Bahadur exact slope, Pitman efficiency, and local power for combining independent tests
Many authors, for example, Fisher (1950), Pearson (1938), Birnbaum (1954), Good (1955), Littell and Folks (1971, 1973), Berk and Cohen (1979), and Koziol, Perlman, and Rasmussen (1988), have studied the problem of combining several independent tests. Many combination procedures have been proposed, and the relative performances of such procedures have been investigated using a variety of criteria, for example, power against specific alternatives, and Bahadur Exact Slope as the sample size of the individual tests increases, but the number of tests combined is constant.
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