1
|
Garcia Barrado L, Burzykowski T. Using an early outcome as the sole source of information of interim decisions regarding treatment effect on a long-term endpoint: The non-Gaussian case. Pharm Stat 2024; 23:928-938. [PMID: 38837876 DOI: 10.1002/pst.2398] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2023] [Revised: 04/10/2024] [Accepted: 05/03/2024] [Indexed: 06/07/2024]
Abstract
In randomized clinical trials that use a long-term efficacy endpoint, the follow-up time necessary to observe the endpoint may be substantial. In such trials, an attractive option is to consider an interim analysis based solely on an early outcome that could be used to expedite the evaluation of treatment's efficacy. Garcia Barrado et al. (Pharm Stat. 2022; 21: 209-219) developed a methodology that allows introducing such an early interim analysis for the case when both the early outcome and the long-term endpoint are normally-distributed, continuous variables. We extend the methodology to any combination of the early-outcome and long-term-endpoint types. As an example, we consider the case of a binary outcome and a time-to-event endpoint. We further evaluate the potential gain in operating characteristics (power, expected trial duration, and expected sample size) of a trial with such an interim analysis in function of the properties of the early outcome as a surrogate for the long-term endpoint.
Collapse
Affiliation(s)
- Leandro Garcia Barrado
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium
- Institute of Statistics, Biostatistics, and Actuarial Sciences (ISBA), Louvain Institute for Data Analysis and Modeling, Louvain-la-Neuve, Belgium
| | - Tomasz Burzykowski
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium
- Data Science Institute, I-BioStat, Hasselt University, Hasselt, Belgium
| |
Collapse
|
2
|
Parast L, Bartroff J. Group sequential testing of a treatment effect using a surrogate marker. Biometrics 2024; 80:ujae108. [PMID: 39377516 PMCID: PMC11459368 DOI: 10.1093/biomtc/ujae108] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2023] [Revised: 09/04/2024] [Accepted: 09/14/2024] [Indexed: 10/09/2024]
Abstract
The identification of surrogate markers is motivated by their potential to make decisions sooner about a treatment effect. However, few methods have been developed to actually use a surrogate marker to test for a treatment effect in a future study. Most existing methods consider combining surrogate marker and primary outcome information to test for a treatment effect, rely on fully parametric methods where strict parametric assumptions are made about the relationship between the surrogate and the outcome, and/or assume the surrogate marker is measured at only a single time point. Recent work has proposed a nonparametric test for a treatment effect using only surrogate marker information measured at a single time point by borrowing information learned from a prior study where both the surrogate and primary outcome were measured. In this paper, we utilize this nonparametric test and propose group sequential procedures that allow for early stopping of treatment effect testing in a setting where the surrogate marker is measured repeatedly over time. We derive the properties of the correlated surrogate-based nonparametric test statistics at multiple time points and compute stopping boundaries that allow for early stopping for a significant treatment effect, or for futility. We examine the performance of our proposed test using a simulation study and illustrate the method using data from two distinct AIDS clinical trials.
Collapse
Affiliation(s)
- Layla Parast
- Department of Statistics and Data Sciences, The University of Texas at Austin, Austin, TX 78712, United States
| | - Jay Bartroff
- Department of Statistics and Data Sciences, The University of Texas at Austin, Austin, TX 78712, United States
| |
Collapse
|
3
|
Lin J, Lin J. Incorporating external real-world data (RWD) in confirmatory adaptive design. J Biopharm Stat 2024; 34:805-817. [PMID: 38515261 DOI: 10.1080/10543406.2024.2330212] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2023] [Accepted: 09/20/2023] [Indexed: 03/23/2024]
Abstract
Adaptive designs, such as group sequential designs (and the ones with additional adaptive features) or adaptive platform trials, have been quintessential efficient design strategies in trials of unmet medical needs, especially for generating evidence from global regions. Such designs allow interim decision making and making adjustment to study design when necessary, meanwhile maintaining study integrity and operating characteristics. However, driven by the heightened competitive landscape and the desire to bring effective treatment to patients faster, innovation in the already functional designs is still germane to further propel drug development to a more efficient path. One way to achieve this is by leveraging external real-world data (RWD) in the adaptive designs to support interim or final decision making. In this paper, we propose a novel framework of incorporating external RWD in adaptive design to improve interim and/or final analysis decision making. Within this framework, researchers can prespecify the decision process and choose the timing and amount of borrowing while maintaining objectivity and controlling of type I error. Simulation studies in various scenarios are provided to describe power, type I error, and other performance metrics for interim/final decision making. A case study in non-small cell lung cancer is used for illustration on proposed design framework.
