Concept
latent variable methods
Variants
Latent Variable Techniques, Latent Variable Modeling
Parents
Children
Factor ModelsLatent StructureMeasurement ModelingMeasurement ModelsMixture Models
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Structural Latent-Variable Modeling
1988 - 1994
The period 1988-1994 saw latent-variable modeling mature into a cohesive framework that integrates measurement models with covariance-structure inference, placing emphasis on the interpretation of latent constructs and the relationship between observed indicators and latent factors. The era expanded concomitant-variable latent-class models and differential item functioning through log-linear formulations that allow latent-group effects to be examined, while multiway data were addressed through tensorial calibration and direct trilinear decomposition. In predictive settings, methods such as principal component regression, dynamic principal component analysis, and common component analysis were employed to enhance prediction and discrimination across groups.
• Foundations and robustness of latent variable modeling (factor analysis, latent trait models) focusing on covariance-structure inference [11], [7], [10].
• Concomitant-variable latent-class models and differential item functioning (DIF) assessment through log-linear formulations enabling latent-group effects [8], [4].
• Tensorial calibration and direct trilinear decomposition address multiway data in calibration and analysis of higher-order arrays [1], [17].
• PCR, DPCA and CPCA for prediction and group discrimination [3], [20], [6], [16].
Developmental Latent Variable Modeling
1995 - 2001
General Latent Variable Modeling
2002 - 2008
Unified Latent-Variable Modeling
2009 - 2010
Dynamic Longitudinal Latent Modeling
2011 - 2017
Invariant and Flexible Latent Modeling
2018 - 2023