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, such as students clustered in classes. For each subject, a latent process is used to represent the characteristic of interest (e.g., ability) conditional on the effect of the cluster to which he or she belongs. The latter effect is modeled by a discrete latent variable associated to each cluster. For the maximum likelihood estimation of the model parameters, an Expectation-Maximization algorithm is outlined. Through the analysis of a data set collected in the Lombardy Region (Italy), it is shown how the proposed model may be used for assessing the development of cognitive achievement. The data set is based on test scores in mathematics observed over 3 years on middle school students attending public and non-state schools

Bartolucci, F., Pennoni, F., & Vittadini, G. (2011). Assessment of school performance through a multilevel latent Markov Rasch model. JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS, 36(4), 491-522 [10.3102/1076998610381396].

Assessment of school performance through a multilevel latent Markov Rasch model

PENNONI, FULVIA;VITTADINI, GIORGIO
2011

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, such as students clustered in classes. For each subject, a latent process is used to represent the characteristic of interest (e.g., ability) conditional on the effect of the cluster to which he or she belongs. The latter effect is modeled by a discrete latent variable associated to each cluster. For the maximum likelihood estimation of the model parameters, an Expectation-Maximization algorithm is outlined. Through the analysis of a data set collected in the Lombardy Region (Italy), it is shown how the proposed model may be used for assessing the development of cognitive achievement. The data set is based on test scores in mathematics observed over 3 years on middle school students attending public and non-state schools
No
Articolo in rivista - Articolo scientifico
Scientifica
binary longitudinal data; EM algorithm; empirical comparison; multilevel model; public versus private schools; school effect
English
491
522
32
http://arxiv.org/abs/0909.4961
Bartolucci, F., Pennoni, F., & Vittadini, G. (2011). Assessment of school performance through a multilevel latent Markov Rasch model. JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS, 36(4), 491-522 [10.3102/1076998610381396].
Bartolucci, F; Pennoni, F; Vittadini, G
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/8540
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