The purpose of the Pilot Training Study is to produce tools with which to analyze the pilot training process of the Air Force in terms of the resources required to train pilots and the cost of pilot training. These tools allow examination of the training courses themselves, and also of the policy factors which drive the need for pilots. The tools…

This report considers a university faculty which is divided into k grades. The total size is to remain fixed, but the proportions in the grades may vary. The problem is to find control strategies which will bring about desired changes in these proportions. This report is confined to investigating what can be achieved by controlling the numbers of…

The first part of the teachers' guide for "Finding Models" briefly describes the mathematical background necessary for the student, lists the substantive areas touched on by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information for the individual chapters. The second part provides complete…

Human performance reliability for tasks in the time-space continuous domain is defined and a general mathematical model presented. The human performance measurement terms time-to-error and time-to-error-correction are defined. The model and measurement terms are tested using laboratory vigilance and manual control tasks. Error and error-correction…

This document methodically traces the development of the fundamental concepts of systems thinking in education from Harbert to contemporary innovators. The discussion explains narrative models, concentrating on educational flowcharting techniques and mathematical models related to developments in engineering and physical science. The presentation…

Generally, ratings have notoriously low inter-rater reliabilities. Because of differences in orientation, background, and expectations, ratings are seldom made from the same point of reference; thus, many types of error mask the true rating variance. Guilford's technique identified most types of constant error by analysis of variance and then…

The applicability of a mathematical theorem designed to trace causality of a three-variable path that consists of an initial cause variable, an intermediate variable, and a final-effect variable with control over other system variables is evaluated. The formula was used with a horizontal rather than a normal distribution, as had been done in an…

Methods exist for testing the homogeneity of group regression for the case in which there is only one predictor. Studies which have investigated aptitude-treatment interactions have adopted the homogeneity of regressions test as standard methodology for assessing the difference in regression slopes across treatments. Additional statistical…

This document, a report of a seminar arranged by the Royal Belgian Society of Engineers and Industrialists, contains 35 papers illustrating the application of modern mathematics in engineering. There are eleven sections: Statistics, Operational Research, Boolean Algebra, Numerical Analysis, Eigenvalues, variations, Integral Equations and…

This paper reports a preliminary study on the development of a linear-programing- type model to stimulate a constrained Federal program of educational support to the States. This model determines the distribution of fixed amount funds according to some measure of effectiveness. Federal involvement so far has been in the form of Federal aid that is…

This study was undertaken to relate Job Corps training outcomes to the costs of training, in terms of human talent, time, and material resources. Training outcomes or benefits were classified according to Job Corps objectives, then compared to total costs incurred by both training center and enrollee. Empirical validation and other evaluation of…

This publication is a discussion of the concept of an educational production function, a mathematical formulation of the relationship between inputs and outputs in education. A description of how a production function can direct decision making toward economic efficiency precedes a theoretical discussion of the nature of actual estimation. Several…

The report describes the Army Individual Training Establishment and the model designed to simulate the training given by the 11 Army Training Centers and by the 54 Army Service Schools in terms of students/trainees and the instructor/trainer and overhead staffing and costs required to support the training requirements. The model accepts…

The fifth (of 14) volume of the Education and Training Consultant's (ETC) series on systems engineering of education is designed for readers who have completed others in the series. It reviews arithmetic and algebraic procedures and applies these to simple education and training systems. Flowchart models of example problems are developed and…

To fully develop a teacher cost model, it is essential to be able to forecast the number of teachers that leave the experience category distribution -- not only the total number that leave, but also the number that leave from each category and experience level within the distribution. Similarly, it is essential to be able to forecast, to the same…