A note on conjugate Bayesian estimators of random effects model

Abstract

The theoretical findings for the Bayes random effects model and the Bayes random effects model with linear constraints on the model coefficients are the contribution of this study. We take into account the random effect model, which includes both fixed and random effects in addition to the experimental error term. We sought to offer a detailed examination of some characteristics of the Bayes and restricted Bayes estimators of the model in addition to applying the Bayesian approach to draw conclusions about the model using a conjugate prior distribution.