Assessment of school performance through a multilevel latent Markov Rasch model

Abstract

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is used to represent the characteristic of interest (e.g. ability) conditional on the effect of the cluster to which he/she belongs. The latter effect is modeled by a discrete latent variable associated with each cluster. For the maximum likelihood estimation of the model parameters we outline an EM algorithm. We show how the proposed model may be used for assessing the development of cognitive Math achievement. This approach is applied to the analysis of a dataset collected in the Lombardy Region (Italy) and based on test scores over three years of middle-school students attending public and private schools.

References in corpus (3)

• Latent Markov model for longitudinal binary data: An application to the performance evaluation of nursing homes
• An overview of latent Markov models for longitudinal categorical data
• Multidimensional latent Markov models in a developmental study of inhibitory control and attentional flexibility in early childhood

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• Mixture of hidden Markov models for accelerometer data
• Nested hidden Markov chains for modeling dynamic unobserved heterogeneity in multilevel longitudinal data