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arXiv 0908.2886stat.AP
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纵向健康结果潜在暴露模型拟合的估计方程法

An estimating equations approach to fitting latent exposure models with longitudinal health outcomes

Brisa N. Sánchez, Esben Budtz-Jørgensen, Louise M. Ryan

摘要:

环境健康研究收集了大量的接触测量数据,对这些数据的分析可以从使用潜变量模型来总结接触信息中获益。然而,估计模型参数的困难可能会出现,因为现有的拟合程序的线性潜在变量模型需要正确指定的残差方差结构的回归参数的无偏估计量化(潜在)接触和健康结果之间的关联。我们提出了一个估计方程的方法,潜在暴露模型与纵向健康结果,这是鲁棒的结果方差的误指定。我们表明,相比极大似然,所提出的方法的效率损失是相对较小的模型时,被正确指定。所提出的方程形式化的ad-hoc回归的因素得分程序,并推广回归校准。我们提出了两种加权方案的方程,并比较它们的效率。我们应用这种方法来研究宫内铅暴露对儿童发育的影响。

英文摘要:

The analysis of data arising from environmental health studies which collect a large number of measures of exposure can benefit from using latent variable models to summarize exposure information. However, difficulties with estimation of model parameters may arise since existing fitting procedures for linear latent variable models require correctly specified residual variance structures for unbiased estimation of regression parameters quantifying the association between (latent) exposure and health outcomes. We propose an estimating equations approach for latent exposure models with longitudinal health outcomes which is robust to misspecification of the outcome variance. We show that compared to maximum likelihood, the loss of efficiency of the proposed method is relatively small when the model is correctly specified. The proposed equations formalize the ad-hoc regression on factor scores procedure, and generalize regression calibration. We propose two weighting schemes for the equations, and compare their efficiency. We apply this method to a study of the effects of in-utero lead exposure on child development.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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