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In spite of the great development of factor analysis during the past half century and the elegance and sophistication of some of the present day methods, a number of basic problems have defied unequivocal solutions. Among these is the problem of a reliable test for completeness of factor extraction. A great variety of such tests has been proposed and a number of these have gained acceptance among factor analysts, mainly by virtue of yielding reasonable results rather than by possessing a sound statistical basis. These methods and their rationale have been reviewed in a recent summary (2) and it is therefore not necessary to discuss them in detail here.
Robert R. Sokal (Thu,) studied this question.