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Nonlinear Models for Longitudinal Data
The American Statistician ( IF 1.8 ) Pub Date : 2009-11-01 , DOI: 10.1198/tast.2009.07256
Jan Serroyen 1 , Geert Molenberghs , Geert Verbeke , Marie Davidian
Affiliation  

Whereas marginal models, random-effects models, and conditional models are routinely considered to be the three main modeling families for continuous and discrete repeated measures with linear and generalized linear mean structures, respectively, it is less common to consider nonlinear models, let alone frame them within the above taxonomy. In the latter situation, indeed, when considered at all, the focus is often exclusively on random-effects models. In this article, we consider all three families, exemplify their great flexibility and relative ease of use, and apply them to a simple but illustrative set of data on tree circumference growth of orange trees. This article has supplementary material online.

中文翻译:

纵向数据的非线性模型

虽然边际模型、随机效应模型和条件模型通常被认为是分别具有线性和广义线性平均结构的连续和离散重复测量的三个主要建模系列,但很少考虑非线性模型,更不用说框架了它们属于上述分类法。事实上,在后一种情况下,当完全考虑时,重点通常只放在随机效应模型上。在本文中,我们考虑了所有三个家族,举例说明了它们的极大灵活性和相对易用性,并将它们应用于一组简单但具有说明性的橙树树围生长数据。这篇文章在网上有补充材料。
更新日期:2009-11-01
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