Multidimensional phenomena are often characterised by nested latent concepts ordered in a hierarchical structure, from the most specific to the most general ones. In this paper, we model a nonnegative data covariance matrix by extending the Ultrametric Correlation Model to covariance matrices. The proposal is a parsimonious model which identifies a partition of variables in a reduced number of groups, and the relationships among them via the ultrametric property. The proposed model is applied to investigate the relationships among the dimensions of the Teachers' Job Satisfaction in Italian secondary schools.

Cavicchia, C., Vichi, M., Zaccaria, G. (2021). The ultrametric covariance model for modelling teachers’ job satisfaction. In Book of short papers SIS 2021 (pp.1319-1324). Pearson.

The ultrametric covariance model for modelling teachers’ job satisfaction

Zaccaria, G
2021

Abstract

Multidimensional phenomena are often characterised by nested latent concepts ordered in a hierarchical structure, from the most specific to the most general ones. In this paper, we model a nonnegative data covariance matrix by extending the Ultrametric Correlation Model to covariance matrices. The proposal is a parsimonious model which identifies a partition of variables in a reduced number of groups, and the relationships among them via the ultrametric property. The proposed model is applied to investigate the relationships among the dimensions of the Teachers' Job Satisfaction in Italian secondary schools.
paper
Ultrametric matrices; Hierarchical structures; Teachers’ job satisfaction; Confirmatory analysis,; Dimensionality reduction
English
SIS 2021 - 50th Edition of the Scientific Meeting of the Italian Statistical Society
2021
Book of short papers SIS 2021
9788891927361
2021
1319
1324
open
Cavicchia, C., Vichi, M., Zaccaria, G. (2021). The ultrametric covariance model for modelling teachers’ job satisfaction. In Book of short papers SIS 2021 (pp.1319-1324). Pearson.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/394543
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