Fisher Discriminant Analysis and Factor Analysis

Authors:
Giacomo Della Riccia;Alexander Shapiro
Affiliations:
Ben-Gurion University of the Negev, Beer-Sheva, Israel/ Istituto di Matematica, Universita di Udine, 33100 Udine, Italy.;Ben-Gurion University of the Negev, Beer-Sheva, Israel/ Department of Statistics and Operations Research, University of South Africa, 0001 Pretoria, South Africa.
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1983

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Abstract

We show that information on the inherent structure of multidimensional data derived from a factor analysis procedure is equivalent to information obtained by Fisher discriminant analysis techniques, provided certain conditions, usually required in the factor analysis model, are satisfied. The results advocate the use of a factor analysis approach when Fisher discriminant analysis is not applicable, such as, for instance, in clustering problems.