Five techniques that combine the ideals of rotation of matrices of factor loadings to optimal agreement and rotation to simple structure are compared on the basis of empirical and contrived data. Combining a generalized Procrustes analysis with Varimax on the main of the matched loading matrices performed well on all criteria. (SLD)

The Cloutterbuck Minimum Data Matrix is designed to generate a base of consumer information for critical analysis and synthesis to produce health care outcomes. The interdisciplinary teaching tool helps students recognize the diversity of health care consumers. (SK)

Developed a structural analysis of 3 spatial diagrams (matrices, networks, and hierarchies) that specifies 10 properties on which these diagrammatic representations are hypothesized to differ. Coded verbal protocols of 23 college students about these representations. Results suggest that the organization of students knowledge is consistent with…

Clarifies the basic terminology of needs analysis, proposes a framework for conducting needs analyses, and discusses trends and issues in needs analysis as they apply to improving performance in organizations. Topics include needs; needs assessment; needs analysis; training requirements analysis; needs analysis plan; perception analysis, including…

Discusses the career matrix, a spreadsheet that identifies all the functions in an organization (horizontally) and the different levels of responsibility (vertically). Describes how technology teachers can develop their own matrix and use it for career awareness and planning with secondary students.(JOW)

The aim of this paper is to propose a synthetic approach to the transfer matrix method in classical and quantum physics. This method is an efficient tool to deal with complicated physical systems of practical importance in geometrical light or charged particle optics, classical electronics, mechanics, electromagnetics and quantum physics. Teaching…

The main aim of this study is to integrate cooperative learning strategies, mastery learning and interactive multimedia to improve students' performance in Mathematics, specifically in the topic of matrices. It involved a quasi-experimental design with gain scores and time-on-task as dependent variables. The independent variables were three…

The study of confusion data is a well established practice in psychology. Although many types of analytical approaches for confusion data are available, among the most common methods are the extraction of 1 or more subsets of stimuli, the partitioning of the complete stimulus set into distinct groups, and the ordering of the stimulus set. Although…

We use the sum property for determinants of matrices to give a three-stage proof of an identity involving Fibonacci numbers. Cassini's and d'Ocagne's Fibonacci identities are obtained at the ends of stages one and two, respectively. Catalan's Fibonacci identity is also a special case.

Meta-analytic structural equation modeling (MA-SEM) is increasingly being used to assess model-fit for variables' interrelations synthesized across studies. MA-SEM researchers have analyzed synthesized correlation matrices using structural equation modeling (SEM) estimation that is designed for covariance matrices. This can produce incorrect…

A novel and simple formula for computing the matrix exponential function is presented. Specifically, it can be used to derive explicit formulas for the matrix exponential of a general matrix A satisfying p(A) = 0 for a polynomial p(s). It is ready for use in a classroom and suitable for both hand as well as symbolic computation.

This paper evaluated multidimensional linking procedures with which multidimensional test data from two separate calibrations were put on a common scale. Data were simulated with known ability distributions varying on two factors which made linking necessary: mean vector differences and variance-covariance (v-c) matrix differences. After the…

A probability distribution was developed for the Andrews-Pregibon (AP) statistic. The statistic, developed by D. F. Andrews and D. Pregibon (1978), identifies multivariate outliers. It is a ratio of the determinant of the data matrix with an observation deleted to the determinant of the entire data matrix. Although the AP statistic has been used…

Complete paired comparisons data was obtained by use of multiple rank order (MRO) in the context of gathering rank order preferences of grade six students, their parents, and teachers for instructional objectives. Partially balanced incomplete block designs with two associate classes were used in the MRO instruments instead of the usual balanced…

The problem of combining information to estimate standardized partial regression coefficients in a linear model is considered. A combined estimate obtained from the pooled correlation matrix is proposed, and its large sample distribution is obtained. This estimate can be generalized to address situations in which not every study measures every…