We considered the linear one- way repeated measurements model which has only one within units factor and one between units factor incorporating univariate random effects as well as the experimental error term. A Bayesian approach based on Markov Chain Monte Carlo (MCMC) is employed to mak inferences on the one- way repeated measurements model. Furthermore, the Bayesian approach to the one-way repeated measurement model is described after representing the model as a mixed model. We investigated the asymptotic properties of the Bayes factor for testing the fixed effects linear one- way repeated...