Thomsen B L, Sørensen T I
Department of Biostatistics, Faculty of Health Sciences, University of Copenhagen, Denmark.
J Hepatol. 1998 Jan;28(1):107-14. doi: 10.1016/s0168-8278(98)80209-2.
BACKGROUND/AIMS: Multiple recurrences of bleeding with high mortality in cirrhosis with esophageal varices have been inadequately analyzed in previous trials. We propose analysis by the multistage competing-risks model, specifying the effect on overall mortality as an effect on mortality during bleeding, rate of cessation of bleeding, mortality rate without bleeding, and rate of rebleeding.
The Copenhagen Esophageal Varices Project enrolled patients after first bleeding and randomized 94 to usual treatment and 93 to sclerotherapy as supplement. During 9-52 months of follow-up, rebleeding occurred in 49 and 42, and death in 68 and 60 patients, respectively. The proportional hazards regression model (Cox model) was used for reanalysis both by the multistage competing-risks model and by conventional analysis for overall mortality and rate of first rebleeding. In the multistage model, time zero was at entry to any new disease stage, of which the first four were analyzed - two bleeding stages and two bleeding-free stages.
The conventional analysis showed a reduction of overall mortality rate in the sclerotherapy group of borderline significance, but no effect on rate of rebleeding. The multistage model indicated that sclerotherapy reduced the rate of rebleeding late in the disease course, and particularly after the first rebleeding. Rate of cessation of bleeding and mortality rates during bleeding and without bleeding were not affected by sclerotherapy.
Conventional analysis may give misleading conclusions, which might be avoided by applying the multistage model. The effect of sclerotherapy on overall mortality may be ascribed entirely to the reduced rate of rebleeding.
背景/目的:既往试验对肝硬化合并食管静脉曲张出血多次复发且死亡率高的情况分析不足。我们建议采用多阶段竞争风险模型进行分析,明确其对总死亡率的影响,即对出血期间死亡率、出血停止率、无出血时的死亡率以及再出血率的影响。
哥本哈根食管静脉曲张项目纳入首次出血后的患者,将94例随机分为常规治疗组,93例随机分为硬化治疗补充组。在9至52个月的随访期间,分别有49例和42例发生再出血,68例和60例死亡。采用比例风险回归模型(Cox模型),通过多阶段竞争风险模型和常规分析方法对总死亡率和首次再出血率进行重新分析。在多阶段模型中,时间零点为进入任何新疾病阶段的时间,其中前四个阶段进行分析——两个出血阶段和两个无出血阶段。
常规分析显示硬化治疗组总死亡率降低,但差异接近显著性水平,且对再出血率无影响。多阶段模型表明,硬化治疗可降低疾病后期尤其是首次再出血后的再出血率。硬化治疗对出血停止率、出血期间和无出血时的死亡率无影响。
常规分析可能得出误导性结论,应用多阶段模型可避免这一情况。硬化治疗对总死亡率的影响可能完全归因于再出血率的降低。