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Explain the assumptions that must be satisfied in order to validly use the one-way ANOVA formulas.

From Wikipedia:

The results of a one-way ANOVA can be considered reliable as long as the following assumptions are met:

• Response variable residuals are normally distributed (or approximately normally distributed).
• Variances of populations are equal.
• Responses for a given group are independent and identically distributed normal random variables (not a simple random sample).

If data are ordinal, a non-parametric alternative to this test should be used instead. If the variances are not known to be equal, a generalization of 2-sample Welch's t-test can be used.

Hope this helps!

@Catracho (https://biology-forums.com/index.php?action=profile;u=825455)

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