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Asymptotically Valid And Exact Permutation Tests
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Book Synopsis Asymptotically Valid and Exact Permutation Tests by : Eun Yi Chung
Download or read book Asymptotically Valid and Exact Permutation Tests written by Eun Yi Chung and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Given independent samples from P and Q, two-sample permutation tests allow one to construct exact level tests when the null hypothesis is P = Q. On the other hand, when comparing or testing particular parameters [theta] of P and Q, such as their means or quantiles, the classical permutation tests need not be level [alpha], or even approximately level [alpha] in large samples. Under very weak assumptions, this dissertation provides general test procedures whereby the asymptotic validity of the permutation test holds even when the assumption of identical distribution is unknown, while retaining the exact rejection probability [alpha] in finite samples when the underlying distributions are identical. A quite general theory is possible based on a coupling construction, as well as a key contiguity argument for the multinomial and multivariate hypergeometric distributions. The mathematical and statistical foundations for understanding permutation tests are laid out. Based on these technical arguments, the ideas are broadly applicable and generalizations have been made to the k-sample problem of comparing general parameters, the two-sample U-statistics, and d-dimensional multivariate cases and multiple testing. In the U-statistics case, we consider the Wilcoxon statistic or some rank statistics where the parameter of interest is a function of the joint distribution [theta](P, Q) and not just a simple difference [theta](P) - [theta](Q). In multivariate case, we apply the modified Hotelling's T^2-statistic as well as tests based on the maximum of studentized absolute differences. In the latter case, we must employ a bootstrap prepivoting operation, which leads to a bootstrapping after permuting algorithm. Then, we apply these tests as a basis for testing multiple hypotheses simultaneously by invoking the closure method to control the Familywise Error Rate. Monte Carlo simulation studies illustrate how the classical permutation tests and the proposed new permutation tests perform under various scenarios of underlying distributions with small, moderate, and large samples. Lastly, we also present some economic empirical applications where the permutation tests are utilized for testing some parameters of the underlying distributions.
Book Synopsis Asymptotically Valid and Exact Permutation Tests Based on Two-sample U-statistics by : Eun Yi Chung
Download or read book Asymptotically Valid and Exact Permutation Tests Based on Two-sample U-statistics written by Eun Yi Chung and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exact and Asymptotically Robust Permutation Tests by : Eun Yi Chung
Download or read book Exact and Asymptotically Robust Permutation Tests written by Eun Yi Chung and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Permutation Tests written by Phillip Good and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step guide to the application of permutation tests in biology, medicine, science, and engineering. The intuitive and informal style makes this manual ideally suitable for students and researchers approaching these methods for the first time. In particular, it shows how to handle the problems of missing and censored data, nonresponders, after-the-fact covariates, and outliers.
Book Synopsis Permutation-based Inference in Time Series Analysis by : Marius Aurel Tirlea
Download or read book Permutation-based Inference in Time Series Analysis written by Marius Aurel Tirlea and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Permutation testing is a widely used tool for performing robust and nonparametric inference in a variety of settings. Given observations from a stationary time series, permutation tests allow one to construct exactly level alpha tests under the null hypothesis of an independent and identically distributed (i.i.d.) or, more generally, exchangeable distribution. However, in a general time series setting, the null hypothesis permits distributions which are not i.i.d., in which case permutation tests are not necessarily level alpha, nor are they approximately level alpha in large samples. In this thesis, we present a general framework for restoring the validity of the permutation testing procedure in large samples in a time series context, while retaining the exact rejection probability alpha in finite samples when the observations are i.i.d. Under weak assumptions on the mixing coefficients and moments of the sequence, we show that appropriate studentization of the test statistic leads to asymptotically valid inference in a permutation testing context. In particular, we describe explicitly the permutation testing procedure for three problem applications: testing for dependence in time series, permutation tests based on ordinary least squares regression, and permutation testing for detection of monotone trend.
Book Synopsis Permutation Tests for Complex Data by : Fortunato Pesarin
Download or read book Permutation Tests for Complex Data written by Fortunato Pesarin and published by John Wiley & Sons. This book was released on 2010-02-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Permutation Tests written by Phillip Good and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step manual on the application of permutation tests in biology, business, medicine, science, and engineering. Its intuitive and informal style make it ideal for students and researchers, whether experienced or coming to these resampling methods for the first time. The real-world problems of missing and censored data, multiple comparisons, nonresponders, after-the-fact covariates, and outliers are all dealt with at length. This new edition has more than 100 additional pages, and includes streamlined statistics for the k-sample comparison and analysis of variance plus expanded sections on computational techniques, multiple comparisons, multiple regression, comparing variances, and testing interactions in balanced designs. The comprehensive author and subject indexes, plus an expert-system guide to methods, provide for further ease of use, while the exercises at the end of every chapter have been supplemented with drills and a number of graduate-level thesis problems.
