Constrained groupwise additive index models.

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Pierre Masselot, Fateh Chebana, Céline Campagna, Éric Lavigne, Taha B M J Ouarda, Pierre Gosselin
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Abstract

In environmental epidemiology, there is wide interest in creating and using comprehensive indices that can summarize information from different environmental exposures while retaining strong predictive power on a target health outcome. In this context, the present article proposes a model called the constrained groupwise additive index model (CGAIM) to create easy-to-interpret indices predictive of a response variable, from a potentially large list of variables. The CGAIM considers groups of predictors that naturally belong together to yield meaningful indices. It also allows the addition of linear constraints on both the index weights and the form of their relationship with the response variable to represent prior assumptions or operational requirements. We propose an efficient algorithm to estimate the CGAIM, along with index selection and inference procedures. A simulation study shows that the proposed algorithm has good estimation performances, with low bias and variance and is applicable in complex situations with many correlated predictors. It also demonstrates important sensitivity and specificity in index selection, but non-negligible coverage error on constructed confidence intervals. The CGAIM is then illustrated in the construction of heat indices in a health warning system context. We believe the CGAIM could become useful in a wide variety of situations, such as warning systems establishment, and multipollutant or exposome studies.

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有约束的成组加性指数模型。
在环境流行病学中,人们对创建和使用综合指数产生了广泛的兴趣,这些指数可以总结不同环境暴露的信息,同时对目标健康结果保持强大的预测能力。在这种情况下,本文提出了一种称为约束成组加性指数模型(CGAIM)的模型,以从潜在的大量变量中创建易于解释的预测响应变量的指数。CGAIM考虑了自然属于一起的预测因素组,以产生有意义的指数。它还允许在指标权重及其与响应变量的关系形式上添加线性约束,以表示先前的假设或操作要求。我们提出了一种有效的算法来估计CGAIM,以及索引选择和推理过程。仿真研究表明,该算法具有良好的估计性能,具有较低的偏差和方差,适用于具有许多相关预测因子的复杂情况。它还证明了指数选择的重要敏感性和特异性,但在构建的置信区间上存在不可忽略的覆盖误差。CGAIM随后在健康预警系统背景下的热指数构建中进行了说明。我们相信,CGAIM可以在各种情况下发挥作用,例如建立预警系统,以及多融合或暴露研究。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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