An ordering of dependence for contingency tables
type: Item
instance of: scholarly article
title: An ordering of dependence for contingency tables
zbMATH Open document ID: 0601.62075
DOI: 10.1016/0024-3795(85)90045-X
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: The matrices with fixed marginal sums are ordered according to the definition of majorization of \textit{A. W. Marshall} and \textit{I. Olkin} [Inequalities: Theory of majorization and its applications. (1979; Zbl 0437.26007)]. Necessary and sufficient conditions are given for maximal and minimal matrices. Applications to contingency tables and discrete bivariate distributions are discussed.
Mathematics Subject Classification ID: 62H17
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A99
zbMATH DE Number: 3969913
zbMATH Keywords: Schur concave functions
zbMATH Keywords: network algorithm of Mehta and Patel
zbMATH Keywords: P-value of Fisher's exact test
zbMATH Keywords: matrices with fixed marginal sums
zbMATH Keywords: majorization
zbMATH Keywords: Necessary and sufficient conditions
zbMATH Keywords: maximal and minimal matrices
zbMATH Keywords: contingency tables
zbMATH Keywords: discrete bivariate distributions
author: Harry Joe
MaRDI profile type: Publication
cites work: Convex Sets of Non-Negative Matrices
cites work: Term ranks and permanents of nonnegative matrices
cites work: Inequalities: theory of majorization and its applications
cites work: A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables
cites work: Inequalities for distributions with given marginals
description: scientific article; zbMATH DE number 3969913