Prior Information in Behavioural Capture-Recapture Methods: Demography Influences Injectors' Propensity to be Listed on Data Sources and their Drugs-related Mortality

Ruth King, Sheila Bird, Steve Brooks, Sharon Hutchinson and Gordon Hay

University of St. Andrews

Summary

Bayesian analysis is presented of Scotland's four capture-recapture data-sources for 2000 by which to estimate numbers of current injecting drug users by region (Greater Glasgow, elsewhere in Scotland), sex (male, female) and age-group (15-34 years, 35 years or older). Secondary analysis goal is estimates and credible intervals for the demographic influences on Scotland's drugs-related death rates per 100 current injectors. Use of uninformative and then informative priors is contrasted. The latter take into account that demography influences Scottish injectors' propensity to be listed on different data-sources; also, that external information is available about: the total number of injectors, via an internationally informative prior for injectors' drugs-related death-rate coupled with Scotland's 1006 drugs-related deaths in 2000-02; and the male to female ratio of injectors internationally. Incorporation of informative priors altered the models with highest posterior probability. In secondary analysis, there was confirmation of higher drugs-related mortality in older injectors, for those resident elsewhere than Greater Glasgow and female injectors' lower drugs-related death rate was not sustained beyond 34 years of age. The authors recommend that demographic influences be accommodated in behavioural capture-recapture estimation, especially when it is a prelude to secondary analysis, as here of drugs-related death rates.

Medical Subject Headings (MeSH) (keywords):

Bayes theorem; data collection; epidemiologic methods; models, statistical; mortality; prevalence; substance abuse, intravenous.


Appeared as King, R., Bird, S. M., Brooks, S. P., Hutchinson, S. J. and Hay, G. (2005) "Prior Information in Behavioural Capture-Recapture Methods: Demography Influences Injectors' Propensity to be Listed on Data Sources and their Drugs-related Mortality". American Journal of Epidemiology 162 pp 694-703