Collapse
Affiliation(s)
- Junjing Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Jianchang Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
4
|
Li R, Wu L, Liu R, Lin J. Flexible seamless 2-in-1 design with sample size adaptation. J Biopharm Stat 2024; 34:1007-1025. [PMID: 38549502 DOI: 10.1080/10543406.2024.2330211] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/15/2023] [Accepted: 01/08/2024] [Indexed: 11/29/2024]
Abstract
The 2-in-1 design is becoming popular in oncology drug development, with the flexibility in using different endpoints at different decision time. Based on the observed interim data, sponsors can choose to seamlessly advance a small phase 2 trial to a full-scale confirmatory phase 3 trial with a pre-determined maximum sample size or remain in a phase 2 trial. While this approach may increase efficiency in drug development, it is rigid and requires a pre-specified fixed sample size. In this paper, we propose a flexible 2-in-1 design with sample size adaptation, while retaining the advantage of allowing an intermediate endpoint for interim decision-making. The proposed design reflects the needs of the recent FDA's Project FrontRunner initiative, which encourages the use of an earlier surrogate endpoint to potentially support accelerated approval with conversion to standard approval with long-term endpoints from the same randomized study. Additionally, we identify the interim decision cut-off to allow a conventional test procedure at the final analysis. Extensive simulation studies showed that the proposed design requires much a smaller sample size and shorter timeline than the simple 2-in-1 design, while achieving similar power. We present a case study in multiple myeloma to demonstrate the benefits of the proposed design.
Collapse
Affiliation(s)
- Runjia Li
- Department of Biostatistics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA
| | - Liwen Wu
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Rachael Liu
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Jianchang Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
5
|
Mulier G, Lin R, Aparicio T, Biard L. Bayesian sequential monitoring strategies for trials of digestive cancer therapeutics. BMC Med Res Methodol 2024; 24:154. [PMID: 39030498 PMCID: PMC11526600 DOI: 10.1186/s12874-024-02278-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2023] [Accepted: 07/08/2024] [Indexed: 07/21/2024] Open
Abstract
BACKGROUND New therapeutics in oncology have presented challenges to existing paradigms and trial designs in all phases of drug development. As a motivating example, we considered an ongoing phase II trial planned to evaluate the combination of a MET inhibitor and an anti-PD-L1 immunotherapy to treat advanced oesogastric carcinoma. The objective of the paper was to exemplify the planning of an adaptive phase II trial with novel anti-cancer agents, including prolonged observation windows and joint sequential evaluation of efficacy and toxicity. METHODS We considered various candidate designs and computed decision rules assuming correlations between efficacy and toxicity. Simulations were conducted to evaluate the operating characteristics of all designs. RESULTS Design approaches allowing continuous accrual, such as the time-to-event Bayesian Optimal Phase II design (TOP), showed good operating characteristics while ensuring a reduced trial duration. All designs were sensitive to the specification of the correlation between efficacy and toxicity during planning, but TOP can take that correlation into account more easily. CONCLUSIONS While specifying design working hypotheses requires caution, Bayesian approaches such as the TOP design had desirable operating characteristics and allowed incorporating concomittant information, such as toxicity data from concomitant observations in another relevant patient population (e.g., defined by mutational status).
