title: Calculation of the Per Hypothesis Error Rate via Sums of Steck's Determinants.
abstract: In this note we provide a straightforward approach for calculation of the per hypothesis error rate in a multiple testing framework given a general stepwise testing procedure. This approach is based on a general result due to coined Steck's determinant. This result allows for a direct comparison across various testing procedures and illustrates some common misperceptions regarding the optimality of each method.
authors.affiliation: Department of Biostatistics, University at Buffalo, USA.
authors.forename: Alan D
authors.initials: AD
authors.lastname: Hutson
keywords: Multiple outcomes; Multiple testing; Step-down and step-up procedures