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On Some Modeling Issues in Estimating Vaccine Efficacy 关于估算疫苗疗效的一些模型问题
IF 1.5 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-09-10 DOI: 10.1002/pst.2440
Mauro Gasparini
I would like to reconsider a recent analysis by Prof. Senn on the statistics of the Pfizer‐BioNTech vaccine trial, to express some different opinions and to clarify some theoretical points, especially regarding the clinical applications of Bayesian statistics.
我想重新考虑一下森教授最近对辉瑞-生物技术公司疫苗试验统计的分析,发表一些不同的看法,并澄清一些理论观点,特别是关于贝叶斯统计的临床应用。
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引用次数: 0
Propensity Score Analysis With Baseline and Follow-Up Measurements of the Outcome Variable. 对结果变量进行基线和随访测量的倾向得分分析。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-09-05 DOI: 10.1002/pst.2436
Peter C Austin

A common feature in cohort studies is when there is a baseline measurement of the continuous follow-up or outcome variable. Common examples include baseline measurements of physiological characteristics such as blood pressure or heart rate in studies where the outcome is post-baseline measurement of the same variable. Methods incorporating the propensity score are increasingly being used to estimate the effects of treatments using observational studies. We examined six methods for incorporating the baseline value of the follow-up variable when using propensity score matching or weighting. These methods differed according to whether the baseline value of the follow-up variable was included or excluded from the propensity score model, whether subsequent regression adjustment was conducted in the matched or weighted sample to adjust for the baseline value of the follow-up variable, and whether the analysis estimated the effect of treatment on the follow-up variable or on the change from baseline. We used Monte Carlo simulations with 750 scenarios. While no analytic method had uniformly superior performance, we provide the following recommendations: first, when using weighting and the ATE is the target estimand, use an augmented inverse probability weighted estimator or include the baseline value of the follow-up variable in the propensity score model and subsequently adjust for the baseline value of the follow-up variable in a regression model. Second, when the ATT is the target estimand, regardless of whether using weighting or matching, analyze change from baseline using a propensity score that excludes the baseline value of the follow-up variable.

队列研究的一个共同特点是对连续随访变量或结果变量进行基线测量。常见的例子包括在研究中对血压或心率等生理特征进行基线测量,而结果则是对同一变量进行基线后测量。纳入倾向得分的方法越来越多地被用于利用观察性研究来估计治疗效果。我们研究了六种在使用倾向得分匹配或加权时纳入随访变量基线值的方法。这些方法的不同之处在于倾向得分模型中是否包含或排除了随访变量的基线值,是否在匹配样本或加权样本中进行了后续回归调整以调整随访变量的基线值,以及分析是否估算了治疗对随访变量或基线变化的影响。我们使用蒙特卡罗模拟法对 750 种情况进行了模拟。虽然没有哪种分析方法具有一致的优越性能,但我们还是提出了以下建议:首先,在使用加权法且 ATE 为目标估计值时,应使用增强的逆概率加权估计器,或在倾向评分模型中包含随访变量的基线值,然后在回归模型中对随访变量的基线值进行调整。其次,当 ATT 为目标估计值时,无论使用加权还是匹配,都应使用不包括随访变量基线值的倾向评分来分析与基线相比的变化。
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引用次数: 0
Generalizing Treatment Effect to a Target Population Without Individual Patient Data in a Real-World Setting. 在真实世界环境中,在没有个体患者数据的情况下,将治疗效果推广到目标人群。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-09-03 DOI: 10.1002/pst.2435
Hui Quan, Tong Li, Xun Chen, Gang Li

The innovative use of real-world data (RWD) can answer questions that cannot be addressed using data from randomized clinical trials (RCTs). While the sponsors of RCTs have a central database containing all individual patient data (IPD) collected from trials, analysts of RWD face a challenge: regulations on patient privacy make access to IPD from all regions logistically prohibitive. In this research, we propose a double inverse probability weighting (DIPW) approach for the analysis sponsor to estimate the population average treatment effect (PATE) for a target population without the need to access IPD. One probability weighting is for achieving comparable distributions in confounders across treatment groups; another probability weighting is for generalizing the result from a subpopulation of patients who have data on the endpoint to the whole target population. The likelihood expressions for propensity scores and the DIPW estimator of the PATE can be written to only rely on regional summary statistics that do not require IPD. Our approach hinges upon the positivity and conditional independency assumptions, prerequisites to most RWD analysis approaches. Simulations are conducted to compare the performances of the proposed method against a modified meta-analysis and a regular meta-analysis.

