The problem of the proper dimension of a Multiple Correspondence Analysis (MCA) is discussed, based on both the re-evaluation of the explained inertia sensu Benzécri (1979) and Greenacre (2006) and a test proposed by Ben Ammou and Saporta (1998). This leads to the consideration of a better reconstruction of the off-diagonal sub-tables of the Burt’s table crossing the nominal characters taken into the account. Thus, Greenacre (1988) Joint Correspondence Analysis (JCA) is introduced and the results obtained on two applications are shown. The quality of reconstruction of both MCA and JCA solutions are compared to the Simple Correspondence Analysis results of the two-way tables. It results that JCA’s reduced-dimensional reconstruction is much better than the MCA’s one, that reveals highly biased and non-monotonous.

Multiple and Joint Correspondence Analysis: Testing the True Dimension of a Study / Camiz, Sergio; G. C., Gomes. - In: LA REVUE MODULAD. - ISSN 1769-7387. - ELETTRONICO. - 44:(2013), pp. 1-21.

Multiple and Joint Correspondence Analysis: Testing the True Dimension of a Study

CAMIZ, Sergio;
2013

Abstract

The problem of the proper dimension of a Multiple Correspondence Analysis (MCA) is discussed, based on both the re-evaluation of the explained inertia sensu Benzécri (1979) and Greenacre (2006) and a test proposed by Ben Ammou and Saporta (1998). This leads to the consideration of a better reconstruction of the off-diagonal sub-tables of the Burt’s table crossing the nominal characters taken into the account. Thus, Greenacre (1988) Joint Correspondence Analysis (JCA) is introduced and the results obtained on two applications are shown. The quality of reconstruction of both MCA and JCA solutions are compared to the Simple Correspondence Analysis results of the two-way tables. It results that JCA’s reduced-dimensional reconstruction is much better than the MCA’s one, that reveals highly biased and non-monotonous.
2013
Correspondence Analysis; Multiple Correspondence Analysis; Joint Correspondence Analysis
01 Pubblicazione su rivista::01a Articolo in rivista
Multiple and Joint Correspondence Analysis: Testing the True Dimension of a Study / Camiz, Sergio; G. C., Gomes. - In: LA REVUE MODULAD. - ISSN 1769-7387. - ELETTRONICO. - 44:(2013), pp. 1-21.
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

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/11573/550483
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact