Ram C. Tiwari’s research while affiliated with Bristol-Myers Squibb and other places

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Publications (182)


A propensity score-integrated approach for leveraging external data in a randomized controlled trial with time-to-event endpoints
  • Article

March 2024

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33 Reads

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1 Citation

Pharmaceutical Statistics

Wei-Chen Chen

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Lilly Q Yue

In a randomized controlled trial with time‐to‐event endpoint, some commonly used statistical tests to test for various aspects of survival differences, such as survival probability at a fixed time point, survival function up to a specific time point, and restricted mean survival time, may not be directly applicable when external data are leveraged to augment an arm (or both arms) of an RCT. In this paper, we propose a propensity score‐integrated approach to extend such tests when external data are leveraged. Simulation studies are conducted to evaluate the operating characteristics of three propensity score‐integrated statistical tests, and an illustrative example is given to demonstrate how these proposed procedures can be implemented.


Propensity score‐incorporated adaptive design approaches when incorporating real‐world data

November 2023

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33 Reads

Pharmaceutical Statistics

The propensity score‐integrated composite likelihood (PSCL) method is one method that can be utilized to design and analyze an application when real‐world data (RWD) are leveraged to augment a prospectively designed clinical study. In the PSCL, strata are formed based on propensity scores (PS) such that similar subjects in terms of the baseline covariates from both the current study and RWD sources are placed in the same stratum, and then composite likelihood method is applied to down‐weight the information from the RWD. While PSCL was originally proposed for a fixed design, it can be extended to be applied under an adaptive design framework with the purpose to either potentially claim an early success or to re‐estimate the sample size. In this paper, a general strategy is proposed due to the feature of PSCL. For the possibility of claiming early success, Fisher's combination test is utilized. When the purpose is to re‐estimate the sample size, the proposed procedure is based on the test proposed by Cui, Hung, and Wang. The implementation of these two procedures is demonstrated via an example.


Principled leveraging of external data in the evaluation of diagnostic devices via the propensity score‐integrated composite likelihood approach

March 2023

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40 Reads

Pharmaceutical Statistics

In the area of diagnostics, it is common practice to leverage external data to augment a traditional study of diagnostic accuracy consisting of prospectively enrolled subjects to potentially reduce the time and/or cost needed for the performance evaluation of an investigational diagnostic device. However, the statistical methods currently being used for such leveraging may not clearly separate study design and outcome data analysis, and they may not adequately address possible bias due to differences in clinically relevant characteristics between the subjects constituting the traditional study and those constituting the external data. This paper is intended to draw attention in the field of diagnostics to the recently developed propensity score‐integrated composite likelihood approach, which originally focused on therapeutic medical products. This approach applies the outcome‐free principle to separate study design and outcome data analysis and can mitigate bias due to imbalance in covariates, thereby increasing the interpretability of study results. While this approach was conceived as a statistical tool for the design and analysis of clinical studies for therapeutic medical products, here, we will show how it can also be applied to the evaluation of sensitivity and specificity of an investigational diagnostic device leveraging external data. We consider two common scenarios for the design of a traditional diagnostic device study consisting of prospectively enrolled subjects, which is to be augmented by external data. The reader will be taken through the process of implementing this approach step‐by‐step following the outcome‐free principle that preserves study integrity.


Propensity score-integrated approach to survival analysis: leveraging external evidence in single-arm studies

June 2022

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56 Reads

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9 Citations

Journal of Biopharmaceutical Statistics

External data, referred to as data external to the traditional clinical study being planned, include but are not limited to real-world data (RWD) and data collected from clinical studies being conducted in the past or in other countries. The external data are sometimes leveraged to augment a single-arm, prospectively designed study when appropriate. In such an application, recently developed propensity score-integrated approaches including PSPP and PSCL can be used for study design and data analysis when the clinical outcomes are binary or continuous. In this paper, the propensity score-integrated Kaplan-Meier (PSKM) method is proposed for a similar situation but the outcome of interest is time-to-event. The propensity score methodology is used to select external subjects that are similar to those in the current study in terms of baseline covariates and to stratify the selected subjects from both data sources into more homogeneous strata. The stratum-specific PSKM estimators are obtained based on all subjects in the stratum with the external data being down-weighted, and then these estimators are combined to obtain an overall PSKM estimator. A simulation study is conducted to assess the performance of the PSKM method, and an illustrative example is presented to demonstrate how to implement the proposed method.


