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Multivariate Permutation Tests For The K Sample Problem With Clustered Data


Multivariate Permutation Tests For The K Sample Problem With Clustered Data
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Multivariate Permutation Tests For The K Sample Problem With Clustered Data


Multivariate Permutation Tests For The K Sample Problem With Clustered Data
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Author : Jörg Rahnenführer
language : en
Publisher:
Release Date : 1999

Multivariate Permutation Tests For The K Sample Problem With Clustered Data written by Jörg Rahnenführer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




Multivariate Permutation Tests For The K Sample Problem With Clustered Data


Multivariate Permutation Tests For The K Sample Problem With Clustered Data
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Author :
language : en
Publisher:
Release Date : 1999

Multivariate Permutation Tests For The K Sample Problem With Clustered Data written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.


The present paper deals with the choice of clustering algorithms before treating a k-sample problem. We investigate multivariate data sets that are quantized by algorithms that define partitions by maximal support planes (MSP) of a convex function. These algorithms belong to a wide class containing as special cases both the well known k-means algorithm and the Kohonen (1985) algorithm and have been profoundly investigated by Pötzelberger and Strasser (1999). For computing the test statistics for the k-sample problem we replace the data points by their conditional expections with respect to the MSP-partition. We present Monte Carlo simulations of power functions of different tests for the k-sample problem whereas the tests are carried out as multivariate permutation tests to ensure that they hold the level. The results presented show that there seems to be a vital and decisive connection between the optimal choice of the clustering algorithm and the tails of the probability distribution of the data. Especially for distributions with heavy tails like the exponential distribution the performance of tests based on a quadratic convex function with k-means type partitions totally breaks down. (author's abstract).



Permutation Tests


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

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 2013-04-17 with Mathematics categories.


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.



Permutation Parametric And Bootstrap Tests Of Hypotheses


Permutation Parametric And Bootstrap Tests Of Hypotheses
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Author : Phillip I. Good
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-19

Permutation Parametric And Bootstrap Tests Of Hypotheses 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 2005-12-19 with Mathematics categories.


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.



Permutation Parametric And Bootstrap Tests Of Hypotheses


Permutation Parametric And Bootstrap Tests Of Hypotheses
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Author : Phillip I. Good
language : en
Publisher: Springer
Release Date : 2004-12-01

Permutation Parametric And Bootstrap Tests Of Hypotheses written by Phillip I. Good and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-01 with Mathematics categories.


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.



Nonlinear Estimation And Classification


Nonlinear Estimation And Classification
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Author : David D. Denison
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Nonlinear Estimation And Classification written by David D. Denison 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 2013-11-11 with Mathematics categories.


Researchers in many disciplines face the formidable task of analyzing massive amounts of high-dimensional and highly-structured data. This is due in part to recent advances in data collection and computing technologies. As a result, fundamental statistical research is being undertaken in a variety of different fields. Driven by the complexity of these new problems, and fueled by the explosion of available computer power, highly adaptive, non-linear procedures are now essential components of modern "data analysis," a term that we liberally interpret to include speech and pattern recognition, classification, data compression and signal processing. The development of new, flexible methods combines advances from many sources, including approximation theory, numerical analysis, machine learning, signal processing and statistics. The proposed workshop intends to bring together eminent experts from these fields in order to exchange ideas and forge directions for the future.



Statistical Data Mining And Knowledge Discovery


Statistical Data Mining And Knowledge Discovery
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Author : Hamparsum Bozdogan
language : en
Publisher: CRC Press
Release Date : 2003-07-29

Statistical Data Mining And Knowledge Discovery written by Hamparsum Bozdogan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-29 with Business & Economics categories.


Massive data sets pose a great challenge to many cross-disciplinary fields, including statistics. The high dimensionality and different data types and structures have now outstripped the capabilities of traditional statistical, graphical, and data visualization tools. Extracting useful information from such large data sets calls for novel approache



Permutation Tests For Stochastic Ordering And Anova


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.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.




A Chronicle Of Permutation Statistical Methods


A Chronicle Of Permutation Statistical Methods
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Author : Kenneth J. Berry
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-11

A Chronicle Of Permutation Statistical Methods written by Kenneth J. Berry 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 2014-04-11 with Mathematics categories.


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.