Uses time-series analysis to study effects of changes in tuition and other factors on enrollment at U.S. private colleges and universities. Argues that enrollment demand function should be expressed in a dynamic model. Actual enrollment adjusts to the desired enrollment very slowly; tuition and other related costs significantly affect enrollment…

Using the item response model as developed on the multinomial distribution, asymptotic variances are obtained for residuals with response patterns and first- and second-order marginal frequencies of manifest variables. A limited-information test of fit is developed by using residuals defined for the first- and second-order marginals. (Author/SLD)

A didactic example is presented of the application of new developments in structural equation modeling that allow for the modeling of multilevel data. The method, a synthesis of methods developed by B. Muthen, is applied to the problem of validating indicators of science education quality in the United States. (SLD)

Points out the importance of an understanding of a sense of scale and presents an activity that uses distance or time as a measure. The activity illustrates for students what the universe would look like at various scales. (DDR)

Derives two sufficient conditions for a finitely generated Lie algebra to have the nilpotent hypercenter. Presents a relatively large class of generalized soluble Lie algebras. Proves that if a finitely generated Lie algebra has a nilpotent maximal subalgebra, the Fitting radical is nilpotent. (DDR)

Used software environment to examine algebra students' attempts to reformulate narratives using verbal and iconic lexical sets. Described how natural language text turns into a script of events and processes, how the qualitative graphic description of the script is sketched using iconic notations, and how the graph turns into a subject for…

Compares secondary and junior schools' influence on (British) 16 year-olds' performance on the General Certificate in Secondary Education examination. Presents a mathematical model to explain performance variations, using a cohort of 758 students in 48 junior schools and 116 secondary schools. There is a strong continuity of junior school effects…

Combines the concept of self-worth in sociology and educational psychology with economic modeling to analyze the influence of competition on student learning. Finds, for example, that students prone to negative self-worth are motivated not to study hard in courses involving strong competition, thereby adopting a strategy of winning by not losing.…

Presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty. Reviews clinical medical practice and theoretical and empirical literature in mathematics education and radiology to develop and pilot model integrative classroom topics and activities. Suggests mathematical applications in numeration and…

Proposes a mixture item response model for investigating individual differences in the selection of response categories in multiple choice items. A real data example illustrates how the model can be used to distinguish examinees disproportionately attracted to different types of distractors, and a simulation study evaluates item parameter recovery…

Uses 1995 Italian household income and wealth survey to measure individual absolute risk aversion of 1,583 married Italian male household heads. Uses this measure as an instrument for attained education in a standard-log earnings equation. Finds that the IV estimate of the marginal return to schooling is much higher than the ordinary least squares…

Reviews selected research on the performance of bibliographic and full-text databases. A mathematical model for clarification of the relationship between user behavior and the performance measures of recall and precision is presented. (five references) (MES)

Describes a new signature file method, called the multiorganizational scheme, for accessing information from large databases containing both formatted and free-text data. Implementation issues are discussed, and computational results based on a mathematical model are presented, as well as results using a library database. (43 references) (MES)

The asymptotic sampling distributions (means and variances) are presented for the signed and unsigned estimates for the Rasch model, two-parameter model, and the three-parameter model with fixed lower asymptotes. Applications for item-bias research are discussed. (SLD)

A methodology for determining the optimal number of observations to use in a measurement design when resource constraints are imposed is presented. Two- and three-facet designs are outlined. Parallel closed form formulae can easily be determined for other designs. (TJH)