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

DOI10.1016/S0378-3758(02)00218-5zbMath1180.62112OpenAlexW2077273888MaRDI QIDQ698016

Masahide Kuwada

Publication date: 18 September 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00218-5

zbMATH Keywords

Alias matricesAssociation algebraBalanced fractional designsBest aliasFactorial effectsGeneralized inverseSimple arrays

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30) Factorial statistical designs (62K15)

Cites Work

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• Alias balanced and alias partially balanced fractional \(2^ m\) factorial
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• Balanced fractional \(2^m\) factorial designs of even resolution obtained from balanced arrays of strength \(2\ell\) with index \(\mu_\ell= 0\)
• Note on balanced fractional \(2^m\) factorial designs of resolution \(2l+1\)
• Balanced arrays of strength 21 and balanced fractional \(2^m\) factorial designs
• Balanced fractional \(\text{3}^m\) designs of resolution IV
• Multistage design procedures for identifying two-factor interactions, when higher effects are negligible
• On a measure of aliasing due to fitting an incomplete model
• Norm of alias atrices for (l + 1)-factor interactions in balanced fractional 2^Mfactorial designs of resolution 2 l+1
• On the inadequacy of the customary orthogonal arrays in quality control and general scientific experimentation, and the need of probing designs of higher revealing power^∗
• Some Results on Generalized Inverses
• On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications

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