Optimal Weighing Designs

DOI10.1137/0606025zbMath0563.62050OpenAlexW1992894742MaRDI QIDQ3676990

Ching-Shui Cheng, Chi Song Wong, Joseph C. Masaro

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0606025

zbMATH Keywords

D-optimalityA-optimalityexamplesweighing designschemical balanceHadamard maximum determinant problemphi sub(p) optimality

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items

On A-optimal block matrices and weighing designs when N\(\equiv 3\,(mod\,4)\), Extensions of \(tr[(A^{-1}-B^{-1})(A-B)\leq 0\) for covariance matrices A, B], Robustness of \(A\)-optimal designs, Robustness of optimal designs for correlated random variables, \(D\)-optimal designs for correlated random vectors, A-optimal design matricesX=(x_ij)_N×nwithx_ij=−1,0,1^∗, Optimal orthogonal block designs for a quadratic mixture model for three components, Optimal biased weighing designs and two-level main-effect plans, A-optimal design matrices, Constructions of A-optimal weighing designs when \(n=19\)

Cites Work

• On the optimality of chemical balance weighing designs
• A-optimal design matrices
• Optimality of some weighing and \(2^n\) fractional factorial designs
• D-optimum weighing designs
• Optimality of certain asymmetrical experimental designs
• On maximizing det (A\(^T\)A)
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• The Hadamard Maximum Determinant Problem
• Hadamard matrices and their applications
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