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A general approach to defining latent growth components

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Organization
Abstract
We present a 3-step approach to defining latent growth components. In the first step, a measurement model with at least 2 indicators for each time point is formulated to identify measurement error variances and obtain latent variables that are purged from measurement error. In the second step, we use contrast matrices to define the latent growth components representing the constructs of substantive interest. The corresponding matrix of structural coefficients is then computed by inverting the contrast matrix. In the third and last step, the first 2 steps are integrated into a structural equation model. The particular strength of this approach is that it permits construction of latent growth components in such away that they represent interesting contrasts from a substantive point of view. This is illustrated using data of cancer patients obtained from 3 fatigue scales of the multidimensional fatigue inventory measured at 4 time points.
Keywords
LONGITUDINAL DATA, STRUCTURAL EQUATION MODELS, INDIVIDUAL-DIFFERENCES, MEASUREMENT INVARIANCE, FACTORIAL INVARIANCE, HODGKINS LYMPHOMA, CURVE ANALYSIS, TIME, PREDICTORS, VARIABLES

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MLA
Mayer, Axel, Rolf Steyer, and Horst Mueller. “A General Approach to Defining Latent Growth Components.” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL 19.4 (2012): 513–533. Print.
APA
Mayer, A., Steyer, R., & Mueller, H. (2012). A general approach to defining latent growth components. STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 19(4), 513–533.
Chicago author-date
Mayer, Axel, Rolf Steyer, and Horst Mueller. 2012. “A General Approach to Defining Latent Growth Components.” Structural Equation Modeling-a Multidisciplinary Journal 19 (4): 513–533.
Chicago author-date (all authors)
Mayer, Axel, Rolf Steyer, and Horst Mueller. 2012. “A General Approach to Defining Latent Growth Components.” Structural Equation Modeling-a Multidisciplinary Journal 19 (4): 513–533.
Vancouver
1.
Mayer A, Steyer R, Mueller H. A general approach to defining latent growth components. STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL. 2012;19(4):513–33.
IEEE
[1]
A. Mayer, R. Steyer, and H. Mueller, “A general approach to defining latent growth components,” STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, vol. 19, no. 4, pp. 513–533, 2012.
@article{5802987,
  abstract     = {{We present a 3-step approach to defining latent growth components. In the first step, a measurement model with at least 2 indicators for each time point is formulated to identify measurement error variances and obtain latent variables that are purged from measurement error. In the second step, we use contrast matrices to define the latent growth components representing the constructs of substantive interest. The corresponding matrix of structural coefficients is then computed by inverting the contrast matrix. In the third and last step, the first 2 steps are integrated into a structural equation model. The particular strength of this approach is that it permits construction of latent growth components in such away that they represent interesting contrasts from a substantive point of view. This is illustrated using data of cancer patients obtained from 3 fatigue scales of the multidimensional fatigue inventory measured at 4 time points.}},
  author       = {{Mayer, Axel and Steyer, Rolf and Mueller, Horst}},
  issn         = {{1070-5511}},
  journal      = {{STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL}},
  keywords     = {{LONGITUDINAL DATA,STRUCTURAL EQUATION MODELS,INDIVIDUAL-DIFFERENCES,MEASUREMENT INVARIANCE,FACTORIAL INVARIANCE,HODGKINS LYMPHOMA,CURVE ANALYSIS,TIME,PREDICTORS,VARIABLES}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{513--533}},
  title        = {{A general approach to defining latent growth components}},
  url          = {{http://dx.doi.org/10.1080/10705511.2012.713242}},
  volume       = {{19}},
  year         = {{2012}},
}

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