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When would you use a Bonferroni ANOVA?
Bonferroni was used in a variety of circumstances, most commonly to correct the experiment-wise error rate when using multiple ‘t’ tests or as a post-hoc procedure to correct the family-wise error rate following analysis of variance (anova).
Why would you use an ANOVA over multiple t tests?
Every time you conduct a t-test there is a chance that you will make a Type I error. An ANOVA controls for these errors so that the Type I error remains at 5% and you can be more confident that any statistically significant result you find is not just running lots of tests.
When to use Bonferroni test or one way ANOVA?
•Following two-way ANOVA. If you have three or more columns, and wish to compare means within each row (or three or more rows, and wish to compare means within each column), the situation is much like one-way ANOVA. The Bonferroni test is offered because it is easy to understand, but we don’t recommend it.
Which is more rigorous the Tukey or Bonferroni method?
When used as a post hoc test after ANOVA, the Bonferroni method uses thresholds based on the t-distribution; the Bonferroni method is more rigorous than the Tukey test, which tolerates type I errors, and more generous than the very conservative Scheffé’s method.
Which is the best post hoc test for two way ANOVA?
For a two way anova you can use post hocs such as Tukey or Bonferroni. These type of post hocs are widely accepted for two way anovas and can be easily performed on statistical packages such as Graph Pad Prism or JMP.
When to use a Bonferroni test in prism?
Prism also lets you choose Bonferroni tests when comparing every mean with every other mean. We don’t recommend this. Instead, choose the Tukey test if you want to compute confidence intervals for every comparison or the Holm-Šídák test if you don’t. •Following two-way ANOVA.