12. Multistage Treatment Regimes

For each patient, treatment for a disease often is a multistage process involving an alternating sequence of observations and therapeutic decisions, with the physician’s decision at each stage based on the patient’s entire history up to that stage. This chapter begins with discussion of a simple two-stage version of this process, in which a Frontline treatment is given initially and, if and when the patient’s disease worsens, i.e., progresses, a second, Salvage treatment is given, so the two-stage regime is (Frontline, Salvage). The discussion of this case will include examples where, if one only accounts for the effects of Frontline and Salvage separately in each stage, the effect of the entire regime on survival time may not be obvious. Discussions and illustrations will be given of the general paradigms of dynamic treatment regimes (DTRs) and sequential multiple assignment randomized trials (SMARTs). Several statistical analyses of data from a prostate cancer trial designed by Thall et al. (2000) to evaluate multiple DTRs then will be discussed in detail. As a final example, several statistical analyses of observational data from a semi-SMART design of DTRs for acute leukemia, given by Estey et al. (1999), Wahed and Thall (2013), and Xu et al. (2016), will be discussed.