The computational complexity of a formal process for the construction of term classes for information retrieval is examined. While the process is proven to be difficult computationally, heuristic methods are applied. Experimental results are obtained to illustrate the maximum possible improvement in system performance of retrieval using the formal…

Pearson's unrestricted chi-square procedure is reviewed, and an historical presentation of Neyman's restricted chi-square test is introduced with a discussion of its theory and applicability to education. An example of the Neyman procedure is discussed in detail to familiarize researchers with this useful technique for analyzing contingency…

Three topics in factor analysis are covered: a) a reliability coefficient for assessing the quality of a maximum likelihood factor analysis, b) an application of three-mode factor analysis to serial learning data, showing variations in learning curves over stages of learning and individuals, and c) the use of personal probability functions to…

This booklet is a programmed self-instructional guide for the computation of arithmetic mean. Developed to serve the needs of public health professionals, it is not an exhaustive or technical treatment of statistics. It is limited, first, to descriptive statistics (tables, graphs, descriptive ratios, measures of central tendency, and measures of…

This paper is concerned with the study of similarities and differences in factor structures between different groups. A common situation is when a battery of tests has been administered to samples of examinees from several populations. A very general model is presented, in which any parameter in the factor analysis models (factor loadings, factor…

This study analyzes the effects of labor force composition on the level of frictional unemployment. Proportionally more of total unemployment falls upon new workers, which has significant implications for changes in frictional unemployment. The labor market model which was developed to show this also implies, at least indirectly, that new workers…

This document discusses the value of linear programing in finding minimum and maximum solutions to problems of resource allocation. Three models using this technique are given for the areas of educational finance, school district personnel compensation, and instructional program evaluation. (RA)

The Florida Citrus Crop is expected to increase 50 percent by 1980, resulting in labor shortages unless mechanical harvesting is used. This report uses a mathematical model of costs and revenues to compare the profitability of different mechanical systems with that of the manual system. The analysis shows that if present trends continue,…

Simulation is defined and its use, as related to three types of models, iconic, analogue, and symbolic, that may be utilized in educational research is discussed. A five-step procedure is outlined that can be followed in the process of symbolic model construction. Simulation methods, based on these three models, are examined, and illustrations of…

This paper presents an R & D planning system (RDPS) that consists of (1) a multistage model for formulating projects and (2) a "reward" model for selecting projects. The system is based on a combination of decisionmaking and operations research approaches. Using the system concept, the R & D process is defined in three interrelated terms --…

Guttman's "rank-reduction" theorem is employed to demonstrate how most of the algebra and computational work for standard correlational and analysis of variance methods can be examined within a single matrix system. Analyses of both correlational and experimental data are illustrated with an easy-to-use computer program. This application…

This bibliography describes the contents of selected publications considered relevant for the study of systems analysis in educational planning. The citations and their annotations, in both English and French, are organized into (1) the uses of systems analysis in educational planning, (2) selected systems analysis techniques applied to education,…

Aitkin's generalized least squares (GLS) principle, with the inverse of the observed variance-covariance matrix as a weight matrix, is applied to estimate the factor analysis model in the exploratory (unrestricted) case. It is shown that the GLS estimates are scale free and asymptotically efficient. The estimates are computed by a rapidly…

The mathematical models of this paper were developed as an outgrowth of working with the Comprehensive Achievement Monitoring project (Project CAM) which was conceived as a model and application of sampling procedures such as those used in industrial quality control techniques to educational measurement. This paper explores mathematical modeling…

The Werts-Linn procedure for dealing with categorical errors of measurement in "Comments on Boyle's 'Path Analysis and Ordinal Data'" in The American Journal of Sociology, volume 76, number 6, May 1971, is shown to be inappropriate to the problem of ordered categories. (For related document, see TM 002 301.) (DB)