Analysis of singly ordered two-way contingency tables
type: Item
instance of: scholarly article
title: Analysis of singly ordered two-way contingency tables
zbMATH Open document ID: 0973.62047
DOI: 10.1155/S1173912600000055
author: John C. W. Rayner
author: D. J. Best
published in: Journal of Applied Mathematics and Decision Sciences
publication date: 2001-12-05T00:00:00Z
full work available at URL: https://eudml.org/doc/121396
review text: Summary: Pearson's statistic is investigated for nominal-ordinal two-way contingency tables in which we wish to test for identical rows. The statistic is expressed as a sum, the first summand of which is a statistic given by \textit{F. Yates} [Biometrika, Cambridge 35, 176-181 (1948; Zbl 0030.31402)], and examines location effects for the nominal category. The second and subsequent summands reflect the corresponding moments: for example, dispersion, skewness, kurtosis etc. The summands are shown to be weakly optimal in that they are score statistics.
Mathematics Subject Classification ID: 62H17
zbMATH DE Number: 1462645
zbMATH Keywords: categorical data
zbMATH Keywords: logistic model
zbMATH Keywords: log-linear model
zbMATH Keywords: orthonormal polynomial
zbMATH Keywords: two-way data
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1462645