Algebra of a row-column design

DOI10.1016/0378-3758(85)90079-5zbMath0581.62062OpenAlexW1969988997MaRDI QIDQ1067724

J. A. Eccleston, Clyde A. McGilchrist

Publication date: 1985

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(85)90079-5

zbMATH Keywords

incidence matrixprojection matricescoefficient matrixrow-column designefficiency bound

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Algebraic systems of matrices (15A30)

Related Items (6)

An algorithm for constructing optimal resolvable incomplete block designs ⋮ Efficient two-replicate resolvable row-column designs ⋮ Some properties of multi-way block designs ⋮ Some row-column designs with adjusted orthogonality ⋮ Sesqui-arrays, a generalisation of triple arrays ⋮ On some aspects of row-column designs

Cites Work

• The Relationship Algebra of an Experimental Design
• Connectedness and orthogonality in multi-factor designs
• Bounds for the efficiency factor of block designs
• Factorization of the residual operator and canonical decomposition of nonorthogonal factors in the analysis of variance

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