Algorithms to Search for Optimal Row-And-Column Designs
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1979 · Volume 41 · Issue 2
DOI: 10.1111/j.2517-6161.1979.tb01075.x
Abstract
An algorithm is described that searches for the row and column components to form an optimal row-and-column design. It is based on one given previously (Jones, 1976) for block designs. A second algorithm is described for combining the components to form a row-and-column design. Both algorithms are suitable for use on a computer. The optimality criterion used allows treatment contrasts to be weighted. Examples of the use of the algorithms are given and their performance is discussed.
Keywords
column component, computer algorithm, efficiency, optimal design, optimality criterion, row component, row-and-column design, trace minimization, weighted covariance matrix of treatment contrasts
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