Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions.

Dispersions can be heterogeneous, but for tests, it is necessary to assume that they conform to some principles, for example, that the distribution is normal. Violation of the assumptions can lead to errors in the conclusions and interpretations of the data. ANOVA tests are robust to a certain extent to such violations when sample sizes are equal. This means that the error rate tends to the critical alpha level. That is, it is small. At different sizes, the ANOVA does not show robustness.

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Academic.Tips. 2022. "Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions." November 18, 2022. https://academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/.

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