Abstract: | The multistage carcinogenesis models describe a process by which a normal cell becomes malignant and gives rise to a tumor. This paper aims at evaluating the percentiles of the risk function derived as dose-response relationship in a multi-stage model. These percentiles have been known as “virtual safe dose” levels or risk specific dose levels. The optimal design theory is applied to estimate the appropriate percentile and the sequential approach of design is adopted through a stochastic approximation scheme. If the initial design is D-optimal the limit design is D-optimal as well and it is the one with the minimum entropy. |