Tests for the marginal probabilities in the two-way contingency table under restricted alternatives
type: Item
instance of: scholarly article
title: Tests for the marginal probabilities in the two-way contingency table under restricted alternatives
zbMATH Open document ID: 0669.62043
DOI: 10.1007/BF00053962
author: Kazuo Anraku
author: Akihiro Nishi
author: Takashi Yanagawa
published in: Annals of the Institute of Statistical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Testing hypotheses on the marginal probabilities of a two-way contingency table is discussed. Three statistics are considered for testing the hypothesis of specified probabilities in the margins against alternatives with a certain kind of order restriction. The properties of these statistics are discussed and their asymptotic behaviors are compared in depth. An application which motivated the consideration of the original testing problem is illustrated with practical data.
Mathematics Subject Classification ID: 62H15
Mathematics Subject Classification ID: 62H17
zbMATH DE Number: 4096599
zbMATH Keywords: asymptotic power
zbMATH Keywords: categorical data
zbMATH Keywords: restricted alternative
zbMATH Keywords: most stringent somewhere most powerful test
zbMATH Keywords: marginal probabilities
zbMATH Keywords: two-way contingency table
zbMATH Keywords: order restriction
MaRDI profile type: Publication
cites work: Q5611510
cites work: Bivariate Nonparametric Location Tests Against Restricted Alternatives
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cites work: Most Stringent Somewhere Most Powerful Tests Against Alternatives Restricted by a Number of Linear Inequalities
description: scientific article; zbMATH DE number 4096599