Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.

Modeling medical costs is a crucial task in health economics, especially when high-dimensional covariates and nonlinear effects are present. In this study, we propose a partially nonlinear index model (PNIM) that integrates partially sufficient dimension reduction with a rapid instrumental variable...

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Main Authors: Xiaobing Zhao, Yufeng Xia, Xuan Xu
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0321796
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author Xiaobing Zhao
Yufeng Xia
Xuan Xu
author_facet Xiaobing Zhao
Yufeng Xia
Xuan Xu
author_sort Xiaobing Zhao
collection DOAJ
description Modeling medical costs is a crucial task in health economics, especially when high-dimensional covariates and nonlinear effects are present. In this study, we propose a partially nonlinear index model (PNIM) that integrates partially sufficient dimension reduction with a rapid instrumental variable pilot estimation method. Through simulations, we demonstrate that the proposed model excels at capturing significant nonlinear relationships. When applying the model to the Medical Expenditure Panel Survey (MEPS) dataset, we identify important nonlinear age effects on medical costs and highlight key factors such as hospitalization, cardiovascular diseases, and supplemental insurance coverage. These findings provide valuable insights for healthcare policy, including targeted interventions for specific age groups and enhanced management of chronic conditions. Overall, the proposed method offers a flexible and computationally efficient framework for analyzing complex medical cost data, with broad applicability in health economics.
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spelling doaj-art-a4369ea031484d10b958fd8d3a9b3df92025-08-20T01:55:28ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01205e032179610.1371/journal.pone.0321796Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.Xiaobing ZhaoYufeng XiaXuan XuModeling medical costs is a crucial task in health economics, especially when high-dimensional covariates and nonlinear effects are present. In this study, we propose a partially nonlinear index model (PNIM) that integrates partially sufficient dimension reduction with a rapid instrumental variable pilot estimation method. Through simulations, we demonstrate that the proposed model excels at capturing significant nonlinear relationships. When applying the model to the Medical Expenditure Panel Survey (MEPS) dataset, we identify important nonlinear age effects on medical costs and highlight key factors such as hospitalization, cardiovascular diseases, and supplemental insurance coverage. These findings provide valuable insights for healthcare policy, including targeted interventions for specific age groups and enhanced management of chronic conditions. Overall, the proposed method offers a flexible and computationally efficient framework for analyzing complex medical cost data, with broad applicability in health economics.https://doi.org/10.1371/journal.pone.0321796
spellingShingle Xiaobing Zhao
Yufeng Xia
Xuan Xu
Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
PLoS ONE
title Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
title_full Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
title_fullStr Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
title_full_unstemmed Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
title_short Sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis.
title_sort sufficient dimension reduction on partially nonlinear index models with applications to medical costs analysis
url https://doi.org/10.1371/journal.pone.0321796
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AT yufengxia sufficientdimensionreductiononpartiallynonlinearindexmodelswithapplicationstomedicalcostsanalysis
AT xuanxu sufficientdimensionreductiononpartiallynonlinearindexmodelswithapplicationstomedicalcostsanalysis