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Signorovitch J, Zhang J, Brown D, Dunnmon P, Xiu L, Done N, Hsu K, Barbachano Y, Lousada I. Pathway for Development and Validation of Multi-domain Endpoints for Amyloid Light Chain (AL) Amyloidosis. Ther Innov Regul Sci 2024; 58:600-609. [PMID: 38632158 PMCID: PMC11169055 DOI: 10.1007/s43441-024-00641-6] [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: 07/28/2023] [Accepted: 03/08/2024] [Indexed: 04/19/2024]
Abstract
Immunoglobin light chain (AL) amyloidosis is a rare disease in which a plasma cell dyscrasia leads to deposition of insoluble amyloid fibrils in multiple organs. To facilitate development of new therapies for this heterogenous disease, a public-private partnership was formed between the nonprofit Amyloidosis Research Consortium and the US Food and Drug Administration Center for Drug Evaluation and Research. In 2020, the Amyloidosis Forum launched an initiative to identify clinical trial endpoints and analytic strategies across affected organ systems and life impacts via specialized working groups. This review summarizes the proceedings of the Statistical Group and proposes a pathway for development and validation of multi-domain endpoints (MDEs) for potential use in AL amyloidosis clinical trials. Specifically, drawing on candidate domain-specific endpoints recommended by each organ-specific working group, different approaches to constructing MDEs were considered. Future studies were identified to assess the validity, meaningfulness and performance of MDEs through use of natural history and clinical trial data. Ultimately, for drug development, the context of use in a regulatory evaluation, the specific patient population, and the investigational therapeutic mechanism should drive selection of appropriate endpoints. MDEs for AL amyloidosis, once developed and validated, will provide important options for advancing patient-focused drug development in this multi-system disease.
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Affiliation(s)
| | - Jialu Zhang
- US Food and Drug Administration, Silver Spring, USA
| | - David Brown
- UK Medicines & Healthcare Products Regulatory Agency, London, UK
| | | | - Liang Xiu
- Janssen Research & Development, Raritan, USA
| | | | - Kristen Hsu
- Amyloidosis Research Consortium, 320 Nevada Street, Suite 210, Newton, MA, 02460, USA
| | | | - Isabelle Lousada
- Amyloidosis Research Consortium, 320 Nevada Street, Suite 210, Newton, MA, 02460, USA.
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2
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Schoenen S, Verbeeck J, Koletzko L, Brambilla I, Kuchenbuch M, Dirani M, Zimmermann G, Dette H, Hilgers RD, Molenberghs G, Nabbout R. Istore: a project on innovative statistical methodologies to improve rare diseases clinical trials in limited populations. Orphanet J Rare Dis 2024; 19:96. [PMID: 38431612 PMCID: PMC10909280 DOI: 10.1186/s13023-024-03103-2] [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: 04/28/2023] [Accepted: 02/23/2024] [Indexed: 03/05/2024] Open
Abstract
BACKGROUND The conduct of rare disease clinical trials is still hampered by methodological problems. The number of patients suffering from a rare condition is variable, but may be very small and unfortunately statistical problems for small and finite populations have received less consideration. This paper describes the outline of the iSTORE project, its ambitions, and its methodological approaches. METHODS In very small populations, methodological challenges exacerbate. iSTORE's ambition is to develop a comprehensive perspective on natural history course modelling through multiple endpoint methodologies, subgroup similarity identification, and improving level of evidence. RESULTS The methodological approaches cover methods for sound scientific modeling of natural history course data, showing similarity between subgroups, defining, and analyzing multiple endpoints and quantifying the level of evidence in multiple endpoint trials that are often hampered by bias. CONCLUSION Through its expected results, iSTORE will contribute to the rare diseases research field by providing an approach to better inform about and thus being able to plan a clinical trial. The methodological derivations can be synchronized and transferability will be outlined.
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Affiliation(s)
- Stefanie Schoenen
- Institute of Medical Statistics, RWTH Aachen University, Pauwelsstrasse 19, 52074, Aachen, Germany
| | - Johan Verbeeck
- I-BioStat, Data Science Institute, Hasselt University, Martelarenlaan 42, 3500, Hasselt, Belgium
| | - Lukas Koletzko
- Institute of Statistics, Ruhr-University Bochum, Universitätsstraße 150, 44801, Bochum, Germany
| | - Isabella Brambilla
- Dravet Italia Onlus - European Patient Advocacy Group (ePAG) EpiCARE, 37100, Verona, Italy
- Department of Surgical Sciences, Dentistry, Gynecology and Pediatrics, Research Center for Pediatric Epilepsies, University of Verona, Via S. Francesco, 22, 37129, Verona, Italy
| | - Mathieu Kuchenbuch
- Institut des Maladies Gènètiques Imagine-Necker Enfants malades Hospital, 24 Boulevard du Montparnasse, 75015, Paris, France
- Necker Enfants malades Hospital, 149 Rue de Sèvre, 75015, Paris, France
| | - Maya Dirani
- Institut des Maladies Gènètiques Imagine-Necker Enfants malades Hospital, 24 Boulevard du Montparnasse, 75015, Paris, France
- Necker Enfants malades Hospital, 149 Rue de Sèvre, 75015, Paris, France
| | - Georg Zimmermann
- Team Biostatistics and Big Medical Data, IDA Lab Salzburg, Paracelsus Medical University, Strubergasse 21, 5020, Salzburg, Austria
| | - Holger Dette
- Institute of Statistics, Ruhr-University Bochum, Universitätsstraße 150, 44801, Bochum, Germany
| | - Ralf-Dieter Hilgers
- Institute of Medical Statistics, RWTH Aachen University, Pauwelsstrasse 19, 52074, Aachen, Germany.
| | - Geert Molenberghs
- I-BioStat, Data Science Institute, Hasselt University, Martelarenlaan 42, 3500, Hasselt, Belgium
- I-BioStat, KU Leuven, Kapucijnenvoer 35, 3000, Leuven, Belgium
| | - Rima Nabbout
- Institut des Maladies Gènètiques Imagine-Necker Enfants malades Hospital, 24 Boulevard du Montparnasse, 75015, Paris, France
- Necker Enfants malades Hospital, 149 Rue de Sèvre, 75015, Paris, France
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3
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Samlowski W. The Effect of Non-Overlapping Somatic Mutations in BRAF, NRAS, NF1, or CKIT on the Incidence and Outcome of Brain Metastases during Immune Checkpoint Inhibitor Therapy of Metastatic Melanoma. Cancers (Basel) 2024; 16:594. [PMID: 38339344 PMCID: PMC10854687 DOI: 10.3390/cancers16030594] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2023] [Revised: 01/24/2024] [Accepted: 01/29/2024] [Indexed: 02/12/2024] Open
Abstract
Previous studies suggested that somatic BRAF and NRAS mutations in metastatic melanoma increase the risk for brain metastases. The risk related to other non-overlapping "driver" mutations is unknown. We performed a retrospective evaluation of the incidence, timing, and outcome of brain metastases in a population of melanoma patients that underwent uniform next-gen sequencing. All patients were treated with initial checkpoint inhibitor therapy. Seventeen of 88 patients (20.0%) developed brain metastases. Eleven patients had brain metastases at diagnosis (12.9%). These were all patients with BRAF V600 or NF1 mutations. Only six patients with NRAS, NF1, KIT, or BRAF mutations (including fusions/internal rearrangements experienced delayed CNS progression following immunotherapy (7.1%)). No "quadruple negative" patient developed brain metastases. Patients with brain metastases at diagnosis had a better outcome than those with delayed intracranial progression. Current predictive markers, (LDH, tumor mutation burden, and PDL1) were poorly correlated with the development of brain metastases. Treatment with immunotherapy appears to reduce the incidence of brain metastases. Next-gen molecular sequencing of tumors in metastatic melanoma patients was useful in identifying genetic subpopulations with an increased or reduced risk of brain metastases. This may allow eventual personalization of screening strategies.
