Tools to identify linear combination of prognostic factors which maximizes area under receiver operator curve

Todor, Nicolae; Todor, Irina; Săplăcan, Gavril

doi:10.1186/2043-9113-4-10

Journal of Clinical Bioinformatics

Table 1 Results of 20 simulations with 200 observations

From: Tools to identify linear combination of prognostic factors which maximizes area under receiver operator curve

Crt.Nb.	Time	AUC50	Time	AUC100	Time	AUC200	AUC100 - AUC50	AUC200 - AUC100
1	1314s (0H 21M 54 s)	0.7091	5033 s (1H 23M 53 s)	0.7098	20354 s (5H 39M 14 s)	0.7098	0.0007	0.0000
2	1283s (0H 21M 23 s)	0.6589	5154 s (1H 25M 54 s)	0.6589	31636 s (8H 47M 16 s)	0.6589	0.0000	0.0000
3	1501s (0H 25M 1 s)	0.6406	5842 s (1H 37M 22 s)	0.6412	23352 s (6H 29M 12 s)	0.6412	0.0006	0.0000
4	1173s (0H 19M 33 s)	0.6862	4681 s (1H 18M 1 s)	0.6862	25012 s (6H 56M 52 s)	0.6867	0.0000	0.0005
5	1277s (0H 21M 17 s)	0.6629	10790 s (2H 59M 50s)	0.6633	12321 s (3H 25M 21 s)	0.6638	0.0004	0.0005
6	1353s (0H 22M 33 s)	0.6715	4574 s (1H 16M 14 s)	0.6717	15292 s (4H 14M 52 s)	0.6726	0.0002	0.0009
7	1342s (0H 22M 22 s)	0.6761	5132 s (1H 25M 32 s)	0.6772	18625 s (5H 10M 25 s)	0.6773	0.0011	0.0001
8	1297s (0H 21M 37 s)	0.6944	6988 s (1H 56M 28 s)	0.6953	18813 s (5H 13M 33 s)	0.6954	0.0009	0.0001
9	1070s (0H 17M 50s)	0.6988	5399 s (1H 29M 59 s)	0.6990	19498 s (5H 24M 58 s)	0.6994	0.0002	0.0004
10	536 s (0H 8M 56 s)	0.6638	3022 s (0H 50M 22 s)	0.6640	18556 s (5H 9M 16 s)	0.6646	0.0002	0.0006
11	1329s (0H 22M 9 s)	0.6900	4766 s (1H 19M 26 s)	0.6902	20419 s (5H 40M 19 s)	0.6906	0.0002	0.0004
12	1288s (0H 21M 28 s)	0.6946	5086 s (1H 24M 46 s)	0.6948	20573 s (5H 42M 53 s)	0.6948	0.0002	0.0000
13	637 s (0H 10M 37 s)	0.6873	2454 s (0H 40M 54 s)	0.6875	21271 s (5H 54M 31 s)	0.6875	0.0002	0.0000
14	513 s (0H 8M 33 s)	0.7031	2025s (0H 33M 45 s)	0.7032	20139 s (5H 35M 39 s)	0.7040	0.0001	0.0008
15	952 s (0H 15M 52 s)	0.7200	2082s (0H 34M 42 s)	0.7202	21224 s (5H 53M 44 s)	0.7204	0.0002	0.0002
16	1176s (0H 19M 36 s)	0.7401	4923 s (1H 22M 3 s)	0.7413	27836 s (7H 43M 56 s)	0.7413	0.0012	0.0000
17	796 s (0H 13M 16 s)	0.7398	4332 s (1H 12M 12 s)	0.7399	18213 s (5H 3M 33 s)	0.7405	0.0001	0.0006
18	1296s (0H 21M 36 s)	0.6635	2534 s (0H 42M 14 s)	0.6638	20165 s (5H 36M 5 s)	0.6644	0.0003	0.0006
19	797 s (0H 13M 17 s)	0.7041	3407 s (0H 56M 47 s)	0.7045	20313 s (5H 38M 33 s)	0.7045	0.0004	0.0000
20	1420s (0H 23M 40s)	0.6825	5532 s (1H 32M 12 s)	0.6826	15051 s (4H 10M 51 s)	0.6826	0.0001	0.0000
Average	1117s (0H 18M 37 s)		4687 s (1H 18M 7 s)		20433 s (5H 40M 33 s)

AUC50, AU C100, AUC200 denotes the approximation of AUC by dividing interval $[- \frac{π}{2}, + \frac{π}{2}]$ in 50, 100, 200 equal parts.

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