JSM 2005 - Toronto

Abstract #302842

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Activity Number: 520
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #302842
Title: Generalized P-value and Generalized Confidence Region for the Common Mean Vector of Several Multivariate Normal Populations
Author(s): Shu-Hui Lin*+ and Jack C. Lee
Companies: National Taichung Institute of Technology and National Chiao-Tung University
Address: 7F5 390 Wen Shin South 2 Road, Taichung, 408, Taiwan
Keywords: Combined estimator ; Coverage probability ; Expected area ; Generalized pivotal quantity ; Generalized test variable
Abstract:

We consider the hypothesis testing and confidence region construction for the common mean vector of several multivariate normal populations when the covariance matrices are unknown and possibly unequal. A new generalized method based on the concepts of generalized p-value and generalized confidence region is derived and an exact confidence region is provided. The generalized confidence region is illustrated with a numerical example. For the bivariate case, the merits of the proposed method are numerically compared with those of existing methods with respect to their expected areas and coverage probabilities under different scenarios.

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