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Author : Thomas Benjamin Paine
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (276 download)
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:
Author : James Ernie Warner
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (344 download)
Download or read book Asymptotic Properties of Multivariate Permutation Tests with Applications to Signal Detection written by James Ernie Warner and published by . This book was released on 1969 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karaikurichi Viswanathan Ramani
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.E/5 ( download)
Download or read book Asymptotic Properties of Some Multivariate Multisample Nonparametric Tests written by Karaikurichi Viswanathan Ramani and published by . This book was released on 1977 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fortunato Pesarin
Publisher : John Wiley & Sons
ISBN 13 : 9780470689523
Total Pages : 448 pages
Book Rating : 4.6/5 (895 download)
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.
Author : Phillip Good
Publisher : Springer Science & Business Media
ISBN 13 : 1475723466
Total Pages : 238 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Phillip I. Good
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Permutation Tests written by Phillip I. Good and published by Springer Science & Business Media. This book was released on 2000 with total page 296 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, business, medicine, science, and engineering. The first edition of this book is well known for its intuitive and informal style, and the inclusion of numerous real-world problems. This new edition has more than l00 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.
Author : Thomas W. O'Gorman
Publisher : John Wiley & Sons
ISBN 13 : 0470922257
Total Pages : 365 pages
Book Rating : 4.4/5 (79 download)
Download or read book Adaptive Tests of Significance Using Permutations of Residuals with R and SAS written by Thomas W. O'Gorman and published by John Wiley & Sons. This book was released on 2012-03-13 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the tools needed to successfully perform adaptive tests across a broad range of datasets Adaptive Tests of Significance Using Permutations of Residuals with R and SAS illustrates the power of adaptive tests and showcases their ability to adjust the testing method to suit a particular set of data. The book utilizes state-of-the-art software to demonstrate the practicality and benefits for data analysis in various fields of study. Beginning with an introduction, the book moves on to explore the underlying 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 key differences among traditional tests, nonparametric tests, and adaptive tests. R and SAS software packages are used to perform the discussed techniques, and the accompanying datasets are available on the book's related website. In addition, exercises at the end of most chapters enable readers to analyze the presented datasets by putting new concepts into practice. Adaptive Tests of Significance Using Permutations of Residuals with R and SAS is an insightful reference for professionals and researchers working with statistical methods across a variety of fields including the biosciences, pharmacology, and business. The book also serves as a valuable supplement for courses on regression analysis and adaptive analysis at the upper-undergraduate and graduate levels.
Author : Russel David John
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (22 download)
Download or read book Asymptotic Approximations for Permutation Tests written by Russel David John and published by . This book was released on 1981 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 0387759700
Total Pages : 726 pages
Book Rating : 4.3/5 (877 download)
Download or read book Asymptotic Theory of Statistics and Probability written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2008-03-07 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. The book is unique in its detailed coverage of fundamental topics. It is written in an extremely lucid style, with an emphasis on the conceptual discussion of the importance of a problem and the impact and relevance of the theorems. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.
Author : Eun Yi Chung
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (852 download)
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.
Author : Robert Harold Berk
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (769 download)
Download or read book Asymptotic Properties of Sequential Probability Ratio Tests written by Robert Harold Berk and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth J. Berry
Publisher : Springer Science & Business Media
ISBN 13 : 3319027441
Total Pages : 535 pages
Book Rating : 4.3/5 (19 download)
Download or read book A Chronicle of Permutation Statistical Methods written by Kenneth J. Berry and published by Springer Science & Business Media. This book was released on 2014-04-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Paul W. Mielke (jr.)
Publisher : Springer Science & Business Media
ISBN 13 : 9780387988825
Total Pages : 384 pages
Book Rating : 4.9/5 (888 download)
Download or read book Permutation Methods written by Paul W. Mielke (jr.) and published by Springer Science & Business Media. This book was released on 2001 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book will provide a comprehensive treatment of statistical inference using permutation techniques. Its purpose is to make available to practitioners 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.
Author : Li-Xing Zhu
Publisher : Springer Science & Business Media
ISBN 13 : 0387290532
Total Pages : 184 pages
Book Rating : 4.3/5 (872 download)
Download or read book Nonparametric Monte Carlo Tests and Their Applications written by Li-Xing Zhu and published by Springer Science & Business Media. This book was released on 2006-04-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental issue in statistical analysis is testing the fit of a particular probability model to a set of observed data. Monte Carlo approximation to the null distribution of the test provides a convenient and powerful means of testing model fit. Nonparametric Monte Carlo Tests and Their Applications proposes a new Monte Carlo-based methodology to construct this type of approximation when the model is semistructured. When there are no nuisance parameters to be estimated, the nonparametric Monte Carlo test can exactly maintain the significance level, and when nuisance parameters exist, this method can allow the test to asymptotically maintain the level. The author addresses both applied and theoretical aspects of nonparametric Monte Carlo tests. The new methodology has been used for model checking in many fields of statistics, such as multivariate distribution theory, parametric and semiparametric regression models, multivariate regression models, varying-coefficient models with longitudinal data, heteroscedasticity, and homogeneity of covariance matrices. This book will be of interest to both practitioners and researchers investigating goodness-of-fit tests and resampling approximations. Every chapter of the book includes algorithms, simulations, and theoretical deductions. The prerequisites for a full appreciation of the book are a modest knowledge of mathematical statistics and limit theorems in probability/empirical process theory. The less mathematically sophisticated reader will find Chapters 1, 2 and 6 to be a comprehensible introduction on how and where the new method can apply and the rest of the book to be a valuable reference for Monte Carlo test approximation and goodness-of-fit tests. Lixing Zhu is Associate Professor of Statistics at the University of Hong Kong. He is a winner of the Humboldt Research Award at Alexander-von Humboldt Foundation of Germany and an elected Fellow of the Institute of Mathematical Statistics. From the reviews: "These lecture notes discuss several topics in goodness-of-fit testing, a classical area in statistical analysis. ... The mathematical part contains detailed proofs of the theoretical results. Simulation studies illustrate the quality of the Monte Carlo approximation. ... this book constitutes a recommendable contribution to an active area of current research." Winfried Stute for Mathematical Reviews, Issue 2006 "...Overall, this is an interesting book, which gives a nice introduction to this new and specific field of resampling methods." Dongsheng Tu for Biometrics, September 2006
Author : E.L. Lehmann
Publisher : Springer Nature
ISBN 13 : 3030705781
Total Pages : 1016 pages
Book Rating : 4.0/5 (37 download)
Download or read book Testing Statistical Hypotheses written by E.L. Lehmann and published by Springer Nature. This book was released on 2022-06-22 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
Author : Eugene S. Edgington
Publisher :
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.:/5 (319 download)
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.
Author : John E. Kolassa
Publisher : Springer Science & Business Media
ISBN 13 : 1475742770
Total Pages : 194 pages
Book Rating : 4.4/5 (757 download)
Download or read book Series Approximation Methods in Statistics written by John E. Kolassa and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this sub ject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily on notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts aS possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted.
