The Distribution of the Chi-Squared Statistic Under Clustered Sampling from Contingency Tables
- 1 September 1976
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 71 (355) , 665
- https://doi.org/10.2307/2285597
Abstract
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 χ2 variate. 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 χ2 variate. A numerical example from the epidemiology of mental illness is given.Keywords
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