This report gives some simple examples of stability for one factor and 2 x 2 factorial analysis of variance, reliability and correlations. The findings are very different: from superstability (no transformation whatsoever can change the result) to almost total instability. This is followed by a discussion of applications to multivariate analysis,…

In this report, the theoretical background and procedures for a study of concept learning are discussed. Several definitions of the term "concept" are analyzed, and the relations among concepts, chains of concepts, and hierarchies of concepts are explored. Conceptual learning is discussed from several points of view, and axiom systems for the…

In this volume, the results of a study of concept learning are presented. (The background for the study, and descriptions of the treatments--rote reception, rote discovery, conceptual reception, and conceptual discovery--are provided in Part 1.) Several hypotheses concerning the effectiveness of these treatments in learning concepts and on the…

Statistical methods that can be applied in the sequential analysis of multivariate empirical data are provided. Twenty-three specific formulas for use under varying conditions are discussed. A historical sketch of sequential analysis since World War II and a bibliography are included. (AE)

This cross section micro model of labor supply uses area variables to identify the response of individuals to area labor market conditions, while simultaneously estimating individual and family effects on labor supply. Interactions between variables are specified in the model, as are the relative effects of offsetting variables, such as the income…

A mathematical modeling technique has been developed to provide those having administrative responsibilities for establishing scientific and technical information systems with a flexible and powerful tool for making management decisions. A large number of factors (user communities, document forms, subject disciplines, etc.) are involved in…

This is a preliminary report of a project which has as its goal the construction of a mathematical model representing the interrelationships among certain categories of phenomena of the secondary school. These phenomena are classified as being either administratively uncontrollable input, administratively controllable input, or output…

There are basically four dimensions to a systems analysis that we find in current educational research: (1) Collecting information, (2) analyzing input-output relationships, (3) deriving models built upon these relationships to evaluate alternatives and to derive feasible solutions, and (4) attempting to derive the best solution consistent with…

An attempt is made to develop a method for the presentation of temporal and spatial sociolinguistic data in order to study phenomena of bilingual interaction. Domain of language usage and other sociocultural variables are abstracted from extant sources, normalized and compared with the aim of studying sociolinguistic variation, its reflection on…

The preliminary purpose of this research on educational planning was to develop the methodology for the construction and to determine the feasibility of a computerized mathematical model that would project college and university enrollments in New York State. It was recommended that a simulation model be constructed as a prototype for a…

The utilization of computer programed mathematical models for educational planning has a brief but rapidly accelerating history. This paper describes and, to some extent, evaluates several of these models. It also discusses some of the theoretical problems associated with their formulation and implementation. Models surveyed are of: (1) the…

A series of five appendixes presents details related to Phase I of the three-stage project "Design of Training Systems" (DOTS). The first appendix discusses strategic assumptions and processes, while the second reviews mathematical models and data bases operational within the navel education and training command. The third appendix…

Eight models for manpower utilization programs were developed that can indicate variables which differentiate successful Manpower Development and Training Act trainees from unsuccessful ones and that suggest program modifications in selection, placement, or services. (Author)

A nationwide survey was conducted to determine the States' formulae for funding operating expenses of the public two-year colleges. A one-page questionnaire, mailed to each State director for community/junior colleges, requested information on allocation formulae for operating expenses, capital outlay, and the State's total community/junior…

During the past two decades, mathematical programing techniques have been widely utilized in the private sector for optimization studies in locating industrial plants, scheduling commodity flows, determining product mix, etc. However, their use in the public sector has been less extensive, partly because of the absence of a clear-cut profit motive…