Permutation Tests for Stochastic Ordering and ANOVA: Theory and Applications with R

ISBN-13: 9780387859552 / Angielski / Miękka / 2009 / 218 str.

Dario Basso; Fortunato Pesarin; Luigi Salmaso

Opis

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.

Recenzje

From the reviews:

"...Contributions to the permutation test literature are useful and handy...This latest..., from the camp of established leaders in this field, is no exception...Overall, this is an excellent book that should be read... widely, instead of just by those researchers working with permutations methods... A serious book that would make an excellent contribution to the professional library of any serious statistician, whether or not this statistician has previously used permutation tests." (Biometrics)

"Students in courses on permutation methods and theoretical or applied statisticians interested in permutation methods. ... The text contains the necessary formulas and algorithms for those who want to study the theoretical foundation of the methods that are presented, but also examples ... are useful for the more applied statistician. ... The book could be used as a textbook for an advanced course in statistics covering these subjects or as a reference book for theoretical or applied statisticians interested in permutation tests." (Andreas Rosenblad, International Statistical Review, Vol. 78 (3), 2010)

Spis treści

I Stochastic Ordering.- Ordinal Data.- Multivariate Ordinal Data.- Multivariate Continuous Data.- Permutation Tests.- II Nonparametric ANOVA.- Nonparametric One-Way ANOVA.- Synchronized Permutation Tests in Two-way ANOVA.- Permutation Tests for Unreplicated Factorial Designs.

Blurb

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.

Dario Basso is a Post Doctoral Fellow at the Department of Management and Engineering of University of Padova His main research interests include permutation tests and design of experiments.

Fortunato Pesarin is Full Professor of Statistics at the Department of Statistics of the University of Padova. His main research interests include nonparametric methods, bootstrap methods, and permutation tests. He has published a leading book on multivariate permutation tests based on nonparametric combination methodology.

Luigi Salmaso is Associate Professor of Statistics at the Department of Management and Engineering of the University of Padova. His main research interests include permutation methods, multiple tests, and design of experiments. He has published more than 70 papers on permutation methods and design of experiments in international peer-reviewed journals.

Aldo Solari is a Post Doctoral Fellow at the Department of Chemical Process Engineering of the University of Padova. His main research interest is resampling-based multiple testing methods.