Through simulations, it was shown that either in balanced “one-way” random designs or in unbalanced “one-way” random designs, Sub-D estimates are in general more accurate than those provided by Anova-based estimators. Moreover, the Sub-D estimates exhibit less dispersion magnitude. Such estimates reveal to be also slightly more accurate than those provide by REML-based estimator, although this latter one presented dispersion with slightly less magnitude, which, indeed, is not bigger than 0.0261. In order to have somehow a robust tool which will allow us to infer over Sub-D’s efficiency in “one-way” random designs, this paper aims to deduce and discuss its MSE.
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