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Table 1 Analysis of real data with CASh and t-test.

From: Combining Shapley value and statistics to the analysis of gene expression data in children exposed to air pollution

 

CASh

t-test

CASh, t-test

p-value

Genes

v ¯ T P + MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgUcaRaaaaaa@30CB@

v ¯ T P − MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgkHiTaaaaaa@30D6@

Genes

TP up

TP down

Intersection

< 0.0001

20

16

4

16

15

1

7

< 0.001

33

27

6

62

48

14

17

< 0.01

159

107

52

265

169

96

92

< 0.05

434

245

189

762

408

354

272

  1. Overview of the number of genes with p-values lower than predefined cutoffs (first column). Columns 'Genes' show the total number of genes selected by CASh and t-test, respectively; column ' v ¯ T P + MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgUcaRaaaaaa@30CB@ ' shows the number of genes with Shapley value significantly different in microarray game v ¯ T P + MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgUcaRaaaaaa@30CB@ as compared to v ¯ P R + MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdcfaqjabdkfasjabgUcaRaaaaaa@30C7@ ; column ' v ¯ T P − MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgkHiTaaaaaa@30D6@ ' shows the number of genes with Shapley value significantly different in microarray game v ¯ T P − MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdsfaujabdcfaqjabgkHiTaaaaaa@30D6@ as compared to v ¯ P R − MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafmODayNbaebadaahaaWcbeqaaiabdcfaqjabdkfasjabgkHiTaaaaaa@30D2@ ; column 'TP up' shows the number of genes up-regulated in children from TP as compared to children from PR; column 'TP down' shows the number of genes up-regulated in children from TP as compared to children from PR; column 'Intersection' shows the number of genes selected by both t-test and CASh at different levels of p-value.