JSM 2004 - Toronto

Abstract #301596

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Activity Number: 311
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #301596
Title: Two Approaches to the Behrens-Fisher Problem with and without Replication
Author(s): Paul J. Lupinacci*+ and Terry Hyslop
Companies: Villanova University and Thomas Jefferson University
Address: 800 Lancaster Ave., Villanova, PA, 19085,
Keywords: Behrens-Fisher ; replication
Abstract:

We consider the Behrens-Fisher problem of testing means from two independent populations where the variances are not assumed to be equal. We propose an approach based on linear combinations of random variables as in Howe (1974). We also consider a test introduced by Lee and Fineberg (1991) who proposed a fitted test based on the critical values of Lee and Gurland's test (1975). We compare these methods in the standard setting of one observation per individual and then generalize both methods to replicate data. Simulation studies are used to demonstrate the level and power of these tests. A numerical example will be provided to illustrate the methods.

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