Optimal designs for treatment-control comparisons in the presence of two- way heterogeneity
type: Item
instance of: scholarly article
title: Optimal designs for treatment-control comparisons in the presence of two- way heterogeneity
zbMATH Open document ID: 0572.62061
DOI: 10.1016/0378-3758(85)90053-9
author: William I. Notz
published in: Journal of Statistical Planning and Inference
publication date: 1985-01-01T00:00:00Z
review text: In this paper we shall consider the additive 3 factor linear model such as is used in Latin square design settings. We seek optimal designs under this model for comparing p test treatments each simultaneously with a control. Conditions under which a design is A-optimal and under which a design is E-optimal are derived and examples given of when these conditions are satisfied. Since E-optimality is a criterion that involves the variances of contrasts other than those of test treatments vs. the control, we show that many E-optimal designs are also optimal under two criteria involving only the variances of test treatments vs. the control contrasts.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 3913485
zbMATH Keywords: balanced treatment block design
zbMATH Keywords: additive 3 factor linear model
zbMATH Keywords: Latin square design
zbMATH Keywords: A-optimal
zbMATH Keywords: E-optimal
zbMATH Keywords: control contrasts
MaRDI profile type: Publication
full work available at URL: 0378-3758(85)90053-9
OpenAlex ID: W2055756982
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description: scientific article; zbMATH DE number 3913485