Collapse
Affiliation(s)
- Guillaume Mulier
- ECSTRRA team UMR 1153, INSERM, Saint-Louis hospital, 1 avenue Claude Vellefaux, Paris, 75010, France.
- Service de Biostatistique et Information Médicale, AP-HP Saint-Louis hospital, 1 avenue Claude Vellefaux, Paris, 75010, France.
| | - Ruitao Lin
- Department of Biostatistics, MD Anderson Cancer Center, 7007 Bertner Avenue, Houston, 77030, Texas, USA
| | - Thomas Aparicio
- Service d'hépato-gastro-entérologie, Hôpital Saint-Louis, 1 avenue Claude Vellefaux, Paris, 75010, France
- Université Paris Cité, 12 rue de l'École-de-Médecine, Paris, 75006, France
| | - Lucie Biard
- ECSTRRA team UMR 1153, INSERM, Saint-Louis hospital, 1 avenue Claude Vellefaux, Paris, 75010, France
- Service de Biostatistique et Information Médicale, AP-HP Saint-Louis hospital, 1 avenue Claude Vellefaux, Paris, 75010, France
| |
Collapse
|
6
|
Harari O, Park JJH, Lat PK, Mills EJ. Adaptive designs in public health: Vaccine and cluster randomized trials go Bayesian. Stat Med 2024; 43:2811-2829. [PMID: 38716764 DOI: 10.1002/sim.10104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2023] [Revised: 04/23/2024] [Accepted: 04/26/2024] [Indexed: 06/15/2024]
Abstract
Clinical trials in public health-particularly those conducted in low- and middle-income countries-often involve communicable and non-communicable diseases with high disease burden and unmet needs. Trials conducted in these regions often are faced with resource limitations, so improving the efficiencies of these trials is critical. Adaptive trial designs have the potential to save trial time and resources and reduce the number of patients receiving ineffective interventions. In this paper, we provide a detailed account of the implementation of vaccine and cluster randomized trials within the framework of Bayesian adaptive trials, with emphasis on computational efficiency and flexibility with regard to stopping rules and allocation ratios. We offer an educated approach to selecting prior distributions and a data-driven empirical Bayes method for plug-in estimates for nuisance parameters.
Collapse
Affiliation(s)
- Ofir Harari
- Core Clinical Sciences, Vancouver, British Columbia, Canada
| | - Jay J H Park
- Core Clinical Sciences, Vancouver, British Columbia, Canada
- Department of Health Research Methodology, Evidence, and Impact, McMaster University, Hamilton, Ontario, Canada
| | - Prince Kumar Lat
- Biostatistics, Purpose Life Sciences, Vancouver, British Columbia, Canada
| | - Edward J Mills
- Department of Health Research Methodology, Evidence, and Impact, McMaster University, Hamilton, Ontario, Canada
- Purpose Life Sciences, Vancouver, British Columbia, Canada
| |
Collapse
|
7
|
Wu L, Lin J. An adaptive seamless 2-in-1 design with biomarker-driven subgroup enrichment. J Biopharm Stat 2024:1-15. [PMID: 38651758 DOI: 10.1080/10543406.2024.2341683] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2023] [Accepted: 04/05/2024] [Indexed: 04/25/2024]
Abstract
Adaptive seamless phase 2/3 subgroup enrichment design plays a pivotal role in streamlining efficient drug development within a competitive landscape, while also enhancing patient access to promising treatments. This design approach identifies biomarker subgroups with the highest potential to benefit from investigational regimens. The seamless integration of Phase 2 and Phase 3 ensures a timely confirmation of clinical benefits. One significant challenge in adaptive enrichment decisions is determining the optimal timing and maturity of the primary endpoint. In this paper, we propose an adaptive seamless 2-in-1 biomarker-driven subgroup enrichment design that addresses this challenge by allowing subgroup selection using an early intermediate endpoint that predicts clinical benefits (i.e. a surrogate endpoint). The proposed design initiates with a Phase 2 stage involving all participants and can potentially expand into a Phase 3 study focused on the subgroup demonstrating the most favorable clinical outcomes. We will show that, under certain correlation assumptions, the overall type I error may not be inflated at the end of the study. In scenarios where the assumptions may not hold, we present a general framework to control the multiplicity. The flexibility and efficacy of the proposed design are highlighted through an extensive simulation study and illustrated in a case study in multiple myeloma.
