Behaviour of the likelihood ratio test statistic under a bahadur model for exchangeable binary data

Bahadur proposed a now well-known although not very frequently used model for correlated binary data. In its general form, it combines marginallogits with pairwise and higher order correlations, to describe the joint response distribution. In many applications, the third and higher order correlation...

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Bibliographic Details
Published in:Journal of statistical computation and simulation 1998-09, Vol.61 (1-2), p.15-38
Main Authors: Declerck, Lieven, Aerts, Marc, Molenberghs, Geert
Format: Article
Language:English
Subjects:
Bahadur model
clustered data
Developmental toxicity
Exact sciences and technology
likelihood ratio test
Mathematics
Multivariate analysis
Probability and statistics
Sciences and techniques of general use
Statistics
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Summary:Bahadur proposed a now well-known although not very frequently used model for correlated binary data. In its general form, it combines marginallogits with pairwise and higher order correlations, to describe the joint response distribution. In many applications, the third and higher order correlations are set equal to zero. We show that this simplification leads to a considerably inflated likelihood ratio test statistic. This phenomenon is intimately related to the constraints on the parameter space. Clustered data from developmental toxicity studies further illustrate the implications of this issue.
ISSN:0094-9655
1563-5163
DOI:10.1080/00949659808811900