Modeling Nonlinear Change via Latent Change and Latent Acceleration Frameworks: Examining Velocity and Acceleration of Growth Trajectories
Modeling Nonlinear Change via Latent Change and Latent Acceleration Frameworks: Examining Velocity and Acceleration of Growth Trajectories
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DOI：
10.1080/00273171.2012.755111
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发表时间：
2013-01-01
影响因子：
3.8
通讯作者：
Mazzocco, Michele
中科院分区：
文献类型：
--
作者：
Grimm, Kevin;Zhang, Zhiyong;Mazzocco, Michele
我们提出了使用潜在的变化和潜在的加速框架建模非线性增长的结构方程模型。移动到这些框架允许直接识别潜在增长曲线的变化率和加速度，当变化模式相对于时间是非线性的时，通过传统的增长曲线模型间接获得信息。为了说明这种方法，指数增长模型的三个框架是适合纵向响应时间数据的数学技能发展项目（Mazzocco和迈耶斯，2002年，2003年）。我们强调了在这些框架中拟合增长曲线所获得的额外信息，以及这些方法的局限性和扩展。
We propose the use of the latent change and latent acceleration frameworks for modeling nonlinear growth in structural equation models. Moving to these frameworks allows for the direct identification of rates of change and acceleration in latent growth curvesinformation available indirectly through traditional growth curve models when change patterns are nonlinear with respect to time. To illustrate this approach, exponential growth models in the three frameworks are fit to longitudinal response time data from the Math Skills Development Project (Mazzocco & Meyers, 2002, 2003). We highlight the additional information gained from fitting growth curves in these frameworks as well as limitations and extensions of these approaches.