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Theory & Methods: Analysis of Contingency Tables with Clustered Observations
Author(s) -
Chowdhury Sadeq R.,
McGilchrist C.A.
Publication year - 2001
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00181
Subject(s) - contingency table , mathematics , independence (probability theory) , multinomial distribution , statistic , statistics , test statistic , benchmark (surveying) , cluster analysis , multinomial logistic regression , econometrics , statistical hypothesis testing , geodesy , geography
A new approach is presented for testing independence in contingency tables with clustered observations. The approach is based on the framework of generalized linear mixed models. Under the multinomial logistic link function, the category counts are modelled with random cluster effects and a modified likelihood ratio statistic is used for testing independence. The method is applicable to multi‐way tables, and can accommodate multiple levels of clustering. It is illustrated using a benchmark dataset.