The nested case-control design, used to sample within cohorts, is usua
lly employed for internal comparisons. We propose to use this design f
or external comparisons. We-present two probability-weighted estimator
s ui the expected number of cases under a given exposure, based an ext
ensile rates, for tu;cs versions of the nested case-control design. Th
ese estimators are used, along with their variance estimators, to form
confidence intervals for standardized mortality ratios. The estimator
s are practically unbiased, whereas the naive estimator that treats th
e nested case-control sample as a random sample of the cohere is clear
ly biased, an estimator from the alternative Cox model-based approach
is found to be substantially biased when applied in this context, Comp
aring the proposed estimators for nested case-control designs to a cor
responding estimator fur the case cohort design, we found that the cor
relation between follow-up time and exposure time (that is, the amount
of time under the exposure effect) has an impact on which type of des
ign is more efficient for external comparisons. A small correlation fa
vors the case cohort design and a large correlation the nested case-co
ntrol design. We examine empirical properties of these estimators thro
ugh computer simulations, using a cohort study of the incidence of sec
ond cancer in 2,189 patients with Hodgkin's disease.