Analysis of variance of balanced fractional \(S^ m\) factorial designs of resolution \(V_{p,q}\)
type: Item
instance of: scholarly article
title: Analysis of variance of balanced fractional \(S^ m\) factorial designs of resolution \(V_{p,q}\)
zbMATH Open document ID: 0806.62061
DOI: 10.1016/0378-3758(94)90039-6
author: Yoshifumi Hyodo
author: Masahide Kuwada
published in: Journal of Statistical Planning and Inference
publication date: 1994-07-12T00:00:00Z
review text: This paper considers a balanced fractional \(s^ m\) factorial design of resolution \(V_{p,q}\) which permits estimation of the general mean, all mean effects up to the \(p\)th degree component \((1\leq p\leq s-1)\) and all two-factor interactions up to the \(q\) th by \(q\) th degree component \((1\leq q\leq p)\) assuming that the remaining effects are negligible. The algebraic properties of the multidimensional relationship are utilized to study the analysis of variance and hypothesis testing problems with reference to such a design. Designs which are derivable from balanced arrays of strength 4 have been treated.
reviewed by: Rahul Mukerjee
Mathematics Subject Classification ID: 62K15
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 605308
zbMATH Keywords: information matrices
zbMATH Keywords: balanced fractional factorial design
zbMATH Keywords: general mean
zbMATH Keywords: mean effects
zbMATH Keywords: two-factor interactions
zbMATH Keywords: multidimensional relationship
zbMATH Keywords: analysis of variance
zbMATH Keywords: balanced arrays of strength 4
MaRDI profile type: Publication
full work available at URL: 0378-3758(94)90039-6
OpenAlex ID: W2053248454
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description: scientific article; zbMATH DE number 605308