Heteroscedastic One-Way ANOVA and Lack-of-Fit Tests

By Michael G. Akritas, N. Papadatos. 2004

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Nonparametric methods for unbalanced multivariate data and many factor levels (2008, methodology): “Therefore, it makes sense to compare the matrices in each of the pairs(H1(X),G2(X)) and(H2(X),G3(X)) to construct valid tests for H0. For univariate designs, these sums of squares have been investigated recently [ 18 ,19].”
Leave‐Out Estimation of Variance Components (2018, unknown): “The statistic in (4) was analyzed by Akritas and Papadatos (2004) in the context of testing the null hypothesis that σ(2) α = 0 while allowing for heteroscedasticity at the group level.”
Global testing under sparse alternatives: ANOVA, multiple comparisons and the higher criticism (2010, methodology): “This is congruent with the performance of ANOVA in a standard one-way layout; see [1], who obtain the weak limit of the ANOVA F -ratio under various settings.”