TWO NEW APPROACHES TO FACTOR ANALYSIS
Annual technical rept.
INTERNATIONAL PUBLIC OPINION RESEARCH INC NEW YORK
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Mental ability tests, personality schedules and ratings, and attitude questionnaires were studied in a new approach to the problem of factor analysis called radex a radical expansion of complexity. Two distinct notions are involved a difference in kind between tests of the same degree of complexity circumplex and a difference in degree between tests of the same kind simplex. The hypothesis of linearity with its attendant monotonicity and single-valuedness is rejected in favor of polytonicity and multivaluedness. Indefinitely many common-factors are assumed to operate in a test battery these give rise under certain circumstances to orderly arrangements among test intercorrelations without any specific theory as to the nature of common-factors and without any calculations aimed at locating them. Two new computing techniques were devised quantiles and latent vectors. The latter resulted in the derivation of new techniques for computing with large-order matrices. Radex theory provides a new picture of the functional nature of the interrelationships among different abilities and traits the method is believed to be capable of better predictions with less tests than former techniques. The procedure which is used to test whether a given set of data forms a simplex is illustrated by an example, and lists of approximate simplexes and circumplexes are included. Considerations are discussed on results relative to a study of multivalued and polytone attitudinal interrelations.
- Statistics and Probability