Estimands in observational studies: Some considerations beyond ICH E9 ( R1 )

February 2022

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122 Reads

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17 Citations

Pharmaceutical Statistics

The document ICH E9 (R1) has brought much attention to the concept of estimand in the clinical trials community. ICH stands for International Conference for Harmonization. In this article, we draw attention to one facet of estimand that is not discussed in that document but is crucial in the context of observational studies, namely weighting for covariate balance. How weighting schemes are connected to estimand, or more specifically to one of its five attributes identified in ICH E9 (R1), the attribute of population, is illustrated using the Rubin Causal Model. Three estimands are examined from both theoretical and practical perspectives. Factors that may be considered in choosing among these estimands are discussed.


Zero-Inflated Binomial Model for Meta-Analysis and Safety-Signal Detection

January 2022

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36 Reads

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2 Citations

Therapeutic Innovation and Regulatory Science

Background: Meta-analysis of related trials can provide an overall measure of safety-signal accounting for variability across studies. In addition to an overall measure, researchers may often be interested in study-specific measures to assess safety of the product. Likelihood ratio tests (LRT) methods serve this purpose by identifying studies that appear to show a safety concern. In this paper, we present a Bayesian approach. Despite having good statistical properties, the LRT methods may not be suitable for the meta-analysis of randomized controlled trials (RCTs) when there are several studies with zero events in at least one arm. Methods: In this article, we describe a Bayesian framework using a Zero-inflated binomial model with spike-and-slab parameterization for the treatment effects. In addition to providing an overall meta-analytic estimate, this method provides posterior probability of a safety-signal for each study. Results: We illustrate the approach using two published data sets comprising several randomized controlled trials (RCTs) each and compare the model performance for different choices of priors for treatment effect. Discussion: The proposed Bayesian methodological framework is useful to identify potential signal for single adverse event and to determine overall meta-analytic estimate of the magnitude of the signal. Practitioners may consider this approach as an alternative to the frequentist's LRT approach discussed in Jung et al. (J Biopharm Stat 31:47-54, 2020) when there are zero events in either the treatment arm or the control arm. In the future, this approach can be further extended to accommodate multiple adverse events.


A novel approach to augment single-arm clinical studies with real-world data

December 2021

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89 Reads

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10 Citations

Journal of Biopharmaceutical Statistics

In this paper, we develop a methodology for leveraging real-world data into single-arm clinical trial studies. In recent years, the idea of augmenting randomized clinical trials data with real-world data has emerged as a particularly attractive technique for health organizations and drug developers to accelerate the drug development process. Major regulatory authorities such as the Food and Drug Administration and European Medicines Agency have recognized the potential of utilizing real-world data and are advancing toward making regulatory decisions based on real-world evidence. Several statistical methods have been developed in recent years for borrowing data from real-world sources such as electronic health records, product and disease registries, as well as claims and billing data. We propose a novel approach to augment single-arm clinical trials with the real-world data derived from single or multiple data sources. Furthermore, we illustrate the proposed method in the presence of missing data and conduct simulation studies to evaluate its performance in diverse settings.


A more powerful test for three-arm non-inferiority via risk difference: Frequentist and Bayesian approaches

November 2021

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14 Reads

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3 Citations

Necessity for finding improved intervention in many legacy therapeutic areas are of high priority. This has the potential to decrease the expense of medical care and poor outcomes for many patients. Typically, clinical efficacy is the primary evaluating criteria to measure any beneficial effect of a treatment. Albeit, there could be situations when several other factors (e.g. side-effects, cost-burden, less debilitating, less intensive, etc.) which can permit some slightly less efficacious treatment options favorable to a subgroup of patients. This often leads to non-inferiority (NI) testing. NI trials may or may not include a placebo arm due to ethical reasons. However, when included, the resulting three-arm trial is more prudent since it requires less stringent assumptions compared to a two-arm placebo-free trial. In this article, we consider both Frequentist and Bayesian procedures for testing NI in the three-arm trial with binary outcomes when the functional of interest is risk difference. An improved Frequentist approach is proposed first, which is then followed by a Bayesian counterpart. Bayesian methods have a natural advantage in many active-control trials, including NI trial, as it can seamlessly integrate substantial prior information. In addition, we discuss sample size calculation and draw an interesting connection between the two paradigms.


