Analysis of unbalanced factorial designs with heteroscedastic data

DOI10.1080/00949650802482386zbMath1185.62139OpenAlexW1975295975MaRDI QIDQ5306306

M. P. Fernández, Pablo Livacic-Rojas, Guillermo Vallejo

Publication date: 8 April 2010

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949650802482386

zbMATH Keywords

model comparisonsgeneral linear modelBox-Cox transformationsBox-typerandom heteroscedastic errorstype I, II and III sums of squaresWelch-James generalizations

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Hypothesis testing in multivariate analysis (62H15) Monte Carlo methods (65C05) Factorial statistical designs (62K15)

Related Items (8)

Testing homogeneity for multiple nonnegative distributions with excess zero observations ⋮ Asymptotic‐based bootstrap approach for matched pairs with missingness in a single arm ⋮ Parametric and nonparametric bootstrap methods for general MANOVA ⋮ MATS: inference for potentially singular and heteroscedastic MANOVA ⋮ Semiparametric inference on the means of multiple nonnegative distributions with excess zero observations ⋮ Nonparametric methods for clustered data in pre-post intervention design ⋮ Computational approximation of the likelihood ratio for testing the existence of change-points in a heteroscedastic series ⋮ A Comparison of Efficient Permutation Tests for Unbalanced ANOVA in Two by Two Designs and Their Behavior Under Heteroscedasticity

Uses Software

• SAS
• MIXED
• PROC GLM
• SAS/STAT

Cites Work

• A method for simulating non-normal distributions
• The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression
• Robust and powerful nonorthogonal analyses
• Robust nonorthogonal analyses revisited: An update based on trimmed means
• The Use of the R()-Notation with Unbalanced Data
• Inference and missing data
• Small Sample Inference for Fixed Effects from Restricted Maximum Likelihood
• Box-Type Approximations in Nonparametric Factorial Designs
• Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification
• Unnamed Item
• Unnamed Item

This page was built for publication: Analysis of unbalanced factorial designs with heteroscedastic data