Finding and interpreting lower bounds for reliability coefficients for tests with nonhomogenous items has been a problem for psychometricians. This paper presents a mathematical formula for finding the greatest lower bound for such a coefficient. (Author/JKS)

The meaning of an "application" of mathematics is examined and sample real-world mathematical problems are given. (DT)

The author discusses mathematics techniques for computing instantaneous velocities from data recorded via stroboscopic photography. (MJB)

A model to calculate the costs of automated cataloging systems based on cataloging copy in a system's data base is developed. The costs derived by the model for two systems, OCLC and BALLOTS, are compared to the costs of an existing manual system. (Author/KP)

The theory of fuzzy sets is used to provide a rigorous formulation of the problem of associative retrieval. This formulation suggests the idea of using fuzzy clustering to organize data for retrieval. (Author)

The performance of an interlibrary loan network is characterized by the probability of satisfying a request, delay in satisfying a request, total and unit costs, and processing load on each network member. In this article, a distributed queueing network is used to model this situation. (Author)

A semimathematical model for library circulation control. The application is intended to contribute to a more structured yet flexible approach to library circulation management. It includes provisions for circulation policy analysis and management, recording, and controlling of circulation transactions. (Author/KP)

Principal component analysis, image component analysis, and maximum likelihood factor analysis were compared to assess the effects of variable sampling. Results with respect to degree of saturation and average number of variables per factor were clear and dramatic. Differential effects on boundary cases and nonconvergence problems were also found.…

An algorithm for assessing the correspondence of one or more attribute rating variables to a symmetric matrix of dissimilarities is presented. It is useful as an alternative to fitting property variables into a multidimensional scaling space. The relation between the matrix and the variables is determined by evaluating pairs of pairs relations.…

The purpose of this study was to demonstrate a potential difficulty with relying on null models in LISREL confirmatory factor analytic measurement models and to offer several suggestions for dealing with this concern. Using randomly generated factors in a matrix of 46 aptitude tests, it was shown that this approach is unlikely to reject even…

This package contains four FORTRAN 77 programs for Markov Model based learning experiments. One program estimates the likelihood of a one-stage learning model, another delivers estimates for a two-stage learning model. The third and fourth were designed for hypothesis testing the parameter differences between and within experimental conditions,…

Presents Price's law, which states that half of the literature on a subject will be contributed by the square root of total number of authors publishing in that area, and assesses it against empirical evidence and simulated productivity distributions. The discussion covers this law's relation to Lotka's law and its empirical validity. (Author/CLB)

Supporting the use of separate analyses of measurement and structural portions of latent or mixed manifest and latent variable models, limited information (single equation) procedures are presented for estimating structural parameters. These procedures are recommended for testing specific causal hypotheses and locating specific structural model…

A FORTRAN 77 program is described that computes both the different response success-error patterns and their summary statistics for learning and forgetting in fixed trial experiments using a two-stage Markov model. (Author/GDC)

A complete package for Markov model-based fixed trial learning experiments contains four FORTRAN 77 programs. Two of the programs deliver likelihood and parameter estimates of one- and two-stage learning models, and two may be used for hypothesis testing of parameter differences between and within experimental conditions. (Author/GDC)