Provides an introduction to structural equation modelling (SEM) for language research, including: general objectives of SEM applications relevant to language assessment; methodology and statistical assumptions about data that must be met; commonly-used SEM steps and concepts; application matters, with sample models; and recent critical discussions…

Written by a social worker for social work students, this is a nuts and bolts guide to statistics that presents complex calculations and concepts in clear, easy-to-understand language. It includes numerous examples, data sets, and issues that students will encounter in social work practice. The first section introduces basic concepts and terms to…

This article presents a model for the motion of a long-cane executing the touch technique and presents formulas for the projected length of a cane adequate to protect an individual with blindness against wall-type and pole-type hazards. The paper concludes that the long-cane should reach from the floor to the user's armpit. (JDD)

In the direction-dependent approach to location modeling developed herein, the distance within which a point of demand can find service from a facility depends on direction of measurement. The utility of the approach is illustrated through an application to groundwater remediation. (Author/MDH)

This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and…

Direct and indirect effects in decomposed zero-order correlations among variables in causal models are considered. Under certain circumstances, the components of the decompositions could be interpreted as direct, indirect, and spurious causal effects, plus a component called joint associations. The sum of the direct and indirect effects is the…

In all latent trait models there is an equation which describes the probabilistic outcome of the interaction of a person with a known ability and an item with a known difficulty. This modeled outcome can be compared to the observed outcome, and the residuals can be summed over the items to assess the fit of the person to the model. Various…

The norm-referenced score scale used by the National Foundation for Educational Research (NFER) is described. The usefulness of standardized scores is explained by a simple numerical example, and the formulas and computations are shown for calculating a mean, a standard deviation, and a deviation or z score. The need for a representative sample is…

Examines the problem of aging of books in university libraries and presents a mathematical model of the aging process. Indexes for the aging time limit, over-age book rate, and aging rate are suggested; use of the mean unit price is considered; and countermeasures for control of the aging process are proposed. (four references) (MES)

Discussion of guaranteed college tuition programs first explores their origins and reasons for continuing high inflation rates for tuition. The relationship between tuition increase and enrollment is examined, and many current guaranteed tuition plans are reviewed. Basic considerations in developing a model for a multiyear plan are outlined and a…

Introduces a method of examining college enrollment patterns that is unlike the traditional cohort models currently used. The student flow matrix model can track student retention and attrition within the institution, and can also help the administrator identify key relationships between and among specific student-flow characteristics. (MSE)

Presents two statistical topics and examples of their use in natural resource monitoring. The first topic deals with use of correlated observations in calculations of variance estimates for a regional mean, required sample size determination, and confidence intervals. The second topic concerns the use of Bayesian techniques in hypothesis testing.…

The Teacher Load Index, a simplified method of comparing the teaching load of individuals in the California junior and community colleges, is presented in this report. First, the load measurement problem is addressed, revealing the inadequacies of the Credit Unit and the Weekly Student Contact Hour systems for measuring teacher load. Then, a…

This report examines New York State's experience with multi-element formulas in budgeting for the State University of New York, and considers some of the obstacles confronting scientific budgeting in a political environment. A specific budgeting formula (the Academic Discipline Model) is examined, its evolution and application discussed, and the…

As tuition charges increase and more students are eligible for financial aid, colleges must develop a concrete strategy to manage financial aid resources. Mechanisms to help financial aid officers effectively utilize aid resources in enrolling students are discussed. Mathematical formulas and calculations are included. (Author/JMD)