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Binary regression with misclassified response and covariate subject to measurement error: a bayesian approach
Anna McGlothlin1, James D Stamey, John W Seaman
1Exploratory Program Medical Statistics, Eli Lilly and Company, Lilly Corporate Center DC 0710, Indianapolis, IN 46285, USA. mcglothlinan@lilly.com
Abstract:
We consider a Bayesian analysis for modeling a binary response that is subject to misclassification. Additionally, an explanatory variable is assumed to be unobservable, but measurements are available on its surrogate. A binary regression model is developed to incorporate the measurement error in the covariate as well as the misclassification in the response. Unlike existing methods, no model parameters need be assumed known. Markov chain Monte Carlo methods are utilized to perform the necessary computations. The methods developed are illustrated using atomic bomb survival data. A simulation experiment explores advantages of the approach.
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