In this Python tutorial, you will learn how to 1) perform Bartlett’s Test, and 2) Levene’s Test. Both are tests that are testing the assumption of equal variances. Equality of variances (also known as homogeneity of variance, and homoscedasticity) in population samples is assumed in commonly used comparison of means tests, such as Student
Cochran's C test. In statistics, Cochran's C test, [1] named after William G. Cochran, is a one-sided upper limit variance outlier test. The C test is used to decide if a single estimate of a variance (or a standard deviation) is significantly larger than a group of variances (or standard deviations) with which the single estimate is supposed
Mauchly's Test of Sphericity tests the null hypothesis that the variances of the differences are equal. Thus, if Mauchly's Test of Sphericity is statistically significant ( p < .05), we can reject the null hypothesis and accept the alternative hypothesis that the variances of the differences are not equal (i.e., sphericity has been violated).
4 days ago · Okay, so originally our ANOVA gave us the result F (2,15)=18.6, whereas the Welch one-way test gave us F (2,9.49)=26.32. In other words, the Welch test has reduced the within-groups degrees of freedom from 15 to 9.49, and the F-value has increased from 18.6 to 26.32. This page titled 14.9: Removing the Homogeneity of Variance Assumption is
Thus, with the equivalence-based procedure, the alternative hypothesis is aligned with the research hypothesis (variance equality). A simulation study demonstrated that the equivalence-based test of population variance homogeneity is a better gatekeeper for the ANOVA than traditional homogeneity of variance tests.
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how to test homogeneity of variance