Likelihood ratio tests with three-way tables
Cheng, Philip E., Liou, Michelle and Aston, John A. D.. (2010) Likelihood ratio tests with three-way tables. Journal of the American Statistical Association, Vol.105 (No.490). pp. 740-749. ISSN 0162-1459Full text not available from this repository.
Official URL: http://dx.doi.org/10.1198/jasa.2010.tm09061
Likelihood ratio (LR) tests for association and for interaction are examined for three-way contingency tables, particularly the widely used 2 x 2 x K table. Mutual information identities are used to characterize the information decomposition and the logical relationship between the omnibus LR test for conditional independence across K strata and its two independent components. LR tests for interaction and for uniform association. The latter two tests are logically connected to formulating a natural two-step test for conditional independence. The proposed two-step test with reduced nominal levels is suggested instead of the Breslow-Day test and the Cochran-Mantel-Haenszel test. This yields efficient interval estimation for both the interaction parameter and the common odds ratio compared with using the Mantel-Haenszel estimate. This allows the development of power analysis for testing general hypotheses of varied interactions, using an invariant Pythagorean law of relative entropy.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Statistics|
|Journal or Publication Title:||Journal of the American Statistical Association|
|Publisher:||American Statistical Association|
|Official Date:||June 2010|
|Number of Pages:||10|
|Page Range:||pp. 740-749|
|Access rights to Published version:||Restricted or Subscription Access|
|Funder:||NSC, Engineering and Physical Sciences Research Council (EPSRC)|
|Grant number:||2118-M-001-009, EP/H031936/1 (EPSRC)|
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