A-optimal block designs for comparing test treatments with a control
type: Item
instance of: scholarly article
title: A-optimal block designs for comparing test treatments with a control
zbMATH Open document ID: 0629.62077
author: John Stufken
published in: The Annals of Statistics
publication date: 1987-01-01T00:00:00Z
review text: We consider the problem of comparing test treatments with a control in a proper block design. We give conditions on the parameters of both R-type and S-type designs that guarantee their A-optimality, and demonstrate how these conditions can be used to obtain families of A-optimal designs. We give an example for the construction of the desired S-type designs. A table with optimal R-type designs (3\(\leq k\leq 10\), \(k\leq v\leq 30)\) is also given.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 4024559
zbMATH Keywords: rectangular-type designs
zbMATH Keywords: step-type designs
zbMATH Keywords: comparing test treatments with a control
zbMATH Keywords: A-optimality
zbMATH Keywords: S-type designs
zbMATH Keywords: table
zbMATH Keywords: optimal R-type designs
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176350614
OpenAlex ID: W1986267476
DOI: 10.1214/AOS/1176350614
description: scientific article; zbMATH DE number 4024559