Sequential Choice of an Optimal Dose: A Prediction Intervals Approach
最优剂量的序贯选择:预测区间方法
Let Y(x) be the toxicity associated with some dosage level x. Let the conditional distribution of Y be normal with mean linear in x. The optimal dosage is defined to be the largest value of x such that the probability that Y(x) does not exceed η is at least γ, where η is some threshold toxicity level and γ is some specified tolerance probability. Recently, Eichhorn and Zacks have introduced the problem of sequentially and consistently estimating the optimal dosage at the…