It is shown that Trueswell's empirical 80/20 rule arises from type of stochastic model for library loans presented by Burrell and Cane. Particular attention is paid to previously suggested uses of rule in identifying "core collection" for library noting that length of time period is of crucial importance. (20 references) (EJS)

Empirical estimates of production frontiers and average production functions performed for selected public elementary school districts in California support the hypothesis of an optimal school size model. Some policy implications of the results are briefly analyzed. Appended are 16 references. (MLF)

Examines relationships among the parameters of the Zipf size-frequency distribution as well as its sampling properties. Highlights include its importance in bibliometrics, tables for the sampling distribution of the maximal value of a finite Zipf distribution, and an approximation formula for confidence intervals. (Author/LRW)

The Generalized Inverse Gaussian-Poisson Distribution is suggested as an all-embracing mathematical model for bibliometric frequency distributions. Twelve examples are given which show that the new model cannot be rejected by virtue of an objective chi-squared test. A mathematical appendix and 20 references are included. (Author/EJS)

Describes the two basic approaches to the calculation of term discrimination values for automatic indexing. The results of an experiment that investigated the differences between algorithms of these two approaches in terms of their impact on the discrimination value model are reported and discussed. (13 references) (Author/CLB)

Review of recent developments in statistical theories for social sciences highlights Haitun's statistical distributions, Laplace's "Law of Succession" and distribution, Laplace and Bradford analysis of book-index data, inefficiency of frequency distribution analysis, Laws of Bradford and Zipf, natural categorization, and Bradford Law and…

Data from the 1970 Brazilian Census are used to explore the effects of parents' investments in their children's education on the pattern of future income distribution and on the intergenerational transmission of inequality, using a simulation model. Appended are 21 references. (Author)

This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…

This study estimates the proportion of academic and public library acquisitions in the United Kingdom for which a UK MARC record is available at the time of cataloging. A beta-binomial model is used to attribute standard errors to each estimate and to compare differences between the two types of libraries. (Author/LRW)

Explores alternative measures--Ph.D.s produced by the institution, number of faculty, number of interlibrary loans, number of publications attributable to the institution--to be used to test applicability to research libraries of the Cobb-Douglas production function, which relates three variables--production, labor, and capital investment.…

Two models of library circulation, the Markov model and the mixed Poisson Model, are applied to circulation statistics from the University of Saskatchewan. Goodness-of-fit tests indicate that neither model fits the data; in both cases, the set of noncirculating items is larger than that predicted by the model. (Author/LRW)

This study introduced a probabilistic model utilizing item response theory (IRT) for dealing with a variety of misconceptions. The model can be used for evaluating the transition behavior of error types, advancement of learning stages, or the stability and persistence of particular misconceptions. Moreover, it apparently can be used for relating…

Proposes approach to integrating Boolean and statistical systems where Boolean queries are interpreted as a means of specifying term dependencies in relevant set of documents. Highlights include series of retrieval experiments designed to test retrieval strategy based on term dependence model and relation of results to other work. (18 references)…

Research analyzing demand for librarians in public, school, academic, special libraries, and in nonlibrary information professions, indicates that from 1983 to 1990, there will be almost no additional positions in traditional areas. Replacement of librarians will generate 9,500 to 10,000 new jobs per year. Footnotes and 114 references are…

Applies an economic model of occupational supply to librarianship to develop models that explain determination of number of accredited M.L.S. graduates and their starting salaries. Models are used to project graduates and salaries through 1990, then extended to project additions to supply of librarians from all sources. (36 references) (EJS)