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Affiliation(s)
- Wolfram Samlowski
- Comprehensive Cancer Centers of Nevada, Las Vegas, NV 89148, USA; ; Tel.: +1-702-321-3930
- Kirk Kerkorian School of Medicine, University of Nevada Las Vegas (UNLV), Las Vegas, NV 89106, USA
- School of Medicine, University of Nevada (Reno), Reno, NV 89557, USA
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4
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Geroldinger M, Verbeeck J, Thiel KE, Molenberghs G, Bathke AC, Laimer M, Zimmermann G. A neutral comparison of statistical methods for analyzing longitudinally measured ordinal outcomes in rare diseases. Biom J 2024; 66:e2200236. [PMID: 36890631 DOI: 10.1002/bimj.202200236] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/27/2022] [Revised: 12/27/2022] [Accepted: 01/30/2023] [Indexed: 03/10/2023]
Abstract
Ordinal data in a repeated measures design of a crossover study for rare diseases usually do not allow for the use of standard parametric methods, and hence, nonparametric methods should be considered instead. However, only limited simulation studies in settings with small sample sizes exist. Therefore, starting from an Epidermolysis Bullosa simplex trial with the above-mentioned design, a rank-based approach using the R package nparLD and different generalized pairwise comparisons (GPC) methods were compared impartially in a simulation study. The results revealed that there was not one single best method for this particular design, because a trade-off exists between achieving high power, accounting for period effects, and for missing data. Specifically, nparLD as well as the unmatched GPC approaches do not address crossover aspects, and the univariate GPC variants partly ignore the longitudinal information. The matched GPC approaches, on the other hand, take the crossover effect into account in the sense of incorporating the within-subject association. Overall, the prioritized unmatched GPC method achieved the highest power in the simulation scenarios, although this may be due to the specified prioritization. The rank-based approach yielded good power even at a sample size ofN = 6 $N=6$ , whereas the matched GPC method could not control the type I error.
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Affiliation(s)
- Martin Geroldinger
- Team Biostatistics and Big Medical Data, IDA Lab Salzburg, Paracelsus Medical University, Salzburg, Austria
- Department of Research and Innovation, Paracelsus Medical University, Salzburg, Austria
| | - Johan Verbeeck
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium
| | - Konstantin E Thiel
- Team Biostatistics and Big Medical Data, IDA Lab Salzburg, Paracelsus Medical University, Salzburg, Austria
- Department of Research and Innovation, Paracelsus Medical University, Salzburg, Austria
| | - Geert Molenberghs
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium
- Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), KULeuven, Leuven, Belgium
| | - Arne C Bathke
- Intelligent Data Analytics (IDA) Lab Salzburg, Department of Artificial Intelligence and Human Interfaces, Faculty of Digital and Analytical Sciences, Paris Lodron University of Salzburg, Salzburg, Austria
| | - Martin Laimer
- Department of Dermatology and Allergology, Paracelsus Medical University, Salzburg, Austria
| | - Georg Zimmermann
- Team Biostatistics and Big Medical Data, IDA Lab Salzburg, Paracelsus Medical University, Salzburg, Austria
- Department of Research and Innovation, Paracelsus Medical University, Salzburg, Austria
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5
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Verbeeck J, Dirani M, Bauer JW, Hilgers RD, Molenberghs G, Nabbout R. Composite endpoints, including patient reported outcomes, in rare diseases. Orphanet J Rare Dis 2023; 18:262. [PMID: 37658423 PMCID: PMC10474650 DOI: 10.1186/s13023-023-02819-x] [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: 03/07/2023] [Accepted: 07/08/2023] [Indexed: 09/03/2023] Open
Abstract
BACKGROUND When assessing the efficacy of a treatment in any clinical trial, it is recommended by the International Conference on Harmonisation to select a single meaningful endpoint. However, a single endpoint is often not sufficient to reflect the full clinical benefit of a treatment in multifaceted diseases, which is often the case in rare diseases. Therefore, the use of a combination of several clinically meaningful outcomes is preferred. Many methodologies that allow for combining outcomes in a so-called composite endpoint are however limited in a number of ways, not in the least in the number and type of outcomes that can be combined and in the poor small-sample properties. Moreover, patient reported outcomes, such as quality of life, often cannot be integrated in a composite analysis, in spite of their intrinsic value. RESULTS Recently, a class of non-parametric generalized pairwise comparisons tests have been proposed, which members do allow for any number and type of outcomes, including patient reported outcomes. The class enjoys good small-sample properties. Moreover, this very flexible class of methods allows for prioritizing the outcomes by clinical severity, allows for matched designs and for adding a threshold of clinical relevance. Our aim is to introduce the generalized pairwise comparison ideas and concepts for rare disease clinical trial analysis, and demonstrate their benefit in a post-hoc analysis of a small-sample trial in epidermolysis bullosa. More precisely, we will include a patient relevant outcome (Quality of life), in a composite endpoint. This publication is part of the European Joint Programme on Rare Diseases (EJP RD) series on innovative methodologies for rare diseases clinical trials, which is based on the webinars presented within the educational activity of EJP RD. This publication covers the webinar topic on composite endpoints in rare diseases and includes participants' response to a questionnaire on this topic. CONCLUSIONS Generalized pairwise comparisons is a promising statistical methodology for evaluating any type of composite endpoints in rare disease trials and may allow a better evaluation of therapy efficacy including patients reported outcomes in addition to outcomes related to the diseases signs and symptoms.
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Affiliation(s)
- Johan Verbeeck
- Data Science Institute, Hasselt University, Hasselt, Belgium.
| | - Maya Dirani
- reference centre for rare epilepsies Université Paris cité, Assistance Publique-Hôpitaux de Paris, Hôpital Necker-Enfants Malades, Institut Imagine, Paris, France
| | - Johann W Bauer
- Department of Dermatology and Allergology, Paracelsus Medical University, Salzburg, Austria
| | - Ralf-Dieter Hilgers
- Department of Medical Statistics, MTZ - Medizintechnisches Zentrum, Aachen, Germany
| | - Geert Molenberghs
- Data Science Institute, Hasselt University, Hasselt, Belgium
- L-Biostat, KULeuven, Leuven, Belgium
| | - Rima Nabbout
- reference centre for rare epilepsies Université Paris cité, Assistance Publique-Hôpitaux de Paris, Hôpital Necker-Enfants Malades, Institut Imagine, Paris, France
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6
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De Backer M, Legrand C, Péron J, Lambert A, Buyse M. On the use of extreme value tail modeling for generalized pairwise comparisons with censored outcomes. Pharm Stat 2023; 22:284-299. [PMID: 36321470 DOI: 10.1002/pst.2271] [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: 11/05/2021] [Revised: 06/17/2022] [Accepted: 10/10/2022] [Indexed: 11/07/2022]
Abstract
In randomized clinical trials, methods of pairwise comparisons such as the 'Net Benefit' or the 'win ratio' have recently gained much attention when interests lies in assessing the effect of a treatment as compared to a standard of care. Among other advantages, these methods are usually praised for delivering a treatment measure that can easily handle multiple outcomes of different nature, while keeping a meaningful interpretation for patients and clinicians. For time-to-event outcomes, a recent suggestion emerged in the literature for estimating these treatment measures by providing a natural handling of censored outcomes. However, this estimation procedure may lead to biased estimates when tails of survival functions cannot be reliably estimated using Kaplan-Meier estimators. The problem then extrapolates to the other outcomes incorporated in the pairwise comparison construction. In this work, we suggest to extend the procedure by the consideration of a hybrid survival function estimator that relies on an extreme value tail model through the Generalized Pareto distribution. We provide an estimator of treatment effect measures that notably improves on bias and remains easily apprehended for practical implementation. This is illustrated in an extensive simulation study as well as in an actual trial of a new cancer immunotherapy.