创新性地使用真实世界数据(RWD)可以回答随机临床试验(RCT)数据无法回答的问题。随机临床试验的赞助商拥有一个中央数据库,其中包含从试验中收集的所有患者个人数据(IPD),而真实世界数据的分析人员却面临着一个挑战:由于患者隐私方面的规定,从所有地区获取 IPD 在逻辑上是不可能的。在这项研究中,我们为分析发起人提出了一种双反概率加权(DIPW)方法,以便在无需获取 IPD 的情况下估算目标人群的人群平均治疗效果(PATE)。一种概率加权是为了实现各治疗组混杂因素分布的可比性;另一种概率加权是为了将结果从拥有终点数据的亚群患者推广到整个目标人群。倾向评分的似然表达式和 PATE 的 DIPW 估计器可以写成只依赖于不需要 IPD 的区域汇总统计。我们的方法取决于正相关性和条件独立性假设,这是大多数 RWD 分析方法的先决条件。我们进行了模拟,以比较所提议的方法与修正元分析和常规元分析的性能。
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引用次数: 0
Comparative Analyses of Bioequivalence Assessment Methods for In Vitro Permeation Test Data. 体外渗透试验数据的生物等效性评估方法比较分析。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-24 DOI: 10.1002/pst.2434
Sami Leon, Elena Rantou, Jessica Kim, Sungwoo Choi, Nam Hee Choi

For topical, dermatological drug products, an in vitro option to determine bioequivalence (BE) between test and reference products is recommended. In particular, in vitro permeation test (IVPT) data analysis uses a reference-scaled approach for two primary endpoints, cumulative penetration amount (AMT) and maximum flux (Jmax), which takes the within donor variability into consideration. In 2022, the Food and Drug Administration (FDA) published a draft IVPT guidance that includes statistical analysis methods for both balanced and unbalanced cases of IVPT study data. This work presents a comprehensive evaluation of various methodologies used to estimate critical parameters essential in assessing BE. Specifically, we investigate the performance of the FDA draft IVPT guidance approach alongside alternative empirical and model-based methods utilizing mixed-effects models. Our analyses include both simulated scenarios and real-world studies. In simulated scenarios, empirical formulas consistently demonstrate robustness in approximating the true model, particularly in effectively addressing treatment-donor interactions. Conversely, the effectiveness of model-based approaches heavily relies on precise model selection, which significantly influences their results. The research emphasizes the importance of accurate model selection in model-based BE assessment methodologies. It sheds light on the advantages of empirical formulas, highlighting their reliability compared to model-based approaches and offers valuable implications for BE assessments. Our findings underscore the significance of robust methodologies and provide essential insights to advance their understanding and application in the assessment of BE, employed in IVPT data analysis.

对于外用皮肤病药物产品,建议采用体外方法来确定试验产品和参照产品之间的生物等效性(BE)。特别是,体外渗透试验(IVPT)数据分析对两个主要终点--累积渗透量(AMT)和最大通量(Jmax)--采用参考标度法,其中考虑了供体内部的变异性。2022 年,美国食品和药物管理局(FDA)发布了 IVPT 指南草案,其中包括 IVPT 研究数据平衡和非平衡情况的统计分析方法。这项工作全面评估了用于估算评估 BE 所必需的关键参数的各种方法。具体来说,我们研究了 FDA IVPT 指南草案方法的性能,以及利用混合效应模型的其他基于经验和模型的方法。我们的分析包括模拟情景和真实世界研究。在模拟场景中,经验公式在逼近真实模型方面始终表现出稳健性,尤其是在有效处理治疗-供体相互作用方面。相反,基于模型的方法的有效性在很大程度上依赖于精确的模型选择,这对其结果有很大影响。这项研究强调了在基于模型的生物多样性评估方法中准确选择模型的重要性。研究揭示了经验公式的优势,强调了与基于模型的方法相比,经验公式的可靠性,并为生物多样性评估提供了有价值的启示。我们的研究结果强调了稳健方法的重要性,并为在 IVPT 数据分析中使用的 BE 评估方法的理解和应用提供了重要启示。
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引用次数: 0
Simultaneous Inference Using Multiple Marginal Models. 使用多重边际模型进行同步推理。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-21 DOI: 10.1002/pst.2428
Ludwig A Hothorn, Christian Ritz, Frank Schaarschmidt, Signe M Jensen, Robin Ristl

