The Distribution of the Chi-Squared Statistic under Clustered Sampling from Contingency Tables
作者:
JoelE. Cohen,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1976)
卷期:
Volume 71,
issue 355
页码: 665-670
ISSN:0162-1459
年代: 1976
DOI:10.1080/01621459.1976.10481543
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
When the entries in a contingency table arise from clustered sampling, the chi-squared statistic conventionally calculated to testsimple and complex hypotheses about the parameters of the table may not have the distribution of a χ2variate. Assuming a model for positively associated clustering, this article finds the distribution of the conventional chi-squared statistic and shows how to correct it to an asymptotically χ2variate. A numerical example from the epidemiology of mental illness is given.
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