Harmonic mean approach to uunbalanced random effects models under heteroscedasticity

DOI10.1080/03610928808829679zbMath0648.62075OpenAlexW2045305769MaRDI QIDQ3793563

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Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03610928808829679

zbMATH Keywords

Satterthwaite approximationnonnormalityestimation of variance componentshomoscedastic variancesheteroscedastic variancesbalanced modelsLaguerre polynomial expansionlinear combination of chi-square variablesharmonic mean approachunbalanced random effects models

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (1)

Efficiency properties of cell means variance component estimates

Cites Work

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• Cumulants of bilinear forms and quadratic forms and their applications
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• Statistical distributions in univariate and multivariate Edgeworth populations
• Some Alternative Expansions for the Distribution Function of a Noncentral Chi-Square Random Variable
• On the Roy-Tiku Approximation to the Distribution of Sample Variances from Nonnormal Universes
• On the distribution of quadratic forms in normal random variables
• The harmonic mean method for one-way and two-way analyses of variance
• Series Representations of Distributions of Quadratic Forms in Normal Variables. I. Central Case
• A Comparison of Three Different Procedures for Estimating Variance Components
• Approximating the general non-normal variance-ratio sampling distributions

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