The method sub-d for variance components estimation in random one-way designs
by Adilson Da Silva; Miguel Fonseca
International Journal of Multivariate Data Analysis (IJMDA), Vol. 1, No. 4, 2018

Abstract: This paper approachs the new estimator for variance components in mixed linear models with an arbitrary number of variance components, called sub-d. This estimator was deduced and tested in random 'one-way' and 'two-way' nested and crossed designs with balanced or unbalanced data, by Silva (2017); specifically, this paper aims to give the sub-d explicit formula for the two variance components in random 'one-way' designs, ensuring their existence through consistent theoretical results. In order to derive the explicit above announced formula, we propose and prove some robust algebraic results. A numerical example where both variance components are estimated is given.

Online publication date: Mon, 05-Nov-2018

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