Collapse
Affiliation(s)
- Liwen Wu
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Jianchang Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
8
|
Bi D, Liu M, Lin J, Liu R. BEATS: Bayesian hybrid design with flexible sample size adaptation for time-to-event endpoints. Stat Med 2023; 42:5708-5722. [PMID: 37858287 DOI: 10.1002/sim.9936] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/02/2023] [Revised: 07/17/2023] [Accepted: 10/05/2023] [Indexed: 10/21/2023]
Abstract
As the roles of historical trials and real-world evidence in drug development have substantially increased, several approaches have been proposed to leverage external data and improve the design of clinical trials. While most of these approaches focus on methodology development for borrowing information during the analysis stage, there is a risk of inadequate or absent enrollment of concurrent control due to misspecification of heterogeneity from external data, which can result in unreliable estimates of treatment effect. In this study, we introduce a Bayesian hybrid design with flexible sample size adaptation (BEATS) that allows for adaptive borrowing of external data based on the level of heterogeneity to augment the control arm during both the design and interim analysis stages. Moreover, BEATS extends the Bayesian semiparametric meta-analytic predictive prior (BaSe-MAP) to incorporate time-to-event endpoints, enabling optimal borrowing performance. Initially, BEATS calibrates the expected sample size and initial randomization ratio based on heterogeneity among the external data. During the interim analysis, flexible sample size adaptation is performed to address conflicts between the concurrent and historical control, while also conducting futility analysis. At the final analysis, estimation is provided by incorporating the calibrated amount of external data. Therefore, our proposed design allows for an approximation of an ideal randomized controlled trial with an equal randomization ratio while controlling the size of the concurrent control to benefit patients and accelerate drug development. BEATS also offers optimal power and robust estimation through flexible sample size adaptation when conflicts arise between the concurrent control and external data.
Collapse
Affiliation(s)
- Dehua Bi
- Department of Public Health Sciences, University of Chicago, Chicago, Illinois, USA
| | - Meizi Liu
- Statistical & Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Jianchang Lin
- Statistical & Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Rachael Liu
- Statistical & Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
9
|
Zhong C, Li Q, Wu L, Lin J. Using surrogate information to improve confirmatory platform trial with sample size re-estimation. J Biopharm Stat 2022; 32:547-566. [PMID: 35714331 DOI: 10.1080/10543406.2022.2080693] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2021] [Accepted: 04/11/2022] [Indexed: 01/10/2023]
Abstract
Platform design which allows exploring multiple arms with a common control simultaneously is becoming essential for efficient drug development. However, one of the critical challenges for confirmatory platform trials is immature data for interim decisions, particularly for the treatment arm selection and sample size determination with limited data available. We use a modified conditional power (CP) for both treatment arm selection and sample size determination at interim analysis for the proposed platform trial. The modified CP uses the available data from both primary and surrogate endpoints. We also demonstrated the application in a case study of a lung cancer trial.
