A bibliography with approximately 1,000 references to articles on multidimensional scaling (MDS) is preceded by a summary review tracing the major developments in the areas covered, and identifying significant references in each. With the exception of a few earlier documents, the period covered is 1966 to 1978. Topics mentioned in the summary…

This volume contains papers, presented at a 1966 OECD meeting, on the possibilities of applying a number of related techniques such as mathematical model building, simulation, and systematic control theory to the problems of educational planning. The authors and their papers are (1) Richard Stone, "A View of the Conference," (2) Hector…

Two aspects of the operation and maintenance of the Suburban Park School District (SPSD) facilities are analyzed: (1) The allocation of funds to operation and maintenance, and (2) the individual custodial workloads. The maintenance and operation expenditures are divided into three categories (custodial salaries, operation expenditures above and…

Computer technology, as an effective means for precisely simulating mathematical concepts and problems, could meet the need for new visual approaches to mathematics education. Computer generated imagery can not only accurately display two- and three-dimensional illustrations from mathematical models, but high precision images are economically…

This case study applies a mathematical model to the Illinois Library and Information Network (ILLINET) Rolling Prairie Library (RPL) System. Given certain dimensions, parameters, and operating policies of a library network, the model calculates probability of satisfying a request, average processing time, average total and unit costs, and average…

The report describes a project for developing a linear programing technique and a data base to facilitate decision making in State level planning of occupational training programs. The first 32 pages of the report describe the methods and procedures, results, conclusions, and recommendations of the study and include a brief bibliography. The…

In establishing a departmental cost-effectiveness model, the traditional cost-effectiveness model was discussed and equipped with a distant and deflation equation for both benefits and costs. Next, the economics of costing was examined and program costing procedures developed. Then, the model construct was described as it was structured around the…

One aspect of multiple regression--the shrinkage of the multiple correlation coefficient on cross-validation is reviewed. The paper consists of four sections. In section one, the distinction between a fixed and a random multiple regression model is made explicit. In section two, the cross-validation paradigm and an explanation for the occurrence…

The report summarizes the results of a field test conducted for the purpose of determining the utility to Naval training of the Systems Capabilities/Requirements and Resources (SCRR) and the Training Process Flow (TPF) computer-based mathematical models. Basic descriptions of the SCRR and the TPF and their development are given. Training…

The objectives of the study underlying these excerpts were to assist the Kansas City School District (ICSD) in the formulation of policy on the consolidation and closing of schools, the development of objective criteria to aid decision-making on these issues, and the specification of procedures for the implementing of such policy and policy…

A model permitting construction of algorithms for the polynomial conjoint analysis of similarities is presented. This model, which is based on concepts used in nonmetric scaling, permits one to obtain the best approximate solution. The concepts used to construct nonmetric scaling algorithms are reviewed. Finally, examples of algorithmic models for…

The problem of educational evaluation, the various types of evaluation, and the different kinds of models of evaluation systems are discussed in some detail. The educational needs of the students, staff, community, and the Philadelphia Title I schools, as agreed by members of the evaluation team, are listed. A taxonomy of Title I evaluation is…

This is a book of readings from the "Arithmetic Teacher" on selected topics in geometry. The articles chosen are samples of material published in the journal from its beginning in February 1954 through February 1970. The articles are of three major types. The first is classified "involvement." These articles describe geometry units in which the…

Three mathematical models and their enrollment projections for higher education in Georgia are presented. The first model is an extrapolation of current trends. The second model is a simple linear regression model based on steady growth. The third is a multiple regression model attempting to account for the influences of several variables…

Because of increased competition for funds, educational leaders are now recommending use of systematic planning techniques such as Planning-Programming-Budgeting (PPB). Effective implementation of such a procedure calls for a data base of enrollment of students in a program, retention rates, and costs per instructional hour. The intent of this…