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Affiliation(s)
| | | | - Julien Péron
- CNRS, UMR 5558, Laboratoire de Biométrie et Biologie Evolutive, Equipe Biostatistique-Santé, Université Lyon 1, Villeurbanne, France
- Service de Biostatistique et Bioinformatique, Hospices Civils de Lyon, Lyon, France
- Oncology department, Hospices Civils de Lyon, Lyon, France
| | - Alexandre Lambert
- Global Biometrics and Data Sciences, Bristol-Myers Squibb, Braine-l'Alleud, Belgium
| | - Marc Buyse
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium
- Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Diepenbeek, Belgium
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7
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Fuyama K, Ogawa M, Mizusawa J, Kanemitsu Y, Fujita S, Kawahara T, Sakamaki K, Oba K. Impact of correlations between prioritized outcomes on the net benefit and its estimate by generalized pairwise comparisons. Stat Med 2023; 42:1606-1624. [PMID: 36849124 DOI: 10.1002/sim.9690] [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: 08/11/2022] [Revised: 01/31/2023] [Accepted: 02/09/2023] [Indexed: 03/01/2023]
Abstract
Benefit-risk balance is gaining interest in clinical trials. For the comprehensive assessment of benefits and risks, generalized pairwise comparisons are increasingly used to estimate the net benefit based on multiple prioritized outcomes. Although previous research has demonstrated that the correlations between the outcomes impact the net benefit and its estimate, the direction and magnitude of this impact remain unclear. In this study, we investigated the impact of correlations between two binary or Gaussian variables on the true net benefit values via theoretical and numerical analyses. We also explored the impact of correlations between survival and categorical variables on the net benefit estimates based on four existing methods (Gehan, Péron, Gehan with correction, and Péron with correction) in the presence of right censoring via simulation and application to actual oncology clinical trial data. Our theoretical and numerical analyses revealed that the true net benefit values were impacted by the correlations in various directions depending on the outcome distributions. With binary endpoints, this direction was governed by a simple rule with a threshold of 50% for a favorable outcome. Our simulation showed that the net benefit estimates based on Gehan's or Péron's scoring rule could be substantially biased in the presence of right censoring, and that the direction and magnitude of this bias were associated with the outcome correlations. The recently proposed correction method greatly reduced this bias, even in the presence of strong outcome correlations. The impact of correlations should be carefully considered when interpreting the net benefit and its estimate.
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Affiliation(s)
- Kanako Fuyama
- Graduate School of Medicine, Hokkaido University, Sapporo, Japan.,Graduate School of Interdisciplinary Information Studies, The University of Tokyo, Tokyo, Japan
| | - Mitsunori Ogawa
- Interfaculty Initiative in Information Studies, The University of Tokyo, Tokyo, Japan
| | - Junki Mizusawa
- Japan Clinical Oncology Group Data Center/Operations Office, National Cancer Center Hospital, Tokyo, Japan
| | - Yukihide Kanemitsu
- Department of Colorectal Surgery, National Cancer Center Hospital, Tokyo, Japan
| | - Shin Fujita
- Department of Surgery, Tochigi Cancer Center, Tochigi, Japan
| | - Takuya Kawahara
- Clinical Research Promotion Center, The University of Tokyo Hospital, Tokyo, Japan
| | - Kentaro Sakamaki
- Center for Data Science, Yokohama City University, Yokohama, Japan
| | - Koji Oba
- Interfaculty Initiative in Information Studies, The University of Tokyo, Tokyo, Japan.,Department of Biostatistics, School of Public Health, Graduate School of Medicine, The University of Tokyo, Tokyo, Japan
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8
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Deltuvaite-Thomas V, Verbeeck J, Burzykowski T, Buyse M, Tournigand C, Molenberghs G, Thas O. Generalized pairwise comparisons for censored data: An overview. Biom J 2023; 65:e2100354. [PMID: 36127290 DOI: 10.1002/bimj.202100354] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2021] [Revised: 07/13/2022] [Accepted: 07/21/2022] [Indexed: 11/09/2022]
Abstract
The method of generalized pairwise comparisons (GPC) is an extension of the well-known nonparametric Wilcoxon-Mann-Whitney test for comparing two groups of observations. Multiple generalizations of Wilcoxon-Mann-Whitney test and other GPC methods have been proposed over the years to handle censored data. These methods apply different approaches to handling loss of information due to censoring: ignoring noninformative pairwise comparisons due to censoring (Gehan, Harrell, and Buyse); imputation using estimates of the survival distribution (Efron, Péron, and Latta); or inverse probability of censoring weighting (IPCW, Datta and Dong). Based on the GPC statistic, a measure of treatment effect, the "net benefit," can be defined. It quantifies the difference between the probabilities that a randomly selected individual from one group is doing better than an individual from the other group. This paper aims at evaluating GPC methods for censored data, both in the context of hypothesis testing and estimation, and providing recommendations related to their choice in various situations. The methods that ignore uninformative pairs have comparable power to more complex and computationally demanding methods in situations of low censoring, and are slightly superior for high proportions (>40%) of censoring. If one is interested in estimation of the net benefit, Harrell's c index is an unbiased estimator if the proportional hazards assumption holds. Otherwise, the imputation (Efron or Peron) or IPCW (Datta, Dong) methods provide unbiased estimators in case of proportions of drop-out censoring up to 60%.
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Affiliation(s)
| | - Johan Verbeeck
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Limburg, Belgium
| | - Tomasz Burzykowski
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium.,Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Limburg, Belgium
| | - Marc Buyse
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium.,Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Limburg, Belgium
| | - Christophe Tournigand
- Medical Oncology Department at University Hospital Henri Mondor, Université Paris Est Créteil, France
| | - Geert Molenberghs
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Limburg, Belgium.,Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), KU Leuven, Leuven, Belgium
| | - Olivier Thas
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and Statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Limburg, Belgium.,Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent, Belgium.,National Institute of Applied Statistics Research Australia (NIASRA), University of Wollongong, Wollongong, Australia
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9
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Giai J, Péron J, Roustit M, Cracowski JL, Roy P, Ozenne B, Buyse M, Maucort-Boulch D. Individualized Net Benefit estimation and meta-analysis using generalized pairwise comparisons in N-of-1 trials. Stat Med 2023; 42:878-893. [PMID: 36597195 DOI: 10.1002/sim.9648] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2021] [Revised: 09/30/2022] [Accepted: 12/21/2022] [Indexed: 01/05/2023]
Abstract
BACKGROUND The Net Benefit (Δ) is a measure of the benefit-risk balance in clinical trials, based on generalized pairwise comparisons (GPC) using several prioritized outcomes and thresholds of clinical relevance. We extended Δ to N-of-1 trials, with a focus on patient-level and population-level Δ. METHODS We developed a Δ estimator at the individual level as an extension of the stratum-specific Δ, and at the population-level as an extension of the stratified Δ. We performed a simulation study mimicking PROFIL, a series of 38 N-of-1 trials testing sildenafil in Raynaud's phenomenon, to assess the power for such an analysis with realistic data. We then reanalyzed PROFIL using GPC. This reanalysis was finally interpreted in the context of the main analysis of PROFIL which used Bayesian individual probabilities of efficacy. RESULTS Simulations under the null showed good size of the test for both individual and population levels. The test lacked power when being simulated from the true PROFIL data, even when increasing the number of repetitions up to 140 days per patient. PROFIL individual-level estimated Δ were well correlated with the probabilities of efficacy from the Bayesian analysis while showing similarly wide confidence intervals. Population-level estimated Δ was not significantly different from zero, consistently with the previous Bayesian analysis. CONCLUSION GPC can be used to estimate individual Δ which can then be aggregated in a meta-analytic way in N-of-1 trials. GPC ability to easily incorporate patient preferences allow for more personalized treatment evaluation, while needing much less computing time than Bayesian modeling.
