Because the grouping variable for parenting behaviors was calculated using a median-split approach, a k-means cluster analysis of the parenting variables (original continuous scores) was conducted to verify that we did not create artificial subgroupings. A two group solution resulted in two clusters of parents that significantly overlapped with the original subgroupings based on median splits, χ2(1)=151.68, p=.000. Like our original groupings, cluster 1 (n=303) had parenting subscale scores that were higher (better) than those of cluster 2 (n=149) by .54 to 1.70 standard deviations. Parenting subscale score means were nearly identical to the means for the original subgroups (e.g., for discipline, M=2.24 and 2.48 for the original parenting subgroups; M=2.24 and 2.43 for the k-means clusters). Parental monitoring was an exception, where the mean was lower for cluster 2, M=1.94, than for the parallel parenting subgroup from the original analysis, M=2.21. The moderation model was re-analyzed with the new cluster analysis subgroupings and forcing the structural parameters to be equal across groups. The fit was good: χ2 (84)=138.79, p<.001, CFI=.98, RMSEA=.05. Model fit was marginally improved by freeing the
