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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
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