Multiclass classification of microarray data samples with a reduced number of genes

BMC Bioinformatics

Table 3 The stability of gene selection attained by OAA and ECOC classifiers

						p-values^a
Dataset	M	n	S-ECOC(F)	S-OAA(G)	F ≠ G	F > G	MW
200 Montecarlo 4:1 train-test partitions at η = 5
Lymphoma	3	NA	NA	0.5539	NA	NA	NA
SRCBT	4	9	0.6835	0.5652	< 2.2e-16	0.99979	< 2.2e-16
Brain	5	9	0.4643	0.4315	< 2.2e-16	0.02363	< 2.2e-16
NCI60	8	9	0.4313	0.4365	< 2.2e-16	< 2.2e-16	1
Staunton	9	12	0.4129	0.4119	< 2.2e-16	< 2.2e-16	0.73628
GCM RM	11	11	0.6043	0.6143	< 2.2e-16	< 2.2e-16^b	< 2.2e-16
Su	11	13	0.6286	0.5461	< 2.2e-16	0.99594	< 2.2e-16
GCM	14	12	0.6783	0.5886	< 2.2e-16	1	< 2.2e-16
200 Montecarlo 4:1 train-test partitions at η = 10
Lymphoma	3	11	0.6093	0.5539	< 2.2e-16	1	< 2.2e-16
SRCBT	4	9	0.6745	0.5652	< 2.2e-16	1	< 2.2e-16
Brain	5	15	0.4582	0.4315	< 2.2e-16	0.00213^b	< 2.2e-16
NCI60	8	14	0.4234	0.4365	< 2.2e-16	< 2.2e-16	1
Staunton	9	19	0.4185	0.4119	< 2.2e-16	< 2.2e-16	5.93e-07
GCM RM	11	12	0.6112	0.6143	< 2.2e-16	6.83e-08^b	< 2.2e-16
Su	11	17	0.6423	0.5461	< 2.2e-16	0.99154	< 2.2e-16
GCM	14	12	0.6650	0.5886	< 2.2e-16	0.42216	< 2.2e-16
200 Montecarlo 4:1 train-test partitions at η = 15
Lymphoma	3	11	0.6093	0.5539	< 2.2e-16	1	< 2.2e-16
SRCBT	4	9	0.6740	0.5652	< 2.2e-16	1	< 2.2e-16
Brain	5	18	0.4591	0.4315	< 2.2e-16	0.00165^b	< 2.2e-16
NCI60	8	16	0.4170	0.4365	< 2.2e-16	< 2.2e-16	1
Staunton	9	19	0.4168	0.4119	< 2.2e-16	< 2.2e-16	0.02409
GCM RM	11	12	0.6124	0.6143	< 2.2e-16	8.46e-05^b	< 2.2e-16
Su	11	17	0.6405	0.5461	< 2.2e-16	0.99154	< 2.2e-16
GCM	14	12	0.6578	0.5886	< 2.2e-16	0.03809^b	< 2.2e-16

The stability of gene selection attained by ECOC classifiers of size at most ⌈η·log₂M⌉ and OAA classifiers under bounded optimum S 2N gene selection over 200 Montecarlo 4:1 train-test partitions. M and n respectively denote the median number of binary classifiers at OAA and ECOC classifiers. S-ECOC and S-OAA respectively denote the stability of gene selection attained by ECOC and OAA classifiers measured by the Salton's coefficient. S-ECOC and S-OAA are denoted as F and G for purposes of KS tests, respectively.
^a p-values of two-sided KS tests, one-sided KS tests and one-sided MW tests. The alternative hypothesis of two-sided KS tests is "the stability of gene selection in ECOC classifiers (F) is different from that in OAA classifiers (G)", i.e., the relationship between corresponding CDFs is F ≠ G. The alternative hypothesis for one sided KS tests is "the stability of gene selection in ECOC classifiers (F) is lower than that OAA classifiers (G)", i.e., the relationship between corresponding CDFs is F >G. The alternative hypothesis of one-sided MW tests is "the median stability of gene selection in ECOC classifiers is higher than that of OAA classifiers".
^b Difficult to definitely compare. Highly significant p-values for both one-sided KS tests.

ISSN: 1471-2105