A New Method for Detecting Significant p-values with Applications to Genetic Data

Abstract

A new method for detecting significant p-values is described in this paper. This method, based on the distribution of the m-th order statistic of a U(0,1) distribution, is shown to be suitable in applications where m→∞ independent hypothesis are tested and it is of interest for a fixed type I error probability to determine those being significant while controlling the false positives. Equivalencies and comparisons between our method and others methods based-on p-values are also established, and a graphical representation of the distribution of the test statistic is depicted for different values of m. Finally, our proposal is illustrated with two microarray data sets.

Keywords

• teoría de valores extremos
• valor-p
• probabilidad de error tipo I
• comparaciones múltiples
• datos genéticos