Critical to many science, technology, engineering, and mathematics (STEM) career paths is mathematical modeling--specifically, the creation and adaptation of mathematical models to solve problems in complex settings. Conventional standardized measures of mathematics achievement are not structured to directly assess this type of mathematical…

Smaller universities may produce research which is on a par with larger, elite establishments. This is confirmed by a recently developed mathematical model, supported by data from British and French higher education research-evaluation exercises. The detailed nature of the UK system, in particular, allows quantification of the notion of critical…

The solutions of the discrete logistic growth model based on a difference equation and the continuous logistic growth model based on a differential equation are compared and contrasted. The investigation is conducted using a dynamic interactive spreadsheet. (Contains 5 figures.)

Examines structural features of grade point averages (GPAs) and offers examples showing that GPAs cannot consistently determine class rank since class rank is sometimes permuted with arbitrary change of scale. Notes relativistic efforts to resolve inconsistencies are insufficient. Discusses the function of GPAs as predictors of academic…

A live tailored testing study was conducted to compare the results of using either the one-parameter logistic model or the three-parameter logistic model to measure the performance of college students on multiple choice vocabulary items. The results of the study showed the three-parameter tailored testing procedure to be superior to the…

Three types of test were compared: a completion test, a matching test, and a multiple-choice test. The completion test was more reliable than the matching test, and the matching test was more reliable than the multiple-choice test. (Author/BW)

The representation of multivariate data by icons is discussed. The factorial sun is suggested as superior to the commonly used snowflake or sun icons and as better representing the values of the different variables and their correlational structure. Two experiments with 60 college students demonstrate the factorial sun's superiority. (SLD)

Three nonparametric alternatives to the parametric Bartlett test are presented for handling the K-sample equality of variance problem. The two-sample Siegel-Tukey test, Mood test, and Klotz test are extended to the multisample situation by Puri's methods. These K-sample scale tests are illustrated and compared. (Author/GDC)

A polychotomous nominal response model-based computerized adaptive test (CAT) was simulated using data from 1,093 University of Texas students. The ability estimation of this model and its overall performance were compared with those of a dichotomous three-parameter logistic model-based CAT. Advantages and drawbacks of nominal response CAT are…

Applies multilevel models of cost-effectiveness to numerous types of (British) institutions providing courses of instruction in the General Certificate of Education at Advanced Level. Different impressions may be gained about an institution's relative effectiveness when cost considerations are combined with outcome measures. Data evaluation needs…

Two models are presented to compare trainee and expert assessment strategies. The use of these procedures in assessment training programs is illustrated in a study of 5 postgraduate students in an environmental education course who were required to rate the work of 20 students. (SLD)

Discussion of operational effectiveness in libraries focuses on a modeling approach that was used to compare the effectiveness of a local interlibrary loan system with using a national system, the British Library Document Supply Centre (BLDSC). Cost figures and surveys of five academic libraries are described. (six references) (LRW)

Comparisons were made of three Angoff Design V linear equating methods (two forms equated to a common test, two forms predicted by a common test, or two forms used to predict a common test) and Tucker's and R. Levine's linear methods, under common item linear equating with non-equivalent populations. Forms of a professional certification test…

Giving patterns in the six years following a stock market drop in 1960 showed that giving actually went up during those years. However, in the case of very wealthy donors, they reduced large gifts to colleges. ( MLW)

Relations among aptitude, spatial task solution strategy, and task performance were explored through mathematical models of performance latency. Different models fit different subjects on each of three task steps (encoding, synthesis, and comparison), suggesting that different subjects used different strategies for solving the same items. Aptitude…