Characterization of balanced second-order designs for \(3^m\) factorials

DOI10.1080/15598608.2012.647582zbMath1425.62113OpenAlexW2142485524MaRDI QIDQ2320753

Yoshifumi Hyodo, Hiromu Yumiba, Masahide Kuwada

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2012.647582

zbMATH Keywords

quadratic equationrow ranksecond-order modelfactorial effectBSO designMDR algebrasimple array (SA)

Mathematics Subject Classification ID

Other designs, configurations (05B30) Factorial statistical designs (62K15)

Cites Work

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• Optimal balanced fractional \(3^m\) factorial designs of resolution V and balanced third-order designs
• Balanced arrays of strength 4 and balanced fractional \(3^m\) factorial designs
• Characteristic polynomials of the information matrices of balanced fractional \(3^ m\) factorial designs of resolution V
• The characteristic polynomial of the information matrix for second-order models
• Characterization of Balanced Fractional 3^mFactorial Designs of Resolution III
• The Relationship Algebra of an Experimental Design
• Some NonAliasing Relationship for SecondOrder Model when Information Matrix is Singular
• Economical Second-Order Designs Based on Irregular Fractions of the 3 n Factorial
• On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications

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