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Affiliation(s)
- Joris Giai
- Univ. Grenoble Alpes, Inserm CIC1406, CHU Grenoble Alpes, TIMC UMR 5525, Grenoble, France
- Université de Lyon, Université Lyon 1, CNRS, UMR 5558, Laboratoire de Biométrie et Biologie Évolutive, Équipe Biostatistique-Santé, Villeurbanne, France
| | - Julien Péron
- Université de Lyon, Université Lyon 1, CNRS, UMR 5558, Laboratoire de Biométrie et Biologie Évolutive, Équipe Biostatistique-Santé, Villeurbanne, France
- Hospices Civils de Lyon, Pôle Santé Publique, Service de Biostatistique - Bioinformatique, Lyon, France
- Hospices Civils de Lyon, Oncology department, Pierre-Bénite, France
| | - Matthieu Roustit
- Univ. Grenoble Alpes, Inserm CIC1406, CHU Grenoble Alpes, HP2 Inserm U1300, Grenoble, France
| | - Jean-Luc Cracowski
- Univ. Grenoble Alpes, Inserm CIC1406, CHU Grenoble Alpes, HP2 Inserm U1300, Grenoble, France
| | - Pascal Roy
- Université de Lyon, Université Lyon 1, CNRS, UMR 5558, Laboratoire de Biométrie et Biologie Évolutive, Équipe Biostatistique-Santé, Villeurbanne, France
- Hospices Civils de Lyon, Pôle Santé Publique, Service de Biostatistique - Bioinformatique, Lyon, France
| | - Brice Ozenne
- Neurobiology Research Unit, Rigshospitalet, Copenhagen, Denmark
- University of Copenhagen, Department of Public Health, Section of Biostatistics, Copenhagen, Denmark
| | - Marc Buyse
- International Drug Development Institute (IDDI), San Francisco, California, USA
- Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-Biostat), Hasselt University, Hasselt, Belgium
| | - Delphine Maucort-Boulch
- Université de Lyon, Université Lyon 1, CNRS, UMR 5558, Laboratoire de Biométrie et Biologie Évolutive, Équipe Biostatistique-Santé, Villeurbanne, France
- Hospices Civils de Lyon, Pôle Santé Publique, Service de Biostatistique - Bioinformatique, Lyon, France
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10
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Al Masud A, Weerahandi S, Yu CR. Evaluating Treatment Efficacy by Combining Multiple Measures in Clinical Trial Applications. Pharmaceut Med 2023; 37:7-16. [PMID: 36456683 DOI: 10.1007/s40290-022-00454-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 11/13/2022] [Indexed: 12/03/2022]
Abstract
A variety of clinical and laboratory measures can be used in clinical trials to assess the benefit of a new treatment over the standard of care. Data from clinical studies are often analyzed by combining individual outcomes into one primary outcome. That primary outcome is then referred to as a composite endpoint or a combined endpoint. We propose an analysis on the composite endpoint with Gehan's (1965) ranking approach where each subject in the treatment group is compared with each subject in the control group in a pair-wise manner. Our approach reduces computational time and complexity to construct a subject-level pairwise composite score. We develop a statistical testing procedure for the analysis of composite endpoints when using the hierarchical scores. In this article, we propose two tests (a parametric test and a non-parametric bootstrap procedure) for evaluating the effect of treatment. The proposed parametric test has an asymptotic F-distribution based on standard statistical assumptions. We conduct an extensive simulation study to assess the operating characteristics of the proposed methods and to compare them with an existing method. We illustrate the methods using publicly available data from two clinical studies.
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Affiliation(s)
- Abdullah Al Masud
- Biostatistics and Programming, Sanofi US, 55 Corporate Dr, Bridgewater, NJ, 08807, USA.
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11
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Liu X, Ning J, He X, Tilley BC, Li R. Semiparametric regression modeling of the global percentile outcome. J Stat Plan Inference 2023; 222:149-159. [PMID: 36467464 PMCID: PMC9717488 DOI: 10.1016/j.jspi.2022.06.009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
Abstract
When no single outcome is sufficient to capture the multidimensional impairments of a disease, investigators often rely on multiple outcomes for comprehensive assessment of global disease status. Methods for assessing covariate effects on global disease status include the composite outcome and global test procedures. One global test procedure is the O'Brien's rank-sum test, which combines information from multiple outcomes using a global rank-sum score. However, existing methods for the global rank-sum do not lend themselves to regression modeling. We consider sensible regression strategies for the global percentile outcome (GPO), under the transformed linear model and the monotonic index model. Posing minimal assumptions, we develop estimation and inference procedures that account for the special features of the GPO. Asymptotics are established using U-statistic and U-process techniques. We illustrate the practical utilities of the proposed methods via extensive simulations and application to a Parkinson's disease study.
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Affiliation(s)
- Xiangyu Liu
- Department of Biometrics, Gilead Sciences, Seattle, WA, United States of America
| | - Jing Ning
- Department of Biostatistics, University of Texas MD Anderson Cancer Center, Houston, TX, United States of America
| | - Xuming He
- Department of Statistics, University of Michigan, Ann Arbor, MI, United States of America
| | - Barbara C. Tilley
- Department of Biostatistics and Data Science, The University of Texas Health Science Center at Houston, TX, United States of America
| | - Ruosha Li
- Department of Biostatistics and Data Science, The University of Texas Health Science Center at Houston, TX, United States of America
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12
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Mao L, Kim K, Miao X. Sample size formula for general win ratio analysis. Biometrics 2022; 78:1257-1268. [PMID: 34047366 PMCID: PMC8627514 DOI: 10.1111/biom.13501] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2020] [Revised: 05/10/2021] [Accepted: 05/19/2021] [Indexed: 12/23/2022]
Abstract
Originally proposed for the analysis of prioritized composite endpoints, the win ratio has now expanded into a broad class of methodology based on general pairwise comparisons. Complicated by the non-i.i.d. structure of the test statistic, however, sample size estimation for the win ratio has lagged behind. In this article, we develop general and easy-to-use formulas to calculate sample size for win ratio analysis of different outcome types. In a nonparametric setting, the null variance of the test statistic is derived using U-statistic theory in terms of a dispersion parameter called the standard rank deviation, an intrinsic characteristic of the null outcome distribution and the user-defined rule of comparison. The effect size can be hypothesized either on the original scale of the population win ratio, or on the scale of a "usual" effect size suited to the outcome type. The latter approach allows one to measure the effect size by, for example, odds/continuation ratio for totally/partially ordered outcomes and hazard ratios for composite time-to-event outcomes. Simulation studies show that the derived formulas provide accurate estimates for the required sample size across different settings. As illustration, real data from two clinical studies of hepatic and cardiovascular diseases are used as pilot data to calculate sample sizes for future trials.
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Affiliation(s)
- Lu Mao
- Department of Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, Wisconsin 53726, U.S.A
| | - KyungMann Kim
- Department of Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, Wisconsin 53726, U.S.A
| | - Xinran Miao
- Department of Biostatistics and Medical Informatics, University of Wisconsin-Madison, Madison, Wisconsin 53726, U.S.A
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13
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Zhou TJ, LaValley MP, Nelson KP, Cabral HJ, Massaro JM. Calculating power for the Finkelstein and Schoenfeld test statistic for a composite endpoint with two components. Stat Med 2022; 41:3321-3335. [PMID: 35486817 DOI: 10.1002/sim.9419] [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: 05/01/2021] [Revised: 04/08/2022] [Accepted: 04/11/2022] [Indexed: 11/10/2022]
Abstract
The Finkelstein and Schoenfeld (FS) test is a popular generalized pairwise comparison approach to analyze prioritized composite endpoints (eg, components are assessed in order of clinical importance). Power and sample size estimation for the FS test, however, are generally done via simulation studies. This simulation approach can be extremely computationally burdensome, compounded by increasing number of composite endpoints and with increasing sample size. Here we propose an analytical solution to calculate power and sample size for commonly encountered two-component hierarchical composite endpoints. The power formulas are derived assuming underlying distributions in each of the component outcomes on the population level, which provide a computationally efficient and practical alternative to the standard simulation approach. Monte Carlo simulation results demonstrate that performance of the proposed power formulas are consistent with that of the simulation approach, and have generally desirable objective properties including robustness to mis-specified distributional assumptions. We demonstrate the application of the proposed formulas by calculating power and sample size for the Transthyretin Amyloidosis Cardiomyopathy Clinical Trial.
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Affiliation(s)
- Thomas J Zhou
- Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts, USA
| | - Michael P LaValley
- Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts, USA
| | - Kerrie P Nelson
- Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts, USA
| | - Howard J Cabral
- Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts, USA
| | - Joseph M Massaro
- Department of Biostatistics, Boston University School of Public Health, Boston, Massachusetts, USA.,Department of Statistics, Boston University, Boston, Massachusetts, USA
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14
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Yang S, Troendle J, Pak D, Leifer E. Event-specific win ratios for inference with terminal and non-terminal events. Stat Med 2021; 41:1225-1241. [PMID: 34816472 DOI: 10.1002/sim.9266] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2021] [Revised: 10/15/2021] [Accepted: 11/03/2021] [Indexed: 11/07/2022]
Abstract
For semi-competing risks data involving a non-terminal event and a terminal event we derive the asymptotic distributions of the event-specific win ratios under proportional hazards (PH) assumptions for the relevant cause-specific hazard functions of the non-terminal and terminal event, respectively. The win ratios converge to the respective hazard ratios under the PH assumptions and therefore are censoring-free, whether or not the censoring distributions in the two treatment arms are the same. With the asymptotic bivariate normal distributions of the win ratios, confidence intervals and testing procedures are obtained. Through extensive simulation studies and data analysis, we identified proper transformations of the win ratios that yield good control of the type one error rate for various testing procedures while maintaining competitive power. The confidence intervals also have good coverage probabilities. Furthermore, a test for the PH assumptions and a test of equal hazard ratios are developed. The new procedures are illustrated in the clinical trial Aldosterone Antagonist Therapy for Adults With Heart Failure and Preserved Systolic Function, which evaluated the effects of spironolactone in patients with heart failure and a preserved left ventricular ejection fraction.
