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.
Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions.
Answer by Academic.tip's expert
An answer to this question is provided by one of our experts who specializes in mathematics. Let us know how much you liked it and give it a rating.
Cite this page
Select a citation style:
References
Academic.Tips. (2022) 'Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions'. 28 November.
Reference
Academic.Tips. (2022, November 28). Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions. https://academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/
References
Academic.Tips. 2022. "Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions." November 28, 2022. https://academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/.
1. Academic.Tips. "Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions." November 28, 2022. https://academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/.
Bibliography
Academic.Tips. "Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions." November 28, 2022. https://academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/.
Work Cited
"Provide detailed explanations for the following comment: ANOVAs are shown to be robust to violations of assumptions." Academic.Tips, 28 Nov. 2022, academic.tips/question/provide-detailed-explanations-for-the-following-comment-anovas-are-shown-to-be-robust-to-violations-of-assumptions/.
Copy