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Field name	Details
Dewey Class	519.5
Title	Permutation Methods ([EBook]) : A Distance Function Approach / by Paul W. Mielke, Kenneth J. Berry.
Author	Mielke, Paul W.
Added Personal Name	Berry, Kenneth J.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2001.
Physical Details	XV, 353 pages, 2 illus. : online resource.
Series	Springer Series in Statistics 0172-7397
ISBN	9781475734492
Summary Note	The introduction of permutation tests by R. A. Fisher relaxed the paramet ric structure requirement of a test statistic. For example, the structure of the test statistic is no longer required if the assumption of normality is removed. The between-object distance function of classical test statis tics based on the assumption of normality is squared Euclidean distance. Because squared Euclidean distance is not a metric (i. e. , the triangle in equality is not satisfied), it is not at all surprising that classical tests are severely affected by an extreme measurement of a single object. A major purpose of this book is to take advantage of the relaxation of the struc ture of a statistic allowed by permutation tests. While a variety of distance functions are valid for permutation tests, a natural choice possessing many desirable properties is ordinary (i. e. , non-squared) Euclidean distance. Sim ulation studies show that permutation tests based on ordinary Euclidean distance are exceedingly robust in detecting location shifts of heavy-tailed distributions. These tests depend on a metric distance function and are reasonably powerful for a broad spectrum of univariate and multivariate distributions. Least sum of absolute deviations (LAD) regression linked with a per mutation test based on ordinary Euclidean distance yields a linear model analysis which controls for type I error.:
Contents note	1 Introduction -- 2 Description of MRPP -- 3 Further MRPP Applications -- 4 Description of MRBP -- 5 Regression Analysis, Prediction, and Agreement -- 6 Goodness-of-Fit Tests -- 7 Contingency Tables -- 8 Multisample Homogeneity Tests -- A Computer Programs -- A.1 Chapter 2 -- A.2 Chapter 3 -- A.3 Chapter 4 -- A.4 Chapter 5 -- A.5 Chapter 6 -- A.6 Chapter 7 -- A.7 Chapter 8 -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-3449-2
Links to Related Works	Subject References: Statistical hypothesis testing . Statistical Theory and Methods . Statistics . Authors: author . Berry, Kenneth J. . Mielke, Paul W. . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in Statistics . Classification: 519.5 . 519.5 (DDC 22) .

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Permutation Methods: A Distance Function Approach

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