A construction of D-optimal weighing designs when n\(\equiv 3\) mod 4
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Publication:2266553
DOI10.1016/0378-3758(84)90069-7zbMath0561.62067OpenAlexW2018574990MaRDI QIDQ2266553
Nikos Farmakis, Stratis Kounias
Publication date: 1984
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(84)90069-7
Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)
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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, Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem, 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 \(n=19\)
Cites Work
- The exact D-optimal first order saturated design with 17 observations
- Some D-optimal weighing designs for n=3 (mod 4)
- D-optimum weighing designs
- Construction methods for D-optimum weighing designs when n=3(mod 4)
- Combinatorics. Room squares, sum-free sets, Hadamard matrices
- Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- On Hadamard's inequality for the determinants of order non-divisible by 4
- Hadamard matrices and their applications
