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…

The applicability of the Rasch model to data from a typical personality test, the High School Personality Questionnaire (HSPQ), was studied. The data were gathered on Junior High and High School students in the Louisville Public Schools (Kentucky). Item easinesses and person abilities were estimated and compared by age group, within each age…

A technique for detecting and studying item (or test) x group interactions independent of differences in level or dispersion of the groups is described. It involves construction of a scatter plot with two groups represented, one on each axis. Each point in the scatter plot represents the coordinates of a measure of a characteristic for one group…

The use of a mathematical model supported by empirical findings had developed a method of cost effectiveness that can be used in evaluations between educational objectives and goals. Educational time allocation can be studied and developed into a micro-level economic theory of decision. Learning has been defined as increments which can be…

The International Relations Archive undertakes as its primary goals the acquisition, management and dissemination of international affairs data. The first document enclosed is a copy of the final machine readable codebook prepared for the data from the Political Events Project, 1948-1965. Also included is a copy of the final machine-readable…

The Oregon Board of Higher Education approved a revision of its existing budgeting procedure, the result of nearly two years' work. The effort was undertaken because of deeply held concern about both the adequacy of the resources provided and the equity of the distribution of the available funds to the several institutions. It was determined that…

Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…