In longitudinal clinical trials, one analysis of interest is an intent
ion-to-treat analysis, which groups subjects according to the randomiz
ed treatment regardless of whether they stayed on that treatment or no
t. When in addition to going off the randomized treatment subjects may
also drop out of the study and be lost to follow-up, it is unclear wh
at an intention-to-treat analysis should be. If measurements are made
after treatment drop-out on a random sample of subjects who drop the t
reatment, then Hogan and Laird (1996, Biometrics 52, 1002-1017) presen
t a random effects model, well suited to this type of analysis, which
fits a two-piece linear spline to the data with the knot at the time t
he assigned treatment is dropped. This article presents a Bayesian app
roach to fitting a similar two-piece linear spline model and shows how
the model can be applied to data that have no off-treatment observati
ons.