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Duration of and time to response in oncology clinical trials from the perspective of the estimand framework. 从评估和框架的角度看肿瘤学临床试验的持续时间和反应时间。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-10-02 DOI: 10.1002/pst.2340
Hans-Jochen Weber, Stephen Corson, Jiang Li, François Mercier, Satrajit Roychoudhury, Martin Oliver Sailer, Steven Sun, Alexander Todd, Godwin Yung

Duration of response (DOR) and time to response (TTR) are typically evaluated as secondary endpoints in early-stage clinical studies in oncology when efficacy is assessed by the best overall response and presented as the overall response rate. Despite common use of DOR and TTR in particular in single-arm studies, the definition of these endpoints and the questions they are intended to answer remain unclear. Motivated by the estimand framework, we present relevant scientific questions of interest for DOR and TTR and propose corresponding estimand definitions. We elaborate on how to deal with relevant intercurrent events which should follow the same considerations as implemented for the primary response estimand. A case study in mantle cell lymphoma illustrates the implementation of relevant estimands of DOR and TTR. We close the paper with practical recommendations to implement DOR and TTR in clinical study protocols.

在肿瘤学的早期临床研究中,当疗效通过最佳总体反应进行评估并以总体反应率表示时,反应持续时间(DOR)和反应时间(TTR)通常被评估为次要终点。尽管DOR和TTR在单臂研究中普遍使用,但这些终点的定义及其旨在回答的问题仍不清楚。在估计需求框架的激励下,我们提出了DOR和TTR感兴趣的相关科学问题,并提出了相应的估计需求定义。我们详细说明了如何处理相关的并发事件,这些事件应遵循与主要响应估计相同的考虑因素。一个套细胞淋巴瘤的病例研究说明了DOR和TTR相关估计的实施。最后,我们提出了在临床研究方案中实施DOR和TTR的实用建议。
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引用次数: 0
Sample size calculation in clinical trials with two co-primary endpoints including overdispersed count and continuous outcomes. 具有两个共同主要终点的临床试验中的样本量计算,包括过度分散计数和连续结果
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-09-07 DOI: 10.1002/pst.2337
Gosuke Homma, Takuma Yoshida

Count outcomes are collected in clinical trials for new drug development in several therapeutic areas and the event rate is commonly used as a single primary endpoint. Count outcomes that are greater than the mean value are termed overdispersion; thus, count outcomes are assumed to have a negative binomial distribution. However, in clinical trials for treating asthma and chronic obstructive pulmonary disease (COPD), a regulatory agency has suggested that a continuous endpoint related to lung function must be evaluated as a primary endpoint in addition to the event rate. The two co-primary endpoints that need to be evaluated include overdispersed count and continuous outcomes. Some researchers have proposed sample size calculation methods in the context of co-primary endpoints for various outcome types. However, methodologies for sample size calculation in trials with two co-primary endpoints, including overdispersed count and continuous outcomes, required when planning clinical trials for treating asthma and COPD, remain to be proposed. In this study, we aimed to develop a hypothesis-testing method and a corresponding sample size calculation method with two co-primary endpoints including overdispersed count and continuous outcomes. In a simulation, we demonstrated that the proposed sample size calculation method has adequate power accuracy. In addition, we illustrated an application of the proposed sample size calculation method to a placebo-controlled Phase 3 trial for patients with COPD.

计数结果是在几个治疗领域的新药开发临床试验中收集的,事件发生率通常用作单一的主要终点。大于平均值的计数结果称为过度分散;因此,计数结果被假定为负二项分布。然而,在治疗哮喘和慢性阻塞性肺疾病(COPD)的临床试验中,监管机构建议,除了事件发生率外,还必须评估与肺功能相关的连续终点。需要评估的两个共主要终点包括过度分散计数和连续结局。一些研究人员提出了在不同结果类型的共主要终点背景下的样本量计算方法。然而,在规划治疗哮喘和慢性阻塞性肺病的临床试验时,有两个共同主要终点的试验的样本量计算方法,包括过分散计数和连续结果,仍有待提出。在这项研究中,我们的目的是建立一种假设检验方法和相应的样本量计算方法,包括两个共主要终点,包括过分散计数和连续结果。在仿真中,我们证明了所提出的样本大小计算方法具有足够的功率精度。此外,我们还说明了将建议的样本量计算方法应用于COPD患者安慰剂对照的3期试验。
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引用次数: 0
Interim decision making in seamless trial designs: An application in an adaptive dose-finding study in a rare kidney disease. 无缝试验设计中的临时决策:应用于罕见肾病的适应性剂量探索研究。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-09-11 DOI: 10.1002/pst.2335
Olympia Papachristofi, Björn Bornkamp, Melanie Wright, Tim Friede

