Edgeworth expansions for the conditional distributions in logistic regression models |
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Affiliation: | 1. Department of Mathematics and Statistics, University of Maryland Baltimore County, 5401 Wilkens Avenue, Baltimore, MD 21228, USA;2. Division of Biostatistics, Columbia University School of Public Health, 600 W 168 ST., New York, NY 10032, USA |
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Abstract: | Edgeworth expansions are derived for conditional distributions of sufficient statistics as well as conditional maximum likelihood estimators of log odds ratios in logistic regression models assuming that the risk factors are not almost equally distanced. Expansions are given in several special cases. Similar results are obtained for models with polytomous outcomes. |
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