Left-truncated and interval-censored data, termed dynamic cohort data, aris
e in longitudinal studies with rolling admissions and only occasional follo
w-up. The authors compared four approaches for analyzing such data: a const
ant hazard model; maximum likelihood estimation with flexible parametric mo
dels; the midpoint method, in which the midpoint of the last negative and f
irst positive test result is used in a Cox proportional hazards model that
accounts for left truncation; and a semiparametric method that uses imputed
failure times in the Cox model. By using a simulation study, they assessed
the performance of these approaches under conditions that can arise in obs
ervational studies: changes in disease incidence and changes in the underly
ing population. The simulation results indicated that the constant hazard m
odel and midpoint method were inadequate and that the flexible parametric m
odel was useful when enough parameters were used in modeling the baseline h
azard. The semiparametric method ensured correct parameter (odds ratio) est
imation when the baseline hazard was misspecified, but the trade-off increa
sed computational complexity. In this paper, a study of the incidence of hu
man immunodeficiency virus in patients repeatedly tested for the virus at a
sexually transmitted disease clinic in New Orleans, Louisiana, illustrates
the methods used.