Question

If Levene's test p value is higher than .05 but the p value in the original test was less than .05, what does that mean? If that a good thing or bad thing? I am comparing variance for two samples for an two independent samples t- test.

Answer 1

For Levene's Test, the Null Hypothesis is that the population variances are equal (called homogeneity of variance or homoscedasticity)

And we have the Rejection Rule of Rejecting the Null if p-value < 0.05.

Here since, the p-value > 0.05 so we fail to Reject the Null and conclude that the population variances are equal or the assumption of homogeneity of variance or homoscedasticity is satisfied.

Therefore, it is good that the population variances are equal and we can now use the t-test for equality of Means for two independent samples using pooled variance.