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DAVID A. HARVILLE, Bayesian inference for variance components using only error contrasts, Biometrika, Volume 61, Issue 2, August 1974, Pages 383–385, https://doi.org/10.1093/biomet/61.2.383
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Abstract
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.
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