Formulas are presented in this paper for computing scores associated with factors of G, the image covariance matrix, under three conditions. The subject of the paper is restricted to "pure" image analysis. (Author/NE)

The program may be used to obtain standard quartimax, varimax, or equamax solutions or any other orthomax solution. (DG)

Over the years, a number of rationales have been advanced to solve the problem of "blind" oblique factor transformation. By blind transformation is meant the transformation of orthogonal--and often interpretively ineffectual--factors to a position usually dictated by Thurstone's principles of simple structure, but not influenced by a…

A general formulation for obtaining conditionally unbiased, univocal common-factor score estimates that have maximum validity for the true orthogonal factor scores is presented. Other similar efforts described in the literature are discussed. (Author/JKS)

Examples are presented in which it is either necessary or desirable to transform two sets of orthogonal axes to simple structure positions by means of the same transformation matrix. A solution is outlined which represents a two-matrix extension of the general "orthomax" orthogonal rotation criterion. (Author/RC)

The epistemological status of factors--that is, components, common factors, and image factors--is briefly discussed. Implications for the number of factors problem of varying views of factor analysis and the particular factor analytic model employed are noted, and the rationales underlying the best known decision rules regarding the correct number…

Issues related to the decision of the number of factors to retain in factor analyses are identified. Three widely used decision rules--the Kaiser-Guttman (eigenvalue greater than one), scree, and likelihood ratio tests--are investigated using simulated data. Recommendations for use are made. (Author/JKS)

Four prominent oblique transformation techniques--promax, the Harris-Kaiser procedure, biquartimin, and direct oblimin--are examined and compared. Additionally, two newly developed procedures are presented and included in the comparisons. (Author/RC)

Five models are introduced for the factor analytic treatment of a set of measures obtained for the same sample of persons on two different occasions. The models differ in terms of the assumptions made regarding the constancy of the (1) factor (actually component) score and (2) factor pattern matrices from occasion 1 to 2. Least-squares procedures…

Four prominent oblique transformation techniques--biquartimin, direct oblimin, promax, and the Harris-Kaiser procedure--are described and compared as to optimality of solution. Additionally, two newly-developed procedures--falling into the category designated as Case III by Harris and Kaiser (1964)--are presented and included in the comparisons.…

A new general approach to the problem of oblique factor transformation is identified and presented as an alternative to the common "blind" transformation techniques currently available. In addition, techniques for implementing such an approach are developed. The first section of the paper contains a brief review of the procrustes problem. The next…