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Exploratory Factor Analysis

PCA (Principal Component Analysis) is a dimension reduction technique which enables to obtain a synthetic description of a set of quantitative variables. It produces latent variables called principal components (or factors) which are linear combinations of the original variables. The number of useful components is much lower than to the number of original variables because these last ones are (more or less) correlated. PCA enables also to reveal the internal structure of the data because the components are constructed in a manner as to explain optimally the variance of the data. PFA (Principal Factor Analysis)  is often confused with PCA. There has been significant controversy about the equivalence or otherwise of the two techniques. One of the point of view which enables to distinguish them is to consider that the factors from the PCA account the maximal amount of variance of the available variables, while those from PFA account only the common variance in the data. The latter seems m