ABSTRACT

The simultaneous analysis of several groups of variables focused on looking for factors common to these groups. The simplest extension of the case of several groups is to look for a variable which is closely related to the groups of variables. The idea of looking for a function linked as closely as possible to a set of groups of variables was first introduced by J. D. Carroll in 1968, as a general-isation of canonical analysis. In the original canonical analysis, that of Hotelling, a canonical correlation coefficient measures the relationship between two canonical variables of the same rank. A major aspect of studying a table of individuals × variables lies in identifying relationships between variables. Thus, in the simple case of one group of quantitative variables, the correlation coefficients between the variables taken two by two are examined.