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Resampling Based Methods For Multiple Hypothesis Testing
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Book Synopsis Resampling-Based Multiple Testing by : Peter H. Westfall
Download or read book Resampling-Based Multiple Testing written by Peter H. Westfall and published by John Wiley & Sons. This book was released on 1993-01-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combines recent developments in resampling technology (including the bootstrap) with new methods for multiple testing that are easy to use, convenient to report and widely applicable. Software from SAS Institute is available to execute many of the methods and programming is straightforward for other applications. Explains how to summarize results using adjusted p-values which do not necessitate cumbersome table look-ups. Demonstrates how to incorporate logical constraints among hypotheses, further improving power.
Book Synopsis Resampling-based Methods for Multiple Hypothesis Testing by : Jennifer A. Schumi
Download or read book Resampling-based Methods for Multiple Hypothesis Testing written by Jennifer A. Schumi and published by . This book was released on 2006 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Resampling-based Multiple Testing with Applications to Microarray Data Analysis by : Dongmei Li
Download or read book Resampling-based Multiple Testing with Applications to Microarray Data Analysis written by Dongmei Li and published by . This book was released on 2009 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In microarray data analysis, resampling methods are widely used to discover significantly differentially expressed genes under different biological conditions when the distributions of test statistics are unknown. When sample size is small, however, simultaneous testing of thousands, or even millions, of null hypotheses in microarray data analysis brings challenges to the multiple hypothesis testing field. We study small sample behavior of three commonly used resampling methods, including permutation tests, post-pivot resampling methods, and pre-pivot resampling methods in multiple hypothesis testing. We show the model-based pre-pivot resampling methods have the largest maximum number of unique resampled test statistic values, which tend to produce more reliable P-values than the other two resampling methods. To avoid problems with the application of the three resampling methods in practice, we propose new conditions, based on the Partitioning Principle, to control the multiple testing error rates in fixed-effects general linear models. Meanwhile, from both theoretical results and simulation studies, we show the discrepancies between the true expected values of order statistics and the expected values of order statistics estimated by permutation in the Significant Analysis of Microarrays (SAM) procedure. Moreover, we show the conditions for SAM to control the expected number of false rejections in the permutation-based SAM procedure. We also propose a more powerful adaptive two-step procedure to control the expected number of false rejections with larger critical values than the Bonferroni procedure.
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 Modelling and Resampling Based Multiple Testing with Applications to Genetics by : Yifan Huang
Download or read book Modelling and Resampling Based Multiple Testing with Applications to Genetics written by Yifan Huang and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Multiple hypotheses testing is a common problem in practice. For instance, in microarray experiments, whether the goal is to select maintenance genes for normalization or to identify differentially expressed genes between samples, multiple genes are under consideration. Multiplicity inflates the type I error rate of the hypothesis testing, so we need to adjust the testing procedure to control the overly error rate. My research focuses on the strong control of Familywise Error Rate (FWER). There are mainly two different types of approaches to multiple testing. One is modelling based approach and the other non-modelling based. Modelling based approaches fit models to the data so that the joint distribution of the test statistics is tractable. Non-modelling based approaches consist of inequality based methods and resampling based methods. They require less or no information about the joint distribution of the test statistics. I have shown in Chapter 1 that frequently used Hochberg's step-up method is a special case of partition testing based on Simes' test. This is a new result. Hochberg's step-up method is an inequity based non-modelling partition testing. Modelling based partition testing is applicable whether the joint distribution of the test statistics is known or not. By applying modelling based partition testing when the joint distribution of test statistics is known, I illustrate that modelling based approaches are often more powerful than inequality based non-modelling approaches. In Chapter 2, I construct counterexamples to the validity of permutation test, demonstrating that the resampling based methods are often invalid. My results suggest recommendation of modelling based approaches. When the joint distribution of the test statistics is untractable, modelling followed by bootstrap can be applied. I use modelling followed by bootstrap in Chapter 3 to select maintenance genes for normalizing the gene expression data.
Book Synopsis Multiple Testing Procedures with Applications to Genomics by : Sandrine Dudoit
Download or read book Multiple Testing Procedures with Applications to Genomics written by Sandrine Dudoit and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the theoretical foundations of a general methodology for multiple hypothesis testing and discusses its software implementation in R and SAS. These are applied to a range of problems in biomedical and genomic research, including identification of differentially expressed and co-expressed genes in high-throughput gene expression experiments; tests of association between gene expression measures and biological annotation metadata; sequence analysis; and genetic mapping of complex traits using single nucleotide polymorphisms. The procedures are based on a test statistics joint null distribution and provide Type I error control in testing problems involving general data generating distributions, null hypotheses, and test statistics.
Book Synopsis Permutation, Parametric, and Bootstrap Tests of Hypotheses by : Phillip I. Good
Download or read book Permutation, Parametric, and Bootstrap Tests of Hypotheses written by Phillip I. Good and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Previous edition sold over 1400 copies worldwide. This new edition includes many more real-world illustrations from biology, business, clinical trials, economics, geology, law, medicine, social science and engineering along with twice the number of exercises.
