This guide presents many new experimental designs for data analysis and reviews certain standard procedures. It is hoped that the treatment of the material will stimulate new applications since the emphasis of the guide is on the problems encountered in running experiments rather than on an elaboration of mathematical models. Discussed are:…

A set of symbols is presented along with logical operators which represent the possible manipulations of the linear model. The use of these symbols and operators is to simplify the representation of analysis of variance models, correlation models and factor analysis models. (Author)

Four experiments designed to study attitudes toward United States Presidents are described. The project uses the conceptual framework and methodology of a mathematical theory of information integration to compile information on attitudes and opinion formation based on high school civics and history courses. Results of the research findings of each…

The objective of this study was to review and integrate the various methodologies used in the study of individual growth (especially academic growth). This was accomplished by means of Joreskog's general model for the analysis of covariance structures, i.e., each of the disparate methodologies available from the literature was shown to be a…

This research investigated the use of the Rasch simple logistic model in obtaining test-free ability estimates. Tests employing word, picture, symbol and number analogies were administered to college and high school students. The results show that the Rasch model does not offer an improvement over the use of percentile ranks in estimating…

This final report summarizes past research and suggests new approaches to the problem of estimating long-term individual constants using path analysis. The general objective of the research was to detect and measure the likelihood that one variable, x, measured at time, t, has a causal influence on another variable, y, measured at a subsequent…

This is a final report, for administrative purposes, of studies to be published in the general category of mathematical theory of social groups, with emphasis on the large groups typical of educational communities. Since the study of the large and complicated structures of high school and college communities is difficult by purely empirical…

This pamphlet presents a general description of the systems approach as applied to education, and gives verbal and mathematical model examples of its application in educational administration. The basic aims of the systems approach are to (1) identify major objectives of a program plan, (2) define programs that can effect the planned goals, (3)…

An analytical framework is described through which voluntary attrition can be predicted. The approach incorporates Marshallian Utility Theory and a Maximum Likelihood Estimation procedure to evaluate a specific individual's propensity to attrit. The approach was tested twice at the United States Air Force Academy where it was able to correctly…

Summarizing work which is part of an Army research program on Methodological Issues in the Construction of Criterion Referenced Tests, the focus of this paper is on a Bayesian model, which gives the probability of correctly classifying an examiner as a master or as a nonmaster while taking into consideration the test length and the mastery cut-off…

The Simulation Option Model (SOM) was developed as part of the Centre for Educational Research and Innovation work on educational planning. Its two main purposes are to be an analytical tool for the project on Educational Growth and Educational Opportunity and to be a direct contribution to member countries' own work in these areas. The model…

Criticizes the current method of formalization in Italian schools and the use of tools of the mathematical method. Proposes a general three-stage formalization method which can used for physical quantities, the particular significance of certain quantities, and the description and interpretation of phenomena. (TW)

Reviews trends in computer assisted instruction (CAI) in Japan, focusing on authoring languages and mathematical model-based courseware development. The scale of personal computer use and types of courseware used in elementary and junior high schools is described, and an example of an intelligent CAI system is given. (Author/LRW)

This paper evaluates empirically the impact of elementary school related factors on the academic achievement of Montreal francophone children. A three-equation model explains simultaneously the level of achievement in mathematics and French and the self-concept of the students in the sample. (Author/LMO)

Explores the problem of combining algebraic terms from the students' point of view and suggests changes in certain traditional teaching practices. (PK)