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A Note on Partially Bayes Inference and the Linear Model

D. R. Cox
Biometrika
Vol. 62, No. 3 (Dec., 1975), pp. 651-654
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2335523
Stable URL: http://www.jstor.org/stable/2335523
Page Count: 4
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A Note on Partially Bayes Inference and the Linear Model
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Abstract

Some results are outlined for estimation in a replicated linear model in which the variance changes from cell to cell in accordance with an inverse gamma prior density. The primary parameters of the linear model are, however, treated as fixed unknown parameters. The analysis thus exemplifies the treatment of problems in which the nuisance parameters have a prior distribution but the parameters of primary interest do not.

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