A survey of algorithms for exact distributions of test statistics in r\(\times c\) contingency tables with fixed margins
type: Item
instance of: scholarly article
title: A survey of algorithms for exact distributions of test statistics in r\(\times c\) contingency tables with fixed margins
zbMATH Open document ID: 0586.62083
DOI: 10.1016/0167-9473(85)90080-5
author: Albert Verbeek
author: Pieter M. Kroonenberg
published in: Computational Statistics and Data Analysis
publication date: 1985-01-01T00:00:00Z
review text: Testing of independence in an \(r\times c\) table is generally carried out by using a continuous limiting distribution of the test statistic, rather than the discrete distribution itself. This paper surveys algorithms for the computation of the latter. The central idea is the efficient enumeration of all tables with the same margins, or of a suitable subset thereof. The simplest case is Fisher's exact test for a \(2\times 2\) table and a one-side alternative hypothesis. Fisher's method is easily extended to \(r\times c\) tables and to arbitrary statistics.
Mathematics Subject Classification ID: 62H17
Mathematics Subject Classification ID: 62-04
zbMATH DE Number: 3940468
zbMATH Keywords: fixed margins
zbMATH Keywords: exact conditional distributions
zbMATH Keywords: asymptotic approximations
zbMATH Keywords: simulation
zbMATH Keywords: finite sampling distributions
zbMATH Keywords: Monte Carlo
zbMATH Keywords: chi-square test
zbMATH Keywords: discrete distribution
zbMATH Keywords: algorithms
zbMATH Keywords: enumeration
zbMATH Keywords: Fisher's exact test
describes a project that uses: SPSS
describes a project that uses: AS 144
describes a project that uses: AS 205
describes a project that uses: NAG
describes a project that uses: AS 88
describes a project that uses: AS 112
describes a project that uses: nag
describes a project that uses: AS 159
MaRDI profile type: Publication
full work available at URL: 0167-9473(85)90080-5
OpenAlex ID: W2115361143
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description: scientific article; zbMATH DE number 3940468