A Simple Interaction Model for Two-Dimensional Contingency Tables
作者:
GerardE. Dallal,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1982)
卷期:
Volume 77,
issue 378
页码: 425-432
ISSN:0162-1459
年代: 1982
DOI:10.1080/01621459.1982.10477828
出版商: Taylor & Francis Group
关键词: Contingency tables;Clustering
数据来源: Taylor
摘要:
A model specifying independence within each of two disjoint groups of rows is presented as an alternative to complete independence in a two-dimensional contingency table withrrows and two columns. If the measure used to assess the improvement in fit is a member of a class of order-producing (OP) functions, then the partition that maximizes the measure can be located after checking only (r− 1 of the (2r− 1− 1 possible partitions. The likelihood ratio statistic and corresponding Pearson goodness-of-fit statistics for independence in the collapsed table are two such OP functions. In the case of equal row totals the asymptotic distribution of the Pearson statistic is approximately that of 2(π − 1/π times a chi-squared variable withr/(π − 1 degrees of freedom.
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