, criminal justice, or sociology, as well as serving as a research source for faculty, researchers, and other professionals in the area of criminology. No statistical training beyond a first course in statistics is required, but some knowledge of, or interest in, criminology or criminal justice is assumed.

Nonparametric Statistical Methods For Complete And Censored Data

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Author : M.M. Desu
language : en
Publisher: CRC Press
Release Date : 2003-09-29

Nonparametric Statistical Methods For Complete And Censored Data written by M.M. Desu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-29 with Mathematics categories.

Balancing the "cookbook" approach of some texts with the more mathematical approach of others, Nonparametric Statistical Methods for Complete and Censored Data introduces commonly used non-parametric methods for complete data and extends those methods to right censored data analysis. Whenever possible, the authors derive their methodology from the general theory of statistical inference and introduce the concepts intuitively for students with minimal backgrounds. Derivations and mathematical details are relegated to appendices at the end of each chapter, which allows students to easily proceed through each chapter without becoming bogged down in a lot of mathematics. In addition to the nonparametric methods for analyzing complete and censored data, the book covers optimal linear rank statistics, clinical equivalence, analysis of block designs, and precedence tests. To make the material more accessible and practical, the authors use SAS programs to illustrate the various methods included. Exercises in each chapter, SAS code, and a clear, accessible presentation make this an outstanding text for a one-semester senior or graduate-level course in nonparametric statistics for students in a variety of disciplines, from statistics and biostatistics to business, psychology, and the social scientists. Prerequisites: Students will need a solid background in calculus and a two-semester course in mathematical statistics.

Permutation Tests

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