Zur Optimalitaet des F-Testes für lineare Hypothesen über lineare Modelle mit gemischten Effekten

DOI10.1007/BF02056905zbMath0519.62055MaRDI QIDQ1054422

P. Roebruck

Publication date: 1983

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/175886

zbMATH Keywords

interactionsLatin squaresinvariantlinear hypothesestreatment effectsunbiasedrandom blocksspectral decomposition of covariance matrixanalysis-of-variance-testF testmixed linear modelssplit-plot-modelsuniformly most powerful

Mathematics Subject Classification ID

Analysis of variance and covariance (ANOVA) (62J10)

Related Items (1)

Optimal designs for three-factorial split-plot models with random block effects

Cites Work

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• Optimal testing for fixed effects in general balanced mixed classification models
• On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
• Canonical forms and tests of hypotheses: Part I: The general univariate mixed model
• Theorems Concerning Eisenhart's Model II
• Optimal Split-plot Designs for a Mixed Model
• On the Optimality ofF-test on Variance Components in Mixed Linear Models
• Properties of Model II--Type Analysis of Variance Tests, A: Optimum Nature of the $F$-Test for Model II in the Balanced Case

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