Optimal design for a linear log contrast model for experiments with mixtures
type: Item
instance of: scholarly article
title: Optimal design for a linear log contrast model for experiments with mixtures
zbMATH Open document ID: 0665.62077
DOI: 10.1016/0378-3758(88)90086-9
author: Ling-Yau Chan
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: Analytic solution for a D-optimal design is obtained for a linear log contrast model for experiments with mixtures on the k-dimensional simplex introduced recently by \textit{J. Aitchison} and \textit{J. Bacon-Shone} [Biometrika 71, 323-330 (1984)]. The geometric pictures for the cases of 2- and 3-dimensional simplexes are given.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62J99
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4088767
zbMATH Keywords: Analytic solution
zbMATH Keywords: D-optimal design
zbMATH Keywords: linear log contrast model
zbMATH Keywords: experiments with mixtures
zbMATH Keywords: k-dimensional simplex
MaRDI profile type: Publication
full work available at URL: 0378-3758(88)90086-9
OpenAlex ID: W2097203227
cites work: MODELS AND DESIGNS FOR EXPERIMENTS WITH MIXTURES
cites work: Q3730880
cites work: Optimum Designs in Regression Problems, II
cites work: The Equivalence of Two Extremum Problems
cites work: Q3922026
description: scientific article; zbMATH DE number 4088767