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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