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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.