In studies involving matrix sampling on items, it is often the case that there are too few responses per individual to use latent trait item response models. A model is formulated wherein individual level variability appears as independent error within the cells of a cross classification of demographic variables. (JKS)

Recent work in factor analysis of categorical variables is reviewed, emphasizing a generalized least squares solution and a maximum likelihood approach. A common factor model for dichotomous items is introduced, and the estimation of factor loadings from matrices of tetracorrelations is discussed. (LMO)

Reports on Commonwealth Scientific and Industrial Research Organization (Australia) efforts to establish library staffing standards by use of statistics on current library operations and comparison of figures for number of libraries. Research methodology, use of mathematical models, factor analysis and regression analysis, and measures of…

In this paper, we address mathematics education in rural contexts from a critical pedagogical perspective. We imagine our audience to be mathematics educators and rural educators who may not have background knowledge of critical pedagogy. We also confess that we are mathematics educators first, with interests in critical pedagogy and rural…

Uses data from national and California surveys of high school students to test a model of optimal school size that includes school costs and inputs, student achievement, and family characteristics. Finds that the data support the model and imply sizeable urban-rural differences in schooling costs. (Author/RW)

Outlines a model to aid in the empirical estimation and interpretation of the patterns of variation in school personnel salaries across school districts and shows how this analysis could be used to develop indexes of personnel costs. (Author/JM)

The relationship of teachers' allocation of time to individual student achievement was studied. It was concluded that teachers prefer to increase students' average achievement rather than to decrease the variance in achievement within the classroom. (MH)

Discusses the design of a model-based management information system in terms of mathematical/statistical, information processing, and human factors issues and presents a prototype system for interlibrary loan networks. (Author/CWM)

Describes class exercises where undergraduates construct and test mathematical models using data and issues related to social security. The students collect data and forecast economic and demographic variables that determine future tax rates. They then discuss government policies that are derived from their models. (MJP)

Describes the use of Mathcad, an interactive software package that responds to mathematical input, in an undergraduate economics class. Mathcad uses a rules-based programming language that "reads" the relationships among variables and constraints defined by the user, solves for unknowns, and graphs for one or more equations. (MJP)

Maintains that most economics textbooks continue to repeat past mistakes concerning returns to scale and economies of scale under assumptions of constant and nonconstant input prices. Provides an adaptation for a calculus-based intermediate microeconomics class that demonstrates the pointwise relationship between returns to scale and economies of…

A stochastic multidimensional unfolding (MDU) procedure is presented to represent individual differences in phased or sequential decision processes spatially. A Monte Carlo analysis demonstrates estimation proficiency and the appropriateness of the proposed model selection heuristic, and an application to capture awareness, consideration, and…

Describes five basic concepts, such as displacement, velocity, momentum, force, and moment of force. Discusses an experimental model to improve the intuitive understanding of acceleration in a straight line and a non-linear situation. (YP)

Discusses the global change of climate. Presents the trend of climate change with graphs. Describes mathematical climate models including expressions for the interacting components of the ocean-atmosphere system and equations representing the basic physical laws governing their behavior. Provides three possible responses on the change. (YP)

Presents a device to illustrate the concepts of entropy of mixing and the contribution of one term in the Gibb's equation. Notes the device is relatively easy to construct and provides a visual demonstration on diffusion. (MVL)