This paper is inspired by recent work of G.A. Barnard, who treats the Behrens-Fisher problem from a Bayesian point of view, and provides calculator programs to implement the solutions (including the classical fiducial solution). We review Barnard's work, and generalize his family of priors in a mann
An Approximate Solution to the Behrens-Fisher Problem
โ Scribed by Dinesh S. Bhoj
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 264 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0323-3847
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โฆ Synopsis
An approximate and practical solution is proposed for the Behrens-Fisher problem. This solution is compared to the solutions considered by MEHTA and SRINIVASAN (1970) and WELCH'S (1937) approximate t-test in terms of the stability of the size and magnitude of the power. It is shown that the stability of the size of the new test is better than that of Welch's t when at least one of the sample sizes is small. When the sample sizes are moderately large or large the sizes and powers of all the recommended tests are almost the same.
๐ SIMILAR VOLUMES
The nonparametric Behrens-Fisher hypothesis is the most appropriate null hypothesis for the two-sample comparison when one does not wish to make restrictive assumptions about possible distributions. In this paper, a numerical approach is described by which the likelihood ratio test can be calculated