Baneshi Mohammad-Reza, Bahmanbijari Bahareh, Mahdian Reza, Haji-Maghsoodi Saeide, Nikbakht Roya
Research Center for Modeling in Health, Institute for Futures Studies in Health.
Department of Pediatrics.
Iran J Pediatr. 2014 Apr;24(2):207-13.
The Cox model is the dominant tool in clinical trials to compare treatment options. This model does not specify any specific form to the hazard function. On the other hand, parametric models allow the researcher to consider an appropriate shape of hazard function for the event of interest. The aim of this article is to compare performance of Cox and parametric models.
We used data collected in a prospective clinical trial that aimed to compare performance of nasal intermittent positive pressure ventilation (NIPPV) and nasal continuous positive airway pressure (NCPAP) treatments in terms of survival of newborn infants who had respiratory distress syndrome (RDS). Performance of Cox, exponential, Weibull, and log-logistic models were compared in terms of goodness of fit.
Fitting the Cox model, we have seen that infants who received NCPAP were 4.23 (Hazard Ratio= 4.23, 95% Confidence Interval: 1.87-9.59) times more likely to fail than those received NIPPV (P=0.001). Adequacy of the exponential model was rejected. We have seen a decreasing hazard rate over time, in both treatment groups. This decrease was sharper in NCPAP group. Akiake information criterion corresponded to the log-logistic model and was lower than all other models followed by Weibull model.
Our results demonstrate the benefit of parametric survival models over traditional Cox regression model in terms of modeling of shape of hazard function. We saw a decreasing hazard that confirms the flexibility of parametric models in terms of the modeling of hazard rate.
Cox模型是临床试验中比较治疗方案的主要工具。该模型未对风险函数指定任何特定形式。另一方面,参数模型允许研究人员针对感兴趣的事件考虑合适的风险函数形状。本文旨在比较Cox模型和参数模型的性能。
我们使用了一项前瞻性临床试验中收集的数据,该试验旨在比较经鼻间歇正压通气(NIPPV)和经鼻持续气道正压通气(NCPAP)治疗对患有呼吸窘迫综合征(RDS)的新生儿存活率的影响。从拟合优度方面比较了Cox模型、指数模型、威布尔模型和对数逻辑斯蒂模型的性能。
拟合Cox模型时,我们发现接受NCPAP治疗的婴儿失败的可能性是接受NIPPV治疗婴儿的4.23倍(风险比=4.23,95%置信区间:1.87 - 9.59)(P = 0.001)。指数模型的拟合优度被否定。我们发现两个治疗组的风险率均随时间下降,且NCPAP组下降得更明显。赤池信息准则与对数逻辑斯蒂模型相符,且低于所有其他模型,其次是威布尔模型。
我们的结果表明,在风险函数形状建模方面,参数生存模型优于传统的Cox回归模型。我们观察到风险率下降,这证实了参数模型在风险率建模方面的灵活性。