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…

Checking of parametric assumptions is an often ignored step in the inferential process. A misconception regarding symmetry (one aspect of "robustness") is prevalent: that in nonsymmetric distributions the mean and median are always non-coincidental. It is to this fallacious point that the discussion is directed. A generally accepted index of…

An experimental study of the efficiency of human information processing is based on the Bayesian model for simple hypothesis testing with fixed binomial sampling. Each of 60 subjects is analyzed with separate ANOVAs focusing on two efficiency variables. Sample size and critical value are also analyzed. Subjects show very different utilization of…

During the 1960's, nursing education shifted dramatically away from hospital-operated diploma schools toward associate degree and baccalaureate programs. This report examines the nature of this shift in training and its anticipated impact on future supply. Other important factors affecting the future supply of nurses are analyzed, including the…

Sixteen mathematicians from universities, schools and industries met for five days in 1966 to plan a "second round" curriculum which would place greater emphasis on the relevance of mathematics to problems of the real world. Their deliberations are reported in this document. The three main recommendations were that the curriculum should…

The purpose of this study was to formulate a linear programming model to simulate a foundation type support program and to apply this model to a state support program for the public elementary and secondary school districts in the State of Iowa. The model was successful in producing optimal solutions to five objective functions proposed for…

Efficient search of items in a store of information, such as books in a library, abstracts of articles, information in a computer data bank or the like, requires that the items most closely connected in content be close together, in order that a person looking for some particular information may concentrate his search on as small a part of the…

This paper explains some of the problems with, and their importance to the application of, the Cross-Impact Matrix (CIM). The CIM is a research method designed to serve as a heuristic device to enhance a person's ability to think about the future and as an analytical device to be used by planners to help in actually forecasting future occurrences.…