Behaviour of the likelihood ratio test statistic under a bahadur model for exchangeable binary data
- 1 September 1998
- journal article
- research article
- Published by Informa UK Limited in Journal of Statistical Computation and Simulation
- Vol. 61 (1), 15-38
- https://doi.org/10.1080/00949659808811900
Abstract
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.Keywords
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