Book Synopsis Permutation Tests by : Phillip I. Good
Download or read book Permutation Tests written by Phillip I. Good and published by Springer Science & Business Media. This book was released on 1994 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a step-by-step manual on the application of permutation tests in biology, medicine, science, and engineering. Its intuitive and informal style will ideally suit it as a text for students and researchers coming to these methods for the first time. In particular, it shows how the problems of missing and censored data, nonresponders, after-the-fact covariates, and outliers may be handled.
Book Synopsis Permutation Methods by : Paul W. Jr. Mielke
Download or read book Permutation Methods written by Paul W. Jr. Mielke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive treatment of statistical inference using permutation techniques. It features a variety of useful and powerful data analytic tools that rely on very few distributional assumptions. Although many of these procedures have appeared in journal articles, they are not readily available to practitioners.
Book Synopsis Asymptotic Properties of Permutation Tests by : Thomas Benjamin Paine
Download or read book Asymptotic Properties of Permutation Tests written by Thomas Benjamin Paine and published by . This book was released on 1966 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bioinformatics and Computational Biology Solutions Using R and Bioconductor by : Robert Gentleman
Download or read book Bioinformatics and Computational Biology Solutions Using R and Bioconductor written by Robert Gentleman and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Full four-color book. Some of the editors created the Bioconductor project and Robert Gentleman is one of the two originators of R. All methods are illustrated with publicly available data, and a major section of the book is devoted to fully worked case studies. Code underlying all of the computations that are shown is made available on a companion website, and readers can reproduce every number, figure, and table on their own computers.
Book Synopsis Computational Statistics in the Earth Sciences by : Alan D. Chave
Download or read book Computational Statistics in the Earth Sciences written by Alan D. Chave and published by Cambridge University Press. This book was released on 2017-10-19 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines theoretical underpinnings of statistics with practical analysis of Earth sciences data using MATLAB. Supplementary resources are available online.
Book Synopsis Statistical Hypothesis Testing in Context: Volume 52 by : Michael P. Fay
Download or read book Statistical Hypothesis Testing in Context: Volume 52 written by Michael P. Fay and published by Cambridge University Press. This book was released on 2022-05-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fay and Brittain present statistical hypothesis testing and compatible confidence intervals, focusing on application and proper interpretation. The emphasis is on equipping applied statisticians with enough tools - and advice on choosing among them - to find reasonable methods for almost any problem and enough theory to tackle new problems by modifying existing methods. After covering the basic mathematical theory and scientific principles, tests and confidence intervals are developed for specific types of data. Essential methods for applications are covered, such as general procedures for creating tests (e.g., likelihood ratio, bootstrap, permutation, testing from models), adjustments for multiple testing, clustering, stratification, causality, censoring, missing data, group sequential tests, and non-inferiority tests. New methods developed by the authors are included throughout, such as melded confidence intervals for comparing two samples and confidence intervals associated with Wilcoxon-Mann-Whitney tests and Kaplan-Meier estimates. Examples, exercises, and the R package asht support practical use.
Book Synopsis Handbook of Income Distribution by : Anthony B. Atkinson
Download or read book Handbook of Income Distribution written by Anthony B. Atkinson and published by Elsevier. This book was released on 2014-12-30 with total page 2370 pages. Available in PDF, EPUB and Kindle. Book excerpt: What new theories, evidence, explanations, and policies have shaped our studies of income distribution in the 21st century? Editors Tony Atkinson and Francois Bourguignon assemble the expertise of leading authorities in this survey of substantive issues. In two volumes they address subjects that were not covered in Volume 1 (2000), such as education, health and experimental economics; and subjects that were covered but where there have been substantial new developments, such as the historical study of income inequality and globalization. Some chapters discuss future growth areas, such as inheritance, the links between inequality and macro-economics and finance, and the distributional implications of climate change. They also update empirical advances and major changes in the policy environment. - The volumes define and organize key areas of income distribution studies - Contributors focus on identifying newly developing questions and opportunities for future research - The authoritative articles emphasize the ways that income mobility and inequality studies have recently gained greater political significance
Book Synopsis Permutation Tests for Stochastic Ordering and ANOVA by : Dario Basso
Download or read book Permutation Tests for Stochastic Ordering and ANOVA written by Dario Basso and published by Springer Science & Business Media. This book was released on 2009-04-20 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Asymptotic Statistics by : A. W. van der Vaart
Download or read book Asymptotic Statistics written by A. W. van der Vaart and published by Cambridge University Press. This book was released on 2000-06-19 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master s level statistics text, this book will also give researchers an overview of the latest research in asymptotic statistics.
Book Synopsis Randomization Tests by : Eugene S. Edgington
Download or read book Randomization Tests written by Eugene S. Edgington and published by . This book was released on 1980 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