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Affiliation(s)
- Song Yang
- Office of Biostatistics Research, National Heart, Lung, and Blood Institute, Bethesda, Maryland, USA
| | - James Troendle
- Office of Biostatistics Research, National Heart, Lung, and Blood Institute, Bethesda, Maryland, USA
| | - Daewoo Pak
- Division of Data Science, Yonsei University, Wonju, South Korea
| | - Eric Leifer
- Office of Biostatistics Research, National Heart, Lung, and Blood Institute, Bethesda, Maryland, USA
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15
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Ramey SL, DeLuca SC, Stevenson RD, Conaway M, Darragh AR, Lo W. Constraint-Induced Movement Therapy for Cerebral Palsy: A Randomized Trial. Pediatrics 2021; 148:peds.2020-033878. [PMID: 34649982 DOI: 10.1542/peds.2020-033878] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Accepted: 08/03/2021] [Indexed: 11/24/2022] Open
Abstract
OBJECTIVES With the Children with Hemiparesis Arm and Hand Movement Project (CHAMP) multisite factorial randomized controlled trial, we compared 2 doses and 2 constraint types of constraint-induced movement therapy (CIMT) to usual customary treatment (UCT). METHODS CHAMP randomly assigned 118 2- to 8-year-olds with hemiparetic cerebral palsy to one of 5 treatments with assessments at baseline, end of treatment, and 6 months posttreatment. Primary blinded outcomes were the assisting hand assessment; Peabody Motor Development Scales, Second Edition, Visual Motor Integration; and Quality of Upper Extremity Skills Test Dissociated Movement. Parents rated functioning on the Pediatric Evaluation of Disabilities Inventory-Computer Adaptive Test Daily Activities and Child Motor Activity Log How Often scale. Analyses were focused on blinded and parent-report outcomes and rank-order gains across all measures. RESULTS Findings varied in statistical significance when analyzing individual blinded outcomes. parent reports, and rank-order gains. Consistently, high-dose CIMT, regardless of constraint type, produced a pattern of greatest short- and long-term gains (1.7% probability of occurring by chance alone) and significant gains on visual motor integration and dissociated movement at 6 months. O'Brien's rank-order analyses revealed high-dose CIMT produced significantly greater improvement than a moderate dose or UCT. All CIMT groups improved significantly more in parent-reported functioning, compared with that of UCT. Children with UCT also revealed objective gains (eg, 48% exceeded the smallest-detectable assisting hand assessment change, compared with 71% high-dose CIMT at the end of treatment). CONCLUSIONS CHAMP provides novel albeit complex findings: although most individual blinded outcomes fell below statistical significance for group differences, high-dose CIMT consistently produced the largest improvements at both time points. An unexpected finding concerns shifts in UCT toward higher dosages, with improved outcomes compared with previous reports.
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Affiliation(s)
| | - Stephanie C DeLuca
- Fralin Biomedical Research Institute, Virginia Tech, Blacksburg, Virginia
| | - Richard D Stevenson
- Department of Pediatrics and Division of Neurodevelopmental Behavioral Pediatrics, UVA Children's, Charlottesville, Virginia
| | - Mark Conaway
- Department of Pediatrics and Division of Neurodevelopmental Behavioral Pediatrics, UVA Children's, Charlottesville, Virginia
| | - Amy R Darragh
- Division of Occupational Therapy, School of Health and Rehabilitation Sciences, The Ohio State University, Columbus, Ohio
| | - Warren Lo
- Division of Occupational Therapy, School of Health and Rehabilitation Sciences, The Ohio State University, Columbus, Ohio.,Departments of Neurology and Pediatrics, Nationwide Children's Hospital, Columbus, Ohio
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16
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Verbeeck J, Deltuvaite-Thomas V, Berckmoes B, Burzykowski T, Aerts M, Thas O, Buyse M, Molenberghs G. Unbiasedness and efficiency of non-parametric and UMVUE estimators of the probabilistic index and related statistics. Stat Methods Med Res 2020; 30:747-768. [PMID: 33256560 DOI: 10.1177/0962280220966629] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
In reliability theory, diagnostic accuracy, and clinical trials, the quantity P(X>Y)+1/2P(X=Y), also known as the Probabilistic Index (PI), is a common treatment effect measure when comparing two groups of observations. The quantity P(X>Y)-P(Y>X), a linear transformation of PI known as the net benefit, has also been advocated as an intuitively appealing treatment effect measure. Parametric estimation of PI has received a lot of attention in the past 40 years, with the formulation of the Uniformly Minimum-Variance Unbiased Estimator (UMVUE) for many distributions. However, the non-parametric Mann-Whitney estimator of the PI is also known to be UMVUE in some situations. To understand this seeming contradiction, in this paper a systematic comparison is performed between the non-parametric estimator for the PI and parametric UMVUE estimators in various settings. We show that the Mann-Whitney estimator is always an unbiased estimator of the PI with univariate, completely observed data, while the parametric UMVUE is not when the distribution is misspecified. Additionally, the Mann-Whitney estimator is the UMVUE when observations belong to an unrestricted family. When observations come from a more restrictive family of distributions, the loss in efficiency for the non-parametric estimator is limited in realistic clinical scenarios. In conclusion, the Mann-Whitney estimator is simple to use and is a reliable estimator for the PI and net benefit in realistic clinical scenarios.
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Affiliation(s)
- Johan Verbeeck
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium
| | | | - Ben Berckmoes
- Department of Mathematics, University of Antwerp, Antwerp, Belgium
| | - Tomasz Burzykowski
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium.,International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium
| | - Marc Aerts
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium
| | - Olivier Thas
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium.,National Institute for Applied Statistics Research Australia (NIASRA), University of Wollongong, New South Wales, Australia.,Department of Data Analysis and Mathematical Modelling, Ghent University, Ghent, Belgium
| | - Marc Buyse
- International Drug Development Institute (IDDI), Louvain-la-Neuve, Belgium.,International Drug Development Institute (IDDI), San Francisco, CA, USA
| | - Geert Molenberghs
- Data Science Institute (DSI), Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), Hasselt University, Hasselt, Belgium.,Interuniversity Institute for Biostatistics and statistical Bioinformatics (I-BioStat), KU Leuven, Leuven, Belgium
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17
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Yang S, Troendle J. Event-specific win ratios and testing with terminal and non-terminal events. Clin Trials 2020; 18:180-187. [PMID: 33231108 DOI: 10.1177/1740774520972408] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
BACKGROUND/AIMS In clinical trials, the primary outcome is often a composite endpoint defined as time to the first occurrence of either death or certain non-fatal events. Thus, a portion of available data would be omitted. In the win ratio approach, priorities are given to the clinically more important events, and more data are used. However, its power may be low if the treatment effect is predominantly on the non-terminal event. METHODS We propose event-specific win ratios obtained separately on the terminal and non-terminal events. They can then be used to form global tests such as a linear combination test, the maximum test, or a χ2 test. RESULTS In simulations, these tests often improve the power of the original win ratio test. Furthermore, when the terminal and non-terminal events experience differential treatment effects, the new tests are often more powerful than the log-rank test for the composite outcome. Whether the treatment effect is primarily on the terminal events or not, the new tests based on the event-specific win ratios can be useful when different types of events are present. The new tests can reject the null hypothesis of no difference in the event distributions in the two treatment arms with the terminal event showing detrimental effect and the non-terminal event showing beneficial effect. The maximum test and the χ2 test do not have test-estimation coherency, but the maximum test has the coherency that the global null is rejected if and only if the null for one of the event types is rejected. When applied to data from the trial Aldosterone Antagonist Therapy for Adults With Heart Failure and Preserved Systolic Function (TOPCAT), the new tests all reject the null hypothesis of no treatment effect while both the log-rank test used in TOPCAT and the original win ratio approach show non-significant p-values. CONCLUSION Whether the treatment effect is primarily on the terminal events or the non-terminal events, the maximum test based on the event-specific win ratios can be a useful alternative for testing treatment effect in clinical trials with time-to-event outcomes when different types of events are present.
