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Inference on summaries of a model-agnostic longitudinal variable importance trajectory with application to suicide
Brian D Williamson1,2,3, Erica E M Moodie4, Gregory E Simon5,6,7
1Biostatistics Division, Kaiser Permanente Washington Health Research Institute.
The Annals of Applied Statistics
|June 29, 2026
Summary
Understanding suicide risk factors over time is crucial for mental health care. This study introduces methods to track the importance of these risk factors, improving suicide attempt prediction and prevention strategies.
Area of Science:
- Psychiatry and Mental Health
- Data Science and Machine Learning
- Biostatistics
Background:
- Suicide attempt risk fluctuates over time, necessitating dynamic assessment.
- Identifying key risk factors during mental health visits aids clinical decision-making.
- Longitudinal data analysis is essential for understanding time-varying risk in mental health care.
Purpose of the Study:
- To develop methods for assessing variable importance trajectories in longitudinal mental health data.
- To provide robust estimation and inference procedures for time-varying risk factors.
- To enable the analysis of complex machine learning models for suicide risk prediction.
Main Methods:
- Defined summaries of variable importance trajectories and corresponding estimators.
- Proposed a nonparametric efficient estimation and inference procedure.
- Developed a null hypothesis testing procedure valid for complex prediction algorithms.
Main Results:
- Simulations confirmed the proposed procedures exhibit good operating characteristics.
- Applied the methods to electronic health records data from two large health systems.
- Investigated the longitudinal importance of risk factors for suicide attempts.
Conclusions:
- The developed methods offer a robust approach to analyzing time-varying risk factors in mental health.
- Findings inform future suicide prevention research and clinical workflows by highlighting dynamic risk patterns.
- This work enhances the ability to predict and manage suicide risk over time using electronic health records.
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