Provides normative data about the distribution of one measure of similarity of factor loadings, the congruence coefficient, through a Monte Carlo Technique. Matching of "chance" factor patterns was done by the method of Tucker. Statistical tests of the results, based on similarities of the method to canonical and multiple correlation,…

Suggests a way of using factor analytic techniques to supplement multidimensional scaling in such a way as to provide a firm basis for evaluating multidimensional representations. (Author/RC)

Maximum likelihood estimates of the free parameters, and an asymptotic likelihood-ratio test, are given for the hypothesis that one or more elements of a covariance matric are zero, and/or that two or more of its elements are equal. (Author/RC)

To assess the effect on discriminant analysis in terms of correct classification into two groups, the following parameters were systematically altered using Monte Carlo techniques: sample sizes; proportions of one group to the other; number of independent variables; and covariance matrices. The pairing of the off diagonals (or covariances) with…

A study was undertaken to assess the relationship between the DMI Mathematics Systems Objective Inventory (DMIMS) and the National Assessment of Educational Progress (NAEP) content by process matrix prepared for the Fourth Assessment of Mathematics. The DMIMS is a criterion-referenced standardized test comprised of seven levels, and it can be used…

To penetrate the growing complexity of theoretical perspectives and research methodologies surrounding organizational behavior, this paper introduces the ABC Matrix. This conceptual framework clarifies complex, repetitive organizational behavior by grouping behaviors (avoidance, buffering, and confronting) into readily understood categories.…

A graphical method is proposed which allows one to visualize a real matrix and its inverse. In this scheme, various special properties of the matrix are easily recognized. Up to 5x5 matrices can be graphed on an average page if the range of values does not exceed two orders of magnitude. (Author/LS)

Describes a set of five programs providing robust techniques that work well when the assumption of conventional analysis of variance have been violated. (Author/RC)

A simple method of monotone regression is described based on the principle of minimizing pairwise departures from monotonicity. (Author)

Two distinct approaches, one based on item response theory and the other based on observed item responses and standard summary statistics, have been proposed to identify unusual response patterns. A link between these two approaches is provided by showing certain correspondences between Sato's S-P Curve Theory and item response theory. This link…

Investigated empirically through post mortem item-examinee sampling was the feasibility of the jackknife as a procedure for approximating standard errors of estimate in multiple matrix sampling. The parameters estimated were the mean test score, second through fourth central moments of the test score distribution, and the variance of the item…

A canonical technique is explored that permits assessment to which origin positions determine destination positions within occupational structures. This procedure requires expressing the occupational positions as binary variables, then obtaining canonical correlations among the sets of binary variables. The association between origin and…

Gradient methods are employed in orthogonal oblique analytic rotation. Constraints are imposed on the elements of the transformation matrix by means of reparameterisations. (Author)