Timeline for How come we have Bonferroni correction when we have ANOVA analysis?
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| Aug 6, 2016 at 18:29 | comment | added | Bonferroni | I disagree with basically all of Frank Harrell's statements above. First of all, ANOVA is not a multiplicity adjustment, as I stated in my answer. Rather, it avoids multiplicity by conducting only one test. Second, looking at individual differences does not typically require conducting an omnibus ANOVA. Lastly, the Bonferroni procedure can be used to produce simultaneous confidence intervals, so to say you should use simultaneous confidence intervals "instead" of Bonferroni doesn't appear to make sense. | |
| Mar 25, 2016 at 12:39 | comment | added | Frank Harrell | ANOVA is the first step. It has a perfect multiplicity adjustment and provides evidence for any difference. If the ANOVA is not significant you are on shaky ground to look at individual differences. But instead of Bonferroni for the individual contrasts I would use simultaneous confidence intervals. | |
| Mar 25, 2016 at 12:38 | comment | added | amoeba | +1 but your answer would improve if you elaborated on what exactly "a single test of all the groups at once" means. What is the null hypothesis of ANOVA? What are the null hypotheses if one performs all pairwise comparisons? Etc. | |
| Mar 25, 2016 at 12:01 | comment | added | user46925 | interesting - so in that case ANOVA seems useless to me. | |
| Mar 25, 2016 at 11:58 | history | answered | Bonferroni | CC BY-SA 3.0 |