On the usage of refined linear models for determining N-way classification designs which are optimal for comparing test treatments with a standard treatment

DOI10.1007/BF02482544zbMath0611.62095MaRDI QIDQ1087281

Michael A. Jacroux

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

incidence matrixA-optimalitysufficient conditionsMV-optimal designn-way ANOVAn-way classification designtreatments with a control

Mathematics Subject Classification ID

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

Related Items (7)

Optimal designs for comparisons between two sets of treatments ⋮ Model robust optimal designs for comparing test treatments with a control ⋮ Properties of information matrices for linear models and universal optimality of experimental designs ⋮ Row-column designs for comparing treatments with a control ⋮ Some optimal designs for comparing a set of test treatments with a set of controls ⋮ Optimal block designs for comparing test treatments with a control when \(k>v\) ⋮ Bayesian optimal experimental design for treatment-control comparisons in the presence of two-way heterogeneity

Cites Work

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• A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons
• Optimal design and refinement of the linear model with applications to repeated measurements designs
• Families of A-optimal block designs for comparing test treatments with a control
• Optimal designs for comparisons between two sets of treatments
• Optimal designs for the elimination of multi-way heterogeneity
• Optimal incomplete block designs for comparing treatments with a control
• Circular balanced repeated measurements designs

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