Generalized Monotone Additive Latent Variable Models

Isotone additive latent variable models

For manifest variables with additive noise and for a given number of latent variables with an assumed distribution, we propose to nonparametrically estimate the association between latent and manifest variables. Our estimation is a two step procedure: first it employs standard factor analysis to estimate the latent variables as theoretical quantiles of the assumed distribution; second, it emplo...

Estimation of Generalized Linear Latent Variable Models

Generalized Linear Latent Variable Models (GLLVM), as de ned in Bartholomew and Knott (1999) enable modelling of relationships between manifest and latent variables. They extend structural equation modelling techniques, which are powerful tools in the social sciences. However, because of the complexity of the log-likelihood function of a GLLVM, an approximation such as numerical integration mus...

A Characterization of Monotone Unidimensional Latent Variable Models

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A Characterization of Monotone Unidimensional Latent Variable Models

Conditional Association and Unidimensionality in Monotone Latent Variable Models

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