Adaptive seamless trial designs, combining the learning and confirming cycles of drug development in a single trial, have gained popularity in recent years. Adaptations may include dose selection, sample size re-estimation and enrichment of the study population. Despite methodological advances and recognition of the potential efficiency gains such designs offer, their implementation, including how to enable efficient decision making on the adaptations in interim analyzes, remains a key challenge in their adoption. This manuscript uses a case study of an adaptive seamless proof-of-concept (Phase 2a)/dose-finding (Phase 2b) to showcase potential adaptive features that can be implemented in trial designs at earlier development stages and the role of simulations in assessing the design operating characteristics and specifying the decision rules for the adaptations. It further outlines the elements needed to support successful interim analysis decision making on the adaptations while safeguarding study integrity, including the role of different stakeholders, interactive simulation-based tools to facilitate decision making and operational aspects requiring preplanning. The benefits of the adaptive Phase 2a/2b design chosen compared to following the traditional two separate studies (2a and 2b) paradigm are discussed. With careful planning and appreciation of their complexity and components needed for their implementation, seamless adaptive designs have the potential to yield significant savings both in terms of time and resources.

适应性无缝试验设计将药物开发的学习周期和确认周期结合在一项试验中,近年来越来越受欢迎。适应性可包括剂量选择、样本量重新估计和研究人群的丰富化。尽管在方法上取得了进步,人们也认识到这种设计有可能提高效率,但在实施过程中,包括如何在中期分析中对适应性进行有效决策,仍然是采用这种设计的关键挑战。本手稿通过一个自适应无缝概念验证(2a期)/剂量摸底(2b期)的案例研究,展示了可在早期开发阶段的试验设计中实施的潜在自适应功能,以及模拟在评估设计运行特征和指定自适应决策规则中的作用。它进一步概述了在保障研究完整性的同时,支持成功进行适应性中期分析决策所需的要素,包括不同利益相关者的作用、促进决策的互动模拟工具以及需要预先计划的操作方面。讨论了与传统的两项单独研究(2a 和 2b)模式相比,选择适应性 2a/2b 阶段设计的好处。通过仔细规划和了解其复杂性及其实施所需的组成部分,无缝适应性设计有可能在时间和资源方面产生重大节约。
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引用次数: 0
A conservative approach to leveraging external evidence for effective clinical trial design. 利用外部证据进行有效临床试验设计的保守方法。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-09-26 DOI: 10.1002/pst.2339
Fabio Rigat

Prior probabilities of clinical hypotheses are not systematically used for clinical trial design yet, due to a concern that poor priors may lead to poor decisions. To address this concern, a conservative approach to Bayesian trial design is illustrated here, requiring that the operational characteristics of the primary trial outcome are stronger than the prior. This approach is complementary to current Bayesian design methods, in that it insures against prior-data conflict by defining a sample size commensurate to a discrete design prior. This approach is ethical, in that it requires designs appropriate to achieving pre-specified levels of clinical equipoise imbalance. Practical examples are discussed, illustrating design of trials with binary or time to event endpoints. Moderate increases in phase II study sample size are shown to deliver strong levels of overall evidence for go/no-go clinical development decisions. Levels of negative evidence provided by group sequential confirmatory designs are found negligible, highlighting the importance of complementing efficacy boundaries with non-binding futility criteria.

临床假设的先验概率尚未系统地用于临床试验设计,因为人们担心较差的先验可能会导致较差的决策。为了解决这一问题,这里说明了贝叶斯试验设计的保守方法,要求主要试验结果的操作特征比以前更强。这种方法是对当前贝叶斯设计方法的补充,因为它通过定义与离散设计先验相当的样本大小来确保先验数据冲突。这种方法是合乎道德的,因为它需要适当的设计来实现预先指定的临床平衡失衡水平。讨论了实际例子,说明了具有二进制或时间到事件终点的试验的设计。II期研究样本量的适度增加被证明为进行/不进行临床开发决策提供了强有力的总体证据。组序列验证性设计提供的负面证据水平可以忽略不计,这突出了用不具约束力的无效性标准补充疗效边界的重要性。
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引用次数: 0
A marginalized two-part joint model for a longitudinal biomarker and a terminal event with application to advanced head and neck cancers. 应用于晚期头颈部癌症的纵向生物标记物和终末事件的边缘化两部分联合模型。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-09-17 DOI: 10.1002/pst.2338
Denis Rustand, Laurent Briollais, Virginie Rondeau

