Semiparametric Inference for a Two‐Phase Failure‐Time‐Auxiliary‐Dependent Sampling Design

Fuente: Wiley Open Access
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Auteurs principaux: Xu Cao, Qingning Zhou, Jianwen Cai, Haibo Zhou
Format: Artículo Open Access
Publié: Wiley 2025
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author Xu Cao
Qingning Zhou
Jianwen Cai
Haibo Zhou
author_facet Xu Cao
Qingning Zhou
Jianwen Cai
Haibo Zhou
Xu Cao
Qingning Zhou
Jianwen Cai
Haibo Zhou
collection Wiley Open Access
contents Semiparametric Inference for a Two‐Phase Failure‐Time‐Auxiliary‐Dependent Sampling Design Xu Cao Qingning Zhou Jianwen Cai Haibo Zhou Statistics in Medicine ABSTRACT Large cohort studies under simple random sampling could be prohibitive to conduct for epidemiological studies with a limited budget, especially when exposure variables are expensive or hard to obtain. Failure‐time‐dependent sampling (FDS) is a commonly used cost‐effective sampling strategy for studies with failure times as outcomes. To further enhance study efficiency upon FDS, we propose a two‐phase failure‐time‐auxiliary‐dependent sampling (FADS) design that allows the probability of obtaining the expensive exposures to depend on both the failure time and some cheaply available auxiliary variables to the main exposure of interest. To account for the sampling bias, we develop a semiparametric maximum pseudo‐likelihood approach for inference and a nonparametric bootstrap procedure for variance estimation. The proposed estimator of regression coefficients is shown to be consistent and asymptotically normally distributed. The simulation studies indicate that our proposed method works well in practical settings and is more efficient than other competing sampling schemes or methods. We illustrate our method with the analysis of two real data sets, the ARIC Study and the National Wilms' Tumor Study. 10.1002/sim.70239 http://onlinelibrary.wiley.com/termsAndConditions#am
doi_str_mv 10.1002/sim.70239
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id wiley_oa_10_1002_sim_70239
institution Wiley Open Access
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publishDate 2025
publisher Wiley
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spellingShingle Semiparametric Inference for a Two‐Phase Failure‐Time‐Auxiliary‐Dependent Sampling Design
Xu Cao
Qingning Zhou
Jianwen Cai
Haibo Zhou
Statistics in Medicine
Semiparametric Inference for a Two‐Phase Failure‐Time‐Auxiliary‐Dependent Sampling Design Xu Cao Qingning Zhou Jianwen Cai Haibo Zhou Statistics in Medicine ABSTRACT Large cohort studies under simple random sampling could be prohibitive to conduct for epidemiological studies with a limited budget, especially when exposure variables are expensive or hard to obtain. Failure‐time‐dependent sampling (FDS) is a commonly used cost‐effective sampling strategy for studies with failure times as outcomes. To further enhance study efficiency upon FDS, we propose a two‐phase failure‐time‐auxiliary‐dependent sampling (FADS) design that allows the probability of obtaining the expensive exposures to depend on both the failure time and some cheaply available auxiliary variables to the main exposure of interest. To account for the sampling bias, we develop a semiparametric maximum pseudo‐likelihood approach for inference and a nonparametric bootstrap procedure for variance estimation. The proposed estimator of regression coefficients is shown to be consistent and asymptotically normally distributed. The simulation studies indicate that our proposed method works well in practical settings and is more efficient than other competing sampling schemes or methods. We illustrate our method with the analysis of two real data sets, the ARIC Study and the National Wilms' Tumor Study. 10.1002/sim.70239 http://onlinelibrary.wiley.com/termsAndConditions#am
title Semiparametric Inference for a Two‐Phase Failure‐Time‐Auxiliary‐Dependent Sampling Design
topic Statistics in Medicine
url https://onlinelibrary.wiley.com/doi/10.1002/sim.70239