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Table 1 Estimates of α, β, θ and proportions of variation for the directional dependence at Group I

From: A copula method for modeling directional dependence of genes

   FGM type Normal Type
Interacting genes AIC α ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqySdeMbaKaaaaa@2D84@ β ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqOSdiMbaKaaaaa@2D86@ θ ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqiUdeNbaKaaaaa@2D9B@ ρ C 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqyWdi3aa0baaSqaaiabdoeadbqaaiabikdaYaaaaaa@2FC3@ ρ U V ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqyWdi3aa0baaSqaaiabdwfavjabgkziUkabdAfawbqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@34BB@ ρ V U ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqyWdi3aa0baaSqaaiabdAfawjabgkziUkabdwfavbqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@34BB@ θ _ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaWaaecaaeaacqaH4oqCdaWgaaWcbaGaey4fIOcabeaaaOGaayPadaaaaa@2F72@ ρ n o r m 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeqyWdi3aa0baaSqaaiabd6gaUjabd+gaVjabdkhaYjabd2gaTbqaaiabikdaYaaaaaa@3450@
HHT1 vs HHT2 -33.5084 1.0152 1.0199 1.0772 0.1048 0.1048 0.1048 0.832 0.67143
HHT1 vs HHF1 -32.9113 1.0152 1.0222 1.0772 0.1044 0.1044 0.1044 0.062 0.00350
HHT1 vs HHF2 -34.7051 1.0152 1.0229 1.0772 0.1042 0.1043 0.1043 0.163 0.02428
HHT1 vs HTA1 -34.7998 1.0152 1.0162 1.0772 0.1054 0.1054 0.1054 0.243 0.05411
HHT1 vs HTA2 -34.0483 1.0152 1.0218 1.0772 0.1044 0.1045 0.1045 0.135 0.01664
HHT1 vs HTB1 -34.0410 1.0152 1.0105 1.0567 0.1064 0.1064 0.1064 0.387 0.13831
HHT1 vs HTB2 -31.1447 1.0152 1.0234 1.0772 0.1042 0.1042 0.1042 0.217 0.04310
HHT2 vs HHF1 -29.5856 1.0199 1.0199 1.0964 0.1039 0.1040 0.1040 0.389 0.13976
HHT2 vs HHF2 -34.4365 1.0199 1.0229 1.0966 0.1034 0.1035 0.1035 0.752 0.54199
HHT2 vs HTA1 -32.8950 1.0199 1.0162 1.0814 0.1046 0.1046 0.1046 0.745 0.53143
HHT2 vs HTA2 -32.3277 1.0199 1.0218 1.0966 0.1036 0.1037 0.1037 0.968 0.93103
HHT2 vs HTB1 -32.6642 1.0199 1.0105 1.0567 0.1056 0.1056 0.1056 0.037 0.00124
HHT2 vs HTB2 -27.7089 1.0199 1.0234 1.0966 0.1033 0.1034 0.1034 0.935 0.86317
HHF1 vs HHF2 -34.9456 1.0222 1.0229 1.1055 0.1030 0.1031 0.1031 0.054 0.00265
HHF1 vs HTA1 -32.8945 1.0222 1.0162 1.0814 0.1042 0.1043 0.1042 0.721 0.49612
HHF1 vs HTA2 -32.4444 1.0222 1.0218 1.1041 0.1032 0.1033 0.1033 0.839 0.68354
HHF1 vs HTB1 -32.2815 1.0222 1.0105 1.0567 0.1052 0.1052 0.1052 0.178 0.02896
HHF1 vs HTB2 -31.6114 1.0222 1.0234 1.1055 0.1030 0.1030 0.1030 0.134 0.01639
HHF2 vs HTA1 -34.6262 1.0229 1.0162 1.0814 0.1041 0.1041 0.1041 0.508 0.24056
HHF2 vs HTA2 -33.2097 1.0229 1.0218 1.1041 0.1031 0.1032 0.1032 0.707 0.47617
HHF2 vs HTB1 -34.9285 1.0229 1.0105 1.0567 0.1051 0.1051 0.1051 0.203 0.03770
HHF2 vs HTB2 -31.5427 1.0229 1.0234 1.1083 0.1028 0.1029 0.1029 0.897 0.78898
HTA1 vs HTA2 -34.1910 1.0162 1.0218 1.0814 0.1042 0.1043 0.1043 0.847 0.69754
HTA1 vs HTB1 -34.5808 1.0162 1.0105 1.0567 0.1062 0.1063 0.1062 0.247 0.05591
HTA1 vs HTB2 -30.5148 1.0162 1.0234 1.0814 0.1040 0.1040 0.1041 0.389 0.13976
HTA2 vs HTB1 -32.2491 1.0218 1.0105 1.0567 0.1052 0.1053 0.1053 0.370 0.12628
HTA2 vs HTB2 -31.1265 1.0218 1.0234 1.1041 0.1030 0.1031 0.1031 0.256 0.06009
HTB1 vs HTB2 -30.8025 1.0218 1.0234 1.1004 0.1032 0.1032 0.1033 0.729 0.50774