The sum of the longest diameter (SLD) of the target lesions is a longitudinal biomarker used to assess tumor response in cancer clinical trials, which can inform about early treatment effect. This biomarker is semicontinuous, often characterized by an excess of zeros and right skewness. Conditional two-part joint models were introduced to account for the excess of zeros in the longitudinal biomarker distribution and link it to a time-to-event outcome. A limitation of the conditional two-part model is that it only provides an effect of covariates, such as treatment, on the conditional mean of positive biomarker values, and not an overall effect on the biomarker, which is often of clinical relevance. As an alternative, we propose in this article, a marginalized two-part joint model (M-TPJM) for the repeated measurements of the SLD and a terminal event, where the covariates affect the overall mean of the biomarker. Our simulation studies assessed the good performance of the marginalized model in terms of estimation and coverage rates. Our application of the M-TPJM to a randomized clinical trial of advanced head and neck cancer shows that the combination of panitumumab in addition with chemotherapy increases the odds of observing a disappearance of all target lesions compared to chemotherapy alone, leading to a possible indirect effect of the combined treatment on time to death.

靶病变的最长直径之和(SLD)是一种纵向生物标志物,用于评估癌症临床试验中的肿瘤反应,可以了解早期治疗效果。这种生物标志物是半连续的,通常以零点过多和右偏斜为特征。人们引入了条件两部分联合模型来解释纵向生物标记物分布中过多的零,并将其与时间到事件的结果联系起来。条件两部分模型的局限性在于,它只能提供协变量(如治疗)对生物标志物正值的条件平均值的影响,而不能提供对生物标志物的整体影响,而这种影响往往具有临床意义。作为替代方案,我们在本文中提出了一种边际化两部分联合模型(M-TPJM),用于重复测量 SLD 和终末事件,其中协变量会影响生物标志物的整体平均值。我们的模拟研究评估了边际化模型在估计和覆盖率方面的良好性能。我们将 M-TPJM 应用于一项晚期头颈癌的随机临床试验,结果表明,与单独化疗相比,帕尼单抗与化疗的联合治疗增加了观察到所有靶病灶消失的几率,这可能导致联合治疗对死亡时间的间接影响。
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引用次数: 0
Cautionary note on regional consistency evaluation in multiregional clinical trials with binary outcomes 二元结果多区域临床试验中区域一致性评价的注意事项
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2023-12-20 DOI: 10.1002/pst.2358
Gosuke Homma
Multiregional clinical trials (MRCTs) have become increasingly common during the development of new drugs to obtain simultaneous drug approvals worldwide. When planning MRCTs, a major statistical challenge is determination of the regional sample size. In general, the regional sample size must be determined as the sample size such that the regional consistency probability, defined as the probability of meeting the regional consistency criterion, is greater than a prespecified value. The Japanese Ministry of Health, Labour and Welfare proposed two criteria for regional consistency. Moreover, many researchers have proposed corresponding closed-form formulas for calculating regional consistency probabilities when the primary outcome is continuous. Although some researchers have argued that those formulas are also applicable to cases with binary outcomes, it remains questionable whether such an argument can be true. Based on simulation results, we demonstrate that the existing formulas are inappropriate for binary cases, even when the regional sample size is sufficiently large. To address this issue, we develop alternative formulas and use simulation to show that they provide accurate regional consistency probabilities. Furthermore, we present an application of our proposed formulas for an MRCT of advanced or metastatic clear-cell renal cell carcinoma.
