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Updated: Jan 29, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Association between Multiple Recurrent Events with Multivariate Modeling: A Retrospective Cohort Study
Freshteh Osmani1, Ebrahim Hajizadeh2, Aliakbar Rasekhi2
1Department of Biostatistics, Faculty of Medical Sciences, Tarbiat Modares University, Tehran, Iran. f.osmani@modares.ac.ir.
This study used joint frailty models to analyze recurrent events in breast cancer patients. Higher tumor grades were associated with increased risk of local and metastatic recurrences, highlighting the need for careful consideration of individual patient risks.
Area of Science:
- Biostatistics
- Oncology
- Epidemiology
Background:
- Recurrent event data are common in biomedical research, such as infections or hospitalizations.
- Studies often involve multiple types of events, necessitating advanced statistical approaches.
- Multivariate joint modeling can identify associations between different event types.
Purpose of the Study:
- To identify the association between two types of recurrent events in breast cancer patients.
- To apply multivariate joint modeling to clinical data for analyzing recurrent events.
- To investigate the relationship between tumor grade and recurrence risk.
Main Methods:
- Retrospective cohort study of 342 breast cancer patients (2006-2015).
- Utilized a joint frailty model implemented in the R software's Frailty package.
- Patients were monitored for at least six months post-diagnosis.
Main Results:
- Three-year and five-year survival rates were 0.79 and 0.68, respectively, when death was the terminal event.
- The joint frailty model indicated an increased risk of local and metastatic recurrences for patients with tumor grades above I.
- Significant variance in the frailty component for metastases suggests individual variability in risk.
Conclusions:
- Patients with similar predictive variables may face varying levels of metastases risk.
- The significant frailty variance for metastases implies inherent individual differences in recurrence susceptibility.
- Caution is advised when interpreting results due to the low frequency of observed recurrence types.
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