On invariance and randomization in factorial designs with applications to D-optimal main effect designs of the symmetrical factorial

DOI10.1016/0378-3758(88)90037-7zbMath0642.62047OpenAlexW2019826032MaRDI QIDQ1101169

H. Pesotan, B. L. Raktoe

Publication date: 1988

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(88)90037-7

zbMATH Keywords

information matrixunbiased estimationlinear estimationadmissible vector of effectscolumnwise orthogonal polynomial modelconstruction of D-optimal main effect designsdeterminant invariance resultequal probability randomizationgeneral factorialHelmert matrix modelpermutation of levelssymmetrical factorial

Mathematics Subject Classification ID

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

Related Items (4)

A graphical construction of the D-optimal saturated, \(3\times s^{2}\) main effect, factorial design ⋮ Some D-optimal saturated designs for \(3\times m_{2}\times m_{3}\) factorials ⋮ D-optimal 2 × 2 × s₃ × s₄ saturated factorial designs ⋮ Fractional factorial designs of two and three levels

Cites Work

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• Further results on invariance and randomization in fractional replication
• On invariance and randomization in fractional replication
• Remarks on extension of the anderson-federer (0,1)-matrix procedure for main effects to effects of a higher degree
• Generalized Least Squares Estimators for Randomized Fractional Replication Designs
• Characterization of Optimal Saturated Main Effect Plans of the $2^n$ Factorial
• A Randomized Procedure of Saturated Main Effect Fractional Replicates
• Randomization and Factorial Experiments
• On a Complete Class of Linear Unbiased Estimators for Randomized Factorial Experiments

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