When product type experimental design is optimal? Brief survey and new results

DOI10.1007/BF02614014zbMath0766.62046MaRDI QIDQ1205144

Wojciech Myszka, Ewaryst Rafajłowicz

Publication date: 1 April 1993

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176433

zbMATH Keywords

mixed modelsmultivariate regressionproduct designsadditive multivariate modelspolynomial plus trigonometric regression

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05) Factorial statistical designs (62K15)

Related Items

\(G\)-optimal designs for multi-factor experiments with heteroscedastic errors, Optimal designs for main effects in linear paired comparison models, D-optimal designs of experiments with non-interacting factors, Lattice-based \(D\)-optimum design for Fourier regression, A note on \(R\)-optimal designs for multi-factor models, Optimal Designs for Additive Linear Models, Unnamed Item, Design optimality in multi-factor generalized linear models in the presence of an unrestricted quantitative factor, Efficient Designs for Paired Comparisons with a Polynomial Factor, A note on D-optimal designs for models with and without an intercept

Cites Work

• Optimum experimental design for a regression on a hypercube- generalization of Hoel's result
• A-optimal design measures for one-way layouts with additive regression
• An application of the Kiefer-Wolfowitz equivalence theorem to ANOVA models with additive regression
• General equivalence theory for optimum designs (approximate theory)
• Minimax Designs in Two Dimensional Regression
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