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Table 3 Multivariate model of parametric models with and without frailty

From: Family history of the cancer on the survival of the patients with gastrointestinal cancer in northern Iran, using frailty models

variables Exponential Weibull Log-normal Log-logistic
  HR (P-value) HR (P-value) HR (P-value) HR (P-value)
  without frailty Gamma frailty Inv-Gussian frailty without frailty Gamma frailty Inv-Gussian frailty without frailty Gamma frailty Inv-Gussian frailty without frailty Gamma frailty Inv-Gussian frailty
Age(years) 1.005 (0.296) 1.01 (0.291) 1.01 (0.244) 1.01 (0.316) 1.01 (0.172) 1.01 (0.253) 1.01 (0.252) 1.01 (0.268) 1.01 (0.248) 1.01 (0.269) 1.01 (0.206) 1.01 (0.188)
Gender 1.12 (0.459) 1.32 (0.232) 1.25 (0.324) 1.11 (0.469) 1.47 (0.059) 1.22 (0.348) 1.37 (0.152) 1.64 (0.011)* 1.61 (0.022)* 1.28 (0.245) 1.45 (0.041)* 1.47 (0.042)*
Place of residence 1.15(0.199) 0.99 (0.945) 1.07 (0.668) 1.07 (0.514) 0.95 (0.714) 1.06 (0.697) 1.02 (0.901) 0.96 (0.768) 0.98 (0.891) 0.99 (0.992) 0.92 (0.492) 0.93 (0.568)
Province 0.76(0.069) 0.96 (0.814) 0.77 (0.132) 0.79(0.050)* 1.09 (0.611) 0.79 (0.161) 0.87 (0.412) 1.06 (0.709) 1.01 (0.989) 0.93 (0.669) 1.12 (0.393) 1.12 (0.453)
Type of cancer 0.87 (0.209) 0.95 (0.797) 0.88 (0.420) 0.9 (0.328) 0.99 (0.968) 0.88 (0.432) 0.93 (0.623) 1.05 (0.728) 1.02 (0.921) 0.94 (0.715) 1.03 (0.835) 1.02 (0.901)
Family history of cancer 1.85(< 0.001) * 1.69 (0.004)* 1.92 (< 0.001)* 1.54 (< 0.001)* 1.49 (0.009)* 1.82 (< 0.001)* 1.82 (0.001)* 1.47 (0.013)* 1.56 (0.007)* 1.72 (0.001)* 1.39 (0.016)* 1.43 (0.013)*
Education 0.6 (0.004)* 0.63 (0.114) 0.6 (0.054) 0.69(0.036)* 0.74 (0.213) 0.62 (0.059) 0.62 (0.071) 0.73 (0.201) 0.7 (0.150) 0.6 (0.060) 0.79 (0.307) 0.77 (0.270)
Marital status 1.61 (0.063) 1.64 (0.224) 1.75 (0.139) 1.45 (0.156) 1.49 (0.222) 1.69 (0.150) 1.67 (0.180) 1.35 (0.379) 1.47 (0.272) 1.67 (0.177) 1.31 (0.361) 1.39 (0.305)
Cigarette smoking 1.35 (0.014)* 0.99 (0.989) 1.23 (0.263) 1.2 (0.109) 0.9 (0.533) 1.2 (0.289) 1.06 (0.718) 0.84 (0.306) 0.9 (0.528) 1.03 (0.871) 0.85 (0.298) 0.87 (0.363)
Migration status 1.40 (0.047)* 1.35 (0.266) 1.43 (0.154) 1.23 (0.194) 1.37 (0.194) 1.39 (0.170) 1.45 (0.157) 1.35 (0.191) 1.41 (0.157) 1.35 (0.227) 1.28 (0.267) 1.3 (0.238)
Drug use 0.95 (0.727) 1.11 (0.624) 1.01 (0.958) 0.97 (0.837) 1.07 (0.674) 1.01 (0.944) 1.06 (0.758) 1.11 (0.561) 1.1 (0.614) 1.11 (0.598) 1.09 (0.618) 1.09 (0.637)
Method of cancer detection (Direct endoscopy and biopsy) 0.64 (0.023)* 0.89 (0.751) 0.73 (0.292) 0.76 (0.259) 1.11 (0.814) 0.76 (0.319) 0.84 (0.573) 1.11 (0.712) 1.06 (0.839) 0.85 (0.613) 1.07 (0.790) 1.08 (0.775)
Method of cancer detection (Clinical diagnosis) 0.39 (< 0.001)* 0.57 (0.142) 0.44 (0.011)* 0.51 (0.003)* 0.70 (0.495) 0.46 (0.013)* 0.56 (0.071) 0.95 (0.878) 0.84 (0.586) 0.52 (0.059) 0.93 (0.795) 0.88 (0.688)
Job (Employee) 1.06 (0.895) 0.85 (0.829) 0.95 (0.937) 0.98 (0.972) 0.69 (0.758) 0.93 (0.917) 1.13 (0.856) 1.89 (0.445) 1.71 (0.494) 0.85 (0.814) 0.84 (0.773) 0.83 (0.772)
Job (Others) 1.01 (0.926) 0.98 (0.918) 1.01 (0.944) 0.99 (0.996) 0.99 (1.00) 1.01 (0.972) 1.04 (0.832) 1.08 (0.638) 1.09 (0.618) 0.97 (0.873) 0.99 (0.936) 0.99 (0.967)
Ethnicity (Gilak) 1.35 (0.329) 0.53 (0.211) 0.87 (0.783) 1.08 (0.806) 0.22 (0.041)* 0.85 (0.745) 0.62 (0.351) 0.39 (0.027)* 0.42 (0.061) 0.58 (0.224) 0.43 (0.020)* 0.42 (0.023)*
Ethnicity (Torkaman) 1.33 (0.089) 1.30 (0.327) 1.35 (0.255) 1.23 (0.202) 1.34 (0.434) 1.32 (0.255) 1.24 (0.414) 1.04 (0.878) 1.04 (0.881) 1.34 (0.231) 1.23 (0.293) 1.21 (0.351)
Ethnicity (Others) 1.18 (0.377) 1.39 (0.267) 1.21 (0.490) 1.12 (0.517) 1.79 (0.160) 1.21 (0.476) 1.23 (0.469) 1.26 (0.344) 1.21 (0.465) 1.39 (0.229) 1.52 (0.062) 1.48 (0.092)
  1. * Significant at 0.05 level
  2. HR, Hazard rate