标题： 部分联立检验中的可接受性 显示英文标题

标题： Admissibility in Partial Conjunction Testing

摘要： 元分析的可接受性自1950年代Allan Birnbaum的工作以来已被充分理解。 任何满足单调性约束的有效合并p值在某些备择假设下是最优的，因此是可接受的。 在指数族背景下，可接受的检验简化为具有凸接受区域的检验。 部分联合原假设是n个独立分量假设中最多r-1个是非空的，其中r=1对应于常规的元分析。 Benjamini和Heller（2008）通过忽略r-1个最小的p值，并将有效的元分析p值应用于剩余的n-r+1个p值，为此原假设提供了一个有效的检验。 我们提供了他们在单调检验中可接受性的充分条件。 他们检验的一个推广也提供了可接受的单调检验，并且我们证明可接受的单调检验必然属于这种推广形式。 如果不要求单调性，则他们的检验不再可接受，但支配检验过于不合理，无法在实践中使用。 显示英文摘要

摘要： Admissibility of meta-analysis has been well understood since Allan Birnbaum's work in the 1950s. Any valid combined p-value obeying a monotonicity constraint is optimal at some alternative and hence admissible. In an exponential family context, the admissible tests reduce to those with a convex acceptance region. The partial conjunction null hypothesis is that at most r - 1 of n independent component hypotheses are non-null with r = 1 corresponding to a usual meta-analysis. Benjamini and Heller (2008) provide a valid test for this null by ignoring the r - 1 smallest p-values and applying a valid meta-analysis p-value to the remaining n - r + 1 p-values. We provide sufficient conditions for the admissibility of their test among monotone tests. A generalization of their test also provides admissible monotone tests and we show that admissible monotone tests are necessarily of that generalized form. If one does not require monotonicity then their test is no longer admissible, but the dominating tests are too unreasonable to be used in practice.