Positive False Discovery Rate Estimate in Step-Wise Variable Selection

2007 ◽  
Vol 36 (6) ◽  
pp. 1217-1231 ◽  
Author(s):  
Lang Li ◽  
Siu Hui
2007 ◽  
Vol 17 (5) ◽  
pp. 883-902 ◽  
Author(s):  
Lang Li ◽  
Siu Hui ◽  
Gene Pennello ◽  
Zeruesenay Desta ◽  
Skaar Todd ◽  
...  

2018 ◽  
Vol 8 (2) ◽  
pp. 313-341
Author(s):  
Jiajie Chen ◽  
Anthony Hou ◽  
Thomas Y Hou

Abstract In Barber & Candès (2015, Ann. Statist., 43, 2055–2085), the authors introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and proved that this method achieves exact FDR control. Inspired by the work by Barber & Candès (2015, Ann. Statist., 43, 2055–2085), we propose a pseudo knockoff filter that inherits some advantages of the original knockoff filter and has more flexibility in constructing its knockoff matrix. Moreover, we perform a number of numerical experiments that seem to suggest that the pseudo knockoff filter with the half Lasso statistic has FDR control and offers more power than the original knockoff filter with the Lasso Path or the half Lasso statistic for the numerical examples that we consider in this paper. Although we cannot establish rigourous FDR control for the pseudo knockoff filter, we provide some partial analysis of the pseudo knockoff filter with the half Lasso statistic and establish a uniform false discovery proportion bound and an expectation inequality.


2006 ◽  
Vol 136 (8) ◽  
pp. 2668-2684 ◽  
Author(s):  
Debashis Ghosh ◽  
Wei Chen ◽  
Trivellore Raghunathan

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