Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

Submit Article

PROPOSAL OF THE DUAL MULTIPLE CO-INERTIA ANALYSIS (DMCOA)

Authors

  • Lavie Phanie Moulogho Issayaba
  • Léonard Niere
  • Bernédy Nel Messie Kodia Banzouzi
  • Gabriel Kissita

Keywords:

dual co-inertia analysis, dual STATIS, multiple co-inertia analysis, vertical multi-table.

DOI:

https://doi.org/10.17654/0972361722009

Abstract

In this paper, we propose the dual multiple co-inertia analysis (DMCOA), a dual extension of the multiple co-inertia analysis (MCOA). This new method of data analysis is applicable when the same set of variables is measured on several groups of individuals. The aim is to study the common structure of these variables on the groups of individuals. An application is made to the data of the characteristics of German car brands. We present an analysis in which we compare the results obtained from DMCOA method and those from DSTATIS method.

Received: November 3, 2021
Accepted: January 7, 2022

References

J. D. Carroll, A generalization of canonical correlation analysis to three or more sets of variables, Proceedings of the 76th Convention of the American Psychological Association 3 (1968), 227-228.

P. H. Casin, L’analyse en composantes principales généralisée, Revue de Statistique Appliquée XLIV(3) (1996), 63-81.

P. Cazes, Quelques méthodes d’analyse factorielle d’une série de tableaux de données, Revue Modulad, Numéro 31 (2004), 1-31.

D. Chessel and P. Mercier, Couplage de triplets statistiques et liaisons espèces-environnement, Data Analysis and Informatics III, Diday, E. et Coll. (eds.) Elsevier, North-Holland, 1993, pp. 41-55.

D. Chessel and M. Hanafi, Analyse de la co-inertie de K-nuages de points, Revue de Statistique Appliquée 44 (1996), 35-60.

B. Escofier and J. Pagès, L’analyse factorielle multiple: une méthode de comparaison de groupes de variables, Data Analysis and Informatics III, Diday, E et Coll. (eds.) Elsevier, North-Holland, 1984, pp. 41-55.

H. Hotelling, Relations between two sets of variates, Biometrika 28 (1936), 321 377.

G. Kissita, L. P. Moulogho Issayaba, R. A. Makany and D. Mizere, Proposal of analyses: DCA, DCIA, DGCA and DGPCA, Applied Mathematical Sciences 11(18) (2017), 859-886.

W. J. Krzanowski, Principal component analysis in presence of group structure, Applied Statistics 33(2) (1984), 164-168.

R. Lafosse and M. Hanafi, Concordance d’un tableau avec K tableaux: définition de uplés synthétiques, Revue de Statistique Appliquée 45(4) (1997), 111 126.

C. H. Lavit, Analyse conjointe de tableaux quantitaifs, Masson, Paris, 1988.

Lè Sébastien, F. Husson and J. Pagès, Dmfa: Dual multiple factor analysis, Communication in Statistics-Theory and Methods 39(3) (2010), 483-492.

H. L’Hermier des plantes, Structuration des tableaux à trois indices de la statistique, Thèse de 3ème cycle, Université de Montpellier, France, 1976.

L. R. Tucker, An inter-battery method of factor analysis, Psychometrika 23 (1958), 111-136.

M. Vivien, Approches PLS linéaires et non linéaires pour la modélisation de multi-tableaux, Théories et applications, Thèse, Université de Montpellier I, France, 2002.

Published

24-09-2025

Issue

Section

Articles

How to Cite

PROPOSAL OF THE DUAL MULTIPLE CO-INERTIA ANALYSIS (DMCOA). (2025). Advances and Applications in Statistics , 73, 17-46. https://doi.org/10.17654/0972361722009

Similar Articles

1-10 of 165

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)