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G. C. TIAO, N. R. DRAPER, Bayesian analysis of liner models with two random components with special referance to the balanced incomplete block design, Biometrika, Volume 55, Issue 1, March 1968, Pages 101–117, https://doi.org/10.1093/biomet/55.1.101
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Abstract
In this paper we consider liner models which contain two random components and enable representation of general designs with block effects random. We show how, within a Bayesian framework, to combine the intra-and inter-block information about the location parameters. The balanced incomplete block design, an important special case, is considered in detail and illustrated by an example. A simple approximation to the marginal distribution of an individual contrast is also presented and illustrated.