Encyclopedia of Biostatistics 2005
DOI: 10.1002/0470011815.b2a15014
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Bonferroni Inequalities and Intervals

Abstract: The first‐order Bonferroni inequality relates the probability that at least one of a series of events occurs to the sum of the probabilities of the individual events. In statistical applications, it provides an upper bound to the probability of falsely rejecting at least one of a series of true null hypotheses, and therefore, a possible correction to a significance level to account for multiplicity of hypotheses tested. Further developments include sequential rejection procedures and the use of higher‐order Bo… Show more

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“…The multiple significance level across the four primary tests was set to 5% (two-sided). In order to adjust for multiple testing, the Bonferroni method [22] was applied. The primary results provide confirmatory statistical evidence.…”
Section: Methodsmentioning
confidence: 99%
“…The multiple significance level across the four primary tests was set to 5% (two-sided). In order to adjust for multiple testing, the Bonferroni method [22] was applied. The primary results provide confirmatory statistical evidence.…”
Section: Methodsmentioning
confidence: 99%
“…Post hoc tests for pairwise comparisons were performed when global tests reached significance at the 5% level ( p Ͻ 0.05). The Bonferroni's correction (Costigan, 1998) was applied to pairwise tests: a difference was considered significant when the p value was Ͻ0.0167 (0.05/3). Statistical analyses were performed using the Stata software package (version 8.0; Stata, College Station, TX) by the Center for Biostatistics at the University of Connecticut Health Center.…”
Section: Methodsmentioning
confidence: 99%