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Cumulative Logit Ordinal Regression With Proportional Odds Under Nonignorable Missing Responses-Application to Phase
Arnab Kumar Maity1, Huaming Tan2, Vivek Pradhan3
1Boehringer Ingelheim Pharmaceuticals, Inc., Ridgefield, Connecticut, USA.
This study introduces a new algorithm to handle nonignorable missing data in proportional odds regression models for clinical trials. The method effectively analyzes ordinal response data, even with complex missingness patterns.
Area of Science:
- Biostatistics
- Clinical Trial Methodology
- Statistical Modeling
Background:
- Missing data are common in clinical trials, particularly those with ordinal responses.
- Missing data can arise from various mechanisms, including nonignorable missingness where data depend on the response itself.
- Accurate analysis requires methods that appropriately handle these nonignorable missing data patterns.
Purpose of the Study:
- To propose an expectation-maximization (EM) based algorithm for proportional odds regression models.
- To address scenarios with nonignorable missing ordinal responses in clinical trial data.
- To provide a robust statistical method for analyzing incomplete categorical data.
Main Methods:
- Development of an expectation-maximization (EM) algorithm tailored for proportional odds models.
- Simulation studies to evaluate the methodology's performance and finite sample properties.
- Application of the proposed method to real-world clinical trial data from a Phase III psoriasis study.
Main Results:
- The proposed EM algorithm demonstrates effectiveness in fitting proportional odds regression models with nonignorable missing data.
- Simulation results confirm the methodology's validity and finite sample performance.
- Successful application to a Phase III clinical trial highlights practical utility.
Conclusions:
- The developed EM algorithm provides a viable solution for analyzing ordinal response data with nonignorable missingness in clinical trials.
- This method enhances the reliability of statistical inferences when dealing with complex missing data.
- The study offers a practical tool, including a SAS program, for researchers.
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