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arXiv 1503.00890stat.COstat.ME
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使用潜在类和潜在过程的扩展混合模型的估计:R包lcmm

Estimation of extended mixed models using latent classes and latent processes: the R package lcmm

Cécile Proust-Lima, Viviane Philipps, Benoit Liquet

摘要:

R包lcmm提供了一系列函数来估计基于线性混合模型理论的统计模型。它包括高斯纵向结局(hlme)、曲线和有序单变量纵向结局(lcmm)和曲线多变量结局(multlcmm)的混合模型和潜在类混合模型的估计,以及(高斯或曲线)纵向结局和可能左截尾右删失并在竞争环境中定义的至事件时间的联合潜在类混合模型(Jointlcmm)的估计。极大似然估计器使用修改的Marquardt算法获得严格的收敛准则的基础上的参数和似然稳定性,和负的二阶导数。该软件包还提供各种拟合后功能,包括拟合优度分析、分类、绘图、预测轨迹、事件的个体动态预测和预测准确性评估。本文构成了配套文件包通过介绍每个家庭的模型,估计技术,一些实施细节,并通过一个数据集的认知老化的例子。

英文摘要:

The R package lcmm provides a series of functions to estimate statistical models based on linear mixed model theory. It includes the estimation of mixed models and latent class mixed models for Gaussian longitudinal outcomes (hlme), curvilinear and ordinal univariate longitudinal outcomes (lcmm) and curvilinear multivariate outcomes (multlcmm), as well as joint latent class mixed models (Jointlcmm) for a (Gaussian or curvilinear) longitudinal outcome and a time-to-event that can be possibly left-truncated right-censored and defined in a competing setting. Maximum likelihood esimators are obtained using a modified Marquardt algorithm with strict convergence criteria based on the parameters and likelihood stability, and on the negativity of the second derivatives. The package also provides various post-fit functions including goodness-of-fit analyses, classification, plots, predicted trajectories, individual dynamic prediction of the event and predictive accuracy assessment. This paper constitutes a companion paper to the package by introducing each family of models, the estimation technique, some implementation details and giving examples through a dataset on cognitive aging.

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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