A Monte Carlo study was done to find the Type I error rates for three nonparametric procedures for making k – 1 many-one comparisons in a two-way design. The tests were the Silverstein and Steel many-one tests and the two-sample step-down sign test. k = 3, 5, 7, and 10 treatments were crossed with n = 8, 11, and 15 blocks with 1000 simulations per k, n combination. The Silverstein test had the best experimentwise error rates and is recommended for many-one comparisons in a two-way design.
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