多区域临床试验(MRCT)在新药研发过程中越来越常见,目的是使新药在全球范围内同时获得批准。在规划多区域临床试验时,确定区域样本量是一项重大的统计挑战。一般来说,区域样本量必须确定为使区域一致性概率(定义为符合区域一致性标准的概率)大于预设值的样本量。日本厚生劳动省提出了两个地区一致性标准。此外,许多研究人员还提出了相应的封闭式公式,用于计算主要结果连续时的区域一致性概率。虽然有些研究者认为这些公式也适用于二元结果的情况,但这种说法是否成立仍值得商榷。根据模拟结果,我们证明现有公式不适合二元案例,即使区域样本量足够大。为了解决这个问题,我们开发了替代公式,并通过模拟证明它们能提供准确的地区一致性概率。此外,我们还介绍了我们提出的公式在晚期或转移性透明细胞肾细胞癌 MRCT 中的应用。
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引用次数: 0
Analysis of two binomial proportions in noninferiority confirmatory trials 非劣效性确认试验中的两个二项式比例分析
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2023-12-11 DOI: 10.1002/pst.2351
Hassan Lakkis, Andrew Lakkis
In this article, we propose considering an approximate exact score (AES) test for noninferiority comparisons and we derive its test-based confidence interval for the difference between two independent binomial proportions. This test was published in the literature, but not its associated confidence interval. The p-value for this test is obtained by using exact binomial probabilities with the nuisance parameter being replaced by its restricted maximum likelihood estimate. Calculated type I errors revealed that the AES method has important advantages for noninferiority comparisons over popular asymptotic methods for adequately powered confirmatory clinical trials, at 80% or 90% statistical power. For unbalanced sample sizes of the compared groups, type I errors for the asymptotic score method were shown to be higher than the nominal level in a systematic pattern over a range of true proportions, but the AES method did not suffer from such a problem. On average, the true type I error of the AES method was closer to the nominal level than all considered methods in the empirical comparisons. In rare cases, type I errors of the AES test exceeded the nominal level, but only by a small amount. Presented examples showed that the AES method can be more attractive in practice than practical exact methods. In addition, p-value and confidence interval of the AES method can be obtained in <30 s of computer time for most confirmatory trials. Theoretical arguments, combined with empirical evidence and fast computation time should make the AES method attractive in statistical practice.
在本文中,我们建议在非劣效性比较中使用近似精确分数(AES)检验,并推导出其基于检验的置信区间,用于比较两个独立二项式比例之间的差异。该检验方法已在文献中发表,但没有相关的置信区间。该检验的 p 值是通过使用精确二项概率得到的,其中的干扰参数由其受限最大似然估计值代替。I 型误差的计算结果显示,对于有足够力量的确证性临床试验,在 80% 或 90% 统计力量的情况下,AES 方法与流行的渐近方法相比,在非劣效性比较方面具有重要优势。在比较组样本量不平衡的情况下,渐近分数法的 I 型误差在真实比例范围内以系统模式高于标称水平,但 AES 法不存在这种问题。平均而言,在经验比较中,AES 方法的真实 I 型误差比所有考虑过的方法都更接近标称水平。在极少数情况下,AES 检验的 I 类误差超过了标称水平,但超出的幅度很小。举例说明表明,在实践中,AES 方法比实用的精确方法更具吸引力。此外,对于大多数确证试验,AES 方法的 p 值和置信区间可在 30 秒内通过计算机获得。理论论据、经验证据和快速计算时间的结合应使 AES 方法在统计实践中更具吸引力。
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引用次数: 0
Two-sample inference procedures under nonproportional hazards. 非比例风险下的双样本推理程序。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2023-11-01 Epub Date: 2023-07-10 DOI: 10.1002/pst.2324
Yi-Cheng Tai, Weijing Wang, Martin T Wells

