Modifications of the Weighted Mack-Wolfe Umbrella Tests for a Generalized Behrens-Fisher Problem
Modifications of the Weighted Mack-Wolfe Umbrella Tests for a Generalized Behrens-Fisher Problem
- 한국품질경영학회
- Journal of Korean Society for Quality Management
- Vol.21 No.2
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1993.01179 - 193 (15 pages)
- 0
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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