Hello,
I have some patient data for my masters thesis with three groups (n=16, 19 &
20)
I have completed compiling the results of 7 tests, for which one of these
tests the variances are unequal.
I wish to perform an ANOVA between the three groups but for the one test
with unequal variance (<0.001 by both bartlett and levene's test) I am not
sure what to do.
I thought i would run ANOVA with bonferonni post-test for groups with equal
variances, then for the test with unequal variance i would use the welch
correction and games-howell post-test. Does this sound reasonable?
Someone has also recommended to me to use Kruskal-wallis ANOVA, then use
Wilcoxon sign rank test pairwise to determine which groups are significantly
different (ON ALL DATA, both equal and unequal variance tests). I don't
think this is right, for two reasons:
1) Kruskal-wallis is for non-gaussian data, and i have no reason to believe
they are not normal.
- I have run normality tests which say they are normal, although perhaps
my sample sizes are too small for a normality test?
2) i believe running pairwise Wilcoxon sign rank test is not acceptable
unless there is a post-test correction for multiple comparisons (i am not
aware of one); also on the wiki page for this test one of the assumptions
says "Under the null hypothesis the distributions of both groups are equal"
which i read to say that the variances must be equal.
So I think there recommendations were based more on sample size and
normality, and not my issue with variance?
Ultimately i would like to know if i am going about this right with my
deduction (ANOVA/Bonferonni of the test results, but welch correction and
games-howell for the test with significantly different variances). and if
not why and/or what you think is a better option.
most appreciated to any help received!
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