Multiple sources of complications in the analysis of multilevel educational data are described with emphasis on the determination of a method of analysis that will provide accurate estimates of teacher/class effects even when there are systematic differences in within-class regressions of outcome on input associated with teacher/class…

This module is designed to apply mathematical models to nuclear deterrent problems, and to aid users in developing enlightened skepticism about the use of linear models in stability analyses and long-term predictions. An attempt is made at avoiding overwhelming complexities through concentration on land-based missile forces. It is noted that after…

Two units make up this material. They focus on applications of second-order difference equations to American politics. The goals of the first module include helping the user understand: 1) the difference between a theoretical construct and an observable; 2) the nature of choices which exist in modeling any particular empirical phenomenon; and 3)…

This study investigated a theoretical structure which attempts to explain the problem-solving strategies used by first-grade students who are successful in solving simple arithmetic story problems. The structure used describes the problem-solving procedure as consisting of a three-stage model building process: (1) comprehending the story, (2)…

One of the major assumptions of latent trait theory is that the items in a test measure a single dimension. This report describes an investigation of procedures for forming a set of items that meet this assumption. Factor analysis, nonmetric multidimensional scaling, cluster analysis and latent trait analysis were applied to simulated and real…

Two methods of interactive, computer-assisted testing methods for multiple-choice items were compared with each other and with conventional multiple-choice tests. The interactive testing methods compared were tailored testing and the respond-until-correct (RUC) item response method. In tailored testing, examinee ability is successively estimated…

The first panel of a three-year longitudinal study was conducted to investigate the process by which youth form career expectations. The study was designed around a cross-sectional path model of career expectations drawn from the sociological literature on status attainment and is based on differential equations in which all expectation variables…

Comparative applications of simple and complex faculty flow models are examined to determine (1) their relative demands for data and calculations, (2) the divergence of their projections, especially when modelling a no-growth faculty, and (3) an estimate of the error incurred (i.e., the cost to analysis) when a simple model is used. The results…

THIS DISCUSSION OF CAMPUS PLANNING IS BOTH A PLEA AND A PLAN FOR THE IMPROVEMENT OF COMMUNICATION BETWEEN EDUCATORS AND ARCHITECTS INVOLVED IN THE DEVELOPMENT AND IMPLEMENTATION OF CAMPUS PLANNING. CAMPUS PLANNING IS DEFINED AS A SYNTHESIS OF EDUCATIONAL, PHYSICAL AND FISCAL PLANNING. THE FACTORS INVOLVED IN A SUCCESSFUL APPROACH ARE PROGRAM,…

THIS STUDY ATTEMPTS TO DEMONSTRATE THAT PATH ANALYSIS IS A VALUABLE TOOL FOR INTERPRETING CORRELATIONS IN A CAUSAL SENSE. PATH ANALYSIS IS APPLIED TO A NONEXPERIMENTAL, PANEL SURVEY IN AN EFFORT TO DETERMINE WHETHER THE MORE SELECTIVE OR LESS SELECTIVE COLLEGES HAD A DIFFERENTIAL IMPACT ON THE EDUCATIONAL PLANS OF THEIR STUDENTS. THE PROBLEM IS TO…

This investigation used a clinical interview technique to identify the difficulties of kindergarten children who are unable to develop models or representations of simple arithmetic story problems. It is hypothesized that effective human problem solvers first generate some type of "physical model" and use this model to create a…

A search for better predictors of incomes of high school and college graduates is described. The accuracy of the prediction, implicit in the work of John R. Walsh of Harvard University, that the income differences in a given year are good indicators of income differences in future years, was tested by applying standard statistical procedures to…

The development of a predictive equation capable of explaining a significant percentage of enrollment variability at Florida International University is described. A model utilizing trend analysis and a multiple regression approach to enrollment forecasting was adapted to investigate enrollment dynamics at the university. Four independent…

An explanation is given of what is meant by "sample-free" item calibration and by "item-free" person measurement as these terms are applied to the one-parameter logistic test theory model of Georg Rasch. When the difficulty of an item is calibrated separately for two different samples the results may differ; but, according the…

Despite advances in common factor analysis, a review of 89 studies published in four selected journals between 1963 and 1976 indicated that behavioral scientists preferred principal components analysis, followed by varimax or orthogonal rotation. Resultant row sums of squares of factor matrices from principal component analyses of real data sets…