Design of paired comparison experiments when treatments are levels of a single quantitative variable
type: Item
instance of: scholarly article
title: Design of paired comparison experiments when treatments are levels of a single quantitative variable
zbMATH Open document ID: 0603.62086
DOI: 10.1016/0378-3758(86)90107-2
author: Walter W. Offen
author: Ramon C. Littell
published in: Journal of Statistical Planning and Inference
publication date: 1987-01-01T00:00:00Z
review text: A paired comparison experiment is an extension of a binomial experiment; the treatments are compared pairwise and the response is binary. These experiments are often conducted in areas such as taste testing, where it may be difficult to quantify the taste of a sample, but it may be relatively easy to state which of two samples is preferred. The Bradley-Terry model without ties [\textit{R. A. Bradley} and \textit{M. E. Terry}, Biometrika 39, 324-345 (1952; Zbl 0047.129)] is used in this paper. Treatments are levels of continuous, independent variables. The logarithm of the Bradley-Terry parameters are expressed as a regression- type model. Optimal designs are obtained for linear and quadratic models. Optimality criteria considered are minimization of the variance of the maximum likelihood estimate of a single parameter and D-optimality.
Mathematics Subject Classification ID: 62K99
Mathematics Subject Classification ID: 62J15
zbMATH DE Number: 3974115
zbMATH Keywords: paired comparison experiment
zbMATH Keywords: Bradley-Terry model without ties
zbMATH Keywords: Optimal designs
zbMATH Keywords: quadratic models
zbMATH Keywords: minimization of the variance of the maximum likelihood estimate
zbMATH Keywords: D-optimality
MaRDI profile type: Publication
full work available at URL: 0378-3758(86)90107-2
OpenAlex ID: W1993936010
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description: scientific article; zbMATH DE number 3974115