One of the most relevant problems in Principal Component Analysis and Factor Analysis is the interpretation of the components/factors. In this paper, Disjoint Principal Component Analysis model is extended in a maximum likelihood framework to allow for inference on the model parameters. A coordinate ascent algorithm is proposed to estimate the model parameters. The performance of the methodology is evaluated on simulated and real data sets.

Probabilistic Disjoint Principal Component Analysis / Ferrara, C., Martella, F., Vichi, M.. - In: MULTIVARIATE BEHAVIORAL RESEARCH. - ISSN 0027-3171. - STAMPA. - 54(1):(2019), pp. 47-61. [10.1080/00273171.2018.1485006]

Probabilistic Disjoint Principal Component Analysis

Ferrara Carla
;
Martella Francesca;Vichi Maurizio
2019

Abstract

One of the most relevant problems in Principal Component Analysis and Factor Analysis is the interpretation of the components/factors. In this paper, Disjoint Principal Component Analysis model is extended in a maximum likelihood framework to allow for inference on the model parameters. A coordinate ascent algorithm is proposed to estimate the model parameters. The performance of the methodology is evaluated on simulated and real data sets.
2019
probabilistic model; partition of variables; maximum likelihood estimation
01 Pubblicazione su rivista::01a Articolo in rivista
Probabilistic Disjoint Principal Component Analysis / Ferrara, C., Martella, F., Vichi, M.. - In: MULTIVARIATE BEHAVIORAL RESEARCH. - ISSN 0027-3171. - STAMPA. - 54(1):(2019), pp. 47-61. [10.1080/00273171.2018.1485006]
File allegati a questo prodotto
File Dimensione Formato  
Ferrara_Multivariate-behavioral-research_2018.pdf

solo gestori archivio

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 487.6 kB
Formato Adobe PDF
487.6 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1112999
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 6
social impact