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Biometrika 1977 64(2):291-297; doi:10.1093/biomet/64.2.291
© 1977 by Biometrika Trust
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Invariant distributions and analysis of variance models

A. P. DAWID

Department of Statistics and Computer Science, University College London

Subjective joint distributions over the outcomes of a set of possible observations, arising from a classical analysis of variance layout, are considered. These will often incorporate invariance properties associated with the symmetries of the layout. Then we show a formal equivalence with Bayesian multistage analysis of variance models. The invariance sheds further light on the analysis of such models. The argument is general, but is illustrated fully for the one-way layout.

Key Words: Analysis of variance • Bayesian analysis • Exchangeability • Invariance • One-way layout • Prediction • Subjectivist methods


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