Adaptive treatment strategy (ATS) refers to a sequence of treatments used to treat a patient during the disease duration. ATS’ are very common in cancer, AIDS and psychiatric clinical trials. In recent years a number of clinical trials sponsored by the National Institute of Health have attempted to compare various ATS’. As a consequence, biostatisticians had to focus on deriving appropriate methodologies for statistical inference. In this talk, we discuss available methods for statistical inference for survival data from clinical trials comparing ATS’. We present a simulation study and a data analysis with a leukemia data set. Directions on future research are also presented in the discussion.