Title: The method sub-d for variance components estimation in random one-way designs

Authors: Adilson Da Silva; Miguel Fonseca

Addresses: Faculty of Science and Technology, University of Cape Verde, Praia, Cape Verde ' CMA, Faculty of Science and Technology, New University of Lisbon, Caparica, Portugal

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.

Keywords: orthogonal matrix; sub-d; one-way designs; variance components.

DOI: 10.1504/IJMDA.2018.096051

International Journal of Multivariate Data Analysis, 2018 Vol.1 No.4, pp.327 - 336

Received: 21 Feb 2018
Accepted: 14 Apr 2018
Published online: 09 Nov 2018 *

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