In this study of the economic process of education, individual activities regarding education are treated as a process of overtime resource allocation. The optimum plan for receiving education is investigated in terms of a mathematical model, and the demand for education is derived by examining the effects of changes in parameters on this optimum…

Based on data obtained in earlier phases of a comprehensive planning study, this report presents--(1) the development of a space projection model responsive to unique institutional requirements, and (2) a forecast of the aggregate academic space needs of higher education in Indiana for a given future enrollment level. The scope of the study and a…

A summary is provided of the status of Phase I of the three-stage project, "Design of Training Systems" (DOTS). The purpose of the overall project is described as being to introduce the technologies of education, psychology, management and operations research into the management of Navy training. Phase I of the effort is designed to…

When analysis of variance is used, statistically significant differences may or may not be of practical significance to educators. A large part of the problem is due to the fact that a "zero difference" null hypothesis can always be rejected statistically if the sample size is large enough. If, however, a method based on the noncentral F…

The manual, one of several resulting from a project to design planning procedures for local and State vocational education agencies, contains a variety of materials used in workshops, orientations, and briefings during the development of the Vocational Education Planning System. Two sections are particularly detailed: An Approach to the Vocational…

A summary of the technical problems encountered in performing Bayesian m group regression is given. Grade-point averages for students entering a vocational-technical program are predicted using ability assessments from the Career Planning Profile (CPP), a development of The American College Testing Program (ACT). The theory derived by Lindley (see…

This study investigates the resource allocation problem of faculty hiring and promotion patterns using the techniques of optimal control theory. The mathematical structure of an academic faculty is described by a linear dynamic model whose parameters were estimated from actual data by two different techniques. The principal characteristics of the…

This booklet, part of a series of four which provide problems in probability and statistics for the secondary school level, is aimed at aiding the student in developing models as structure for data and in learning how to change models to fit real-life problems. Twelve different problem situations arising from biology, business, English, physical…

This paper presents an index of goodness-of-fit for comparing m models over n trials. The index allows for differentiated weighting of the trials as to their importance in the comparison of the models. Several possible weighting schemes are suggested and the conditions on the weights which assure asymptotic normality of the index distribution are…

As part of an effort to reduce inequalities in economic opportunities confronting the young, this general model of youth behavior and opportunity was developed. Underlying the model are three sets of variables which influence economic opportunities: experience, perceptions, and opportunities. The relations between behavior at a point in time and…

This paper summarizes a recent study of a mathematical approach to the allocation of State resources to local school districts. The purpose of this approach is to (1) assure the maximum utilization of resources available, (2) distribute State funds in accordance with the criteria of effectiveness imposed on the system, and (3) satisfy the…

Bayesian statistical methodology and its possible uses in the behavioral sciences are discussed in relation to the solution of problems in both the use and teaching of fundamental statistical methods, including confidence intervals, significance tests, and sampling. The Bayesian model explains these statistical methods and offers a consistent…

To measure the effectiveness of a set of instructional materials designed to aid college students in setting up mathematical models of physical situations, undergraduate liberal arts students taking physics were randomly assigned to an experimental group (receiving the materials and using a textbook), a control group (using the text only), or a…

With the advance of computers, extensive work has been undertaken in the field of programmed instruction. Much effort has been invested to devise schemes of optimal instruction with respect to suitable criteria. Yet, what is needed is a theory which prescribes how learning can be improved, i.e., a theory of instruction. The present study is…

A variety of path models involving unmeasured variables are formulated in terms of Joreskog's general model for the analysis of covariance structures. (Author)