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A Posterior Region for Parallel Profile Differentials

Published online by Cambridge University Press:  01 January 2025

Seymour Geisser  and
Russell F. Kappenman
Seymour Geisser
Affiliation:
State University of New York at Buffalo
Russell F. Kappenman
Affiliation:
State University of New York at Buffalo
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Abstract

A simple Bayesian solution for the joint estimation of several parallel profile differentials for multivariate normal populations is obtained. This generalizes a previous result for a single profile differential.

Keywords

Public PolicyStatistical TheoryNormal PopulationPosterior RegionJoint Estimation
Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 1 , March 1971 , pp. 71 - 78
Copyright
Copyright © 1971 The Psychometric Society

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Footnotes

*

This research was supported by NIGMS-NIH Grant GM14031.

†

Now at Pennsylvania State University.

References

Geisser, S. A Bayes approach for combining correlated estimates. Journal of the American Statistical Association, 1965, 60, 602–607CrossRefGoogle Scholar
Geisser, S., & Cornfield, J. Posterior distributions for multivariate normal parameters. Journal of the Royal Statistical Society B, 1963, 25, 368–376CrossRefGoogle Scholar
Greenhouse, S., & Geisser, S.. On methods in the analysis of profile data. Psychometrika, 1959, 24, 95–112CrossRefGoogle Scholar
Halperin, M. Almost linearly-optimum combination of unbiased estimates. Journal of the American Statistical Association, 1961, 56, 36–43CrossRefGoogle Scholar