The analysis of infectious disease data is usually complicated by the fact
that real life epidemics are only partially observed. In particular, data c
oncerning the process of infection are seldom available. Consequently, stan
dard statistical techniques can become too complicated to implement effecti
vely. In this paper Markov chain Monte Carlo methods are used to make infer
ences about the missing data as well as the unknown parameters of interest
in a Bayesian framework. The methods are applied to real life data from dis
ease outbreaks.