This report examines existing mathematical methods that have been utilized to develop educational enrollment estimates and analyzes the applicability of these methods in the community college setting. Models surveyed are based on (1) extrapolation--by either survival cohort or cohort-regression, (2) structural flow, and (3) Markov-type procedures.…

This document is the report of a curriculum writing session. Using the recommendations and suggestions of the planning conference (SE 012 733), the writers produced detailed outlines for the grade seven through nine curriculum. The purpose and rationale of each unit are stated, and the separate sections outlined. Sample exercises are included for…

The estimation of values of a latent-trait presumed to underlie a given set of item response data is made on the basis of dichotomously scored items utilizing the so-called "normal ogive model" of Lawley and Lord. This model provides an internal scale of measurement, scores which are independent of the particular test items employed, individual…

Reported is a study of the development of conservation and measurement concepts, with reference to certain task factors which may affect performance. A group of 129 first and second graders were given a test of conservation and measurement consisting of five problem types crossed with three transformation types. The problems all involved moving…

This paper discusses the use of contrast coefficients in multiple linear regression models, and shows how they can provide for a logical method of analysis in both the analysis of variance and the analysis of covariance. (CK)

This paper provides a survey of models for the analysis of individual growth data emphasizing the problems posed by serial or time dependence in the application of polynomial regression models. The concepts of serial correlation and autoregressive models are illustrated. It is demonstrated that standard inference procedures may be quite misleading…

Neglected issues of simultaneous statistical inference and statistical power in survey research applications of the general linear model are reviewed, and it was found that classical hypothesis testing as it is currently applied, is inadequate for the purposes of social research. The intelligent use of statistical inference demands control over…

This is the second of four reports representing an effort to develop a system of indicators of scientific technical information. This particular report is concerned with the data analyses which led to the system of statistical indicators described in the first report. It includes a discussion of the overall framework upon which the study was based…

Populations of factorially simple and complex data were generated with first the oblique and orthogonal factor models, and then solutions based on special cases of the general orthomax criterion were compared on the basis of these characteristics. The results are discussed and implications noted. (DEP)

Describes a multiperiod programming model designed to aid college administrators in planning and decision-making for a five-year horizon. The model includes staffing goals, career constraints, teaching and course loads, tenure constraints, and budget constraints. Methods of using the model are discussed and a small example is presented. (Author/JG)

Describes a combination of lectures, experiments, and analysis with the aid of remote computer terminals that helps the engineering student grasp the fundamentals and implications of a mathematical model applied to a particular job situation. (MLH)

A least-squares solution for the method of paired comparisons is given. The approach provokes a theorem regarding the amount of data necessary and sufficient for a solution to be obtained. A measure of the internal consistency of the least-squares fit is developed. (Author/CTM)

Presents mathematical models appropriate to describing and analyzing competitive interactions in an ecological system. (MA)

A simplified derivation of the parabolic approximation to the acoustical wave equation is presented. Exact solutions to this approximate equation are compared with solutions to the wave equation to demonstrate the applicability of this method to the study of underwater sound propagation. (Author/BB)

A simple Monte Carlo method is used to simulate an atomistic model of solid-state diffusion. This approach illustrates some of the principles of diffusion and in particular verifies a solution to Fick's second law. The role and calculation of the diffusion correlation factor is also discussed. (Author/BB)