also helped ensure convergence during model estimation). The proband was considered to have experienced the event of interest (AUD occurrence) at the earliest age they met criteria for AUD, designated by a “1” score on the binary time-specific event indicator for the corresponding age interval; prior intervals were scored “0” to reflect no event, and subsequent intervals were scored “99” to reflect missing due to having experienced the event. For example, the event history for a proband with AUD onset at age 31 would be [0, 0, 1, 99, 99, 99, 99]. Right-censoring occurred when a proband did not report an AUD onset by the T25 assessment (mean age 47 years). Such probands would have “0” scores for all intervals that included up to their age at most recent interview, with any subsequent intervals being considered missing with a score of “99”. For example, the event history for a proband with no AUD onset by age 43 would be [0, 0, 0, 0, 0, 99, 99]. The frequency of right-censored probands across the age intervals was: 0 for w1–w4, 1 for w5, 42 for w6, and 152 for w7. This illustrates a relative sparseness of data at the last age
