Faculty Publications

Conditional Categorical Response Models With Application To Treatment Of Acute Myocardial Infarction

Document Type

Article

Keywords

Bayesian model, Deviance information criterion, Logistic regression, Marginalization, Simulation-based inference

Journal/Book/Conference Title

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volume

49

Issue

2

First Page

171

Last Page

186

Abstract

For a sample of 2361 patients admitted with suspected acute myocardial infarction to a set of 37 hospitals, recorded patient response variables include eligibility for treatment with aspirin, eligibility for treatment with thrombolytics, treatment with aspirin received, treatment with thrombolytics received and short-term patient survival. Each of these five variables has two levels resulting in a 25 contingency table. The covariate information includes age, sex, race and comorbidity status. Because the responses arrive in sequence, we model these data in three stages: eligibility, then treatment received given eligibility and finally short-term survival given eligibility and treatment received, all given the covariates. Issues of interest include the extent to which the treatment received matches eligibility, whether the probability of survival is affected by treatment status and how the chance of mortality is affected by whether or not the treatment received matches eligibility. The influence of covariate information on these quantities is examined. These quantities are studied at the hospital level adjusted for case mix and also in aggregate, marginalizing over hospitals.

Department

Department of Mathematics

Original Publication Date

12-1-2000

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