Likelihood-based Modeling of Covariate-Specific Time-Dependent ROC Curves

Fuente: arXiv
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Autores principales: Sewak, Ainesh, Inacio, Vanda, Wuu, Joanne, Benatar, Michael, Hothorn, Torsten
Formato: Preprint
Publicado: 2025
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author Sewak, Ainesh
Inacio, Vanda
Wuu, Joanne
Benatar, Michael
Hothorn, Torsten
author_facet Sewak, Ainesh
Inacio, Vanda
Wuu, Joanne
Benatar, Michael
Hothorn, Torsten
contents Identifying reliable biomarkers for predicting clinical events in longitudinal studies is important for accurate disease prognosis and for guiding development of new treatments. However, prognostic studies are often observational, making it difficult to account for patient heterogeneity. In amyotrophic lateral sclerosis (ALS), factors such as age, site of onset and genetic status influence both survival and biomarker levels, yet their impact on the prognostic accuracy of biomarkers over time remains unclear. While time-dependent receiver operating characteristic methods have been developed to handle censored time-to-event outcomes, most do not adjust for covariates. To address this, we propose the nonparanormal prognostic biomarker framework, which models the joint distribution of the biomarker and event time while accounting for covariates. This allows estimation of covariate-specific time-dependent ROC curves and related summary measures. We apply the NPB framework to evaluate serum neurofilament light as a prognostic biomarker in ALS, showing that its accuracy varies over time and with patient characteristics. By capturing these covariate-specific effects, the NPB framework supports more targeted risk stratification and can potentially improve the design of clinical trials for new ALS treatments.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20892
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Likelihood-based Modeling of Covariate-Specific Time-Dependent ROC Curves
Sewak, Ainesh
Inacio, Vanda
Wuu, Joanne
Benatar, Michael
Hothorn, Torsten
Methodology
Applications
Identifying reliable biomarkers for predicting clinical events in longitudinal studies is important for accurate disease prognosis and for guiding development of new treatments. However, prognostic studies are often observational, making it difficult to account for patient heterogeneity. In amyotrophic lateral sclerosis (ALS), factors such as age, site of onset and genetic status influence both survival and biomarker levels, yet their impact on the prognostic accuracy of biomarkers over time remains unclear. While time-dependent receiver operating characteristic methods have been developed to handle censored time-to-event outcomes, most do not adjust for covariates. To address this, we propose the nonparanormal prognostic biomarker framework, which models the joint distribution of the biomarker and event time while accounting for covariates. This allows estimation of covariate-specific time-dependent ROC curves and related summary measures. We apply the NPB framework to evaluate serum neurofilament light as a prognostic biomarker in ALS, showing that its accuracy varies over time and with patient characteristics. By capturing these covariate-specific effects, the NPB framework supports more targeted risk stratification and can potentially improve the design of clinical trials for new ALS treatments.
title Likelihood-based Modeling of Covariate-Specific Time-Dependent ROC Curves
topic Methodology
Applications
url https://arxiv.org/abs/2502.20892