Some universally optimal row-column designs with empty nodes

DOI10.1093/biomet/78.2.337zbMath0735.62072OpenAlexW2011831093MaRDI QIDQ3981112

Ralph A. Bradley, Frances P. Stewart

Publication date: 26 June 1992

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/biomet/78.2.337

zbMATH Keywords

variance balanceuniversally optimalestimation of treatment effectsempty nodesgeneralized optimality criterionintrablock analysis of variance of row-column designsmultidimensional block designreduced coefficient matrixstructurally incomplete row-column design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (12)

Structurally Incomplete Row–Column Designs ⋮ Row-column designs for comparing treatments with a control ⋮ A note on universally optimal row-column designs with empty nodes ⋮ A conversation with Ralph A. Bradley. ⋮ Optimality aspects of row-column designs with non-orthogonal structure ⋮ Universally optimal structurally balanced row--column designs with some empty nodes ⋮ Optimal blocked main effects plans with nested rows and columns and related designs ⋮ Structurally incomplete row-column designs with adjusted orthogonality ⋮ Properties of superimposed BIBDs ⋮ Optimal design with many blocking factors. ⋮ A note on optimal designs with a non-orthogonal row-column-structure ⋮ A method of construction of a class of universally optimal structurally incomplete row--column designs.

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