A quasi-static learning model was proposed to describe the interaction of factors believed to be involved in the development of reading comprehension abilities. Reading comprehension was viewed as an extension of general language learning and subject to many of the same factors and complexities as is the development of language. There are five…

A series of mathematical models is given for translating a college or university's educational philosophy and its operating levels into physical facility requirements. The models exhibit the required number of units of instructional facilities, by function and capacity; the number of professional faculty and graduate teaching assistants; the units…

Reported is a study to determine the relative effectiveness of a meaningful concrete and a meaningful symbolic model in learning a selected mathematics principle. Subjects were from a second grade population and they were assigned to three treatments. Students assigned to Treatment 1 received instruction in the principle with a meaningful symbolic…

A computer program to perform a Monte Carlo simulation of counting experiments was written. The program was based on a mathematical derivation which started with counts in a time interval. The time interval was subdivided to form a binomial distribution with no two counts in the same subinterval. Then the number of subintervals was extended to…

Press coverage of a suburban midwest school district is analyzed as a set of time series of observations including the amount and quality of coverage. Possible shifts in these series because of the emergence of controversial issues are analyzed statistically using the Integrated Moving Average Time Series Model. Evidence of significant shifts in…

The implications of the report are that a knowledge of quantitative areas is becoming increasingly more important in the logistics career fields. Therefore the study has emphasized predicting academic performance in quantitative courses in graduate logistics. It was expected that a useful model of this type, in conjunction with the other models,…

The usefulness of the sets of cases developed in a previous technical report are examined as potential tests of leadership. Each set of cases generates, from a single subject, a number of scores which can be logically derived and which have substantial face validity. The intercorrelations among the scores, their split half reliability, and the…

Current work in mathematical modeling for manpower planning and personnel administration is reviewed with special reference to selected cases in the U.S. Navy. This included: (1) assignment models and their dynamic extensions, (2) Stochastic models with special reference to Markoff Processes, including the Office of Civilian Manpower and…

Three simplifying conditions are given for obtaining least squares (LS) estimates for a nonlinear submodel of a linear model. If these are satisfied, and if the subset of nonlinear parameters may be LS fit to the corresponding LS estimates of the linear model, then one attains the desired LS estimates for the entire submodel. Two illustrative…

To study the applicability of simple structure logic for factorial data from scientific disciplines outside psychology, four correlation matrices from each of six scientific areas were factor analyzed by five factoring methods. Resulting factor matrices were compared on two objective criteria of simple structure before and after rotation.…

Longley proposed a set of data for use in testing regression programs. This paper shows that the numerically accurate solution is likely to be an unreasonable estimate of the regression coefficients for this problem. This is true because the accuracy of the data and appropriateness of the model may affect the solution more than the computational…

The Airman Training Line Simulator was designed as a managerial aid for investigating and evaluating the various and diverse policy interaction which impact on basic military training and entry-level technical training courses. The user's manual provides user-oriented documentation on the concepts and logic underlying the model. The presentation…

The applicability of the Analysis of Variance, ANOVA, procedures to the analysis of dichotomous repeated measure data is described. The design models for which data were simulated in this investigation were chosen to represent simple cases of two experimental situations: situation one, in which subjects' responses to a single randomly selected set…

After considering the growth in the use of mathematics in the past 25 years, this report makes four major recommendations regarding the undergraduate curriculum: (1) The mathematics department should offer a course or two in applied mathematics which treat some realistic situations completely, including the steps of problem formulation, model…

The primary purpose of the present study was to investigate the appropriateness of several tests of significance for use with interrupted time series data. The second purpose was to determine what effect the violation of the assumption of uncorrelated error would have on the three tests of significance. The three tests were the Mood test,…