The Bonferroni procedure is a statistical adjustment to the significance level of hypothesis tests when multiple tests are being performed. The purpose of an adjustment such as the Bonferroni procedure is to reduce the probability of identifying significant results that do not exist, that is, to guard against making Type I errors (rejecting null hypotheses when they are true) in the testing process. This potential for error increases with an increase in the number of tests being performed in a given study and is due to the multiplication of probabilities across the multiple tests. The Bonferroni procedure is often used as an adjustment in multiple comparisons after a significant finding in an analysis of variance (ANOVA) or when constructing simultaneous confidence intervals for several population ...
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