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A Levene's test is essentially like a t-test but instead of comparing means it's comparing variances.
If the test is significant, the homogeneity variance assumption is violated but we have a significant difference in variances. It's an effect.
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What if homogeneity variance is violated
Welch's procedure
ie adjusting the degrees of freedom and the p value.
The goal of this procedure is to protect ourselves against this increased probability of type one error that's often associated with violations of homogeneity variance.