I have an observational, non-randomized longitudinal study with 3 time point + baseline (t0 ... t3). Analysing solely the post-values in such trials is meaningless. I want to analyze the change from baseline, as the typical activity in medical studies.
I'm wondering, whether it makes any difference to model the change scores (Time_x - baseline) and obtain the differences (T3-T0, T2-T0, T1-T0) vs. modelling the post values itself and then test the appropriate contrasts after that: T3 vs T0, T2 vs T0, T1 vs T0?
For me, the outcome must be the Dunnett contrast: all vs. baseline, that's all. So this suggests to model post-values and then use appropriate contrasts, rather than modelling change scores - because how to adjust using the Dunnett, right?
Scenario 1: Model: post_response ~ covariates Dunnett: post_t3 vs t0, post_t2 vs. t0, post_t1 vs. t0 + Dunnett adjustment based on the multivariate t distribution.
Scenario 2: Model: change_from_baseline ~ covariates Dunnett: have no idea how?
But how to use Dunnett when I analyze change score?! To employ Dunnett I need the post-analysis (adjusted for baseline), so the answer seems clear.
I only wonder if the two approaches make any difference for modelling itself?