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A Stochastic Model to Measure Patient Effects Stemming from Hospital-Acquired Infections

George T. Kastner, Richard H. Shachtman

Operations Research · 1982 · Volume 30 · Issue 6

DOI: 10.1287/opre.30.6.1105

Abstract

We introduce a Markov chain model to represent a patient's path in terms of the number and type of infections s/he may have acquired during a hospitalization period. The model allows for categories of patient diagnoses, surgery, the four major types of nosocomial (hospital-acquired) infections, and discharge or death Data from a national medical records survey including 58,647 patients enable us to estimate transition probabilities and, ultimately, perform statistical tests of fit, including a validation test. Novel parameterizations (functions of the transition matrix) are introduced to answer research questions on time-dependent infection rates, time to discharge or death as a function of patient diagnostic groups and conditional infection rates reflecting intervening variables (e.g., surgery).

Keywords

222 predicting progress of patients with and without infections, 276 hospital-based Markov chain model, effects of infections, 570 Markov chain models in the hospital

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