Uncorrelated residuals and an exact test for two variance components in experimental design

DOI10.1080/03610929208830927zbMath0776.62060OpenAlexW2048256215MaRDI QIDQ4202680

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Publication date: 12 October 1993

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

Full work available at URL: https://researchrepository.murdoch.edu.au/id/eprint/4802/

zbMATH Keywords

linear modelvariance componentsrestricted likelihoodtwo-way layouttesting heteroscedasticityerror contrasts\(F\)-testsnon full rank design matrixuncorrelated residualsassumption of normality of errorsnatural partition of informationrecursive type residuals

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Parametric hypothesis testing (62F03) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (4)

New formulations for recursive residuals as a diagnostic tool in the fixed-effects linear model with design matrices of arbitrary rank ⋮ Exact testing for heteroscedasticity in a two-way layout in variety frost trials when incorporating a covariate ⋮ A review of robust regression and diagnostic procedures in linear regression ⋮ The specification of rank reducing observation sets in experimental design

Uses Software

• AS 194

Cites Work

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• Testing hypotheses in unbalanced variance components models for two-way layouts
• Algorithm AS 194: An Algorithm for Testing Goodness of Fit of ARMA (P,Q) Models
• Exact Tests for the Main Effects Variance Components in an Unbalanced Random Two-Way Model
• A method for testing the order of an autoregressive-moving average process
• Testing the homogeneity of variances in a two-way classification
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Confidence Intervals and Tests for Variance Ratios in Unbalanced Variance Components Models
• Recovery of inter-block information when block sizes are unequal
• Linear Statistical Inference and its Applications
• The Helmert Matrices
• Properties of sufficiency and statistical tests

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