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Affiliation(s)
- Song Yang
- Office of Biostatistics Research, National Heart, Lung, and Blood Institute, Bethesda, MD, USA
| | - James Troendle
- Office of Biostatistics Research, National Heart, Lung, and Blood Institute, Bethesda, MD, USA
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18
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Montepiedra G, Ramchandani R, Miyahara S, Kim S. A framework for considering the risk-benefit trade-off in designing noninferiority trials using composite outcome approaches. Stat Med 2020; 40:327-348. [PMID: 33105524 DOI: 10.1002/sim.8777] [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: 02/10/2020] [Revised: 09/22/2020] [Accepted: 10/03/2020] [Indexed: 11/06/2022]
Abstract
When a new treatment regimen is expected to have comparable or slightly worse efficacy to that of the control regimen but has benefits in other domains such as safety and tolerability, a noninferiority (NI) trial may be appropriate but is fraught with difficulty in justifying an acceptable NI margin that is based on both clinical and statistical input. To overcome this, we propose to utilize composite risk-benefit outcomes that combine elements from domains of importance (eg, efficacy, safety, and tolerability). The composite outcome itself may be analyzed using a superiority framework, or it can be used as a tool at the design stage of a NI trial for selecting an NI margin for efficacy that balances changes in risks and benefits. In the latter case, the choice of NI margin may be based on a novel quantity called the maximum allowable decrease in efficacy (MADE), defined as the marginal difference in efficacy between arms that would yield a null treatment effect for the composite outcome given an assumed distribution for the composite outcome. We observe that MADE: (1) is larger when the safety improvement for the experimental arm is larger, (2) depends on the association between the efficacy and safety outcomes, and (3) depends on the control arm efficacy rate. We use a numerical example for power comparisons between a superiority test for the composite outcome vs a noninferiority test for efficacy using the MADE as the NI margin, and apply the methods to a TB treatment trial.
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Affiliation(s)
- Grace Montepiedra
- Harvard T.H. Chan School of Public Health, Boston, Massachusetts, USA
| | | | - Sachiko Miyahara
- Harvard T.H. Chan School of Public Health, Boston, Massachusetts, USA
| | - Soyeon Kim
- Frontier Science Foundation, Boston, Massachusetts, USA
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19
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Aspirin versus low-molecular-weight heparin for venous thromboembolism prophylaxis in orthopaedic trauma patients: A patient-centered randomized controlled trial. PLoS One 2020; 15:e0235628. [PMID: 32745092 PMCID: PMC7398524 DOI: 10.1371/journal.pone.0235628] [Citation(s) in RCA: 35] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2020] [Accepted: 06/17/2020] [Indexed: 01/28/2023] Open
Abstract
Background Emerging evidence suggests aspirin may be an effective venous thromboembolism (VTE) prophylaxis for orthopaedic trauma patients, with fewer bleeding complications. We used a patient-centered weighted composite outcome to globally evaluate aspirin versus low-molecular-weight heparin (LMWH) for VTE prevention in fracture patients. Methods We conducted an open-label randomized clinical trial of adult patients admitted to an academic trauma center with an operative extremity fracture, or a pelvis or acetabular fracture. Patients were randomized to receive LMWH (enoxaparin 30-mg) twice daily (n = 164) or aspirin 81-mg twice daily (n = 165). The primary outcome was a composite endpoint of bleeding complications, deep surgical site infection, deep vein thrombosis, pulmonary embolism, and death within 90 days of injury. A Global Rank test and weighted time to event analysis were used to determine the probability of treatment superiority for LMWH, given a 9% patient preference margin for oral administration over skin injections. Results Overall, 18 different combinations of outcomes were experienced by patients in the study. Ninety-nine patients in the aspirin group (59.9%) and 98 patients in the LMWH group (59.4%) were event-free within 90 days of injury. Using a Global Rank test, the LMWH had a 50.4% (95% CI, 47.7–53.2%, p = 0.73) probability of treatment superiority over aspirin. In the time to event analysis, LMWH had a 60.5% probability of treatment superiority over aspirin with considerable uncertainty (95% CI, 24.3–88.0%, p = 0.59). Conclusion The findings of the Global Rank test suggest no evidence of superiority between LMWH or aspirin for VTE prevention in fracture patients. LMWH demonstrated a 60.5% VTE prevention benefit in the weighted time to event analysis. However, this difference did not reach statistical significance and was similar to the elicited patient preferences for aspirin.
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20
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Repeated 5-day cycles of low dose aldesleukin in amyotrophic lateral sclerosis (IMODALS): A phase 2a randomised, double-blind, placebo-controlled trial. EBioMedicine 2020; 59:102844. [PMID: 32651161 PMCID: PMC7502670 DOI: 10.1016/j.ebiom.2020.102844] [Citation(s) in RCA: 39] [Impact Index Per Article: 9.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/31/2020] [Revised: 05/29/2020] [Accepted: 06/03/2020] [Indexed: 12/17/2022] Open
Abstract
Background Low-dose interleukin-2 (ld-IL-2) enhances regulatory T-cell (Treg) function in auto-inflammatory conditions. Neuroinflammation being a pathogenic feature of amyotrophic lateral sclerosis (ALS), we evaluated the pharmacodynamics and safety of ld-IL-2 in ALS subjects. Methods We performed a single centre, parallel three-arm, randomised, double-blind, placebo-controlled study. Eligibility criteria included age < 75 years, disease duration < 5 years, riluzole treatment > 3 months, and a slow vital capacity ≥ 70% of normal. Patients were randomised (1:1:1) to aldesleukin 2 MIU, 1 MIU, or placebo once daily for 5 days every 4 weeks for 3 cycles. Primary outcome was change from baseline in Treg percentage of CD4+ T cells (%Tregs) following a first cycle. Secondary laboratory outcomes included: %Treg and Treg number following repeated cycles, and plasma CCL2 and neurofilament light chain protein (NFL) concentrations as surrogate markers of efficacy. Safety outcomes included motor-function (ALSFRS-R), slow vital capacity (SVC), and adverse event reports. This trial is registered with ClinicalTrials.gov, NCT02059759. Findings All randomised patients (12 per group), recruited from October 2015 to December 2015, were alive at the end of follow-up and included in the intent-to-treat (ITT) analysis. No drug-related serious adverse event was observed. Non-serious adverse events occurred more frequently with the 1 and 2 MIU IL-2 doses compared to placebo, including injection site reactions and flu-like symptoms. Primary outcome analysis showed a significant increase (p < 0·0001) in %Tregs in the 2 MIU and 1 MIU arms (mean [SD]: 2 MIU: +6·2% [2·2]; 1 MIU: +3·9% [1·2]) as compared to placebo (mean [SD]: -0·49% [1·3]). Effect sizes (ES) were large in treated groups: 2 MIU ES=3·7 (IC95%: 2·3–4·9) and 1 MIU ES=3·5 (IC95%: 2·1–4·6). Secondary outcomes showed a significant increase in %Tregs following repeated cycles (p < 0·0001) as compared to placebo, and a dose-dependent decrease in plasma CCL2 (p = 0·0049). There were no significant differences amongst the three groups on plasma NFL levels. Interpretation Ld-IL-2 is well tolerated and immunologically effective in subjects with ALS. These results warrant further investigation into their eventual therapeutic impact on slowing ALS disease progression. Funding : The French Health Ministry (PHRC-I-14-056), EU H2020 (grant #633413), and the Association pour la Recherche sur la SLA (ARSLA).
