On the characteristic polynomial of the information matrix of balanced fractional \(s^ m\) factorial designs for resolution \(V_{p,q}\)

DOI10.1016/0378-3758(88)90020-1zbMath0629.62081OpenAlexW2083839525MaRDI QIDQ1094060

Masahide Kuwada, Ryuei Nishii

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0378-3758(88)90020-1

zbMATH Keywords

information matrixtracecharacteristic polynomialcovariance matrixdeterminantresolutionexplicit expressiontwo-sided idealsbalanced arraysbalanced fractional factorial designsdecomposition of a multidimensional relationship algebra

Mathematics Subject Classification ID

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

Related Items (5)

Analysis of variance of balanced fractional \(S^ m\) factorial designs of resolution \(V_{p,q}\) ⋮ Fractional factorial designs of two and three levels ⋮ Robustness of balanced fractional \(2^ m\) factorial designs derived from simple arrays ⋮ Analysis of variance of balanced fractional factorial designs ⋮ Characterization of singular balanced fractional s^mfactorial designs derivable from balanced arrays with maximum number of constraints

Cites Work

• More precise tables of Srivastava-Chopra balanced optimal \(2^ m\) fractional factorial designs of resolution V, m\(\leq 6\)
• Optimal balanced fractional \(3^m\) factorial designs of resolution V and balanced third-order designs
• Optimality of some weighing and \(2^n\) fractional factorial 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
• Optimal balanced \(2^7\) fractional factorial designs of resolution \(v\), with \(N\leq 42\)
• Optimal balanced fractional \(2^m\) factorial designs of resolution VII, \(6\leq m\leq 8\)
• Contributions to balanced fractional \(2^m\) factorial designs derived from balanced arrays of strength \(2l\)
• Balanced arrays of strength 21 and balanced fractional \(2^m\) factorial designs
• More precise tables of optimal balanced \(2^ m\) fractional factorial designs of Srivastava and Chopra, 7\(\leq m\leq 10\)
• The Relationship Algebra of an Experimental Design
• Economical Second-Order Designs Based on Irregular Fractions of the 3 n Factorial
• Balanced Optimal 2 m Fractional Factorial Designs of Resolution V, m <= 6
• On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications
• Optimal balanced 2⁷fractional factorial designs of resolution V, 49 ≤ N ≤55
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