Comparison of parametric and semi-parametric models with randomly right-censored data by weighted estimators: Two applications in colon cancer and hepatocellular carcinoma datasets

In this study, parametric and semi-parametric regression models are examined for random right censorship. The components of the aforementioned regression models are estimated with weights based on Cox and Kaplan–Meier estimates, which are semi-parametric and nonparametric methods used in survival an...

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Bibliographic Details
Published in:Statistical methods in medical research 2022-02, Vol.31 (2), p.372-387
Main Authors: Yenilmez, İsmail, Yılmaz, Ersin, Kantar, Yeliz Mert, Aydın, Dursun
Format: Article
Language:English
Subjects:
Carcinoma, Hepatocellular
Censored data (mathematics)
Censorship
Colon
Colon cancer
Colonic Neoplasms
Colorectal cancer
Computer Simulation
Datasets
Empirical analysis
Estimates
Estimators
Humans
Liver cancer
Liver Neoplasms
Models, Statistical
Parametric statistics
Regression models
Smoothing
Survival Analysis
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Summary:In this study, parametric and semi-parametric regression models are examined for random right censorship. The components of the aforementioned regression models are estimated with weights based on Cox and Kaplan–Meier estimates, which are semi-parametric and nonparametric methods used in survival analysis, respectively. The Tobit based on weights obtained from a Cox regression is handled as a parametric model instead of other parametric models requiring distribution assumptions such as exponential, Weibull, and gamma distributions. Also, the semi-parametric smoothing spline and the semi-parametric smoothing kernel estimators based on Kaplan–Meier weights are used. Therefore, estimates are obtained from two models with flexible approaches. To show the flexible shape of the models depending on the weights, Monte Carlo simulations are conducted, and all results are presented and discussed. Two empirical datasets are used to show the performance of the aforementioned estimators. Although three approaches gave similar results to each other, the semi-parametric approach was slightly superior to the parametric approach. The parametric approach method, on the other hand, yields good results in medium and large sample sizes and at a high censorship level. All other findings have been shared and interpreted.
ISSN:0962-2802
1477-0334
DOI:10.1177/09622802211061635