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Updated: Mar 26, 2026

06:52
Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
Published on: September 17, 2019
6.9K
Summary
This study introduces six methods for path modeling using composite variables, with five readily available in standard software. Performance criteria are developed to compare these "soft modeling" techniques, including Partial Least Squares.
Area of Science:
- Statistics
- Quantitative Psychology
- Econometrics
Background:
- Traditional path models often rely on latent variables, which can be complex to implement.
- Composite variables offer a practical alternative, simplifying model fitting.
- Soft modeling approaches, like Partial Least Squares, are gaining traction for their flexibility.
Purpose of the Study:
- To introduce and evaluate six methods for fitting path models using weighted composite variables.
- To connect these composite variable methods with Partial Least Squares (PLS) soft modeling.
- To establish criteria for comparing the performance of these path modeling techniques.
Main Methods:
- Introduction of six distinct methods for path model estimation with composite variables.
- Implementation details for five methods using conventional statistical software.
- Application of Partial Least Squares (PLS) as a framework for soft modeling.
Main Results:
- Five of the six introduced methods are easily implementable with standard software.
- Development of specific criteria for evaluating and comparing the performance of the fitting methods.
- Comparative analysis and evaluative remarks on the devised methods.
Conclusions:
- Composite variable approaches provide accessible alternatives for path modeling.
- The proposed criteria facilitate the selection of appropriate methods for specific research contexts.
- Further research can build upon these methods for advanced soft modeling applications.
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