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When to use Bonferroni correction in FWER control?
With respect to FWER control, the Bonferroni correction can be conservative if there are a large number of tests and/or the test statistics are positively correlated. The correction comes at the cost of increasing the probability of producing false negatives, i.e., reducing statistical power.
How to make a Bonferroni multiple significance correction?
If you wish to make a Bonferroni multiple-significance-test correction, compare the reported significance probability with your chosen significance level, e.g., .05, divided by the number of t-tests in the Table. According to Bonferroni, if you are testing the null hypothesis at the p≤.05 level: “There is no effect in this test.”
What does Bonferroni say about number of t tests?
The Bonferroni correction says, “if any of the t-tests in the list has p≤.05/ (number of t-tests in the list), then the hypothesis is rejected”. What is important is the number of tests, not how many of them are reported to have p≤.05.
When to use Bonferroni correction for null hypothesis?
If you have a list of t-tests and a significant result for even one of those t-tests rejects the null-hypothesis, then Bonferroni correction (or similar).
How does the Bonferroni correction compensate for an increase in Alpha?
The Bonferroni correction compensates for that increase by testing each individual hypothesis at a significance level of , where is the desired overall alpha level and is the number of hypotheses. For example, if a trial is testing hypotheses with a desired , then the Bonferroni correction would test each individual hypothesis at .
Are there any alternatives to the Bonferroni method?
Alternatives to the Bonferroni correction method 1 Sidak method 2 Tukey method 3 Holm-Bonferroni method 4 Hochberg method 5 Dunnett method More
Which is more powerful the Bonferroni correction or the Sidak correction?
There are alternative ways to control the familywise error rate. For example, the Holm–Bonferroni method and the Šidák correction are universally more powerful procedures than the Bonferroni correction, meaning that they are always at least as powerful.