| Liu Hongwei,Zhang Tiantian,Liu Yuanyuan,Li Changping,Hu Liangping,Regression analysis of the parametric models for the survival data——the basis of the parametric regression model analysis of the survival data[J].SICHUAN MENTAL HEALTH,2020,33(1):33-38 |
| Regression analysis of the parametric models for the survival data——the basis of the parametric regression model analysis of the survival data |
DOI：10.11886/scjsws20200106004 |
| English keywords:Survival analysis Parametric regression Goodness-of-fit tests Likelihood-ratio tests Weibull distribution Log-logistic distribution |
| Fund projects:国家自然科学基金项目（项目名称：贝叶斯生存分析方法在肝细胞癌肝移植患者预后预测中的应用研究，项目编号：81803333） |
| Author Name | Affiliation | Postcode | | Liu Hongwei | School of Public Health, Tianjin Medical University, Tianjin 300070, China | 300070 | | Zhang Tiantian | School of Public Health, Tianjin Medical University, Tianjin 300070, China | 300070 | | Liu Yuanyuan | School of Public Health, Tianjin Medical University, Tianjin 300070, China | 300070 | | Li Changping | School of Public Health, Tianjin Medical University, Tianjin 300070, China
Specialty Committee of Clinical Scientific Research Statistics of World Federation of Chinese Medicine Societies, Beijing 100029, China | 100029 | | Hu Liangping | Specialty Committee of Clinical Scientific Research Statistics of World Federation of Chinese Medicine Societies, Beijing 100029, China
Graduate School, Academy of Military Sciences PLA China, Beijing 100850, China | 100850 |
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| English abstract: |
| The purpose of this paper was to introduce the fundamental knowledge of the parametric models for the survival data. Firstly, the basic principles of three common parametric models for the survival data were given, including exponential distribution regression model, Weibull distribution regression model and Log-logistic distribution regression model. Secondly, the method of judging the probability distribution of survival time based on graphs was introduced. Finally, the solution for the parameters in the parametric regression model based on maximum likelihood estimation and the comparison between the goodness of fit of the two parametric regression models was introduced. The results of the article showed that: ① when the data followed the specific distribution, the corresponding parametric regression model should be applied； ② graphical methods could be use to judge rouphly the survival time followed what kind of the probability distribution； ③ likelihood ratio test could be used to compare the effects of the goodness of fit between two parametric regression models with different numbers of parameters. |
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