D-optimality and \(D_ n\)-optimal designs for mixture regression models with logarithmic terms
type: Item
instance of: scholarly article
title: D-optimality and \(D_ n\)-optimal designs for mixture regression models with logarithmic terms
zbMATH Open document ID: 0668.62050
DOI: 10.1007/BF02112642
author: Weiyong Zhu
author: Chenjiang Hu
author: Huisen Chen
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1987-01-01T00:00:00Z
review text: Considered are the two logarithmic regression models \[ E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)\quad and\quad E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)+\sum^{q}_{i<j}\beta_{ij}x_ ix_ j \] over an experimental region with mixture- and boundary-restrictions. The authors present (without any theoretical analysis) the results of a computer search for D-optimal designs (exact and approximate) based on the Fedorov-Wynn algorithm.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 65C99
Mathematics Subject Classification ID: 62J02
zbMATH DE Number: 4094612
zbMATH Keywords: mixture regression models
zbMATH Keywords: mixture experiments
zbMATH Keywords: logarithmic regression models
zbMATH Keywords: mixture- and boundary-restrictions
zbMATH Keywords: computer search for D-optimal designs
zbMATH Keywords: Fedorov-Wynn algorithm
reviewed by: O. Krafft
MaRDI profile type: Publication
cites work: Designs in Three and Four Components for Mixtures Models with Inverse Terms
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cites work: Optimum Designs in Regression Problems
cites work: Übersichtsarbeiten
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cites work: D-Optimality for Regression Designs: A Review
full work available at URL: https://doi.org/10.1007/bf02112642
OpenAlex ID: W2035874410
description: scientific article; zbMATH DE number 4094612