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Missing data mechanisms in a dose-finding adaptive trial
1Biostatistics and Research Decision Sciences , Merck & Co., Inc., Upper Gwynedd, Pennsylvania 19454-1099, USA. Kenneth_Liu@Merck.com
Abstract:
Although adaptive trials have become popular, little research has been done to investigate the effect of missing data in adaptive trials. We consider three different types of missing data mechanisms-missing completely at random (MCAR), missing at random (MAR), and missing not at random (MNAR)-and introduce the "mixture missing mechanism" (MMM) to an adaptive three-period crossover study that uses the "maximizing procedure." These results are compared to a traditional nonadaptive equal allocation crossover study. Simulations suggest that certain missing data mechanisms can result in biased estimates. For equal allocation, the bias is uniform between treatments so treatment comparisons are unbiased. However, for the maximizing procedure, the bias is not uniform between treatments, so treatment comparisons are biased. For the MNAR and MMM mechanisms, unusually large bias occurs in the placebo group, leading to a substantial loss of power.
Insights
Missing data in adaptive trials can bias results, especially with the maximizing procedure. Certain mechanisms cause significant bias in placebo groups, reducing study power.
Area of Science:
- Biostatistics
- Clinical Trial Design
- Statistical Methods
Background:
- Adaptive clinical trials are increasingly used.
- The impact of missing data on adaptive trial designs is under-researched.
- Crossover study designs are common in clinical research.
Purpose of the Study:
- To investigate the effects of various missing data mechanisms on an adaptive three-period crossover study.
- To compare the performance of a maximizing procedure in adaptive trials with missing data against a traditional nonadaptive design.
- To introduce and evaluate a mixture missing mechanism (MMM) in the context of adaptive crossover trials.
Main Methods:
- Simulated data from a three-period crossover study under different missing data mechanisms: missing completely at random (MCAR), missing at random (MAR), and missing not at random (MNAR).
- Introduction and application of a mixture missing mechanism (MMM).
- Comparison of an adaptive trial using a maximizing procedure with a nonadaptive equal allocation crossover study.
Main Results:
- Missing data mechanisms can lead to biased treatment effect estimates in adaptive trials.
- In equal allocation designs, bias is uniform across treatments, preserving unbiased treatment comparisons.
- The maximizing procedure in adaptive trials exhibits non-uniform bias, resulting in biased treatment comparisons.
- Missing not at random (MNAR) and mixture missing mechanism (MMM) introduce substantial bias in the placebo group, significantly reducing statistical power.
Conclusions:
- Missing data poses a significant challenge to the integrity of adaptive trial results, particularly with the maximizing procedure.
- The choice of adaptive design and the nature of missing data mechanisms critically influence the validity of treatment effect estimates.
- Further research is needed to develop robust methods for handling missing data in adaptive clinical trials to ensure reliable outcomes.
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