Pennsylvania's mathematical modeling technique to evaluate tax reform proposals requires the following data: personal income at the local level and measures of the breakdown of property tax payment by land use classification. The simulation technique could be readily adapted in reorganizing educational finance systems. (MLF)

Presents two models of group decision making that integrate mathematical, multicriteria models with behavioral problem-solving concepts. The results of an empirical test that used the Business Management Laboratory simulation game are reported, and the performance of the two integrated models is compared with the performance of a nonintegrated…

Maximum likelihood and Bayesian procedures are presented for item selection and scoring of multidimensional adaptive tests. A demonstration with simulated response data illustrates that multidimensional adaptive testing can provide equal or higher reliabilities with fewer items than are required in one-dimensional adaptive testing. (SLD)

The purpose of the investigation was to obtain some relationships among (1) test lengths, (2) shape of domain-score distributions, (3) advancement scores, and (4) several criterion-referenced test score reliability and validity indices. The study was conducted using computer simulation methods. The values of variables under study were set to be…

The RMC Research Corporation evaluation model C1--the special regression model (SRM)--was evaluated through a series of computer simulations and compared with an alternative model, the norm referenced model (NRM). Using local data and national norm data to determine reasonable values for sample size and pretest posttest correlation parameters, the…

Progress is reported on four research tasks. An experiment tested the effectiveness of a computer-based phonology instructional system for second-language learning. In research on models of human-computer interactions, experiments were performed demonstrating that the provision of certain incentives to the users of a time-sharing system can have…

The authors provide a brief description of Teacher Cost Models--a computerized mathematical model that allows educational officials, using a specified set of input information, to forecast the provincial (or regional) teacher wage-bill at the operating level (1-year) and multi-year planning level (five years). The model has been successfully…

The accuracy with which regression models estimate treatment effects is dependent upon a number of conditions. The stability of the regression line (a function of sample size and correlation between pretest and posttest) is said to be the most important of these conditions. The utility of regression models is proportional to the size of the…

This paper introduces a note of caution about oversubscribing to rational game theory models of analysis at the expense of humanistic inquiry. Although game theory provides a useful tool for the explanation of rational alternatives in given social situations, it should not replace humanistic inquiry. "Good" decision-making in game theory usually…

Three phases of the project are identified: (1) measuring the cost, per student for each course of study; (2) calculation of the cost per student per course of study in the new institutions and analysis of the sensitivity of the cost per student to the number of students involved and the changes in the educational method; (3) measuring the return…

As the first of two papers delineating the design of Massachusetts' Management and Information System for Occupational Education (MISOE), these specific dimensions of MISOE structure and function are considered: (1) the distinction between economic and noneconomic analysis, (2) distinctions among census, sample, and other data, (3) the distinction…

Two educational computer simulations are described in this paper. One of the simulations is STATSIM, a series of exercises applicable to statistical instruction. The content of the other simulation is comprised of mathematical learning models. Student involvement, the interactive nature of the simulations, and terminal display of materials are…

A summary is provided of the rationale for questioning the applicability of classical reliability measures to criterion referenced tests; an extension of the classical theory of true and error scores to incorporate a theory of dichotomous decisions; a presentation of the mean split-half coefficient of agreement, a single-administration test index…

A mathematical model is proposed to describe how group differences in distributions of abilities, which are distinct from the target ability, influence the probability of a correct item response. In the multidimensional approach, differential item functioning is considered a function of the educational histories of the examinees. (SLD)

Uses the various strategies involved in baseball to illustrate basic concepts in game theory. Specifically discusses Willie Mays' base-stealing strategy and how it relates to probability and risk. Reminds students that expected results depend on adopted assumptions. (MJP)