Chapter 6

Factors Common to Different Groups of Variables

Historically, the simultaneous analysis of several groups of variables focused on looking for factors common to these groups. This is the aim of canonical analysis, of which there are many variations. This chapter shows how this point of view is taken into account in multiple factor analysis (MFA) and how MFA can be considered as a specific canonical analysis. We begin by describing the objectives corresponding to this new perspective, in particular the notion of common factor.

6.1 Objectives

A major aspect of studying a table of individuals x variables lies in identifying relationships between variables. Thus, in the simple case of one group of quantitative variables, the correlation ...

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