This tutorial describes single-step low-dimensional simultaneous inference with a focus on the availability of adjusted p values and compatible confidence intervals for more than just the usual mean value comparisons. The basic idea is, first, to use the influence of correlation on the quantile of the multivariate t-distribution: the higher the less conservative. In addition, second, the estimability of the correlation matrix using the multiple marginal models approach (mmm) using multiple models in the class of linear up to generalized linear mixed models. The underlying maxT-test using mmm is discussed by means of several real data scenarios using selected R packages. Surprisingly, different features are highlighted, among them: (i) analyzing different-scaled, correlated, multiple endpoints, (ii) analyzing multiple correlated binary endpoints, (iii) modeling dose as qualitative factor and/or quantitative covariate, (iv) joint consideration of several tuning parameters within the poly-k trend test, (v) joint testing of dose and time, (vi) considering several effect sizes, (vii) joint testing of subgroups and overall population in multiarm randomized clinical trials with correlated primary endpoints, (viii) multiple linear mixed effect models, (ix) generalized estimating equations, and (x) nonlinear regression models.

本教程介绍了单步低维同步推理,重点是调整后 p 值和兼容置信区间的可用性,而不仅仅是通常的均值比较。其基本思想是:首先,利用相关性对多元 t 分布的量值的影响:越高越不保守。此外,第二,使用多重边际模型方法(mmm),使用线性到广义线性混合模型类中的多重模型来估算相关矩阵的可估算性。使用选定的 R 软件包,通过几个真实数据场景讨论了使用 mmm 的基本 maxT 检验。令人惊讶的是,其中突出了不同的特点:(i) 分析不同尺度、相关的多个终点,(ii) 分析多个相关的二进制终点,(iii) 将剂量作为定性因子和/或定量协变量建模,(iv) 在 poly-k 趋势检验中联合考虑多个调整参数,(v) 联合检验剂量和时间、(viii) 多重线性混合效应模型;(ix) 广义估计方程;以及 (x) 非线性回归模型。
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引用次数: 0
Sample Size Reestimation in Stochastic Curtailment Tests With Time-to-Events Outcome in the Case of Nonproportional Hazards Utilizing Two Weibull Distributions With Unknown Shape Parameters. 在非比例危害的情况下,利用具有未知形状参数的两个 Weibull 分布,对具有时间到事件结果的随机缩尾试验进行样本量重估。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-18 DOI: 10.1002/pst.2429
Palash Sharma, Milind A Phadnis

Stochastic curtailment tests for Phase II two-arm trials with time-to-event end points are traditionally performed using the log-rank test. Recent advances in designing time-to-event trials have utilized the Weibull distribution with a known shape parameter estimated from historical studies. As sample size calculations depend on the value of this shape parameter, these methods either cannot be used or likely underperform/overperform when the natural variation around the point estimate is ignored. We demonstrate that when the magnitude of the Weibull shape parameters changes, unblinded interim information on the shape of the survival curves can be useful to enrich the final analysis for reestimation of the sample size. For such scenarios, we propose two Bayesian solutions to estimate the natural variations of the Weibull shape parameter. We implement these approaches under the framework of the newly proposed relative time method that allows nonproportional hazards and nonproportional time. We also demonstrate the sample size reestimation for the relative time method using three different approaches (internal pilot study approach, conditional power, and predictive power approach) at the interim stage of the trial. We demonstrate our methods using a hypothetical example and provide insights regarding the practical constraints for the proposed methods.

对于采用时间到事件终点的二期双臂试验,传统上采用对数秩检验法进行随机缩减试验。最近在设计时间到事件试验方面取得的进展是利用了从历史研究中估算出的已知形状参数的 Weibull 分布。由于样本量的计算取决于该形状参数的值,当忽略点估计值周围的自然变化时,这些方法要么无法使用,要么可能表现不佳或表现不佳。我们证明,当 Weibull 形状参数的大小发生变化时,有关生存曲线形状的非盲法临时信息可用于丰富最终分析,以重新估计样本量。针对这种情况,我们提出了两种贝叶斯解决方案来估计 Weibull 形状参数的自然变化。我们在新提出的允许非比例危害和非比例时间的相对时间法框架下实施了这些方法。我们还演示了在试验中期使用三种不同方法(内部试验研究法、条件功率法和预测功率法)对相对时间法的样本量进行重新估计。我们用一个假设的例子演示了我们的方法,并就所建议方法的实际限制提供了见解。
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引用次数: 0
Principles for Defining Estimands in Clinical Trials-A Proposal. 定义临床试验估算值的原则--一项建议。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-13 DOI: 10.1002/pst.2432
Tobias Mütze, James Bell, Stefan Englert, Philip Hougaard, Dan Jackson, Vivian Lanius, Henrik Ravn

