Quantile regression for longitudinal data with values below the limit of detection and time-dependent covariates-application to modeling carbon nanotube and nanofiber exposures.

IF 1.8 4区 医学 Q3 PUBLIC, ENVIRONMENTAL & OCCUPATIONAL HEALTH
I-Chen Chen, Stephen J Bertke, Matthew M Dahm
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引用次数: 0

Abstract

Background: In studies of occupational health, longitudinal environmental exposure, and biomonitoring data are often subject to right skewing and left censoring, in which measurements fall below the limit of detection (LOD). To address right-skewed data, it is common practice to log-transform the data and model the geometric mean, assuming a log-normal distribution. However, if the transformed data do not follow a known distribution, modeling the mean of exposure may result in bias and reduce efficiency. In addition, when examining longitudinal data, it is possible that certain covariates may vary over time.

Objective: To develop predictive quantile regression models to resolve the issues of left censoring and time-dependent covariates and to quantitatively evaluate if previous and current covariates can predict current and/or future exposure levels.

Methods: To address these gaps, we suggested incorporating different substitution approaches into quantile regression and utilizing a method for selecting a working type of time dependency for covariates.

Results: In a simulation study, we demonstrated that, under different types of time-dependent covariates, the approach of multiple random value imputation outperformed the other approaches. We also applied our methods to a carbon nanotube and nanofiber exposure study. The dependent variables are the left-censored mass of elemental carbon at both the respirable and inhalable aerosol size fractions. In this study, we identified some potential time-dependent covariates with respect to worker-level determinants and job tasks.

Conclusion: Time dependency for covariates is rarely accounted for when analyzing longitudinal environmental exposure and biomonitoring data with values less than the LOD through predictive modeling. Mistreating the time-dependency as time-independency will lead to an efficiency loss of regression parameter estimation. Therefore, we addressed time-varying covariates in longitudinal exposure and biomonitoring data with left-censored measurements and illustrated an entire conditional distribution through different quantiles.

纵向数据的量子回归,其值低于检测限,且随时间变化的协变量--应用于碳纳米管和纳米纤维暴露建模。
背景:在职业健康、纵向环境暴露和生物监测等研究中,数据通常会出现右偏和左删,即测量值低于检测限(LOD)。要解决右偏数据问题,通常的做法是对数据进行对数变换,并假设为对数正态分布,建立几何平均数模型。但是,如果转换后的数据不服从已知的分布,则建立暴露均值模型可能会导致偏差并降低效率。此外,在研究纵向数据时,某些协变量有可能随时间而变化:建立预测性量子回归模型,以解决左删减和随时间变化的协变量问题,并定量评估以前和当前的协变量能否预测当前和/或未来的暴露水平:为了弥补这些不足,我们建议在量子回归中采用不同的替代方法,并利用一种方法来选择协变量的时间依赖类型:在一项模拟研究中,我们证明了在不同类型的时间依赖性协变量下,多重随机值估算方法的效果优于其他方法。我们还将我们的方法应用于碳纳米管和纳米纤维暴露研究。因变量是可吸入气溶胶和可吸入气溶胶粒度分数的左删减碳元素质量。在这项研究中,我们发现了一些与工人层面的决定因素和工作任务有关的潜在时间依赖性协变量:结论:通过预测模型分析数值小于 LOD 的纵向环境暴露和生物监测数据时,很少考虑协变量的时间依赖性。将时间依赖性误视为时间不依赖性会导致回归参数估计的效率降低。因此,我们对具有左删失测量值的纵向暴露和生物监测数据中的时变协变量进行了处理,并通过不同的量级说明了整个条件分布。
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来源期刊
Annals Of Work Exposures and Health
Annals Of Work Exposures and Health Medicine-Public Health, Environmental and Occupational Health
CiteScore
4.60
自引率
19.20%
发文量
79
期刊介绍: About the Journal Annals of Work Exposures and Health is dedicated to presenting advances in exposure science supporting the recognition, quantification, and control of exposures at work, and epidemiological studies on their effects on human health and well-being. A key question we apply to submission is, "Is this paper going to help readers better understand, quantify, and control conditions at work that adversely or positively affect health and well-being?" We are interested in high quality scientific research addressing: the quantification of work exposures, including chemical, biological, physical, biomechanical, and psychosocial, and the elements of work organization giving rise to such exposures; the relationship between these exposures and the acute and chronic health consequences for those exposed and their families and communities; populations at special risk of work-related exposures including women, under-represented minorities, immigrants, and other vulnerable groups such as temporary, contingent and informal sector workers; the effectiveness of interventions addressing exposure and risk including production technologies, work process engineering, and personal protective systems; policies and management approaches to reduce risk and improve health and well-being among workers, their families or communities; methodologies and mechanisms that underlie the quantification and/or control of exposure and risk. There is heavy pressure on space in the journal, and the above interests mean that we do not usually publish papers that simply report local conditions without generalizable results. We are also unlikely to publish reports on human health and well-being without information on the work exposure characteristics giving rise to the effects. We particularly welcome contributions from scientists based in, or addressing conditions in, developing economies that fall within the above scope.
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