Collapse
Affiliation(s)
- Chengxue Zhong
- Department of Biostatistics and Data Science, Biostatistics, University of Texas Health Science Center at Houston, Houston, Texas, USA
| | - Qing Li
- Biostatistics and data management, MorphoSys US Inc, Boston, Massachusetts, USA
| | - Liwen Wu
- Statistical & Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts
| | - Jianchang Lin
- Statistical & Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts
| |
Collapse
|
10
|
He T, Liu R, Liu M, Lin J. PMED: Optimal Bayesian Platform Trial Design with Multiple Endpoints. J Biopharm Stat 2022; 32:567-581. [PMID: 36000260 DOI: 10.1080/10543406.2022.2080692] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2022] [Accepted: 04/11/2022] [Indexed: 10/18/2022]
Abstract
In oncology drug development, indication selection and optimal dose identification are the primary objectives for the early phase of clinical trials and could significantly impact the probability of success. Master protocols, e.g., basket trial, umbrella trial, and platform trial, have become popular in practice considering the connection of trial designs with multiple indications and treatment candidates. They also enable the optimization of operational resources and maximize the capability of data-driven decision-making. However, most of the available designs are developed with the efficacy endpoint only for treatment effect estimation and testing, without consideration of the safety end point. Thus, it often lacks a comprehensive quantitative framework to allow optimal treatment selection, which could put future development at risk. We propose an optimal Bayesian platform trial design with multiple end points (PMED) to characterize the overall benefit-risk profile. The design is further extended to allow treatment and indication selection within and across arms, with continuous monitoring on multiple interim analyses for futility. In addition, we propose dynamic borrowing across arms to increase the efficiency and accuracy of estimation given the level of similarity across arms. A hierarchical hypothesis structure is utilized to achieve optimal indication and treatment combination selection by controlling family-wise error. Through simulation studies, we show that PMED is a robust design under the studied scenarios with superb power and controlled family-wise error rate.
Collapse
Affiliation(s)
- Tian He
- Department of Biostatistics and Health Data Science, Indiana University, Indianapolis, Indiana, USA
| | - Rachael Liu
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Meizi Liu
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Jianchang Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
11
|
Lin Z, Zhao D, Lin J, Ni A, Lin J. Statistical methods of indirect comparison with real-world data for survival endpoint under non-proportional hazards. J Biopharm Stat 2022; 32:582-599. [PMID: 35675418 DOI: 10.1080/10543406.2022.2080696] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Abstract
In clinical studies that utilize real-world data, time-to-event outcomes are often germane to scientific questions of interest. Two main obstacles are the presence of non-proportional hazards and confounding bias. Existing methods that could adjust for NPH or confounding bias, but no previous work delineated the complexity of simultaneous adjustments for both. In this paper, a propensity score stratified MaxCombo and weighted Cox model is proposed. This model can adjust for confounding bias and NPH and can be pre-specified when NPH pattern is unknown in advance. The method has robust performance as demonstrated in simulation studies and in a case study.
Collapse
Affiliation(s)
- Zihan Lin
- Division of Biostatistics, College of Public Health, the Ohio State University, Columbus, Ohio, USA
| | - Dan Zhao
- Biometrics Department, Servier Pharmaceuticals, Boston, Massachusetts, USA
| | - Junjing Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| | - Ai Ni
- Division of Biostatistics, College of Public Health, the Ohio State University, Columbus, Ohio, USA
| | - Jianchang Lin
- Statistical and Quantitative Sciences, Takeda Pharmaceuticals, Cambridge, Massachusetts, USA
| |
Collapse
|
12
|
Wu L, Li Q, Liu M, Lin J. Incorporating Surrogate Information for Adaptive Subgroup Enrichment Design with Sample Size Re-estimation. Stat Biopharm Res 2022. [DOI: 10.1080/19466315.2022.2046150] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Liwen Wu
- Takeda Pharmaceuticals, 40 Landsdowne Street, Cambridge, MA, 02139, USA
| | - Qing Li
- MorphoSys US Inc., 470 Atlantic Ave 14th Floor, Boston, MA, 02210, USA
| | - Mengya Liu
- Takeda Pharmaceuticals, 40 Landsdowne Street, Cambridge, MA, 02139, USA
| | - Jianchang Lin
- Takeda Pharmaceuticals, 40 Landsdowne Street, Cambridge, MA, 02139, USA
| |
Collapse
|