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When performing parametric statistical tests (especially t tests and ANOVA), why is the homogenity of variance important ?

I mean why do these tests care if the samples have significantly different variance ? Is it because the methods used to determine the test statistics require the same variances, or to interpret the results of these test statistics you need to assume the same variance for samples ?

Regards,

Thrillhouse

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# Importance of homogenity of variance

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