On the nature of saturated \(2^k\)-factorial designs for unbiased estimation of non-negligible parameters

DOI10.1016/j.jspi.2020.05.006zbMath1455.62152OpenAlexW3082546234MaRDI QIDQ826959

Bikas Kumar Sinha, Kouakou Francois Domagni, A. S. Hedayat

Publication date: 6 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2020.05.006

zbMATH Keywords

Hadamard matricessaturated designsadmissible set for deletionnegligible effects

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Factorial statistical designs (62K15)

Cites Work

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• The maximum determinant of 21\(\times 21\) \((+1,-1)\)-matrices and D-optimal designs
• The maximal \(\{-1,1\}\)-determinant of order 15
• Classification of small (0, 1) matrices
• Tools for constructing optimal two-level factorial designs for a linear model containing main effects and one two-factor interaction
• Linear Algebra and Matrices