Chapter

Models for Disease

Theodore R. Holford

in Multivariate Methods in Epidemiology

Published in print July 2002 | ISBN: 9780195124408
Published online September 2009 | e-ISBN: 9780199864270 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780195124408.003.0002

Series: Monographs in Epidemiology and Biostatistics

Models for Disease

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This chapter discusses the concept of a model for the disease process, emphasizing simple and very general models that can be used to study a variety of diseases. Quantities that are used to describe this fundamental model are the hazard function, the survival function, and the failure time density function. Each of these quantities can be derived from one of the others, so that they are really different expressions of the same underlying concept. Two forms are often used for the hazard: a constant hazard and a Weibull hazard. In many applications, however, it is not feasible to describe adequately the hazard by a simple mathematical function, which is one reason for the availability of non-parametric or semiparametric methods.

Keywords: mathematical models; epidemiological studies; disease process; hazard function; survival function; failure time density function; constant hazard; weibull hazard

Chapter.  6609 words.  Illustrated.

Subjects: Public Health and Epidemiology

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