作为横截面和纵向混合结构方程模型的尖点突变模型。
The cusp catastrophe model as cross-sectional and longitudinal mixture structural equation models.
作者信息
Chow Sy-Miin, Witkiewitz Katie, P P P Grasman Raoul, Maisto Stephen A
机构信息
Department of Human Development and Family Studies, The Pennsylvania State University.
Department of Psychology, University of New Mexico.
出版信息
Psychol Methods. 2015 Mar;20(1):142-64. doi: 10.1037/a0038962.
Catastrophe theory (Thom, 1972, 1993) is the study of the many ways in which continuous changes in a system's parameters can result in discontinuous changes in 1 or several outcome variables of interest. Catastrophe theory-inspired models have been used to represent a variety of change phenomena in the realm of social and behavioral sciences. Despite their promise, widespread applications of catastrophe models have been impeded, in part, by difficulties in performing model fitting and model comparison procedures. We propose a new modeling framework for testing 1 kind of catastrophe model-the cusp catastrophe model-as a mixture structural equation model (MSEM) when cross-sectional data are available; or alternatively, as an MSEM with regime-switching (MSEM-RS) when longitudinal panel data are available. The proposed models and the advantages offered by this alternative modeling framework are illustrated using 2 empirical examples and a simulation study.
突变理论（托姆，1972年，1993年）研究的是系统参数的连续变化能够导致一个或多个感兴趣的结果变量发生不连续变化的多种方式。受突变理论启发的模型已被用于表示社会和行为科学领域中的各种变化现象。尽管它们前景广阔，但突变模型的广泛应用在一定程度上受到了模型拟合和模型比较程序执行困难的阻碍。我们提出了一种新的建模框架，当有横截面数据时，将一种突变模型——尖点突变模型作为混合结构方程模型（MSEM）进行检验；或者，当有纵向面板数据时，将其作为具有状态切换的MSEM（MSEM-RS）进行检验。通过两个实证例子和一项模拟研究说明了所提出的模型以及这种替代建模框架所提供的优势。
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