A New Method for Detecting Significant p-values with Applications to Genetic Data
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876441767470956544 |
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| author | Jorge Iván Vélez |
| author_facet | Jorge Iván Vélez |
| contents | A New Method for Detecting Significant p-values with Applications to Genetic Data Jorge Iván Vélez Juan Carlos Correa Mauricio Arcos-Burgos Física, Astronomía y Matemáticas value Genetic data Multiple testing Extreme values theory Type I error probability 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 ! 1 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. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327005 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| format | Artículo científico |
| id | redalyc_89931327005 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A New Method for Detecting Significant p-values with Applications to Genetic Data Jorge Iván Vélez Física, Astronomía y Matemáticas value Genetic data Multiple testing Extreme values theory Type I error probability A New Method for Detecting Significant p-values with Applications to Genetic Data Jorge Iván Vélez Juan Carlos Correa Mauricio Arcos-Burgos Física, Astronomía y Matemáticas value Genetic data Multiple testing Extreme values theory Type I error probability 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 ! 1 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. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327005 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| title | A New Method for Detecting Significant p-values with Applications to Genetic Data |
| topic | Física, Astronomía y Matemáticas value Genetic data Multiple testing Extreme values theory Type I error probability |
| url | https://www.redalyc.org/articulo.oa?id=89931327005 |