On the design of experiments in the presence of fixed covariates
type: Item
instance of: scholarly article
title: On the design of experiments in the presence of fixed covariates
zbMATH Open document ID: 0669.62062
DOI: 10.1016/0378-3758(89)90111-0
author: Christopher J. Nachtsheim
published in: Journal of Statistical Planning and Inference
publication date: 1989-01-01T00:00:00Z
review text: We consider the problem of constructing D-optimal designs with covariates that are fixed and specified in advance. Specifically, we present methods for computing (truncated) optimal designs when nuisance parameters exist and interest focuses on a subset of the parameters in a linear model. Relationships between truncated optimal designs and optimal designs when nuisance parameters do not exist are characterized.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 4096618
zbMATH Keywords: additive models
zbMATH Keywords: constrained optimal design
zbMATH Keywords: marginally restricted designs
zbMATH Keywords: D-optimal designs
zbMATH Keywords: covariates
zbMATH Keywords: nuisance parameters
zbMATH Keywords: linear model
zbMATH Keywords: truncated optimal designs
MaRDI profile type: Publication
full work available at URL: 0378-3758(89)90111-0
OpenAlex ID: W2000910927
cites work: A Comparison of Algorithms for Constructing Exact D-Optimal Designs
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cites work: The Equivalence of Two Extremum Problems
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cites work: Q3889964
cites work: Q3922026
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description: scientific article; zbMATH DE number 4096618