Squeezing interval change from ordinal panel data: Latent growth curves with ordinal outcomes

Squeezing interval change from ordinal panel data: Latent growth curves with ordinal outcomes
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DOI:
10.1037/1082-989x.9.3.301
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发表时间:
2004-09-01
影响因子:
7
通讯作者:
Flay, BR
Flay, BR
中科院分区:
心理学1区
文献类型:
--
作者:
Mehta, PD;Neale, MC;Flay, BR

文献摘要

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提出了一种有序结果的潜在增长曲线建模方法。用一个假设的例子,以图形方式说明了用有序变量和阈值不变性的概念建模增长的概念方面。有序增长模型根据3个嵌套模型进行描述:(a)基础连续潜变量(y(t))的多变量正态性及其与观察到的有序响应模式(Y-t)的关系,(B)随时间的阈值不变性,以及(c)连续潜变量的增长模型(在共同尺度中)。推导了模型限制的代数含义,并借助于一个经验例子和Mx脚本讨论了拟合有序增长模型的实际方面。C. Neale,S. M. Boker,G. Xie,& H. H. Maes,1999)。讨论了有序数据增长模型识别的必要条件和阈值不变性模型的方法学意义。
A didactic on latent growth curve modeling for ordinal outcomes is presented. The conceptual aspects of modeling growth with ordinal variables and the notion of threshold invariance are illustrated graphically using a hypothetical example. The ordinal growth model is described in terms of 3 nested models: (a) multivariate normality of the underlying continuous latent variables (y(t)) and its relationship with the observed ordinal response pattern (Y-t), (b) threshold invariance over time, and (c) growth model for the continuous latent variable (in a common scale. Algebraic implications of the model restrictions are derived, and practical aspects of fitting ordinal growth models are discussed with the help of an empirical example and Mx script (M. C. Neale, S. M. Boker, G. Xie, & H. H. Maes, 1999). The necessary conditions for the identification of growth models with ordinal data and the methodological implications of the model of threshold invariance are discussed.