Paper 1 will provide a general introduction to BTM and BTMM designs, reviewing common patterns of moderation emerging in recent research. The next three papers describe the results of BTM and BTMM analyses that focus on single intervention targets. Paper 2 tests BTMM in a trial of a parenting program for military familes targeting emotion socialization related parenting behaviors, finding no moderation for specific parent behavior targets, but significant moderation for baseline levels of general emotion regulation difficulties for fathers, showing compensatory effects on reactive-coercive behavior at one year followup. Paper 3 uses BTMM to test whether the Familias Unidas prevention program for Hispanic families reduced youth internalizing symptoms, finding evidence for compensatory effects on youth internalizing for parent support, but not family functioning or parent stress. Paper 4 reports BTM analyses employing latent baseline factors for a randomized trial of a couples intervention to reduce depression in couples who experienced recent job loss, finding crossover effects (with some benefiting and some worsening) for moderation by baseline levels of job seeker motivation and couples communication. The last two papers use latent profile analysis to study baseline target variation in synthesis datasets that combine data from multiple prevention trials. Paper 5 combines data from four Dutch trials of behavioral parenting interventions to assess whether latent profile analysis can characterize important baseline variation in parenting resources in terms of latent classes consistently across all four trials. Paper 6 combines data from four parent-focused prevention trials, finding evidence for four ordered latent classes of family functioning at baseline.