Book Synopsis Multiple Testing Problems in Pharmaceutical Statistics by : Alex Dmitrienko
Download or read book Multiple Testing Problems in Pharmaceutical Statistics written by Alex Dmitrienko and published by CRC Press. This book was released on 2009-12-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful Statistical Approaches for Addressing Multiplicity IssuesIncludes practical examples from recent trials Bringing together leading statisticians, scientists, and clinicians from the pharmaceutical industry, academia, and regulatory agencies, Multiple Testing Problems in Pharmaceutical Statistics explores the rapidly growing area of multiple c
Book Synopsis Stepwise Multiple Testing as Formalized Data Snooping by : Michael Wolf
Download or read book Stepwise Multiple Testing as Formalized Data Snooping written by Michael Wolf and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is common in econometric applications that several hypothesis tests are carried out at the same time. The problem then becomes how to decide which hypotheses to reject, accounting for the multitude of tests. In this paper, we suggest a stepwise multiple testing procedure which asymptotically controls the familywise error rate at a desired level. Compared to related single-step methods, our procedure is more powerful in the sense that it often will reject more false hypotheses. Unlike some stepwise methods, our method implicitly captures the joint dependence structure of the test statistics, which results in increased ability to detect alternative hypotheses. We prove our method asymptotically controls the familywise error rate under minimal assumptions. Some simulation studies show the improvements of our methods over previous proposals. We also provide an application to a set of real data.
Book Synopsis Multiple Hypothesis Testing by : Houston Nash Gilbert
Download or read book Multiple Hypothesis Testing written by Houston Nash Gilbert and published by . This book was released on 2009 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Comparisons Using R by : Frank Bretz
Download or read book Multiple Comparisons Using R written by Frank Bretz and published by CRC Press. This book was released on 2016-04-19 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting a unifying theme based on maximum statistics, Multiple Comparisons Using R describes the common underlying theory of multiple comparison procedures through numerous examples. It also presents a detailed description of available software implementations in R. The R packages and source code for the analyses are available at http://CRAN.R-project.org After giving examples of multiplicity problems, the book covers general concepts and basic multiple comparisons procedures, including the Bonferroni method and Simes’ test. It then shows how to perform parametric multiple comparisons in standard linear models and general parametric models. It also introduces the multcomp package in R, which offers a convenient interface to perform multiple comparisons in a general context. Following this theoretical framework, the book explores applications involving the Dunnett test, Tukey’s all pairwise comparisons, and general multiple contrast tests for standard regression models, mixed-effects models, and parametric survival models. The last chapter reviews other multiple comparison procedures, such as resampling-based procedures, methods for group sequential or adaptive designs, and the combination of multiple comparison procedures with modeling techniques. Controlling multiplicity in experiments ensures better decision making and safeguards against false claims. A self-contained introduction to multiple comparison procedures, this book offers strategies for constructing the procedures and illustrates the framework for multiple hypotheses testing in general parametric models. It is suitable for readers with R experience but limited knowledge of multiple comparison procedures and vice versa. See Dr. Bretz discuss the book.
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 Statistical Inference via Data Science: A ModernDive into R and the Tidyverse by : Chester Ismay
Download or read book Statistical Inference via Data Science: A ModernDive into R and the Tidyverse written by Chester Ismay and published by CRC Press. This book was released on 2019-12-23 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Inference via Data Science: A ModernDive into R and the Tidyverse provides a pathway for learning about statistical inference using data science tools widely used in industry, academia, and government. It introduces the tidyverse suite of R packages, including the ggplot2 package for data visualization, and the dplyr package for data wrangling. After equipping readers with just enough of these data science tools to perform effective exploratory data analyses, the book covers traditional introductory statistics topics like confidence intervals, hypothesis testing, and multiple regression modeling, while focusing on visualization throughout. Features: ● Assumes minimal prerequisites, notably, no prior calculus nor coding experience ● Motivates theory using real-world data, including all domestic flights leaving New York City in 2013, the Gapminder project, and the data journalism website, FiveThirtyEight.com ● Centers on simulation-based approaches to statistical inference rather than mathematical formulas ● Uses the infer package for "tidy" and transparent statistical inference to construct confidence intervals and conduct hypothesis tests via the bootstrap and permutation methods ● Provides all code and output embedded directly in the text; also available in the online version at moderndive.com This book is intended for individuals who would like to simultaneously start developing their data science toolbox and start learning about the inferential and modeling tools used in much of modern-day research. The book can be used in methods and data science courses and first courses in statistics, at both the undergraduate and graduate levels.
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 Introduction to Statistics Through Resampling Methods and R by : Phillip I. Good
Download or read book Introduction to Statistics Through Resampling Methods and R written by Phillip I. Good and published by John Wiley & Sons. This book was released on 2013-02-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly accessible alternative approach to basic statistics Praise for the First Edition: "Certainly one of the most impressive little paperback 200-page introductory statistics books that I will ever see . . . it would make a good nightstand book for every statistician."—Technometrics Written in a highly accessible style, Introduction to Statistics through Resampling Methods and R, Second Edition guides students in the understanding of descriptive statistics, estimation, hypothesis testing, and model building. The book emphasizes the discovery method, enabling readers to ascertain solutions on their own rather than simply copy answers or apply a formula by rote. The Second Edition utilizes the R programming language to simplify tedious computations, illustrate new concepts, and assist readers in completing exercises. The text facilitates quick learning through the use of: More than 250 exercises—with selected "hints"—scattered throughout to stimulate readers' thinking and to actively engage them in applying their newfound skills An increased focus on why a method is introduced Multiple explanations of basic concepts Real-life applications in a variety of disciplines Dozens of thought-provoking, problem-solving questions in the final chapter to assist readers in applying statistics to real-life applications Introduction to Statistics through Resampling Methods and R, Second Edition is an excellent resource for students and practitioners in the fields of agriculture, astrophysics, bacteriology, biology, botany, business, climatology, clinical trials, economics, education, epidemiology, genetics, geology, growth processes, hospital administration, law, manufacturing, marketing, medicine, mycology, physics, political science, psychology, social welfare, sports, and toxicology who want to master and learn to apply statistical methods.
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 Testing Statistical Hypotheses by : E.L. Lehmann
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.
