Models for the statistical analysis of infectious disease data. (English) Zbl 0707.62247

Haber, Michael; Longini, Ira M. jun.; Cotsonis, George A.

Biometrics 44, No. 1, 163-173 (1988).

The Longini-Koopman model [ibid. 38, 115-126 (1982; Zbl 0482.92016)] describes the process underlying the transmission of an infectious disease in terms of household and community level transmission probabilities. This model is generalized by allowing for different transmission probabilities that may correspond to various levels of risk factors on both the household and community levels. Data from influenza epidemics in Tecumseh, Michigan and Seattle, Washington are used to illustrate the applied methods.

MSC:

62P10

Applications of statistics to biology and medical sciences; meta analysis

Keywords:

infection from the community; infection within the household; Reed-Frost model; maximum likelihood; log-linear models; weighted least squares

Citations:

Zbl 0482.92016