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Time-Varying Treatment Effect Models in Stepped-Wedge Cluster-Randomized Trials With Multiple Interventions.
Zhe Chen1, Wei Wang2, Yingying Lu2
1Center for Clinical Trials Innovation, Department of Biostatistics, Epidemiology, Informatics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Pennsylvania, USA.
When treatment effects change over time in stepped-wedge cluster-randomized trials, the standard constant effect model can be biased. New models accounting for time-varying effects are crucial for accurate estimation.
Area of Science:
- Clinical Trials Methodology
- Biostatistics
- Epidemiology
Background:
- Stepped-wedge cluster-randomized trials (SW-CRTs) traditionally assume homogeneous treatment effects over time.
- This assumption can lead to biased estimation if true treatment effects vary across time periods.
- Multiple interventions and time-varying effects present challenges for standard SW-CRT models.
Purpose of the Study:
- To derive the expected value of the constant effect estimator in SW-CRTs with time-varying treatment effects.
- To evaluate the performance of standard and time-varying effect models under different SW-CRT designs.
- To assess the impact of ignoring time heterogeneity on treatment effect estimation and inference.
Main Methods:
- Derivation of the expected value of the constant effect estimator under exchangeable within-cluster correlation.
- Application to concurrent and factorial SW-CRT designs with multiple interventions.
- Extensive simulation studies comparing constant effect and time-varying effect models.
- Analysis of the Prognosticating Outcomes and Nudging Decisions in the Electronic Health Record (PONDER) trial data.
Main Results:
- The constant effect estimator converges to a weighted average of time-specific effects, with potentially non-intuitive weights.
- Ignoring time heterogeneity leads to biased estimation and inadequate coverage for the average treatment effect.
- Time-varying fixed effect models showed comparable power for concurrent and factorial designs across various effect curve shapes.
- The PONDER trial data analysis indicated no significant treatment effect for either intervention across all models, but with differing precision.
Conclusions:
- Standard constant effect models are inadequate for SW-CRTs when treatment effects vary over time.
- Models accommodating time-varying effects are necessary for unbiased estimation and reliable inference in complex SW-CRT designs.
- The choice of model impacts the precision of treatment effect estimates, even when no significant effect is detected.
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