Time to pregnancy, the number of menstrual cycles it takes a couple to
conceive, and various covariates have been collected among couples ul
timately achieving conception. To assess the influence of the covariat
es, we constructed a discrete survival model that allows time-dependen
t covariates. A random effect was included to account for unobserved h
eterogeneity. The collected waiting times are obtained through retrosp
ective ascertainment and are analyzed as truncated data. Maximum likel
ihood estimation was implemented by Fisher scoring through iteratively
reweighted least squares.