Multiple Testing Problem in Hypothesis Tests using Bonferroni Correction and Holm-Bonferroni Method
The multiple testing problem arises in statistical inference when conducting numerous hypothesis tests simultaneously, leading to a high probability of false positives known as the Family-Wise Error Rate (FWER). To address this issue without inflating Type II error rates excessively, adjustment methods such as the Bonferroni correction and the Holm-Bonferroni method are employed to control FWER by modifying significance thresholds or applying stepwise procedures. These mechanisms operate within the domain of frequentist hypothesis testing to maintain the integrity of scientific conclusions against random chance in large-scale analytical experiments.
Multiple Testing Problem in Hypothesis Tests using Bonferroni Correction and Holm-Bonferroni Method
The multiple testing problem arises in statistical inference when conducting numerous hypothesis tests simultaneously, leading to a high probability of false positives known as the Family-Wise Error …