Abstract

VELEZ, JORGE IVÁN; CORREA, JUAN CARLOS  and  ARCOS-BURGOS, MAURICIO. A New Method for Detecting Significant p-values with Applications to Genetic Data. Rev.Colomb.Estad. [online]. 2014, vol.37, n.1, pp.69-78. ISSN 0120-1751.  https://doi.org/10.15446/rce.v37n1.44358.

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 : Extreme values theory; p-value; Type I error probability; Multiple testing; Genetic data.

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