2019
DOI: 10.5334/irsp.198
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Taking Parametric Assumptions Seriously: Arguments for the Use of Welch’s <i>F</i>-test instead of the Classical <i>F</i>-test in One-Way ANOVA

Abstract: When comparing independent groups researchers often analyze the means by performing a Student's t-test or classical Analysis of Variance (ANOVA) F-test (Erceg-Hurn & Mirosevich, 2008; Keselman et al., 1998; Tomarken & Serlin, 1986). Both tests rely on the assumptions that independent and identically distributed residuals (1) are sampled from a normal distribution and (2) have equal variances between groups (or homoscedasticity; see Lix, Keselman, & Keselman, 1996). While a deviation from the normality assumpti… Show more

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Cited by 185 publications
(123 citation statements)
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“…Manuscript to be reviewed generally does not have strong effects on the Type I error rates or the power of the F-test (Delacre, Leys, Mora, & Lakens, 2018;Harwell et al, 1992;Tiku, 1971).…”
Section: Resultsmentioning
confidence: 99%
“…Manuscript to be reviewed generally does not have strong effects on the Type I error rates or the power of the F-test (Delacre, Leys, Mora, & Lakens, 2018;Harwell et al, 1992;Tiku, 1971).…”
Section: Resultsmentioning
confidence: 99%
“…In the current study, the sample sizes were unequal since categories were created after the data collection, making them naturally unequal. The W-test has been recommended as a robust test where there are doubts about homogeneity of variances and thus the standard F-test cannot be used [27]. Games-Howell post hoc test was used to separate the means where Welch's test showed significant differences among categories.…”
Section: Discussionmentioning
confidence: 99%
“…Further analysis to ascertain differences between the three groups of respondents in sugarcane productivity was done using Welch's Analysis of Variance. This was an appropriate test to use since the standard ANOVA could not be used as the sample sizes and variances were not homogeneous [27]. Welch's ANOVA revealed a significant (P = 0.001) productivity difference among the groups.…”
Section: Risk Of Changing Over To New Varietiesmentioning
confidence: 99%
“…Levene's Test for equality of variances often fails to detect [31]. For stimulation data, Mann-Whitney's tests were run with between-subject factor Condition (Sham vs. Actual stimulation).…”
Section: Discussionmentioning
confidence: 99%