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Published on: September 6, 2019
Prioritized concordance index for hierarchical survival outcomes
Li C Cheung1, Qing Pan2, Noorie Hyun3
1Division of Cancer Epidemiology and Genetics, NIH National Cancer Institute, Rockville, MD.
Insights
We introduce a new prioritized concordance index to assess biomarker prognostic value for diseases with multiple outcomes. This method improves efficiency and power in identifying prognostic variables, especially when predictors affect multiple disease aspects.
Area of Science:
- Biostatistics
- Epidemiology
- Clinical Research Methodology
Background:
- Evaluating prognostic biomarkers for complex diseases with multiple outcomes is challenging.
- Existing methods may not optimally leverage information from prioritized or multiple disease endpoints.
Purpose of the Study:
- To propose and validate a novel prioritized concordance index for assessing biomarker prognostic utility in diseases with multiple, prioritized outcomes.
- To enhance the efficiency and power of prognostic variable identification compared to single-outcome indices.
Main Methods:
- Extension of Harrell's concordance (C) index to a "prioritized concordance index" for prioritized outcomes.
- Utilizing generalized pairwise comparisons based on the most severe outcome, similar to the win ratio.
- Employing inverse probability weighting for censoring correction and U-statistic properties for asymptotic analysis.
Main Results:
- Simulation studies demonstrate increased efficiency and power when a predictor is associated with both primary and secondary outcomes.
- The prioritized concordance index effectively identifies prognostic variables compared to using only the primary outcome.
- Application to type II diabetes risk and lung cancer incidence/mortality models showcases its utility.
Conclusions:
- The prioritized concordance index offers a robust method for evaluating prognostic biomarkers in diseases with multiple, prioritized outcomes.
- This approach enhances the ability to detect true prognostic signals, particularly when biomarkers influence various disease aspects.
- The index provides valuable insights into risk prediction for complex diseases like diabetes and cancer.
Abstract:
We propose an extension of Harrell's concordance (C) index to evaluate the prognostic utility of biomarkers for diseases with multiple measurable outcomes that can be prioritized. Our prioritized concordance index measures the probability that, given a random subject pair, the subject with the worst disease status as of a time τ has the higher predicted risk. Our prioritized concordance index uses the same approach as the win ratio, by basing generalized pairwise comparisons on the most severe or clinically important comparable outcome. We use an inverse probability weighting technique to correct for study-specific censoring. Asymptotic properties are derived using U-statistic properties. We apply the prioritized concordance index to two types of disease processes with a rare primary outcome and a more common secondary outcome. Our simulation studies show that when a predictor is predictive of both outcomes, the new concordance index can gain efficiency and power in identifying true prognostic variables compared to using the primary outcome alone. Using the prioritized concordance index, we examine whether novel clinical measures can be useful in predicting risk of type II diabetes in patients with impaired glucose resistance whose disease status can also regress to normal glucose resistance. We also examine the discrimination ability of four published risk models among ever smokers at risk of lung cancer incidence and subsequent death.
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