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Biometrika 1974 61(2):383-385; doi:10.1093/biomet/61.2.383
© 1974 by Biometrika Trust
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MISCELLANEA

Bayesian inference for variance components using only error contrasts

DAVID A. HARVILLE

Aerospace Research Laboratories, Wright-Patterson A.F.B. Ohio

Patterson & Thompson (1971) proposed estimating the variance components of a mixed analysis of variance model by maximizing the likelihood of a set of error contrasts. In the present paper, a convenient representation is obtained for that likelihood. It is shown that, from a Bayesian viewpoint, using only error contrasts to make inferences on variance components is equivalent to ignoring any prior information on the fixed effects and using all the data.

Key Words: Bayesian inference • Error contrasts • Maximum likelihood • Mixed linear models • Variance components


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