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Table 4 Summary of model comparison among the Cox proportional hazard model, parametric Cox- Regression models and frailty models using AIC, BIC LR criteria

From: Incidence and predictors of virological failure among adult HIV patients on first-line antiretroviral therapy in Amhara regional referral hospitals; Ethiopia: a retrospective follow-up study

Model

Baseline Hazard

Frailty

Variance

AIC

BIC

Log-likelihood

Cox regression

Unspecific

  

622.50

706.38

− 291.25

Weibull regression

Weibull

  

313.15

405.43

− 134.57

Univariate frailty

Weibull

Gamma

1.4e−07(p = 1.00)

315.16

411.42

− 131.23

Univariate frailty

Weibull

Inv_Gaussian

2.81e−07(p = 1.00)

315.16

411.62

−134.57

Shared frailty (Hospital)

Weibull

Gamma

8.42e−07(p = 1.00)

315.16

411.62

.131.23

Exponential

Exponential

  

372.74

460.82

− 165.37

Gompertz

Gompertz

  

322.04

426.27

− 139.02

Loglogistic regression

Log logistic

  

318.81

411.09

− 137.40

Lognormal regression

Log normal

  

325.21

417.48

− 140.60