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Updated: Jan 13, 2026

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Jointly modeling multiple endpoints for efficient treatment effect estimation in randomized controlled trials.

Jack M Wolf1,2, Joseph S Koopmeiners2, David M Vock2

  • 1Department of Biostatistics, Epidemiology, and Informatics, University of Pennsylvania, Philadelphia, PA 19104, United States.

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|January 8, 2026
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Summary
This summary is machine-generated.

This study introduces a new method to improve the accuracy of clinical trial results by using both primary and secondary endpoints. This approach enhances confidence in findings, especially for tobacco regulatory science research.

Keywords:
efficiencyjoint modelrandomized controlled trialsecondary endpointsstructural equation model

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Area of Science:

  • Biostatistics
  • Clinical Trials
  • Tobacco Regulatory Science

Background:

  • Randomized controlled trials (RCTs) are crucial for intervention efficacy evaluation.
  • A common challenge in RCTs is the trade-off between scientifically relevant primary endpoints and more powerful, less relevant ones.
  • Subgroup analyses are often underpowered, limiting their utility.

Purpose of the Study:

  • To develop an improved estimator for treatment effects on primary endpoints by incorporating information from secondary endpoints.
  • To enhance statistical power and robustness in clinical trial analyses.
  • To provide a method that leverages multiple endpoints for increased confidence in trial results.

Main Methods:

  • Developed a novel estimator for treatment effects based on a joint model for primary and secondary efficacy endpoints.
  • Employed model averaging to ensure robustness against potential model misspecification.
  • Applied the method to estimate the effect of very low nicotine content cigarettes on smoking abstinence.

Main Results:

  • The proposed estimator demonstrated increased efficiency compared to standard methods when the joint model was correctly specified.
  • The approach proved robust to model misspecification through model averaging.
  • In a specific application, the method reduced the standard error by 27% when assessing smoking abstinence.

Conclusions:

  • The developed joint modeling approach effectively leverages secondary endpoints to improve the estimation of primary endpoint treatment effects.
  • This method offers a statistically robust and more powerful alternative for analyzing clinical trial data, particularly in areas like tobacco regulatory science.
  • The findings suggest a valuable tool for enhancing the interpretation and reliability of evidence from clinical trials with multiple efficacy measures.