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Generalized Augmentation to Control the False Discovery Exceedance in Multiple Testing
Author(s) -
FARCOMENI ALESSIO
Publication year - 2009
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/j.1467-9469.2008.00633.x
Subject(s) - benchmark (surveying) , mathematics , false discovery rate , multiple comparisons problem , gauge (firearms) , statistical hypothesis testing , set (abstract data type) , statistics , computer science , biochemistry , chemistry , gene , history , geodesy , archaeology , programming language , geography
. A new multiple testing procedure, the generalized augmentation procedure (GAUGE), is introduced. The procedure is shown to control the false discovery exceedance and to be competitive in terms of power. It is also shown how to apply the idea of GAUGE to achieve control of other error measures. Extensions to dependence are discussed, together with a modification valid under arbitrary dependence. We present an application to an original study on prostate cancer and on a benchmark data set on colon cancer.