Question

how can you counter the problem of heteroscedasticity in factorial designs?

how can you counter the problem of heteroscedasticity in factorial designs?

Homework Answers

Answer #1

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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