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,…

Models proposed by Cleary, Thorndike, Cole, Einhorn and Bass, and Darlington for analyzing bias in the use of tests in a selection strategy are surveyed. Six additional models for test bias are also introduced. The purpose is to describe, compare, contrast, and evaluate these models while, at the same time, extracting such useful ideas as may be…

A model for fractions derived by an operation of "scattering into subunits" is hypothesized. Five stages in the model are discussed. Assumptions underlying the development of the model, features of the model, and disadvantages of the model are listed. (DT)

Argues that conventional dynamic modeling techniques divert attention from the importance of model structure and discusses various methods of system representation that are suitable for the analysis and improvement of model structure. (Available from IPC (America) Inc., 205 East 42 Street, New York, NY 10017; $46.80 annually.) (Author/JG)

Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)

Mathematicians can help their institutions plan for the future by development and use of models for enrollment patterns. (SD)

A general statistical model for the multivariate analysis of mean and covariance structures is described. Matrix calculus is used to develop the statistical aspects of one new special case in detail. This special case separates the confounding of principal components and factor analysis. (DEP)

(Available from North-Holland Publishing Company, P.O. Box 211, Amsterdam, the Netherlands; $21.00 annually, plus $4.00 postage)

Discusses the use of quadratic programming to calculate the optimal distribution of educational investments required to closely approach manpower targets when financial resources are insufficient to meet manpower targets completely. Demonstrates use of the quadratic programming approach by applying it to the training of supervisory technicians in…

A procedure for estimating the reliability of a factorially complex composite is considered. An application of its use with Scholastic Aptitude Test data is provided. (Author/JKS)

The Cartesian theory of dimensionality (defined in terms of geometric distances between points in the test space) and Leibnitzian theory (defined in terms of order-generative connected, transitive, and asymmetric relations) are contrasted in terms of the difference between a factor analysis and an order analysis of the same data. (Author/CTM)

Two sets of five items each from the Law School Admission Test were analyzed by two methods of factor analysis, and by the Krus-Bart ordering theoretic method of multidimensional scaling. The results indicated a conceptual gap between latent trait theoretic procedures and order theoretic procedures. (Author/CTM)

An approximate method is developed for elastic scattering at large angle in the framework of classical mechanics. A simple formula for differential cross-section is obtained. (Author/BB)

Models relating individual and group problem solving solution times under the condition of limited time (time limit censoring) are presented. Maximum likelihood estimation of parameters and a goodness of fit test are presented. (Author/JKS)

Three dimensional contingency tables in which one variable is considered to be a factor and the other two variables have a natural relationship (such as left and right eye vision) are analyzed. Models involving symmetry and proportional symmetry between the related variables are also presented. (Author/JKS)