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A set-output point of view on FDR control in multiple testing
Published on Jun 10, 20073323 Views
Chapter list
A set-output point of view on FDR control00:00
Outline00:15
Outline0100:54
General Setting of multiple testing01:06
General Setting of multiple testing0101:35
General Setting of multiple testing0202:05
General Setting of multiple testing0302:55
Type I error03:23
Type I error0103:32
Type I error0203:55
Type I error0304:47
Goal in FDR control05:37
Goal in FDR control0106:01
Goal in FDR control0206:25
Part I - A set-output point of view<br> on classical procedures06:38
I.1. The \"cardinal control\" condition06:50
I.1. The \"cardinal control\" condition0107:05
I.1. The \"cardinal control\" condition0207:17
I.1. The \"cardinal control\" condition0308:08
I.1. The \"cardinal control\" condition (2)08:39
I.1. The \"cardinal control\" condition (2)0110:16
I.1. Condition () ) FDR control10:45
I.1. Condition () ) FDR control0111:46
I.1. Condition () ) FDR control0212:28
I.1. Condition () ) FDR control0313:11
I.1. Proof of Lemma 113:22
I.1. Proof of Lemma 1 0113:27
I.1. Proof of Lemma 213:38
I.2. Step-up procedures satisfy ()14:03
I.2. Step-up procedures satisfy () 0114:32
I.2. Step-up procedures satisfy () 0215:16
I.2. Using Lemma 115:31
I.2. Using Lemma 1 0115:56
I.2. Using Lemma 1 0216:02
I.2. Using Lemma 1 0316:17
I.2. Using Lemma 1 0416:29
I.2. Using Lemma 216:54
I.2. Using Lemma 2 0117:26
I.2. Using Lemma 2 0217:31
I.2. Using Lemma 2 0318:08
I.2. Using Lemma 2 0418:58
I.2. Threshold functions with Dirac prior19:03
I.2. Threshold functions with Dirac prior 0119:50
I.2. Threshold functions with power prior20:06
I.2. Threshold functions with power prior 0120:23
I.2. Threshold functions with power prior 0220:35
I.2. Threshold functions with Gaussian prior21:27
I.2. Open problems22:05
I.2. Open problems 0122:12
I.2. Open problems 0222:26
I.2. Open problems 0322:45
Part I I - New adaptive procedures22:57
I I.1. 0-adaptive procedures23:13
I I.1. 0-adaptive procedures 0123:39
I I.1. 0-adaptive procedures 0224:05
I I.1. 0-adaptive procedures 0324:35
I I.1. 0-adaptive procedures 0424:53
I I.1. 0-adaptive procedures 0525:22
I I.1. 0-adaptive procedures 0625:37
I I.1. Existing 0-adaptive procedures26:00
I I.1. Existing 0-adaptive procedures 0126:19
I I.1. Existing 0-adaptive procedures 0227:01
I I.1. New 0-adaptive procedures27:47
I I.1. New 0-adaptive procedures 0128:15
I.1. New one-stage adaptive procedure28:27
I.1. New one-stage adaptive procedure 0129:10
I.1. New one-stage adaptive procedure 0229:27
I I.1. New two-stages adaptive procedure29:58
I I.1. New two-stages adaptive procedure 0130:27
I I.1. New two-stages adaptive procedure 0230:53
I I.1. Simulations31:15
I I.1. Simulations 0131:36
I I.1. Simulations 0231:56
I I.1. Simulations 0332:00
I I.1. Simulations, FDR, indep32:30
I I.1. Simulations, FDR, indep 0133:23
I I.1. Simulations, Power, indep33:46
I I.1. Simulations, Power, indep 0134:05
I I.1. Simulations, FDR, with corr34:16
I I.1. Simulations, FDR, with corr 0134:46
I I.2. Under general dependence35:12
I I.2. Under general dependence 0135:37
I I.2. New two-stages adaptive procedure36:29
I I.2. New two-stages adaptive procedure 0137:03
I I.2. New two-stages adaptive procedure 0237:38
I I.2. New two-stages adaptive procedure 0337:49
Conclusion37:57
Future works38:35
Future works 0138:45
Future works 0239:29
Thank you for your attention!39:44