Some E and MV-optimal designs for the two-way elimination of heterogeneity
type: Item
instance of: scholarly article
title: Some E and MV-optimal designs for the two-way elimination of heterogeneity
zbMATH Open document ID: 0584.62118
DOI: 10.1007/BF02481125
published in: Annals of the Institute of Statistical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: It is well known that in experimental settings where v treatments are being tested in b blocks of size k, a group divisible design having parameters \(\lambda_ 2=\lambda_ 1+1\) and whose corresponding C-matrix has maximal trace is both E and MV-optimal among all possible competing designs. In this paper, we show that under certain conditions, the E and MV- optimal group divisible block designs mentioned in the previous sentence can be used to construct E and MV-optimal row-column designs to handle experimental situations in which heterogeneity is to be eliminated in two directions and where v treatments are being tested in b columns and k rows. Examples are given to illustrate how the results obtained can be applied.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 3936277
zbMATH Keywords: E-optimality
zbMATH Keywords: group divisible design
zbMATH Keywords: MV-optimal
zbMATH Keywords: row-column designs
author: Mike Jacroux
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3936277