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Power Calculations for Likelihood Ratio Tests in Generalized Linear Models

Steven G. Self, Robert H. Mauritsen and Jill Ohara
Biometrics
Vol. 48, No. 1 (Mar., 1992), pp. 31-39
DOI: 10.2307/2532736
Stable URL: http://www.jstor.org/stable/2532736
Page Count: 9
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Power Calculations for Likelihood Ratio Tests in Generalized Linear Models
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Abstract

Recently Self and Mauritsen (1988, Biometrics 44, 79-86) described an approach for sample size/power calculations within the framework of generalized linear models that is based on a noncentral chi-square approximation to the distribution of score statistics. In this work, we present another approach to this same problem that is based on a noncentral chi-square approximation to the distribution of the likelihood ratio statistic. This approach is easier to implement than the previous one and simulation studies indicate that it is accurate over a much wider range of parameter values and data configurations than the earlier method. The new method is also applied to the problem of power calculations for 1:K matched case-control studies which is related to, but formally outside of, the generalized linear model framework.

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