Norm of alias atrices for (l + 1)-factor interactions in balanced fractional 2Mfactorial designs of resolution 2 l+1

DOI10.1080/03610928208828215zbMath0588.62131OpenAlexW2095427302MaRDI QIDQ3716118

Teruhiro Shirakura

Publication date: 1982

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928208828215

zbMATH Keywords

normbalanced designalias matrixbalanced arrayassociation algebrabest alias design

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (2)

Norm of alias matrices for balanced fractional \(2^m\) factorial designs when interesting factorial effects are not aliased with effects not of interest in estimation ⋮ Fractional factorial designs of two and three levels

Cites Work

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• On the norm of alias matrices in balanced fractional \(2^m\) factorial designs of resolution \(2l+1\)
• Optimal balanced \(2^7\) fractional factorial designs of resolution \(v\), with \(N\leq 42\)
• Balanced fractional \(2^m\) factorial designs of even resolution obtained from balanced arrays of strength \(2\ell\) with index \(\mu_\ell= 0\)
• Balanced arrays of strength 21 and balanced fractional \(2^m\) factorial designs
• On a measure of aliasing due to fitting an incomplete model
• Some general existence conditions for balanced arrays of strength \(t\) and 2 symbols
• Balanced 2^mfactorial designs of resolution v which allow search and estimation of one extra unknown effect, 4 ≤ m ≤ 8
• Optimal balanced 2⁷fractional factorial designs of resolution V, 49 ≤ N ≤55

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