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    Variance Assumption of ANOVAs and Parametric Tests

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    Listed the assumptions of ANOVAs and parametric tests.

    Why do we need the equal variance assumption? What is the purpose and how does it relate to the tests/measurements used? What is the general rule about when violations of the equal variance assumption are likely to lead to serious inaccuracies in results?

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    Solution Preview

    • Many statistical techniques assume equal variance
    • We have been dealing with parametric hypothesis tests, mainly the different version of the t-test
    • ANOVA tests the hypothesis that the means are equal, not that variance are equal
    • To assuming normality ANOVA assumes that variances are equal for each treatment.
    • Models fitted by regression analysis are evaluated ...

    Solution Summary

    Variance assumptions of ANOVAs and parametric tests are analyzed.