The concept under investigation was the reliability of estimates of mean scores of groups under various assumptions of multiple-matrix sampling when reliabilities are computed according to procedures based on generalizability theory. Four different cases were compared with respect to the generalizability coefficients depending upon whether pupils…

The 48 papers in this conference report are concerned with the use of computers in undergraduate curricula in various educational settings. Articles are split into general topic headings, including Computer Augmented Video Education (CAVE), Mathematics, Simulation, Testing, Humanities, Social Science, Computer Assisted Instruction/Computer Managed…

The measurement of change in quasi-experimental educational research was discussed. Problems related to measuring change exist to varying degrees in all research designs; these issues are less troublesome in experimental studies because the investigator can manipulate the interest variables and observe their effects on other variables. Measuring…

A general process for testing the feasibility of applying alternative mathematical or statistical models to the solution of a practical problem is presented and flowcharted. The system is used to compare five models for test equating: (1) anchor test equating using classical test theory; (2) anchor test equating using the one-parameter logistic…

The implications of a mathematical model of test scores are explored where the data are limited to a random sample of items without replacement from an indefinitely large population or item domain in which items are scored either zero or one. The purpose is to obtain an unbiased estimate of a student's proportion of items correct in the item…

Latent trait models may offer considerable potential for the improvement of educational measurement practices, but until recently, they have received only limited attention from measurement specialists. This paper provides a brief introduction to latent trait models, and provides test practitioners with a non-technical introduction to the…

The Mastery-Learning test model is extended. Methods for estimating prior probabilities are described. The use of an adjustment matrix to transform a probability of mastery measure and empirical methods for estimating adjustment matrix parameters are derived. Adjustment matrices are interpreted as indicators of instructional effectiveness and as…

Scientific and technical information services cost the federal government close to a billion dollars a year and cost further large sums to other sectors of the economy. Unless the relationship of benefit to cost for these services is quantitatively understood, there are dangers of enormous waste in some areas or of the passing up of enormous net…

General documentation for the Enrollment Projection Model used by the Maryland Council for Higher Education (MCHE) is provided. The manual is directed toward both the potential users of the model as well as others interested in enrollment projections. The first four chapters offer administrators or planners insight into the derivation of the…

The Design of Training Systems (DOTS) model was conceived to provide Naval Education and Training Command management with computerized mathematical models to assist in predicting the quantitative impact of training resource decisions. During Phase III of the project, the three models were operationally tested, and an evaluation team concluded that…

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…

From some simple and schematic assumptions about information processing, a stochastic differential equation is derived for the motion of a student through a computer-assisted elementary mathematics curriculum. The mathematics strands curriculum of the Institute for Mathematical Studies in the Social Sciences is used to test: (1) the theory and (2)…

The problem of structuring sequences of instructional stimuli such that learning is optimized is modelled as a sequential decision problem with an imbedded mathematical model of learning providing a criterion function. Three types of optimization methods for such a representation are investigated for the specific case of paired-associate learning…

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…

A general method for estimating the unknown coefficients in a set of linear structural equations is described. In its most general form the method allows for both errors in equations (residuals, disturbances) and errors in variables (errors of measurement, observational errors) and yields estimates of the residual variance-covariance matrix and…