Direct products: a powerful tool for the analysis of balanced data

DOI10.1080/03610928208828431zbMath0507.62067OpenAlexW2127720058MaRDI QIDQ4745170

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Publication date: 1982

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928208828431

zbMATH Keywords

mixed-effects modelsbalanced modelsdistribution of sums of squares

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (9)

Generalized dispersion matrices for covariance structural analysis ⋮ Binary operations on Jordan algebras and orthogonal normal models ⋮ A Test to Detect Inadequacy of Satterthwaite's Approximation in Balanced Mixed Models ⋮ Exact tests for random models with unequal cell frequencies in the last stage ⋮ Dispersion matrix in balanced mixed ANOVA models ⋮ Exact tests and confidence intervals for ratio of variance components in unbalanced two-and three-stage nested designs ⋮ On unweighted sums of squares in unbalanced analysis of variance ⋮ Asymptotics for testing hypothesis in some multivariate variance components model under non-normality ⋮ Existence of maximum likelihood estimates in normal variance-components models

Cites Work

• When is a sum of squares an analysis of variance?
• Maximum likelihood analysis of the mixed model: the balanced case
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