Some Models for the Analysis of Association in Multiway Cross-Classifications Having Ordered Categories
作者:
CliffordC. Clogg,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 380
页码: 803-815
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477891
出版商: Taylor & Francis Group
关键词: Association models;Loglinear models;Partitioning chi-square;Conditional association;Partial association;Contingency tables
数据来源: Taylor
摘要:
Goodman recently presented a class of models for the analysis of association between two discrete, ordinal variables. The association was measured in terms of the odds ratios in 2 × 2 subtables formed from adjacent rows and adjacent columns of the cross-classification, and models were devised that allowed the odds ratios to depend on an overall effect, on row effects, on column effects, and on other effects. This article presents some generalizations of this approach appropriate for multiway cross-classifications, including (a) models for the analysis of conditional association, (b) models for the analysis of partial association, and (c) models for the analysis of symmetric association. Three cross-classifications are analyzed with these models and methods, and rather simple interpretations of the association in each are provided.
点击下载:
PDF (1172KB)
返 回