used with the second model except that the time measure was the duration in years from first drink and onset of at-risk drinking. In this case, the distribution of years of duration was split into four divisions: 0–2 years, 3–5 years, 6–8, and 9 or more years. Two covariates, Black Race and Catholic Affiliation, required three-level interaction terms to address the PHA violation. In the model reduction phase, decisions about retaining or removing interaction variables were made for all components together, not separately, until the final step. For the third model, all variables met the PHA.
