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Biostatistics 3:229-243 (2002)
© 2002 Oxford University Press

A Bayesian approach to case–control studies with errors in covariables

Paul Gustafson, Nhu D. Le and Marc Vallée

Paul Gustafson. Department of Statistics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2 gustaf{at}stat.ubc.ca
Nhu D. Le. Department of Statistics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2 BC Cancer Agency, 600 W. 10th Avenue, Vancouver, BC, Canada V5Z 4E6
Marc Vallée. CBAR, Harvard School of Public Health, Boston, MA 02113, USA

We develop Bayesian methodology for the analysis of case–control data with covariate imprecision. The pretense that the distribution of the imprecisely measured covariate is discrete on a heuristically chosen support set leads to a method which is reasonably simple to implement, and can be applied to different study designs. The methodological development emphasizes the interplay between retrospective and prospective analysis. We illustrate the method on simulated data, and on data from a cancer study where smoking history is the imprecisely measured covariate.

Keywords: Bayesian analysis; Case–control analysis; Measurement error


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