Fondazione GRINS
Growing Resilient,
Inclusive and Sustainable
Galleria Ugo Bassi 1, 40121, Bologna, IT
C.F/P.IVA 91451720378
Finanziato dal Piano Nazionale di Ripresa e Resilienza (PNRR), Missione 4 (Infrastruttura e ricerca), Componente 2 (Dalla Ricerca all’Impresa), Investimento 1.3 (Partnership Estese), Tematica 9 (Sostenibilità economica e finanziaria di sistemi e territori).



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This paper studies the relationship between the territorial endowment of school infrastructure and services in Italy and the performance of high school students, expressed by the Invalsi scores for the second year of high school, by means of spatial modelling. We fit a multilevel Bayesian regression model with a latent spatial effect modelled as a conditional autoregressive (CAR) process. Since the Invalsi scores regard two subjects (Italian and Mathematics) we fit a bivariate model, in which the relationship between the two subjects is accounted for by the random effect. The computation follows the method of the Integrated Nested Laplace Approximation (INLA), implemented in the R-INLA software.
AKNOWLEDGEMENTS
This study was funded by the European Union - NextGenerationEU, in the framework of the GRINS - Growing Resilient, INclusive and Sustainable project (GRINS PE00000018). The views and opinions expressed are solely those of the authors and do not necessarily reflect those of the European Union, nor can the European Union be held responsible for them.
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