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Journal of Korean Society for Quality Management > Volume 21(2); 1993 > Article
Journal of Korean Society for Quality Management 1993;21(2): 179-.
Modifications of the Weighted Mack-Wolfe Umbrella Tests for a Generalized Behrens-Fisher Problem
ABSTRACT
Modifications of t he weighted Mack-Wolfe tests are proposed for both cases when the peak of umbrella is known and unknown. The modified weighted Mack-Wolfe tests are exactly distribution-free when the continuous populations have the same shape. For the case of peak-known umbrella alternatives, the modified weighted Mack-Wolfe tests remain asymptotically distribution-free when the continuous populations are symmetric, but not necessarily with the same shape. For the case of peak-unknown umbrella alternatives, the maximum of standardized modified weighted Mack-Wolfe tests with peak-known umbrella alternatives was used. The simulation results show that the modified weighted Mack-Wolfe tests are more recommended than the modified Mack-Wolfe tests for various patterns.
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