The ICH E9(R1) guideline outlines the estimand framework, which aligns planning, design, conduct, analysis, and interpretation of a clinical trial. The benefits and value of using this framework in clinical trials have been outlined in the literature, and guidance has been provided on how to choose the estimand and define the estimand attributes. Although progress has been made in the implementation of estimands in clinical trials, to the best of our knowledge, there is no published discussion on the basic principles that estimands in clinical trials should fulfill to be well defined and consistent with the ideas presented in the ICH E9(R1) guideline. Therefore, in this Viewpoint article, we propose four key principles for defining an estimand. These principles form a basis for well-defined treatment effects that reflect the estimand thinking process. We hope that this Viewpoint will complement ICH E9(R1) and stimulate a discussion on which fundamental properties an estimand in a clinical trial should have and that such discussions will eventually lead to an improved clarity and precision for defining estimands in clinical trials.

ICH E9(R1)指南概述了临床试验的规划、设计、实施、分析和解释的估算指标框架。文献中概述了在临床试验中使用该框架的好处和价值,并就如何选择估计指标和定义估计指标属性提供了指导。尽管在临床试验中实施估计指标方面取得了进展,但据我们所知,目前还没有关于临床试验中的估计指标应符合哪些基本原则的公开讨论,这些原则应定义明确,并与 ICH E9(R1) 指南中提出的观点保持一致。因此,在这篇观点文章中,我们提出了定义估算指标的四项关键原则。这些原则构成了定义明确的治疗效果的基础,反映了估计值的思维过程。我们希望本观点能够补充 ICH E9(R1),并激发关于临床试验中的估计指标应具备哪些基本属性的讨论,并希望这些讨论最终能够提高临床试验中定义估计指标的清晰度和精确度。
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引用次数: 0
Bayesian Predictive Probability Based on a Bivariate Index Vector for Single-Arm Phase II Study With Binary Efficacy and Safety Endpoints. 基于双变量指数向量的贝叶斯预测概率,用于具有二元有效性和安全性终点的单臂 II 期研究。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-13 DOI: 10.1002/pst.2431
Takuya Yoshimoto, Satoru Shinoda, Kouji Yamamoto, Kouji Tahata

In oncology, Phase II studies are crucial for clinical development plans as such studies identify potent agents with sufficient activity to continue development in the subsequent Phase III trials. Traditionally, Phase II studies are single-arm studies, with the primary endpoint being short-term treatment efficacy. However, drug safety is also an important consideration. In the context of such multiple-outcome designs, predictive probability-based Bayesian monitoring strategies have been developed to assess whether a clinical trial will provide enough evidence to continue with a Phase III study at the scheduled end of the trial. Therefore, we propose a new simple index vector to summarize the results that cannot be captured by existing strategies. Specifically, we define the worst and most promising situations for the potential effect of a treatment, then use the proposed index vector to measure the deviation between the two situations. Finally, simulation studies are performed to evaluate the operating characteristics of the design. The obtained results demonstrate that the proposed method makes appropriate interim go/no-go decisions.

在肿瘤学领域,II 期研究对临床开发计划至关重要,因为这类研究可以确定具有足够活性的强效制剂,以便在随后的 III 期试验中继续开发。传统上,II 期研究是单臂研究,主要终点是短期疗效。然而,药物安全性也是一个重要的考虑因素。在这种多结果设计的背景下,人们开发了基于预测概率的贝叶斯监测策略,以评估临床试验是否能提供足够的证据,从而在预定试验结束时继续进行 III 期研究。因此,我们提出了一种新的简单指数向量来总结现有策略无法捕捉的结果。具体来说,我们定义了治疗潜在效果最差和最有希望的两种情况,然后使用提出的指数向量来衡量两种情况之间的偏差。最后,我们进行了模拟研究,以评估设计的运行特性。结果表明,建议的方法能做出适当的 "去/不去 "临时决策。
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引用次数: 0
Bayesian Methods for Quality Tolerance Limit (QTL) Monitoring. 质量容限 (QTL) 监测的贝叶斯方法。
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-09 DOI: 10.1002/pst.2427
J C Poythress, Jin Hyung Lee, Kentaro Takeda, Jun Liu