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21
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Verbeeck J, Ozenne B, Anderson WN. Evaluation of inferential methods for the net benefit and win ratio statistics. J Biopharm Stat 2020; 30:765-782. [DOI: 10.1080/10543406.2020.1730873] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
| | - Brice Ozenne
- Neurobiology Research Unit, Rigshospitalet and University of Copenhagen, Copenhagen, Denmark
- Department of Public Health, Section of Biostatistics, University of Copenhagen, Copenhagen, Denmark
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22
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Miyahara S, Ramchandani R, Kim S, Evans SR, Gupta A, Swindells S, Chaisson RE, Montepiedra G. Applying a Risk-benefit Analysis to Outcomes in Tuberculosis Clinical Trials. Clin Infect Dis 2020; 70:698-703. [PMID: 31414121 PMCID: PMC7319261 DOI: 10.1093/cid/ciz784] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2019] [Accepted: 08/09/2019] [Indexed: 12/27/2022] Open
Abstract
Although it is common to analyze efficacy and safety separately in clinical trials, this could yield a misleading study conclusion if an increase in efficacy is accompanied by a decrease in safety. A risk-benefit analysis is a systematic approach to examine safety and efficacy jointly. Both the "rank-based" and "partial-credit" methods described in this paper allow researchers to create a single, composite outcome incorporating efficacy, safety, and other factors. The first approach compares the distribution of rankings between arms. In the second approach, a score can be assigned to each outcome category, considering its severity and comparing the mean or median scores of arms. The methods were applied to the A5279/Brief Rifapentine-Isoniazid Efficacy for TB Prevention study, and design considerations for future clinical trials are discussed, including the challenge of arriving at a consensus on rankings/scorings. If well designed, a risk-benefit analysis may allow for a superiority comparison and, therefore, avoid setting a noninferiority margin. Clinical Trials Registration. NCT01404312 (A5279).
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Affiliation(s)
- Sachiko Miyahara
- Harvard T. H. Chan School of Public Health, Boston, Massachusetts
| | | | - Soyeon Kim
- Frontier Science Foundation, Boston, Massachusetts
| | | | - Amita Gupta
- Johns Hopkins University, Baltimore, Maryland
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23
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Verbeeck J, Spitzer E, Vries T, Es G, Anderson WN, Van Mieghem N, Leon M, Molenberghs G, Tijssen J. Generalized pairwise comparison methods to analyze (non)prioritized composite endpoints. Stat Med 2019; 38:5641-5656. [DOI: 10.1002/sim.8388] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2018] [Revised: 09/02/2019] [Accepted: 09/13/2019] [Indexed: 01/23/2023]
Affiliation(s)
- J. Verbeeck
- I‐BioStatUniversiteit Hasselt Hasselt Belgium
| | - E. Spitzer
- Clinical Trial Management & Core LaboratoriesCardialysis Rotterdam The Netherlands
- Cardiology ThoraxcenterErasmus Medical Center Rotterdam The Netherlands
| | - T. Vries
- Clinical Trial Management & Core LaboratoriesCardialysis Rotterdam The Netherlands
| | - G.A. Es
- ECRI Rotterdam The Netherlands
| | | | - N.M. Van Mieghem
- Cardiology ThoraxcenterErasmus Medical Center Rotterdam The Netherlands
| | - M.B. Leon
- Columbia University Medical Center New York New York
- Cardiovascular Research Foundation New York New York
| | - G. Molenberghs
- I‐BioStatUniversiteit Hasselt Hasselt Belgium
- I‐BioStatKU Leuven Leuven Belgium
| | - J. Tijssen
- Clinical Trial Management & Core LaboratoriesCardialysis Rotterdam The Netherlands
- ECRI Rotterdam The Netherlands
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24
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James DA, Ng J, Wei J, Vandemeulebroecke M. Multistate modeling and simulation of patient trajectories after allogeneic hematopoietic stem cell transplantation to inform drug development. Biom J 2019; 61:1303-1313. [PMID: 30295953 PMCID: PMC7074899 DOI: 10.1002/bimj.201700285] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2017] [Revised: 07/26/2018] [Accepted: 07/31/2018] [Indexed: 11/09/2022]
Abstract
We present a case study for developing clinical trial scenarios in a complex progressive disease with multiple events of interest. The idea is to first capture the course of the disease in a multistate Markov model, and then to simulate clinical trials from this model, including a variety of hypothesized drug effects. This case study focuses on the prevention of graft-versus-host disease (GvHD) after allogeneic hematopoietic stem cell transplantation (HSCT). The patient trajectory after HSCT is characterized by a complex interplay of various events of interest, and there is no established best method of measuring and/or analyzing treatment benefits. We characterized patient trajectories by means of multistate models that we fitted to a subset of the Center for International Blood and Marrow Transplant Research (CIBMTR) database. Events of interest included acute GvHD of grade III or IV, severe chronic GvHD, relapse of the underlying disease, and death. The transition probability matrix was estimated using the Aalen-Johansen estimator, and patient characteristics were identified that were associated with different transition rates. In a second step, clinical trial scenarios were simulated from the model assuming various drug effects on the background transition rates, and the operating characteristics of different endpoints and analysis strategies were compared in these scenarios. This helped devise a drug development strategy in GvHD prevention after allogeneic HSCT. More generally, multistate models provide a rich framework for exploring complex progressive diseases, and the availability of a corresponding simulation machinery provides great flexibility for clinical trial planning.
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Affiliation(s)
- David A. James
- Biostatistical Sciences and Pharmacometrics, Novartis Pharmaceuticals, East Hanover, NJ 07936, USA
| | - Jennifer Ng
- Biostatistical Sciences and Pharmacometrics, Novartis Pharmaceuticals, East Hanover, NJ 07936, USA
| | - Jiawei Wei
- Biostatistical Sciences and Pharmacometrics, China Novartis Institutes for Biomedical Research Co., Shanghai, China
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Spitzer E, Hahn RT, Pibarot P, de Vries T, Bax JJ, Leon MB, Van Mieghem NM. Aortic Stenosis and Heart Failure: Disease Ascertainment and Statistical Considerations for Clinical Trials. Card Fail Rev 2019; 5:99-105. [PMID: 31179020 PMCID: PMC6545996 DOI: 10.15420/cfr.2018.41.2] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/27/2018] [Accepted: 03/17/2019] [Indexed: 12/20/2022] Open
Abstract
Aortic stenosis is a progressive disease that develops over decades, and once symptomatic and untreated, is associated with poor survival. Transcatheter aortic valve replacement has evolved significantly in the past decade and has expanded its indication from surgically inoperable and high-risk patients to patients with intermediate risk. Assessment of heart failure-related outcomes include the use of functional assessments, disease-specific quality of life surveys and standardised ascertainment of events, such as hospitalisations. Multiple statistical approaches are currently being tested to account for recurrent events such as hospitalisations for heart failure or to combine binary and continuous outcomes, both intended to assess the holistic burden of the disease, as opposed to the traditional analysis of time to first event.
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Affiliation(s)
- Ernest Spitzer
- Thoraxcenter, Erasmus University Medical Center Rotterdam, the Netherlands.,Cardialysis, Clinical Trial Management and Core Laboratories Rotterdam, the Netherlands
| | - Rebecca T Hahn
- New York Presbyterian Hospital/Columbia University Medical Center New York, NY, US.,Cardiovascular Research Foundation New York, NY, US
| | - Philippe Pibarot
- Quebec Heart and Lung Institute, Laval University Quebec, Canada
| | - Ton de Vries
- Cardialysis, Clinical Trial Management and Core Laboratories Rotterdam, the Netherlands
| | - Jeroen J Bax
- Department of Cardiology, Leiden University Medical Center Leiden, the Netherlands
| | - Martin B Leon
- New York Presbyterian Hospital/Columbia University Medical Center New York, NY, US.,Cardiovascular Research Foundation New York, NY, US
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26
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Dong G, Hoaglin DC, Qiu J, Matsouaka RA, Chang YW, Wang J, Vandemeulebroecke M. The Win Ratio: On Interpretation and Handling of Ties. Stat Biopharm Res 2019. [DOI: 10.1080/19466315.2019.1575279] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
| | - David C. Hoaglin
- Department of Population and Quantitative Health Sciences, University of Massachusetts Medical School, Worcester, MA
| | - Junshan Qiu
- Division of Biometrics I, Office of Biostatistics, Center for Drug Evaluation and Research, US Food and Drug Administration, Silver Spring, MD
| | - Roland A. Matsouaka
- Department of Biostatistics and Bioinformatics & Duke Clinical Research Institute (DCRI), Duke University School of Medicine, Durham, NC
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27
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Janvier A, Bourque CJ, Dahan S, Robson K, Barrington KJ. Integrating Parents in Neonatal and Pediatric Research. Neonatology 2019; 115:283-291. [PMID: 30799397 DOI: 10.1159/000492502] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/11/2018] [Accepted: 07/26/2018] [Indexed: 11/19/2022]
Abstract
BACKGROUND Parents and their infants are the beneficiaries of neonatal and pediatric research, but in the past they have been excluded from most stages of research projects. As a result, many projects may fail to produce the most worthwhile information for parents and families. Lately, veteran resource parents and patients have been increasingly integrated in research initiatives. METHODS Benchmarking of neonatal and pediatric research initiatives where resource parents and/or ex neonatal patients have helped to optimize pediatric research. We review ways in which resource parents/patients can be involved in research, with examples and practical ideas of how to proceed. RESULTS Resource parents/patients can be collaborators in research and be integrated in many steps: prioritizing research projects, designing trials, determining the outcomes of interest, ethics review, developing and improving consent procedures, collection and interpretation of data, participation in data safety monitoring committees, publication of results, and presentation to peer groups. Some of the strategies for integration of stakeholders in clinical research are more complex, may involve risk and require more training than others. CONCLUSION We suggest that groups wanting to involve parents in their research endeavors start with simpler tasks that entail less risk and develop teams of resource parents who have differing interests and abilities. Quality control of programs is essential, such as frequently giving and obtaining feedback from resource parents/patients and researchers. In the future, integration of resource parents/patients into every step of clinical research will be essential to ensure that parent and family important outcomes are examined.
