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• W4221063013 abstract "Abstract In general linear modeling (GLM), eta squared ( η 2 ) is the dominant statistic for the explaining power of an independent variable. This article discusses a less-studied deficiency in η 2 : its values are seriously deflated, because the estimates by coefficient eta ( η ) are seriously deflated. Numerical examples show that the deflation in η may be as high as 0.50–0.60 units of correlation and in η 2 as high as 0.70–0.80 units of explaining power. A simple mechanism to evaluate and correct the artificial attenuation is proposed. Because the formulae of η and point-biserial correlation are equal, η can also get negative values. While the traditional formulae give us only the magnitude of nonlinear association, a re-considered formula for η gives estimates with both magnitude and direction in binary cases, and a short-cut option is offered for the polytomous ones. Although the negative values of η are not relevant when η 2 is of interest, this may be valuable additional information when η is used with non-nominal variables." @default.
• W4221063013 created "2022-04-03" @default.
• W4221063013 creator A5010014414 @default.
• W4221063013 date "2022-03-28" @default.
• W4221063013 modified "2023-09-25" @default.
• W4221063013 title "Artificial systematic attenuation in eta squared and some related consequences: attenuation-corrected eta and eta squared, negative values of eta, and their relation to Pearson correlation" @default.
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• W4221063013 doi "https://doi.org/10.1007/s41237-022-00162-2" @default.
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