Research Article
New Cure Rate Survival Models Generated by Poisson Distribution and Different Regression Structures with Applications to Cancer Data Set
Table 5
ML estimators, standard errors (SEs), and information criteria for the colon cancer data set based on the PGcr model and different link functions.
| | Parameter | Logit (SE) | Cauchit (SE) | Aranda-Ordaz (SE) | Probit (SE) | Log-log (SE) | Skewed logit (SE) | Skewed probit (SE) |
| | 3.3412(1.2979) | 2.9606(0.9577) | 2.9209(1.3300) | 3.3515(1.3402) | 3.6076(1.6559) | 3.3595(1.3650) | 3.4935(2.0092) | | 1.1431(0.5525) | 1.5225(0.6221) | 1.3568(0.8072) | 1.1135(0.5570) | 1.0041(0.5725) | 1.1323(0.5720) | 1.0622 (0.1599) | | 0.4390(0.0548) | 0.3670(0.0674) | 0.4506(0.0563) | 0.4539(0.0518) | 0.4553(0.0529) | 0.4419(0.0586) | 0.4506(0.0563) | | 1.1967(0.4421) | 0.7798(0.1976) | 1.0759(0.4666) | 1.2911(0.5288) | 1.4355(0.7258) | 1.1984(0.4015) | 1.2613(0.5710) | | | | 0.1089(1.3275) | | | 3.4061(2.1774) | 0.4537(0.2500) | | −0.6587(0.2070) | −0.9341(0.3313) | −0.8119(0.2699) | −0.3848(0.1168) | −0.0724(0.1105) | −1.6774(0.5437) | −1.0634(0.5720) | | −1.3250(0.1423) | −1.4449(0.2347) | −1.1012(0.3619) | −0.7913(0.0823) | −0.7569(0.0843) | −1.1763(0.1372) | −1.0563(0.2503) | | 0.0682 (0.0924) | 0.0855 (0.0893) | 0.0644 (0.0731) | −0.0383(0.0559) | 0.0280(0.0566) | 0.0694 (0.0779) | 0.0516 (0.0746) | | −0.3857(0.1163) | −0.3845(0.1200) | −0.3179(0.1359) | −0.2280(0.0697) | −0.2111(0.0683) | −0.3351(0.1018) | −0.3008(0.1118) | | −0.3640(0.1083) | −0.3946(0.1059) | −0.3022(0.1352) | −0.2103(0.0651) | −0.1833(0.0656) | −0.3176(0.0928) | −0.2841(0.1061) | | −0.3491(0.0953) | −0.4339(0.1329) | −0.3539(0.0797) | −0.1792(0.0554) | −0.0753(0.0533) | −0.6590(0.1807) | −0.4442(0.2278) | | −0.3063(0.0981) | −0.3843(0.1387) | −0.3280(0.0857) | −0.1583(0.0574) | −0.0599(0.0552) | −0.6215(0.1854) | −0.4061(0.2194) | | 0.1967(0.0992) | 0.0842 (0.1142) | 0.0700 (0.1987) | 0.1528(0.0592) | 0.2628(0.0655) | −0.1968 (0.2042) | −0.0129 (0.1508) | | 1.6949(0.4503) | 1.8083(0.4899) | 1.3164(0.6771) | 1.0117(0.2697) | 1.0464(0.3408) | 1.3948(0.3537) | 1.31230.4329 | | 1.5671(0.2767) | 1.7227(0.3795) | 1.2920(0.4949) | 0.9290(0.1616) | 0.8818(0.1656) | 1.3177(0.2434) | 1.2148(0.3294) | | 0.8004(0.2265) | 1.0012(0.3299) | 0.6926(0.2702) | 0.4552(0.1291) | 0.3876(0.1148) | 0.6784(0.2039) | 0.5887(0.2124) | | −0.2736(0.1329) | −0.3052(0.1397) | −0.2267(0.1310) | −0.1641(0.0792) | −0.1544(0.0773) | −0.2539(0.1160) | −0.2299(0.1175) | | −0.0282 (0.1012) | −0.0328 (0.0984) | −0.0191 (0.0804) | −0.0156 (0.0611) | −0.0153 (0.0614) | −0.0207 (0.0857) | −0.0229 (0.0808) |
| | −2 Log L | 5218.85 | 5206.77 | 5212.95 | 5221.88 | 5233.25 | 5214.29 | 5220.56 | | AIC | 5252.85 | 5240.77 | 5248.95 | 5255.88 | 5267.25 | 5250.29 | 5256.56 | | BIC | 5346.81 | 5334.73 | 5348.44 | 5349.84 | 5361.21 | 5349.78 | 5356.05 |
| | Signif. codes: | 0.001 “” | 0.01 “” | 0.05 “” | 0.1 “.” | | | |
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