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AI 解读 ↓
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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 same time controlling the probability that a dose does exceed the optimal dose. In this paper sequential search procedures are defined which control the probability that the toxicity exceeds η, the threshold value. Two models are considered corresponding to two different variance functions.