My research question specifically deals with testing the variances of 3+ groups for significant differences. I'm not looking to test an assumption of homoscedasticity for an ANOVA or any other test, but rather my end goal is the testing of variances. Unfortunately, I only have my own complete dataset but the other groups come from previously published works that only reported summary statistics (N, means, standard deviations)
Unfortunately I cannot ask the researchers for their original data since some of these studies are quite old. I've managed to simplify most of the Levene's test formula to only using what I have but I'm stuck at the principal transformation for the test and can't simplify it further.
Does anyone have any suggestions on how I may either conduct a Levene's with just this information or other tests of variance that might work for this dilemma. I have wondered about the use of the Hartley's test, but so many people warn against it that I'm cautious.