Bonferroni correction

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The Bonferroni correction states that if an experimenter is testing n independent hypotheses on a set of data, then the statistical significance level that should be used is n times smaller than usual. For example, when testing two hypotheses, instead of a p value of 0.05, one would use a stricter p value of 0.025. The Bonferroni correction is a safeguard against multiple tests of statistical significance on the same data, where 1/20 hypotheses tested will appear be significant at the alpha=0.05 level purely due to chance. It was developed by Carlo Emilio Bonferroni.

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