how can you counter the problem of heteroscedasticity in factorial designs?
To counter the problem for the potential heterogeneity the
Welch-Satterthwaite test is commonly used as an alternative to the
t test for detecting the substantive significance of a linear
combination of mean effects.
Welch’s t-test, unlike Student’s t-test, does not have the
assumption of equal variance (however, both tests have the
assumption of normality). When two groups have equal sample sizes
and variances, Welch’s tends to give the same result as Student’s.
However, when sample sizes and variances are unequal, Student’s
t-test is quite unreliable; Welch’s tends perform better.
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