Combining Independent Tests in Linear Models
研究了一类方差不等但均值有共同参数的独立线性模型，提出了组合所有模型信息来检验共同参数为零的精确检验方法，模拟表明新方法在功效上优于标准检验。
Abstract A class of independent linear models is considered, where the variances of the different models are unequal but they have a common vector parameter θ occurring in their mean vectors. For testing the hypothesis H 0: θ = 0, some exact test procedures are derived that combine the information from all the models. The procedures are extensions of the test suggested by Cohen and Sackrowitz for recovering interblock information in balanced incomplete block designs. Simulation results on the power of the new tests and some standard tests are reported in the context of (1) testing the hypothesis concerning the common mean of two univariate normal populations and (2) recovering interblock information in a block design that is not a balanced incomplete block design. The numerical results indicate that the new tests have excellent performance in terms of power compared to some standard tests.