Singular factorial designs resulting from missing pairs of design points
type: Item
instance of: scholarly article
title: Singular factorial designs resulting from missing pairs of design points
zbMATH Open document ID: 0642.62048
DOI: 10.1016/0378-3758(88)90040-7
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: In industry, experiments are often conducted sequentially due to equipment limitations dictating that only one or two simultaneous runs may be made. In this situation, early termination of the experiment results in missing points, leading to a loss in efficiency or, worse, to a singular subdesign with nonestimable model parameters. We investigate the specific problem of singularity when two points are lost from a factorial design based on n two-level factors. The method is based on the inner products of the coordinate vectors of the omitted design points and leads to some results on the nonexistence of fractional factorial designs.
Mathematics Subject Classification ID: 62K15
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 4046921
zbMATH Keywords: factor level change
zbMATH Keywords: design resolution
zbMATH Keywords: defining contrast subgroup
zbMATH Keywords: missing points
zbMATH Keywords: problem of singularity
zbMATH Keywords: inner products
zbMATH Keywords: omitted design points
zbMATH Keywords: nonexistence of fractional factorial designs
author: Leslie M. Moore
MaRDI profile type: Publication
full work available at URL: 0378-3758(88)90040-7
OpenAlex ID: W2024114437
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description: scientific article; zbMATH DE number 4046921