A comparison of four procedures for estimating common factor measurements was made using artificially synthesized "data" matrices. Score estimates were compared with respect to how well they approximated associated true factor scores and the extent of shrinkage in double cross-validation based on random samples. The Horst (1965), Bartlett (1937),…

The usefulness of the sets of cases developed in a previous technical report are examined as potential tests of leadership. Each set of cases generates, from a single subject, a number of scores which can be logically derived and which have substantial face validity. The intercorrelations among the scores, their split half reliability, and the…

Two computer subroutine packages for the analytic rotation of a factor matrix, A(p x m), are described. The first program uses the Flectcher (1970) gradient method, and the second uses the Polak-Ribiere (Polak, 1971) gradient method. The calculations in both programs involve the optimization of a function of free parameters. The result is a…

The formulas which give the standard errors of factor loading estimates while available and computable are complicated, and our understanding of them is limited. A nontechnical description of their behavior under favorable and unfavorable conditions is given. Of particular interest is their behavior in the presence of singularities arising from…

Three procedures, alpha, image, and uniqueness rescaling, were applied to a joint occurrence probability matrix. That matrix was the basis of a well-known latent class structure. The values of the recurring subscript elements were varied as follows: Case 1 - The known elements were input; Case 2 - The upper bounds to the recurring subscript…

The objectives of this study were twofold: (1) to empirically identify and analyze trained and untrained observers' affective responses to a representative collection of paintings for the purpose of constructing art differential instruments, and (2) to use these instruments to objectively identify and evaluate the major affective factors and…

To study the applicability of simple structure logic for factorial data from scientific disciplines outside psychology, four correlation matrices from each of six scientific areas were factor analyzed by five factoring methods. Resulting factor matrices were compared on two objective criteria of simple structure before and after rotation.…

In this methodological paper two indices are developed: a complexity index and an interpretation index. The complexity index is a positive number indicating on the average how many factors are used to explain each variable in a factor solution. The interpretation index will be positive ranging from zero to unity; unity representing a perfect…

In a manner similar to that used in the orthogonal case, formulas for the asymptotic standard errors of analytically rotated oblique factor loading estimates are obtained. This is done by finding expressions for the partial derivatives of an oblique rotation algorithm and using previously derived results for unrotated loadings. These include the…

A series of eleven concepts, eight of which were presented in a teacher training course, were rated by 252 undergraduate education majors on 15 semantic differential scales at the beginning and end of the course in an attempt to assess changes in the factor structure of semantic space and changes in the connotative meanings of the concepts. Scales…

The coefficient of precision type of reliability originally defined for scalar variables is generalized to vector variables and named vector reliability. The new coefficient ranges from zero to one. Additional basic properties of vector reliability are derived. Vector information is defined as a simple function of vector reliability. A number of…

To provide a further test of the paired-associate analogy to retroactive inhibition in free recall, this experiment investigated the effect of presenting both original learning (OL) and interpolated learning (IL) in either blocked category (B) or random (R) fashion. IL-OL Similar (S), IL-OL Different (D), and control (C) conditions were included.…

The applicability of the Analysis of Variance, ANOVA, procedures to the analysis of dichotomous repeated measure data is described. The design models for which data were simulated in this investigation were chosen to represent simple cases of two experimental situations: situation one, in which subjects' responses to a single randomly selected set…

TO DEVELOP A BETTER MATHEMATICAL BASIS FOR FACTOR ANALYSIS, A MATHEMATICAL APPROACH WAS FORMULATED FOR FIXING COMMUNALITIES AND THEIR COMPLEMENTS, UNIQUENESSES, AS WELL. WHILE THE INVESTIGATOR WAS UNABLE TO PROVE THAT MINIMUM-TRACE CRITERIA FIX COMMUNALITIES UNIQUELY, A SET OF IDENTITIES AND INEQUALITIES WAS LOCATED AMONG THE COMMUNALITIES AND,…

THE NATURE OF THE INTERACTING RELATIONSHIP BETWEEN PERSONALITY CHARACTERISTICS OF COLLEGE STUDENTS AND ENVIRONMENTAL CHARACTERISTICS OF THE INSTITUTIONS THEY ATTEND WAS EXPLORED. STUDENT PERSONALITY WAS MEASURED FOR SAMPLES FROM 55 COLLEGES AND UNIVERSITIES BY THE ACTIVITIES INDEX, AN INSTRUMENT DESIGNED TO MEASURE PERSONALITY NEEDS. PRESS,…