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Introduction to latent variable models

Introduction to latent variable models lecture 1. Francesco Bartolucci Department of Economics, Finance and Statistics University of Perugia, IT. [2/24]. Outline latent variables and their use Some example datasets A general formulation of latent variable models The Expectation-Maximization algorithm for maximum likelihood estimation Finite mixture model (with example of application). latent class and latent regression models (with examples of application). latent variables and their use [3/24]. latent variable and their use A latent variable is a variable which is not directly observable and is assumed to affect the response variables (manifest variables).

Latent variable models have now a wide range of applications, especially in the presence of repeated observations, longitudinal/panel data, and multilevel data These models are typically classi ed according to:.nature of the response variables (discrete or continuous).nature of the latent variables (discrete or continuous)

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