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arXiv 1502.03979stat.AP
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青光眼纵向视野两阶段贝叶斯分层建模

Bayesian Hierarchical Modeling of Longitudinal Glaucomatous Visual Fields using a Two-Stage Approach

S. R. Bryan, P. H. C. Eilers, B. Li, D. Rizopoulos, K. A. Vermeer, H. G. Lemij, E. M. E. H. Lesaffre

摘要:

贝叶斯方法已经变得越来越流行,因为它允许通过马尔可夫链蒙特卡罗(MCMC)采样来建模相当复杂的模型。然而,现在也认识到,当复杂的模型需要拟合到大的数据集时,MCMC采样可能在计算上变得过高。为了克服这个问题,我们应用并扩展了最近提出的两阶段的方法来模拟一个复杂的分层数据结构的青光眼患者参与正在进行的荷兰研究。青光眼是世界上最主要的致盲性疾病之一。为了在早期阶段检测退化,需要用于及时预测视野(VF)的模型。因此,可以确定真正的潜在VF进展,然后可以优化治疗策略以防止进一步的VF丧失。由于我们无法拟合这些数据与经典的一阶段的方法,目前流行的贝叶斯软件的基础上,我们使用了两阶段的贝叶斯方法。所考虑的分层纵向模型涉及估计大量的随机效应,并处理删失和高测量变异性。此外,我们扩展了模型评估工具的方法

英文摘要:

The Bayesian approach has become increasingly popular because it allows to model quite complex models via Markov chain Monte Carlo (MCMC) sampling. However, it is also recognized nowadays that MCMC sampling can become computationally prohibitive when a complex model needs to be fit to a large data set. To overcome this problem, we applied and extended a recently proposed two-stage approach to model a complex hierarchical data structure of glaucoma patients who participate in an ongoing Dutch study. Glaucoma is one of the leading causes of blindness in the world. In order to detect deterioration at an early stage, a model for predicting visual fields (VF) in time is needed. Hence, the true underlying VF progression can be determined, and treatment strategies can then be optimized to prevent further VF loss. Since we were unable to fit these data with the classical one-stage approach upon which the current popular Bayesian software is based, we made use of the two-stage Bayesian approach. The considered hierarchical longitudinal model involves estimating a large number of random effects and deals with censoring and high measurement variability. In addition, we extended the approach with tools for model evaluation

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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