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Affiliation(s)
- Annie Janvier
- Department of Pediatrics, Université de Montréal, Montréal, Québec, Canada, .,Division of Neonatology, Hôpital Sainte-Justine, Montréal, Québec, Canada, .,CHU Sainte-Justine Research Center, Montréal, Québec, Canada, .,Bureau de l'Éthique Clinique, Université de Montréal, Montréal, Québec, Canada, .,Unité d'Éthique Clinique, Hôpital Sainte-Justine, Montréal, Québec, Canada, .,Unité de Soins Palliatifs, Hôpital Sainte-Justine, Montréal, Québec, Canada, .,Unité de Recherche en Éthique Clinique et Partenariat Famille (UREPAF), Montréal, Québec, Canada,
| | - Claude Julie Bourque
- CHU Sainte-Justine Research Center, Montréal, Québec, Canada.,Unité d'Éthique Clinique, Hôpital Sainte-Justine, Montréal, Québec, Canada.,Unité de Recherche en Éthique Clinique et Partenariat Famille (UREPAF), Montréal, Québec, Canada
| | - Sonia Dahan
- Division of Neonatology, Hôpital Sainte-Justine, Montréal, Québec, Canada.,Unité d'Éthique Clinique, Hôpital Sainte-Justine, Montréal, Québec, Canada
| | - Kate Robson
- Sunnybrook Hospital, Toronto, Ontario, Canada
| | - Keith James Barrington
- Department of Pediatrics, Université de Montréal, Montréal, Québec, Canada.,Division of Neonatology, Hôpital Sainte-Justine, Montréal, Québec, Canada.,CHU Sainte-Justine Research Center, Montréal, Québec, Canada
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28
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Ristl R, Urach S, Rosenkranz G, Posch M. Methods for the analysis of multiple endpoints in small populations: A review. J Biopharm Stat 2018; 29:1-29. [PMID: 29985752 DOI: 10.1080/10543406.2018.1489402] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Abstract
While current guidelines generally recommend single endpoints for primary analyses of confirmatory clinical trials, it is recognized that certain settings require inference on multiple endpoints for comprehensive conclusions on treatment effects. Furthermore, combining treatment effect estimates from several outcome measures can increase the statistical power of tests. Such an efficient use of resources is of special relevance for trials in small populations. This paper reviews approaches based on a combination of test statistics or measurements across endpoints as well as multiple testing procedures that allow for confirmatory conclusions on individual endpoints. We especially focus on feasibility in trials with small sample sizes and do not solely rely on asymptotic considerations. A systematic literature search in the Scopus database, supplemented by a manual search, was performed to identify research papers on analysis methods for multiple endpoints with relevance to small populations. The identified methods were grouped into approaches that combine endpoints into a single measure to increase the power of statistical tests and methods to investigate differential treatment effects in several individual endpoints by multiple testing.
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Affiliation(s)
- Robin Ristl
- a Center for Medical Statistics, Informatics, and Intelligent Systems , Medical University of Vienna , Vienna , Austria
| | - Susanne Urach
- a Center for Medical Statistics, Informatics, and Intelligent Systems , Medical University of Vienna , Vienna , Austria
| | - Gerd Rosenkranz
- a Center for Medical Statistics, Informatics, and Intelligent Systems , Medical University of Vienna , Vienna , Austria
| | - Martin Posch
- a Center for Medical Statistics, Informatics, and Intelligent Systems , Medical University of Vienna , Vienna , Austria
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29
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Optimal Weighted Wilcoxon–Mann–Whitney Test for Prioritized Outcomes. NEW FRONTIERS OF BIOSTATISTICS AND BIOINFORMATICS 2018. [DOI: 10.1007/978-3-319-99389-8_1] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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30
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Affiliation(s)
| | - Junshan Qiu
- Division of Biometrics I, Office of Biostatistics, Center for Drug Evaluation and Research, US Food and Drug Administration, Silver Spring, MD, USA
| | - Duolao Wang
- Liverpool School of Tropical Medicine, Liverpool, UK
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31
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Matsouaka RA, Singhal AB, Betensky RA. An optimal Wilcoxon-Mann-Whitney test of mortality and a continuous outcome. Stat Methods Med Res 2016; 27:2384-2400. [PMID: 27920364 DOI: 10.1177/0962280216680524] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
We consider a two-group randomized clinical trial, where mortality affects the assessment of a follow-up continuous outcome. Using the worst-rank composite endpoint, we develop a weighted Wilcoxon-Mann-Whitney test statistic to analyze the data. We determine the optimal weights for the Wilcoxon-Mann-Whitney test statistic that maximize its power. We derive a formula for its power and demonstrate its accuracy in simulations. Finally, we apply the method to data from an acute ischemic stroke clinical trial of normobaric oxygen therapy.
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Affiliation(s)
- Roland A Matsouaka
- 1 Department of Biostatistics and Bioinformatics, Duke University, Durham, NC, USA.,2 Duke Clinical Research Institute, Duke University, Durham, NC, USA
| | - Aneesh B Singhal
- 3 Department of Neurology, Massachusetts General Hospital, Boston, MA, USA
| | - Rebecca A Betensky
- 4 Department of Biostatistics, Harvard T.H. Chan School of Public Health.,5 Harvard NeuroDiscovery Center, Harvard Medical School
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Donohue MC, Sun CK, Raman R, Insel PS, Aisen PS. Cross-validation of optimized composites for preclinical Alzheimer's disease. ALZHEIMERS & DEMENTIA-TRANSLATIONAL RESEARCH & CLINICAL INTERVENTIONS 2016; 3:123-129. [PMID: 28758145 PMCID: PMC5527287 DOI: 10.1016/j.trci.2016.12.001] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Introduction We discuss optimization and validation of composite end points for presymptomatic Alzheimer's disease clinical trials. Optimized composites offer hope of substantial gains in statistical power or reduction in sample size. But there is tradeoff between optimization and face validity such that optimization should only be considered if there is a convincing rationale. As with statistically derived regions of interest in neuroimaging, validation on independent data sets is essential. Methods Using four data sets, we consider the optimized weighting of four components of a cognitive composite which includes measures of (1) global cognition, (2) semantic memory, (3) episodic memory, and (4) executive function. Weights are optimized to either discriminate amyloid positivity or maximize power to detect a treatment effect in an amyloid-positive population. We apply repeated 5 × 3-fold cross-validation to quantify the out-of-sample performance of optimized composite end points. Results We found the optimized weights varied greatly across the folds of the cross-validation with either optimization method. Both optimization methods tend to down-weight the measures of global cognition and executive function. However, when these optimized composites were applied to the validation sets, they did not provide consistent improvements in power. In fact, overall, the optimized composites performed worse than those without optimization. Discussion We find that component weight optimization does not yield valid improvements in sensitivity of this composite to detect treatment effects.
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Affiliation(s)
- Michael C Donohue
- Alzheimer's Therapeutic Research Institute, University of Southern California, San Diego, CA, USA
| | - Chung-Kai Sun
- Alzheimer's Therapeutic Research Institute, University of Southern California, San Diego, CA, USA
| | - Rema Raman
- Alzheimer's Therapeutic Research Institute, University of Southern California, San Diego, CA, USA
| | | | - Paul S Aisen
- Alzheimer's Therapeutic Research Institute, University of Southern California, San Diego, CA, USA
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