Cumulative local recurrence rate is a misleading and non-representative outcome measure for early breast cancer trials

Jayant S Vaidya, Max Bulsara, Uma J Vaidya, David Morgan, Michael Douek, Marcelle Bernstein, Chris Brew-Graves, Norman R Williams, Jeffrey S Tobias
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Abstract

In many breast cancer radiotherapy trials, the results are presented in the form of cumulative incidence rates of local recurrence or Kaplan-Meier plots, in which deaths are censored. Censoring - using patients' length of follow up until the point when they had last been seen alive - is included in the statistical model, under the correct assumption that they will continue to have a risk of developing a local recurrence. Censoring should be non-informative and balanced. However, if shorter follow up is unbalanced between treatments, or if shorter follow up is due to death (from whatever cause), these assumptions and therefore the model is no longer valid. It is therefore ambiguous to statistically ignore deaths when reporting local recurrence, by censoring them. We illustrate, with examples from randomised trials, why and how such graphs cannot give patients and clinicians a clear indication of the effects of treatments or prognosis. For instance, in one of these examples, 60% of patients were alive at 10 years, so those alive without a local recurrence should inevitably be lower than 60%, rather than the 90% estimated using the above method. The simple way to avoid this error is to turn the analysis on its head, by reporting chances of success rather than failure, by reporting the probability of being free of local recurrence (i.e. both death and local recurrence are events). This estimate truly represents what really happens to patients in terms of local control and the relative effectiveness of treatment(s) comprehensively. It also conforms with the recommendations of ICH-GCP, European (DATECAN) and American (STEEP) guidelines.
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累积局部复发率是衡量早期乳腺癌试验结果的误导性和非代表性指标
在许多乳腺癌放疗试验中,试验结果以局部复发累积发生率或卡普兰-梅耶图的形式呈现,其中死亡病例被剔除。剔除--使用患者的随访时间,直到他们最后一次存活为止--被纳入统计模型,正确的假设是他们将继续面临局部复发的风险。筛选应该是非信息性和平衡的。但是,如果不同治疗方法之间的随访时间缩短不平衡,或者如果随访时间缩短是由于死亡(无论何种原因),那么这些假设以及模型就不再有效。因此,在报告局部复发时,通过剔除死亡病例而在统计学上忽略死亡病例是不明确的。我们通过随机试验中的例子来说明,这种图表为什么以及如何无法为患者和临床医生提供治疗效果或预后的明确指示。例如,在其中一个例子中,有 60% 的患者在 10 年后存活,因此没有局部复发的存活率必然低于 60%,而不是上述方法估计的 90%。避免这种错误的简单方法是将分析方法反过来,报告成功的概率而不是失败的概率,报告无局部复发的概率(即死亡和局部复发都是事件)。这一估计值真实地反映了患者在局部控制方面的实际情况以及治疗的相对有效性。它也符合 ICH-GCP、欧洲(DATECAN)和美国(STEEP)指南的建议。
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