A desirable property of the equamax criterion for analytic rotation in factor analysis is presented. (Author)

The Dutch Identity is a useful way to reexpress the basic equations of item response theory (IRT) that relate the manifest probabilities to the item response functions (IRFs) and the latent trait distribution. The identity may be exploited in several ways. For example: (1) to show how IRT models behave for large numbers of items--they are…

Distributional characteristics of the measure of sampling adequacy (MSA) were investigated in sample correlation matrices generated from multivariate normal populations with covariance matrix equal to the identity. Systematic variation of sample size and number of variables resulted in minimal fluctuation of the overall MSA from .50. (Author/RC)

Investigates the relation between factor score estimates, principal component scores, and image scores. The three methods compared are maximum likelihood factor analysis, principal component analysis, and a variant of rescaled image analysis. (RC)

A Fortran IV program is presented which will cross-correlate least squares estimated factor scores across separately factor analyzed variable domains without the tedious necessity of actually calculating the factor scores. (RC)

TMFA, a FORTRAN program for three-mode factor analysis and individual-differences multidimensional scaling, is described. Program features include a variety of input options, extensive preprocessing of input data, and several alternative methods of analysis. (Author)

Extension analysis allows for the investigation of relationships between factors from a core set of variables and the variables from an additional, extension set. This frequently results in obtaining negative residual variances, called Heywood cases. Procedures for checking for that problem are presented here. (Author/JKS)

A simpler and more complete version of Kaiser's method for finding a set of derived orthogonal variables which correlate maximally with a set of original variables is presented. The method is compared to related factor analytic transformations. (Author/JKS)

A scale-invariant simple structure function of previously studied function components for principal component analysis and factor analysis is defined. First and second partial derivatives are obtained, and Newton-Raphson iterations are utilized. The resulting solutions are locally optimal and subjectively pleasing. (Author/JKS)

A scale-invariant index of factorial simplicity is proposed as a summary statistic for principal components and factor analysis. The index ranges from zero to one, and attains its maximum when all variables are simple rather than factorially complex. (Author/JKS)

This paper develops a procedure for transforming an arbitrary set of component reference curves to a new set which are mutually orthogonal and, subject to orthogonality, are as smooth as possible in a well defined (least squares) sense. Potential applications to learning data, electrophysiological responses, and growth data are indicated.…

Reviews the factor analytic studies done on the 1981 Wechsler Adult Intelligence Scale-Revised (WAIS-R) standardization sample and various patient samples. Concludes that a three-factor solution appears to provide a source of hypotheses about an individual's or a select sample's unique abilities and weaknesses worthy of further exploration.…