Some D-optimal weighing designs for n=3 (mod 4)

DOI10.1016/0378-3758(83)90066-6zbMath0519.62059OpenAlexW2032588979MaRDI QIDQ1054424

Stratis Kounias, Theo Chadjipantelis

Publication date: 1983

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(83)90066-6

zbMATH Keywords

block matrixD-optimal weighing designscircular matrixcomputer routineskew Hadamard

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)

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On good matrices, skew Hadamard matrices and optimal designs, Two new D-optimal designs (83,56,12), (83,55,12), A construction method of new \(D\)-, \(A\)-optimal weighing designs when \(N\equiv 3\bmod 4\) and \(k\leq N-1\), Exact A-optimal first-order saturated designs with \(n\equiv 3\bmod 4\) observations, The A-optimal non-saturated weighing designs for \(n=15\) observations, Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem, On skew-Hadamard matrices, On constructibility of A-optimal weighing designs \((n,k,5)\), when \(n\equiv{}3\pmod 4\) and \(k=n-1,n\), A construction of D-optimal weighing designs when n\(\equiv 3\) mod 4, NESTING OPTIMAL MAIN EFFECTS PLANS AND OPTIMAL FOLDOVER DESIGNS, Further results on construction methods for some A- and D-optimal weighing designs when N\(\equiv 3\) (mod 4), Optimal biased weighing designs and two-level main-effect plans, Construction method for some A- and D-optimal weighing designs when N\(\equiv 3\,\,(mod\,4)\), Constructions of A-optimal weighing designs when \(n=19\)

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