Propensity score-integrated power prior approach for augmenting the control arm of a randomized controlled trial by incorporating multiple external data sources

November 2021

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59 Reads

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14 Citations

Journal of Biopharmaceutical Statistics

In this paper, a propensity score-integrated power prior approach is developed to augment the control arm of a two-arm randomized controlled trial (RCT) with subjects from multiple external data sources such as real-world data (RWD) and historical clinical studies containing subject-level outcomes and covariates. The propensity scores for the subjects in the external data sources versus the subjects in the RCT are first estimated, and then subjects are placed in different strata based on their estimated propensity scores. Within each propensity score stratum, a power prior is formulated with the information contributed by the external data sources, and Bayesian inference on the treatment effect is obtained. The proposed approach is implemented under the two-stage study design framework utilizing the outcome-free principle to ensure the integrity of a study. An illustrative example is provided to demonstrate the implementation of the proposed approach.


Ensuring exchangeability in data‐based priors for a Bayesian analysis of clinical trials

September 2021

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46 Reads

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10 Citations

Pharmaceutical Statistics

In many orphan diseases and pediatric indications, the randomized controlled trials may be infeasible because of their size, duration, and cost. Leveraging information on the control through a prior can potentially reduce sample size. However, unless an objective prior is used to impose complete ignorance for the parameter being estimated, it results in biased estimates and inflated type‐I error. Hence, it is essential to assess both the confirmatory and supplementary knowledge available during the construction of the prior to avoid “cherry‐picking” advantageous information. For this purpose, propensity score methods are employed to minimize selection bias by weighting supplemental control subjects according to their similarity in terms of pretreatment characteristics to the subjects in the current trial. The latter can be operationalized through a proposed measure of overlap in propensity‐score distributions. In this paper, we consider single experimental arm in the current trial and the control arm is completely borrowed from the supplemental data. The simulation experiments show that the proposed method reduces prior and data conflict and improves the precision of the of the average treatment effect.


Citations (69)


... For instance, Liu et al. (2014) and Huang et al. (2016) proposed accommodating outcome heterogeneity by applying a constant factor to the cumulative hazard function. Additionally, Chen et al. (2022) and Wang et al. (2020) developed a propensity score-integrated Bayesian framework for the Kaplan-Meier (KM) estimator, which first selects external controls with similar risk factors and then downweights their impacts before incorporating them via the weighted KM estimator. ...

Reference:

Doubly protected estimation for survival outcomes utilizing external controls for randomized clinical trials
Propensity score-integrated approach to survival analysis: leveraging external evidence in single-arm studies
  • Citing Article
  • June 2022

Journal of Biopharmaceutical Statistics

... The chosen estimand was the average treatment effect on the treated (ATT), representing the average effect of treatment for those who receive it. This approach addressed the archetypical question: should medical providers withhold treatment from those currently receiving it [14]? ...

Estimands in observational studies: Some considerations beyond ICH E9 ( R1 )
  • Citing Article
  • February 2022

Pharmaceutical Statistics

... The difference in outcomes may be partly due to the difference in baseline covariates between the two data sources. Hence, approaches such as propensity score [14] based weighting, known as inverse probability weighting (IPW), matching or stratification can be used to reduce or eliminate the difference [15,16,9]. An alternative approach uses a linear outcome model that assumes exchangeability after covariate adjustment [17]. ...

A novel approach to augment single-arm clinical studies with real-world data
  • Citing Article
  • December 2021

Journal of Biopharmaceutical Statistics

... Recently, the negative binomial [16] and Poisson distributed endpoints [17] for the gold-standard design have also been proposed. The NI margin and the optimization of randomization allocations have also been fully developed and discussed [17][18][19][20]. ...

