Recent mathematical descriptions of Bradford's distribution, and a new formulation that provides a more accurate estimation of the total number of papers and sources on a given scientific subject are presented. (Author/MBR)

The effects of variance heterogeneity on the empirical probability of a Type I error for the analysis of variance (ANOVA) F-test are examined. The rate of Type I error varies as a function of the degree of variance heterogeneity, and the ANOVA F-test is not always robust to variance heterogeneity when sample sizes are equal. (Author/JAC)

Principal components analysis is generalized to the case where any of the variables under consideration can be nominal, ordinal or interval. Hotelling's original formulation is seen to be a special case of this generalization. (JKS)

A simple roof is presented: that the squared multiple correlation of a variable with the remaining variables in the set of variables is a lower bound to the communality of that variable. (Author/JKS)

The use of interaction and non-linear terms in multiple regression poses problems for determining parsimonious models. Several computer programs for using these terms are discussed. (JKS)

Classification is a procedure through which individuals are classified as being members of a particular group based on a variety of independent variables. Two methods of makin such classifications are discussed; the quadratic method is seen to be superior to the linear under certain constraints. (JKS)

A method of determining core journals for any discipline, using data from the Journal Citation Reports to generate discipline impact factors, is described. (Author)

A Monte Carlo study was carried out to investigate the ability of the ALSCAL multidimensional scaling program to recover true structure inherent in simulated proximity data. The results under varying conditions were mixed. Practical implications and suggestions for further research are discussed. (Author/JKS)

A group of factor analytic rotation procedures are developed which yield both hyperplane fittings and oblique Procrustean analyses as special cases. It is generally supposed that these techniques are rather different in approach. Illustrations are presented and discussed. (Author/JKS)

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)