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多元 t 分布的路径长度不等式及其多重比较应用AI 解读

This article presents a new inequality for the multivariate-t distribution, which implies a new method for multiple comparisons whose foundation rests on a recent inequality due to Naiman. The new method is promising in view of the fact that it utilizes information (estimator intercorrelations) ignored by the most widely used multiple comparison methods yet is not computationally prohibitive, requiring only the numerical evaluation of a single one-dimensional integral. In…

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扩展 Paulson 序贯选择方法AI 解读

Principles of multiple comparisons with the best treatment are used to construct a sequential procedure for selecting one of $k$ normal populations with equal, known variance. The procedure makes a stronger confidence than traditional Indifference Zone procedures, without (asymptotically) inflating sample sizes. It is shown to be substantially superior in asymptotic sample size behavior to existing procedures making the stronger statement.

用于处理与对照比较的渐近最优平衡处理不完全区组设计子类AI 解读

Incomplete block designs for estimation of treatment-control differences are studied. A class of designs for this purpose, called balanced treatment incomplete block designs, has recently been proposed and studied by several authors. Here, a relatively small subclass of these designs is shown to contain the asymptotically optimal design under the criterion of minimizing the length of simultaneous confidence intervals for treatment-control differences. These results can be…

用于处理与对照比较的渐近最优平衡处理不完全区组设计子类AI 解读

Incomplete block designs for estimation of treatment-control differences are studied. A class of designs for this purpose, called balanced treatment incomplete block designs, has recently been proposed and studied by several authors. Here, a relatively small subclass of these designs is shown to contain the asymptotically optimal design under the criterion of minimizing the length of simultaneous confidence intervals for treatment-control differences. These results can be…