Type I and type II errors for Multiple Simultaneous Hypothesis Testing

Bounding the k-family-wise error-rate using resampling methods

author: Tijl De Bie, KU Leuven

Categories

Top: Mathematics: Statistics

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*Slides*
0:03	Bounding the k-family-wise error rate using resampling methods
0:25	Overview
1:37	Overview
2:38	Motivating example
4:09	A pattern function to quantify the state
4:42	The null hypothesis
5:40	Rejecting the null hypothesis
6:37	Motivating example
6:55	Motivating example
7:51	Alternative null hypotheses 1
9:05	Testing a single hypothesis 2
10:20	Alternative null hypotheses 3
10:47	Alternative null hypotheses 4
12:13	Alternative null hypotheses 5
13:38	Alternative null hypotheses 6
14:35	Bonferroni correction 1
15:46	Bonferroni correction 2
17:58	Randomisation (permutation) testing 1
19:16	Randomisation (permutation) testing 2
20:58	Subsampling the transformation group 1
22:31	Subsampling the transformation group 2
22:50	Subsampling the transformation group 3
24:53	The FWER 1
26:03	The FWER 2
29:30	The k-FWER 1
30:33	The k-FWER 2
32:36	A uniform bound on the k-FWER 1
33:34	A uniform bound on the k-FWER 3 2
35:11	A uniform bound on the k-FWER
36:56	The FDP 1
38:23	The FDP 2
39:14	Technical details
40:28	How to choose the thresholds?
42:28	Alon and Golub datasets 1
42:51	Alon and Golub datasets 2
46:02	Achievements

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