Research Article
New Cure Rate Survival Models Generated by Poisson Distribution and Different Regression Structures with Applications to Cancer Data Set
Table 6
ML estimators, standard errors (SEs), and information criteria for the colon cancer data set based on the PGEcr model and different link functions.
| | Parameter | Logit (SE) | Cauchit (SE) | Aranda-Ordaz (SE) | Probit (SE) | Log-log (SE) | Skewed logit (SE) | Skewed probit (SE) |
| | 3.9577(1.1810) | 4.1898(1.5641) | 4.2374(1.8935) | 3.9868(1.5457) | 4.1348(1.6247) | 3.95931.2664 | 5.2747(2.9102) | | 0.8868(0.2971) | 0.8431(0.3506) | 0.8184(0.4076) | 0.8714(0.3807) | 0.8333(0.3670) | 0.88630.3184 | 0.6380(0.3832) | | 0.4525(0.0475) | 0.4330(0.0506) | 0.4502(0.0544) | 0.4609(0.0504) | 0.4600(0.0501) | 0.45220.04868 | 0.4399(0.0545) | | | | 0.1000 (0.8722) | | | 0.968518 (1.0393) | 0.3767 (0.2633) | | −0.7163(0.2217) | −0.8190(0.3215) | −0.8470(0.2462) | −0.3935(0.1235) | −0.0692 (0.1139) | −0.7313 (0.8047) | −1.2865(0.7809) | | −1.4316(0.1160) | −1.6575(0.2375) | −1.2113(0.2363) | −0.8396(0.0644) | −0.7895(0.0615) | −1.462806 1.5602 | −1.2045(0.3471) | | 0.0714 (0.0987) | 0.0583 (0.0990) | 0.0629 (0.0783) | 0.0365 (0.0589) | 0.0243 (0.0587) | 0.0721 (0.1310) | 0.0514 (0.0849) | | −0.3877(0.1249) | −0.3599(0.1293) | −0.3177(0.1240) | −0.2309(0.0738) | −0.2161(0.0710) | −0.3976 (0.4422) | −0.3368(0.1414) | | −0.4019(0.1102) | −0.4472(0.1140) | −0.3369(0.1150) | −0.2300(0.0650) | −0.1983(0.0634) | −0.417754 0.4635 | −0.3277(0.1298) | | −0.3832(0.1003) | −0.4337(0.1316) | −0.3806(0.0859) | −0.1900(0.0575) | −0.0807 (0.0544) | −0.3974 (0.5043) | −0.5390(0.3114) | | −0.3426(0.1036) | −0.3535(0.1338) | −0.3536(0.0903) | −0.1704(0.0592) | −0.0670 (0.0552) | −0.3589 (0.4717) | −0.5096(0.3045) | | 0.2094(0.1012) | 0.1682 (0.1200) | 0.0872 (0.1559) | 0.1669(0.0592) | 0.2786(0.0610) | 0.225061 0.2095 | −0.0378 (0.1876) | | 1.8684(0.4648) | 1.9048(0.5411) | 1.3877(0.5187) | 1.0527(0.2727) | 1.0797(0.3423) | 1.9558 (2.2672) | 1.4222(0.5197) | | 1.7132(0.2847) | 1.8289(0.4098) | 1.3804(0.3762) | 0.9769(0.1620) | 0.9120(0.1597) | 1.7587 (1.9394) | 1.3554(0.43019) | | 0.9125(0.2439) | 1.0560(0.3716) | 0.7533(0.2422) | 0.4866(0.1351) | 0.4034(0.1160) | 0.9345 (1.0692) | 0.6679(0.2675) | | −0.3050(0.1393) | −0.3841(0.1566) | −0.2665(0.1251) | −0.1826(0.0815) | −0.1690(0.0771) | −0.2967 (0.3247) | −0.2692(0.1398) | | −0.0129 (0.1082) | −0.0216 (0.1109) | −0.0116 (0.0864) | −0.0130 (0.0644) | −0.0157 (0.0639) | −0.0244 (0.1154) | −0.0185 (0.0917) |
| | −2 Log L | 5219.95 | 5212.69 | 5214.79 | 5222.46 | 5233.25 | 5220.006 | 5221.26 | | AIC | 5251.95 | 5244.69 | 5248.79 | 5254.46 | 5265.25 | 5254.006 | 5255.26 | | BIC | 5340.38 | 5333.12 | 5342.75 | 5342.89 | 5353.68 | 5347.96 | 5349.22 |
| | Signif. codes: | 0.001 “” | 0.01 “” | 0.05 “” | 0.1 “.” | | | |
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