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A C-index for recurrent event data: Application to hospitalizations among dialysis patients
Sehee Kim1, Douglas E Schaubel1, Keith P McCullough2
1Department of Biostatistics, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.
Insights
A new C-index measure quantifies regression model discrimination for recurrent event risk. Analysis of dialysis patient data showed improved risk prediction with country and comorbidity indicators.
Area of Science:
- Biostatistics
- Epidemiology
- Health Services Research
Background:
- Assessing regression model discrimination for recurrent event risk is challenging.
- Existing measures are limited for complex event data, such as recurrent hospitalizations.
Purpose of the Study:
- To propose a novel C-index (index of concordance) for evaluating discrimination in regression models for recurrent event data.
- To address the need for robust measures in analyzing time-to-event data with multiple occurrences.
Main Methods:
- Derivation of theoretical properties of the proposed C-index under the proportional rates model.
- Development of computationally convenient inference procedures using perturbed influence functions.
- Application to hospitalization data from the Dialysis Outcomes and Practice Patterns Study (DOPPS).
Main Results:
- The proposed C-index demonstrates good performance in simulations with moderate sample sizes.
- Adding country indicators to a basic model significantly improved discrimination for recurrent hospitalizations.
- Further discrimination improvements were observed with the inclusion of comorbidity indicators.
Conclusions:
- The new C-index provides a valuable tool for assessing model discrimination in recurrent event data analysis.
- Country and comorbidity factors are important predictors of recurrent hospitalizations in end-stage renal disease patients.
- The methods offer practical improvements for risk prediction in clinical and epidemiological studies.
Abstract:
We propose a C-index (index of concordance) applicable to recurrent event data. The present work addresses the dearth of measures for quantifying a regression model's ability to discriminate with respect to recurrent event risk. The data which motivated the methods arise from the Dialysis Outcomes and Practice Patterns Study (DOPPS), a long-running prospective international study of end-stage renal disease patients on hemodialysis. We derive the theoretical properties of the measure under the proportional rates model (Lin et al., 2000), and propose computationally convenient inference procedures based on perturbed influence functions. The methods are shown through simulations to perform well in moderate samples. Analysis of hospitalizations among a cohort of DOPPS patients reveals substantial improvement in discrimination upon adding country indicators to a model already containing basic clinical and demographic covariates, and further improvement upon adding a relatively large set of comorbidity indicators.
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