SUMMARY The Bayesian linear model of Lindley & Smith (1972) and Smith (1973) is used to investigate the effect of including exchangesable and response-surface priors in one-way and two-way models. Estimates of the means are obtained; in the two-way case generalized inverses of matrices prove to be useful. Numerical examples are included.
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A. F. M. Smith (1973) studied this question.
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