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)

This memorandum is the manual for the VARAN (VARiance ANalysis) program, which is the latest addition to a series of computer programs for multivariate analysis of variance. As with earlier programs, analysis of variance, univariate and multivariate, is the main target of the program. Correlation analysis of all types is available with printout in…

The relevance of research to educational ideas is discussed in this paper. General ways of organizing education in matters of theory, policy, or practice, and methodology are the "fantasies" analyzed; the need for research to produce the evidence that will convert these fantasies to fact is emphasized. A research example from elementary…

This monograph is concerned with the uses to which an individualized student information system could be put for obtaining valuable insights into the progress of a variety of students through the educational system. In chapter 1, the concepts and terminology required for an understanding of transition matrixes are introduced, and a mathematical…

This bibliography contains 58 selected abstracts of research reports dating back to 1964 on the general subject of manpower management. It was prepared from a search of the National Technical Information Service data base of more than 300,000 documents submitted by agencies of the Federal Government and also by private organizations or individuals…

The validity of an evaluation model for mastery testing applications was investigated. Three variables were tested in an experiment using 96 third grade subjects--amount of training, number of alternates in an item, and number of items. The concept hierarchy involved an orderly progression from a concept involving one relevant of three varying…

The paper is an en route version of a technical report which will ultimately present a process model of transfer that will be usable in the design of instructional programs. Consequently, it is a progress report with respect to the formulation of that model. (LI 004 279 and 004 280 are related documents) (Author)