By Spencer Bennett, David Bowers
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Extra resources for An Introduction to Multivariate Techniques for Social and Behavioural Sciences
On the other hand, it may be that in a particular field of enquiry, such a loss of parsimony is necessary for building a satisfactory theory about the interrelationships between the original variables. e. how they stand up in the face of independent evidence and how much light they throw on theoretical interpretations in a particular field of enquiry. 3 Higher- order factors The fact that correlation exists between oblique factors means that it is possible to carry out further factor analysis of the correlations between the factors and ex tract higher- order factors.
It attempts to maximise the variance of factor loadings for each factor. This method distributes the variance more equally than Quartimax, but excessively so, in that Rotation of Factors 35 if unimportant factors are not excluded before the rotation procedure, they will become important by having some of the variance distributed to them. Another method, proposed by Comrey  and known as the Tandem method, also distributes the variance more evenly but not so much as Varimax, and therefore unimportant factors are not so prone to have spurious significance attached to them; in fact, this method allows us to reject unimportant factors during the rotation procedure.
Nevertheless, as a first step in a relatively unexplored field, simplification and ease of interpretation are important first considerations. But as a field becomes better understood, the major considerations should be the testing of hypotheses and the agreement or disagreement with data from previous studies. 2 Oblique rotation In the body-size example, rotation,to approximate simple structure still hift variable 1 with significant loadings on two factors. Can we improve the approximation to simple structure at all?