Approximate theory of multiway block designs

DOI10.2307/3315192zbMath0621.62081OpenAlexW1985157826MaRDI QIDQ3757207

Friedrich Pukelsheim

Publication date: 1986

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ec3afe2dc917cc4beea24f798606d2a17b29691c

zbMATH Keywords

universally optimaluniform marginalsC-matricesApproximate Youden Designsfactor-factor product designmaximal parameter systemmultiway product designsimultaneously p-mean optimalvariety contrastsvariety marginalsvariety-factor product design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10)

Related Items (3)

On the construction of approximate multi-factor designs from given marginals using the iterative proportional fitting procedure ⋮ On the relative efficiency of the best second order proportional ANOVA- designs ⋮ Optimality aspects of row-column designs with non-orthogonal structure

Cites Work

• On optimality properties of simple block designs in the approximate design theory
• Improving multi-way block designs at the cost of nuisance parameters
• On the construction of approximate multi-factor designs from given marginals using the iterative proportional fitting procedure
• On connectedness in two-way elimination of heterogeneity designs
• Optimal designs for the elimination of multi-way heterogeneity
• On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
• Optimum continuous block designs

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