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Algorithmic Construction of Bayesian Optimal Block Designs Using the Linear Mixed Effects Model

Dibaba B. Gemechu, Legesse K. Debusho and Linda M. Haine

International Journal of Statistics and Probability, 2025, vol. 14, issue 1, 50

Abstract: In this paper a numerical method for construction of optimal Bayesian block designs of size two is considered. The main focus is on implementing prior information on the unknown error variance and variance of random block effects to calculate the A- and D-optimal designs. It is noted from the numerical results that the A- and D-optimal Bayesian block designs are insensitive to the shape of the prior distributions.

Date: 2025
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