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选择均值最大总体问题中的最优样本量AI 解读

Given k + 1 normal populations, identically distributed with a common known variance σ2 and unknown means, it is required to select N individuals in two stages as follows. In the first stage, n individuals are selected from each of the populations. In the second stage, the remaining N —n(k+1) individuals are selected from the population producing the largest mean in the first stage. A cost unique to the first stage is C(n) = c 0+c 1 na , where C 0, c 1 and α are positive…

选择最大均值总体问题的最优样本量AI 解读

Given k + 1 normal populations, identically distributed with a common known variance σ2 and unknown means, it is required to select N individuals in two stages as follows. In the first stage, n individuals are selected from each of the populations. In the second stage, the remaining N —n(k+1) individuals are selected from the population producing the largest mean in the first stage. A cost unique to the first stage is C(n) = c 0+c 1 na , where C 0, c 1 and α are positive…

二项总体中的最优抽样AI 解读

IN choosing the sample size for determining which of two populations has the larger mean, one ordinarily states a difference which is considered worth detecting, and a confidence with which one wishes to detect a difference of this size. Given this information, it is easy to calculate the minimum required sample size. The experimenter, however, must still face the problem of what difference and what confidence coefficient to choose. Actually, these may be considered as…