A more powerful test for three-arm non-inferiority via risk difference: Frequentist and Bayesian approaches
  • Citing Article
  • November 2021

... Wang et al. [19] proposed the propensity score-integrated power prior, which combines propensity score stratification and Bayesian methodology by applying an extension of the power prior within each stratum to estimate a stratum's treatment effect and then combining to estimate a current trial's parameter of interest. For an RCT, Lu et al. [12] extended the single-arm propensity-score integrated power prior approach to borrow from multiple data sources, and Liu et al. [11] present a two-arm simulation study to borrow from numerous historical trials. Further, Wang et al. [20] present a simulation study using the power prior, and the commensurate prior in combination with additional propensity score approaches under a binary endpoint setting. ...

Propensity score-integrated power prior approach for augmenting the control arm of a randomized controlled trial by incorporating multiple external data sources
  • Citing Article
  • November 2021

Journal of Biopharmaceutical Statistics

... To mitigate the risk, the control arm in an RCT, may provide an internal reference for evaluating the difference in the outcomes between the internal and external control data sources. To address the population difference, the power prior approach [3,4,5,6,7,8,9,10] can be used to discount historical data to mitigate the impact of bias. The amount of borrowing, parameterized by the power prior parameter, can be fixed or determined based on the similarity of the outcomes or key prognostic factors of the two data sources, known as Bayesian dynamic borrowing. ...

Ensuring exchangeability in data‐based priors for a Bayesian analysis of clinical trials
  • Citing Article
  • September 2021

Pharmaceutical Statistics

... All of these have led to a third wave of methodological developments and novel applications in using power priors. Recently published vast literature on this topic includes the theoretical and computational development of the normalized power prior or the partial-borrowing normalized power prior (Banbeta et al., 2019;Carvalho and Ibrahim, 2021;Ye et al., 2022;Han et al., 2023a,b;Pawel et al., 2023a); adaptive or dynamic borrowing power priors (Gravestock and Held, 2017;Pan et al., 2017;Liu, 2018;Nikolakopoulos et al., 2018;Gravestock and Held, 2019;Ollier et al., 2020;Thompson et al., 2021;Sawamoto et al., 2022;Han et al., 2023a;Hickey et al., 2023;Baumann et al., 2024); propensity score based power priors (US Government Publishing Office, 2016;Lin et al., 2019;Wang et al., 2019;Li et al., 2020;Bennett et al., 2021;Baron et al., 2022;Li et al., 2022a;Lu et al., 2022;Wang et al., 2022;Baron et al., 2024); and Bayesian design of clinical trials and sample size re-estimation using power priors (Hees and Kieser, 2017;Brakenhoff et al., 2019;Feißt et al., 2020;Kopp-Schneider et al., 2020;Nagase et al., 2020;Wiesenfarth and Calderazzo, 2020;Duan et al., 2021;Huang et al., 2022;Kopp-Schneider et al., 2023). Power priors and their extensions have also recently used or applied in behavioral and cognitive neuroscience (Egbon et al., 2023;Mezzetti et al., 2023); causal inference (Li et al., 2022b); clinical trials (Warasi et al., 2016;van Rosmalen et al., 2018;Li and Yuan, 2020;Pateras et al., 2021;Chao et al., 2022;Yu et al., 2022); diagnostic accuracy studies and tests (Bai et al., 2021;Wilson et al., 2022); energy engineering (Lorencin and Pantos, 2017); judicial studies (Pandya et al., 2023); and meta-analysis and replication studies (Zhang et al., 2019;Pawel et al., 2023b). ...

Dynamic borrowing from a single prior data source using the conditional power prior
  • Citing Article
  • Full-text available
  • July 2021

