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Optimal Partitioning for Linear Mixed Effects Models: Applications to Identifying Placebo Responders
Thaddeus Tarpey1, Eva Petkova, Yimeng Lu
1Professor in the Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435.
Identifying placebo responders in clinical trials is crucial. This study introduces an optimal partitioning method for linear mixed models to distinguish drug effects from placebo effects, aiding in patient stratification and treatment response analysis.
Area of Science:
- Clinical Research
- Biostatistics
- Psychopharmacology
Background:
- Distinguishing specific drug effects from non-specific placebo effects in clinical research is a persistent challenge.
- Linear mixed-effects models are standard for analyzing longitudinal data in clinical trials.
Purpose of the Study:
- To present an optimal partitioning methodology for linear mixed-effects models to identify placebo responders.
- To compare this new partitioning strategy with existing growth mixture modeling approaches.
Main Methods:
- The optimal partitioning methodology generates prototypical outcome profiles from longitudinal data.
- This approach accommodates both continuous and discrete covariates.
- Applied to a two-phase depression trial involving fluoxetine treatment and a placebo discontinuation phase.
Main Results:
- The optimal partitioning methodology successfully identified distinct prototypical outcome profiles in the first phase of the depression trial.
- Survival analysis on partitioned data from the second phase revealed differences in relapse rates based on continued fluoxetine treatment versus placebo.
Conclusions:
- The proposed optimal partitioning methodology effectively differentiates patient responses attributable to specific drug effects versus placebo effects.
- This method aids in understanding treatment response heterogeneity and can inform clinical trial design and analysis, particularly in distinguishing true drug efficacy.
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