In alignment with the ICH guideline for Good Clinical Practice [ICH E6(R2)], quality tolerance limit (QTL) monitoring has become a standard component of risk-based monitoring of clinical trials by sponsor companies. Parameters that are candidates for QTL monitoring are critical to participant safety and quality of trial results. Breaching the QTL of a given parameter could indicate systematic issues with the trial that could impact participant safety or compromise the reliability of trial results. Methods for QTL monitoring should detect potential QTL breaches as early as possible while limiting the rate of false alarms. Early detection allows for the implementation of remedial actions that can prevent a QTL breach at the end of the trial. We demonstrate that statistically based methods that account for the expected value and variability of the data generating process outperform simple methods based on fixed thresholds with respect to important operating characteristics. We also propose a Bayesian method for QTL monitoring and an extension that allows for the incorporation of partial information, demonstrating its potential to outperform frequentist methods originating from the statistical process control literature.

根据《国际化学品管理委员会良好临床实践指南》[ICH E6(R2)],质量耐受限度(QTL)监测已成为申办公司对临床试验进行风险监测的标准组成部分。作为 QTL 监测对象的参数对参与者的安全和试验结果的质量至关重要。突破特定参数的 QTL 可能表明试验存在系统性问题,从而影响受试者的安全或损害试验结果的可靠性。QTL 监测方法应尽早发现潜在的 QTL 缺陷,同时限制误报率。及早检测可以采取补救措施,防止试验结束时出现 QTL 缺陷。我们证明,考虑到数据生成过程的预期值和变异性的统计方法在重要操作特征方面优于基于固定阈值的简单方法。我们还提出了一种用于 QTL 监测的贝叶斯方法,以及一种允许纳入部分信息的扩展方法,证明了其优于源于统计过程控制文献的频数主义方法的潜力。
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引用次数: 0
A Personalized Dose-Finding Algorithm Based on Adaptive Gaussian Process Regression. 基于自适应高斯过程回归的个性化剂量确定算法
IF 1.3 4区 医学 Q4 PHARMACOLOGY & PHARMACY Pub Date : 2024-08-09 DOI: 10.1002/pst.2417
Yeonhee Park, Won Chang

Dose-finding studies play a crucial role in drug development by identifying the optimal dose(s) for later studies while considering tolerability. This not only saves time and effort in proceeding with Phase III trials but also improves efficacy. In an era of precision medicine, it is not ideal to assume patient homogeneity in dose-finding studies as patients may respond differently to the drug. To address this, we propose a personalized dose-finding algorithm that assigns patients to individualized optimal biological doses. Our design follows a two-stage approach. Initially, patients are enrolled under broad eligibility criteria. Based on the Stage 1 data, we fit a regression model of toxicity and efficacy outcomes on dose and biomarkers to characterize treatment-sensitive patients. In the second stage, we restrict the trial population to sensitive patients, apply a personalized dose allocation algorithm, and choose the recommended dose at the end of the trial. Simulation study shows that the proposed design reliably enriches the trial population, minimizes the number of failures, and yields superior operating characteristics compared to several existing dose-finding designs in terms of both the percentage of correct selection and the number of patients treated at target dose(s).

剂量摸底研究在药物研发中发挥着至关重要的作用,它可以在考虑耐受性的同时,为后续研究确定最佳剂量。这不仅能节省进行 III 期试验的时间和精力,还能提高疗效。在精准医疗时代,在剂量探索研究中假定患者具有同质性并不理想,因为患者可能对药物产生不同的反应。为了解决这个问题,我们提出了一种个性化剂量寻找算法,为患者分配个性化的最佳生物剂量。我们的设计采用两阶段方法。首先,根据广泛的资格标准招募患者。在第一阶段数据的基础上,我们根据剂量和生物标志物拟合了毒性和疗效结果的回归模型,以确定对治疗敏感的患者的特征。在第二阶段,我们将试验人群限定为敏感患者,应用个性化剂量分配算法,并在试验结束时选择推荐剂量。模拟研究表明,与现有的几种剂量寻找设计相比,所提出的设计能可靠地丰富试验人群,最大限度地减少失败次数,并在正确选择的百分比和按目标剂量治疗的患者人数方面产生更优越的操作特性。
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引用次数: 0
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Pharmaceutical Statistics
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