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Estimation Under the Correlated Logistic Model

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Biostatistics

Part of the book series: The University of Western Ontario Series in Philosophy of Science ((WONS,volume 38))

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Abstract

Rosner (1983, 1984) proposed a model for correlated binary outcomes in the presence of covariates based on the beta-binomial distribution. Although calculation of maximum likelihood estimates under this model is costly, alternative estimators based on the usual logistic model, with or without dummy varibles, are asymptotically biased (in general) and yield standard errors that are incorrect. An adjustment for the standard error of the usual logistic estimator is suggested for the case of one dichotomous independent variable. Also a familiar conditional approach is shown to have low asymptotic relative efficiency.

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Koval, J., Donner, A. (1987). Estimation Under the Correlated Logistic Model. In: MacNeill, I.B., Umphrey, G.J., Donner, A., Jandhyala, V.K. (eds) Biostatistics. The University of Western Ontario Series in Philosophy of Science, vol 38. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4794-8_11

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  • DOI: https://doi.org/10.1007/978-94-009-4794-8_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8626-4

  • Online ISBN: 978-94-009-4794-8

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