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Refers to the conditions under which a statistics procedure yields valid estimates and/or inference. E.g., many statistical techniques require the assumption that the data are randomly sampled in some way. Theoretical results about estimators usually require assumptions about the data generating mechanism.

20 votes
3 answers
17k views

Why do the ANOVA assumptions (equality of variance, normality of residuals) matter?

When running an ANOVA we are told that certain assumptions of the test must be present for it to be applicable to the data. … , but for the sake of argument, if these assumptions were utterly not met in a given data set, what would be the issue with using an ANOVA? …
PaperRockBazooka's user avatar
3 votes
1 answer
2k views

Maximum number of groups in Kruskal Wallis one-way analysis of variance

Is there a maximum number of groups in Kruskal Wallis' one-way ANOVA? I am looking at a data set with 42 separate groups and I am unsure if there would be some sort of issue in running that many group …
PaperRockBazooka's user avatar