The maximum determinant of 21\(\times 21\) \((+1,-1)\)-matrices and D-optimal designs
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Publication:579811
DOI10.1016/0378-3758(87)90066-8zbMath0625.62062OpenAlexW1979693101MaRDI QIDQ579811
Stratis Kounias, Chronis Moyssiadis, Theo Chadjipantelis
Publication date: 1987
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(87)90066-8
Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)
Related Items (18)
A survey of the Hadamard maximal determinant problem ⋮ A new approach to the construction of optimal designs ⋮ On the nature of saturated \(2^k\)-factorial designs for unbiased estimation of non-negligible parameters ⋮ Extended Schatten norms of random graphs and Nikiforov conjecture ⋮ The maximum determinant of \(\pm 1\) matrices ⋮ The excess of Hadamard matrices and optimal designs ⋮ Determinants of matrices of the conference type ⋮ Large-determinant sign matrices of order \(4k+1\) ⋮ Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem ⋮ Some results for almost \(D\)-optimal experimental designs ⋮ The maximal determinant and subdeterminants of \(\pm\)1 matrices. ⋮ On the enumeration of some D-optimal designs ⋮ Some characterizations of affinely full-dimensional factorial designs ⋮ \(A\)-optimization of exact first-order saturated designs for \(N\equiv 1\mod 4\) observations ⋮ NESTING OPTIMAL MAIN EFFECTS PLANS AND OPTIMAL FOLDOVER DESIGNS ⋮ The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\) ⋮ Optimal biased weighing designs and two-level main-effect plans ⋮ Evaluation of some non-orthogonal saturated designs with two levels
Cites Work
- The exact D-optimal first order saturated design with 17 observations
- D-optimum weighing designs
- Construction methods for D-optimum weighing designs when n=3(mod 4)
- Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- Hadamard matrices and their applications
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