The Use of Maximin Efficiency Robust Tests in Combining Contingency Tables and Survival Analysis
研究了如何构造极大极小效率稳健检验,用于合并多个2×2表检验比例相等、结合多个2×J表检验趋势,以及分析删失生存数据,在生存分析中该检验相对效率达93.3%。
Abstract A test is the maximin efficiency robust test for a family of possible models underlying the data if no other test has higher minimum efficiency relative to the asymptotically optimum test for each model. Methods used to examine the efficiency robustness of rank tests for the two-sample problem are adapted to obtain maximin efficiency robust procedures for testing the equality of proportions across several 2×2 tables, for combining the results of tests for trend in several 2 x J tables in which the dose-response function is one of a set of possible monotone functions, and to analyze censored survival data when either the Wilcoxon or log-rank may be appropriate. In the survival setting the robust test has maximin efficiency 93.3% relative to the Wilcoxon or long-rank when each is optimum, in contrast to the 75% relative efficiency each statistic has when the other is optimum.