Journal of Biopharmaceutical Statistics

... Recently published vast literature on this topic includes the theoretical and computational development of the normalized power prior or the partial-borrowing normalized power prior (Banbeta et al., 2019;Carvalho and Ibrahim, 2021;Ye et al., 2022;Han et al., 2023a,b;Pawel et al., 2023a); adaptive or dynamic borrowing power priors (Gravestock and Held, 2017;Pan et al., 2017;Liu, 2018;Nikolakopoulos et al., 2018;Gravestock and Held, 2019;Ollier et al., 2020;Thompson et al., 2021;Sawamoto et al., 2022;Han et al., 2023a;Hickey et al., 2023;Baumann et al., 2024); propensity score based power priors (US Government Publishing Office, 2016;Lin et al., 2019;Wang et al., 2019;Li et al., 2020;Bennett et al., 2021;Baron et al., 2022;Li et al., 2022a;Lu et al., 2022;Wang et al., 2022;Baron et al., 2024); and Bayesian design of clinical trials and sample size re-estimation using power priors (Hees and Kieser, 2017;Brakenhoff et al., 2019;Feißt et al., 2020;Kopp-Schneider et al., 2020;Nagase et al., 2020;Wiesenfarth and Calderazzo, 2020;Duan et al., 2021;Huang et al., 2022;Kopp-Schneider et al., 2023). Power priors and their extensions have also recently used or applied in behavioral and cognitive neuroscience (Egbon et al., 2023;Mezzetti et al., 2023); causal inference (Li et al., 2022b); clinical trials (Warasi et al., 2016;van Rosmalen et al., 2018;Li and Yuan, 2020;Pateras et al., 2021;Chao et al., 2022;Yu et al., 2022); diagnostic accuracy studies and tests (Bai et al., 2021;Wilson et al., 2022); energy engineering (Lorencin and Pantos, 2017); judicial studies (Pandya et al., 2023); and meta-analysis and replication studies (Zhang et al., 2019;Pawel et al., 2023b). Other development and applications of power priors are further explored and discussed in Sections 3 and 7. ...

Augmenting Both Arms of a Randomized Controlled Trial Using External Data: An Application of the Propensity Score-Integrated Approaches
  • Citing Article
  • June 2021

Statistics in Biosciences

... Recently published vast literature on this topic includes the theoretical and computational development of the normalized power prior or the partial-borrowing normalized power prior (Banbeta et al., 2019;Carvalho and Ibrahim, 2021;Ye et al., 2022;Han et al., 2023a,b;Pawel et al., 2023a); adaptive or dynamic borrowing power priors (Gravestock and Held, 2017;Pan et al., 2017;Liu, 2018;Nikolakopoulos et al., 2018;Gravestock and Held, 2019;Ollier et al., 2020;Thompson et al., 2021;Sawamoto et al., 2022;Han et al., 2023a;Hickey et al., 2023;Baumann et al., 2024); propensity score based power priors (US Government Publishing Office, 2016;Lin et al., 2019;Wang et al., 2019;Li et al., 2020;Bennett et al., 2021;Baron et al., 2022;Li et al., 2022a;Lu et al., 2022;Wang et al., 2022;Baron et al., 2024); and Bayesian design of clinical trials and sample size re-estimation using power priors (Hees and Kieser, 2017;Brakenhoff et al., 2019;Feißt et al., 2020;Kopp-Schneider et al., 2020;Nagase et al., 2020;Wiesenfarth and Calderazzo, 2020;Duan et al., 2021;Huang et al., 2022;Kopp-Schneider et al., 2023). Power priors and their extensions have also recently used or applied in behavioral and cognitive neuroscience (Egbon et al., 2023;Mezzetti et al., 2023); causal inference (Li et al., 2022b); clinical trials (Warasi et al., 2016;van Rosmalen et al., 2018;Li and Yuan, 2020;Pateras et al., 2021;Chao et al., 2022;Yu et al., 2022); diagnostic accuracy studies and tests (Bai et al., 2021;Wilson et al., 2022); energy engineering (Lorencin and Pantos, 2017); judicial studies (Pandya et al., 2023); and meta-analysis and replication studies (Zhang et al., 2019;Pawel et al., 2023b). Other development and applications of power priors are further explored and discussed in Sections 3 and 7. ...

Bayesian approaches to benefit-risk assessment for diagnostic tests
  • Citing Article
  • June 2021

Journal of Biopharmaceutical Statistics

... We aim at objectifying this statement by resorting to Signal detection theory (SDT). SDT migrated from radar/communication fields to medicine (Tiwari et al., 2021) and psychology (Kingdom & Prins, 2016), is a theory that investigates this issue in a mathematical way. Consider a situation where a decision-making person is faced with a single stimulus (signal) that is either faint (i.e., the strength of the signal is low), or confusing (i.e., the stimulus contradicts prior information). ...

Signal Detection for Medical Scientists: Likelihood Ratio Test-based Methodology
  • Citing Book
  • May 2021