The ANOVA \(F\) test can still be used in some balanced designs with unequal variances and nonnormal data

DOI10.1016/j.jspi.2003.09.010zbMath1076.62073OpenAlexW1990159348WikidataQ56385189 ScholiaQ56385189MaRDI QIDQ1888303

Arne C. Bathke

Publication date: 23 November 2004

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.09.010

zbMATH Keywords

Analysis of varianceHeteroscedasticityNonnormalityType I error robustnessUnequal variances

Mathematics Subject Classification ID

Factorial statistical designs (62K15) Analysis of variance and covariance (ANOVA) (62J10) Asymptotic properties of parametric tests (62F05)

Related Items (15)

Testing for random effect in the Fuller–Battese model ⋮ Testing for cross-sectional dependence in a panel factor model using the wild bootstrap \(F\) test ⋮ Approximate tests in unbalanced two-way random models without interaction ⋮ Generating and improving orthogonal designs by using mixed integer programming ⋮ A modified two-factor multivariate analysis of variance: asymptotics and small sample approxi\-mations ⋮ The impact of Levene's test of equality of variances on statistical theory and practice ⋮ Testing for main random effects in two-way random and mixed effects models: modifying the F statistic ⋮ Rank-Based Inference for Multivariate Data in Factorial Designs ⋮ Nonparametric methods in multivariate factorial designs for large number of factor levels ⋮ Testing homogeneity of variances with unequal sample sizes ⋮ Rank procedures for a large number of treatments ⋮ Hypothesis testing in linear regression when \(k/n\) is large ⋮ Multinomial Selection in the Presence of Infinite Alternatives ⋮ Rank tests in heteroscedastic multi-way HANOVA ⋮ A mixed model for complete three or higher-way layout with two random effects factors

Cites Work

• ANOVA for a large number of treatments
• ANOVA and rank tests when the number of treatments is large
• The Rank Transform Method in Some Two-Factor Designs
• Cumulants of bilinear forms and quadratic forms and their applications
• Asymptotics for Analysis of Variance When the Number of Levels is Large
• Heteroscedastic One-Way ANOVA and Lack-of-Fit Tests
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