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Biometrika 1967 54(1-2):85-91; doi:10.1093/biomet/54.1-2.85
© 1967 by Biometrika Trust
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The two-means problem—a secondarily Bayes approach

MORTON B. BROWN

University of California Los Angeles

The two-means problem is that of comparing the means of samples from two Gaussian distributions with unknown variances. Since the distribution of the Behrens-Fisher statistic depends upon the ratio of the population variances, a prior distribution may be specified for this ratio and the posterior distribution of the Behrens-Fisher statistic found conditional upon the ratio of the sample variances. The effect on the critical values caused by varying the prior is studied.


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