We introduce a new two-sample inference procedure to assess the relative performance of two groups over time. Our model-free method does not assume proportional hazards, making it suitable for scenarios where nonproportional hazards may exist. Our procedure includes a diagnostic tau plot to identify changes in hazard timing and a formal inference procedure. The tau-based measures we develop are clinically meaningful and provide interpretable estimands to summarize the treatment effect over time. Our proposed statistic is a U-statistic and exhibits a martingale structure, allowing us to construct confidence intervals and perform hypothesis testing. Our approach is robust with respect to the censoring distribution. We also demonstrate how our method can be applied for sensitivity analysis in scenarios with missing tail information due to insufficient follow-up. Without censoring, Kendall's tau estimator we propose reduces to the Wilcoxon-Mann-Whitney statistic. We evaluate our method using simulations to compare its performance with the restricted mean survival time and log-rank statistics. We also apply our approach to data from several published oncology clinical trials where nonproportional hazards may exist.

我们引入了一个新的双样本推理程序来评估两组随时间的相对表现。我们的无模型方法没有假设成比例的风险,使其适用于可能存在非比例风险的情况。我们的程序包括一个诊断tau图来识别危险时间的变化和一个正式的推理程序。我们开发的基于tau的测量具有临床意义,并提供可解释的估计,以总结随时间推移的治疗效果。我们提出的统计量是u统计量,并显示鞅结构,允许我们构建置信区间并执行假设检验。我们的方法对于审查分布是稳健的。我们还演示了如何将我们的方法应用于由于跟踪不足而导致尾部信息缺失的情况下的敏感性分析。在不进行删节的情况下,我们提出的Kendall的tau估计量可以简化为Wilcoxon-Mann-Whitney统计量。我们使用模拟来评估我们的方法,将其性能与受限的平均生存时间和log-rank统计进行比较。我们还将我们的方法应用于一些已发表的肿瘤学临床试验的数据,其中可能存在非比例风险。
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引用次数: 0
Leading beyond regulatory approval: Opportunities for statisticians to optimize evidence generation and impact clinical practice. 超越监管批准:统计学家优化证据生成和影响临床实践的机会。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2023-11-01 Epub Date: 2023-07-11 DOI: 10.1002/pst.2325
Jenny Devenport, Alexander Schacht

The role and value of statistical contributions in drug development up to the point of health authority approval are well understood. But health authority approval is only a true 'win' if the evidence enables access and adoption into clinical practice. In today's complex and evolving healthcare environment, there is additional strategic evidence generation, communication, and decision support that can benefit from statistical contributions. In this article, we describe the history of medical affairs in the context of drug development, the factors driving post-approval evidence generation needs, and the opportunities for statisticians to optimize evidence generation for stakeholders beyond health authorities in order to ensure that new medicines reach appropriate patients.

在药物开发直至卫生当局批准的阶段,统计贡献的作用和价值是众所周知的。但是,卫生当局的批准只有在证据能够获得并应用于临床实践的情况下才是真正的“胜利”。在当今复杂和不断发展的医疗保健环境中,有额外的战略证据生成、沟通和决策支持可以从统计贡献中受益。在本文中,我们描述了药物开发背景下的医疗事务历史,推动批准后证据生成需求的因素,以及统计学家为卫生当局以外的利益相关者优化证据生成的机会,以确保新药能够到达合适的患者。
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引用次数: 0
"Super-covariates": Using predicted control group outcome as a covariate in randomized clinical trials. “超协变量”:在随机临床试验中使用预测的对照组结果作为协变量。
IF 1.5 4区 医学 Q2 Mathematics Pub Date : 2023-11-01 Epub Date: 2023-08-08 DOI: 10.1002/pst.2329
Björn Holzhauer, Emmanuel Taiwo Adewuyi

The power of randomized controlled clinical trials to demonstrate the efficacy of a drug compared with a control group depends not just on how efficacious the drug is, but also on the variation in patients' outcomes. Adjusting for prognostic covariates during trial analysis can reduce this variation. For this reason, the primary statistical analysis of a clinical trial is often based on regression models that besides terms for treatment and some further terms (e.g., stratification factors used in the randomization scheme of the trial) also includes a baseline (pre-treatment) assessment of the primary outcome. We suggest to include a "super-covariate"-that is, a patient-specific prediction of the control group outcome-as a further covariate (but not as an offset). We train a prognostic model or ensembles of such models on the individual patient (or aggregate) data of other studies in similar patients, but not the new trial under analysis. This has the potential to use historical data to increase the power of clinical trials and avoids the concern of type I error inflation with Bayesian approaches, but in contrast to them has a greater benefit for larger sample sizes. It is important for prognostic models behind "super-covariates" to generalize well across different patient populations in order to similarly reduce unexplained variability whether the trial(s) to develop the model are identical to the new trial or not. In an example in neovascular age-related macular degeneration we saw efficiency gains from the use of a "super-covariate".

随机对照临床试验证明药物与对照组相比的有效性不仅取决于药物的有效性,还取决于患者结果的变化。在试验分析中调整预后协变量可以减少这种变异。因此,临床试验的主要统计分析通常基于回归模型,该模型除了治疗术语和一些进一步的术语(例如,试验随机化方案中使用的分层因素)外,还包括对主要结果的基线(治疗前)评估。我们建议加入一个“超级协变量”——即对对照组结果的患者特异性预测——作为进一步的协变量(但不是作为抵消)。我们训练一个预后模型或这些模型的集合,这些模型是基于类似患者的其他研究的单个患者(或汇总)数据,而不是正在分析的新试验。这有可能使用历史数据来增加临床试验的力量,并避免使用贝叶斯方法的I型错误膨胀的担忧,但与之相反,对于更大的样本量有更大的好处。对于“超协变量”背后的预后模型来说,重要的是要在不同的患者群体中很好地推广,以便同样地减少无法解释的变异性,无论开发模型的试验是否与新试验相同。在一个新生血管性年龄相关性黄斑变性的例子中,我们看到了使用“超级协变量”的效率提高。
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引用次数: 0
期刊
Pharmaceutical Statistics
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