Survival Model of Cervical Cancer Patients using the 3-Parameter Weibull Distribution Model
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This study aimed to evaluate a parametric survival model for cervical cancer patients treated with ORCI, and a case study was conducted to describe the model. The survey of survival times of cervical cancer patients may help reduce cervical cancer outcomes. Data on socio-demographic characteristics, reproductive status, stages, treatment, and follow-up of the treatment, abstracted from medical files, were considered in model development. The primary objective of this study was to analyse cervical cancer survival times from the diagnosis period using a three-parameter Weibull distribution model. The analysis was performed using the open-source statistical software R and Minitab. The three-parameter Weibull distribution is highly flexible for fitting random data; moreover, it exhibits strong adaptability to various types of probability distributions. When the three parameters are well chosen, it can be equal to or approximate some other statistical distribution. However, the three parameters were estimated to utilize the Weibull model successfully. The distribution of survival times of cervical cancer patients, as analysed, follows the three-parameter Weibull distribution, with required test statistics including the Anderson-Darling significant value and standard probability plots. The use of other parametric distribution models, such as the Gamma, three-parameter Gamma, and Weibull distributions, which encompass various types of hazard functions, is recommended for future studies.
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