On Kronecker block designs for factorial experiments

DOI10.1016/0378-3758(85)90009-6zbMath0574.62074OpenAlexW2035843195MaRDI QIDQ1063367

B. George

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)90009-6

zbMATH Keywords

eigenvaluesinteractionidempotent matrixmain effectsefficiency factorscomponent designsfactorial structureKronecker designsmulti-factor designnearly balancedtwo-factor Kronecker design

Mathematics Subject Classification ID

Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (7)

Interaction efficiencies in Kronecker block designs ⋮ Non-equireplicate Kronecker factorial designs ⋮ Construction of orthogonal factorial designs controlling interaction efficiencies ⋮ The calculus for factorial arrangements: a review and bibliography ⋮ Kronecker factorial designs for multiway elimination of heterogeneity ⋮ Efficient non-equireplicate designs obtained by merging of treatments ⋮ Resolvable incomplete split-plot \(\times\) split-block designs

Cites Work

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• A basic lemma and the analysis of block and Kronecker product designs
• Construction of effect-wise orthogonal factorial designs
• Factorial experiments in cyclic designs
• On a Generalisation of the Kronecker Product Designs
• Nearly balanced incomplete block designs
• A Matrix Substitution Method of Constructing Partially Balanced Designs
• Generalized cyclic designs in factorial experiments
• On an Application of Kronecker Product of Matrices to Statistical Designs

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