Summary. We present a collection of examples that illustrate how probabilistic models can be applied within medical informatics, along with the relevant statistical theory.We begin by listing the desirable features of a clinical probability model and then proceed to look at a wide range of techniques that can be used for model development. These include logistic regression, neural networks, Bayesian networks, class probability trees, and hidden Markov models.Because of the growing interest in applying Bayesian techniques to probabilistic models, we have emphasized the Bayesian approach throughout the chapter.
Probabilities in MedicineTwo fundamental activities of medicine are diagnosis (disease identification) and prognosis (forecasting patient outcome). It is possible to express both diagnosis and prognosis probabilistically; for example, statement ξ in conditional probability p(ξ|clinical observations) can refer to the presence of a particular disease or to a patient's survival whilst in hospital. In this chapter, we will illustrate various approaches that have been used in practice to estimate this type of probability. The use of probabilistic models for detection in biomedical data is discussed in the final section.We have not attempted an exhaustive review of the literature. Instead, we have compiled an "anthology" that illustrates a number of examples, which we have combined with relevant theory.
Desiderata for Probability ModelsThere are several features that we would like to see in a probability model: