The core principle involves maintaining a global probability threshold for Type I errors across a family of statistical hypotheses by controlling the Family-Wise Error Rate (FWER). This formal mechanism utilizes the Bonferroni inequality to adjust individual significance levels inversely proportional to the number of tests performed, ensuring that the probability of making at least one false discovery remains bounded. As a foundational component within frequentist inference and multiple testing theory, this concept defines the rigorous constraints necessary for preserving statistical validity in high-dimensional experimental designs.
The theory addresses Family-Wise Error Rate (FWER) control within multiple hypothesis testing frameworks to prevent Type I error inflation when conducting independent or dependent tests simultaneousl…