Journal of Mathematics / 2023 / Article / Tab 8 / Research Article
New Cure Rate Survival Models Generated by Poisson Distribution and Different Regression Structures with Applications to Cancer Data Set Table 8 Model comparison using the simulated average of AIC and BIC and the percentage of the lowest AIC and BIC corresponding to the link functions in the simulation studies with covariates.
True link is the logit Model Information criteria Logit Cauchit Aranda-Ordaz Probit Log-log Skewed logit Skewed probit PGcr 150 Average of AIC (% lowest AIC) −433.57 (%17.48) −438.88 (%17.21) −420.12 (%11.74) −434.56 (%13.66) −460.97 (%23.22) −386.17 (%6.01) −420.85 (%10.65) Average of BIC (% lowest BIC) −406.47 (%17.48) −411.78 (%17.48) −390.01 (%11.47) −407.46 (%13.93) −433.88 (%23.77) −356.60 (%5.73) −390.75 (%10.10) 300 Average of AIC (% lowest AIC) −856.61 (%15.64) −808.33 (%6.44) −853.4 (%17.48) −860.88 (%17.48) −873.52 (%17.48) −823.93 (%10.42) −858.05 (%15.03) Average of BIC (% lowest BIC) −823.27 (%15.64) −775.00 (%6.44) −816.36 (%16.25) −827.55 (%18.71) −840.19 (%17.79) −786.89 (%10.42) −821.02 (%14.72) PGEcr 150 Average of AIC (% lowest AIC) 296.00 (%16.6) 297.54 (%14.33) 299.80 (%10.56) 297.03 (%13.77) 296.93 (%16.41) 296.95 (%15.66) 298.82 (%12.64) Average of BIC (% lowest BIC) 320.09 (%16.98) 321.62 (%16.60) 326.90 (%8.49) 321.11 (%16.22) 321.01 (%17.54) 324.04 (%14.15) 325.91 (%1) 300 Average of AIC (% lowest AIC) 584.66 (%15.03) 586.16 (%13.02) 586.75 (%13.62) 584.58 (%15.23) 584.93 (%18.03) 584.31 (%14.82) 589.11 (%10.22) Average of BIC (% lowest BIC) 614.29 (%16.03) 615.79 (%14.82) 620.08 (%11.82) 614.21 (%16.83) 614.56 (%18.63) 617.65 (%13.02) 622.44 (%8.81)