L-scaling is introduced as a technique for determining the weights in weighted averages or scaled scores for T joint observations on K variables. The technique is so named because of its formal resemblance to the Leontief matrix of mathematical economics. L-scaling is compared to several widely-used procedures for data reduction, and the…

Previous research has demonstrated particular inadequacies in conventional methods used to identify outlier cases in bivariate regression models. Only through a combination of methods can one detect all of the deviant points potentially overinfluencing a regression model's parameters. This paper investigates whether a range of data points might…

A method for comparing the cross validated classification accuracies of linear and quadratic classification rules is presented under varying data conditions for the k-group classification problem. With this method, separate-group as well as total-group proportions of correct classifications can be compared for the two rules. McNemar's test for…

Implicit figuration and subjective interpretation make up the conventional basis of the classical discussion of the comprehensiveness and aesthetic quality of the metaphor. Its function and use in social science research is illustrated as a background to a radically different methodological approach. By means of a Perspective Text Analysis, it is…

Using computer simulated data, the Type I error rate and statistical power were empirically estimated for several pairwise multiple comparison strategies for situations where population variances differ. Focus was on comparing modified Bonferroni procedures with Dunnett's solutions, and determining whether or not J. P. Shaffer's suggestion of…

The purpose of this paper is to illustrate the use of tobit analysis and tobit decomposition in educational research. Tobit estimates of growth rate in the presence of a ceiling effect were compared with ordinary least squares (OLS) and weighted least squares (WLS) estimates. The tobit estimates had the smallest standard error, the smallest bias,…

After clarifying some of the problems in determining the effectiveness of schools, this study attempts to show how the impact of school resources on achievement can be measured. Several mathematical models are examined that provide quantitative information on the relationship between school resources and student achievement. The sample includes…

Describes a mathematical programming model for determining the admissions policies necessary to produce optimal enrollment levels, given certain constraints on enrollment capacity and minimum and maximum admissions levels. The model is then used to analyze the possible consequences of the introduction of a summer term in Yale College. (Author)

Reports a solution to the problem of providing annual grade enrollment projections by use of an exponential smoothing model. (Author)

Several approaches to the teaching of vectors are discussed, and a particular model is advocated. (SD)

The procedure was to isolate the component variables and then to formulate the logical and mathematical rules governing their interaction. Students were classified by age, grade, and sex; also, their entry to, movement through, and graduation from the system were examined. (Author)

Three methods of determining waste quantity for a new building are supplied, based on a study conducted at the Cambridge campus of Massachusetts Institute of Technology. (MLF)

By converting functional equations to cylindrical coordinates, plotting points on cardboard, and connecting these points with thread, one can make three-dimensional string figures illustrating the behavior of functions for which the derivative is not always defined. (SD)

Presents a description of a relatively new theory which offers a powerful mathematical tool for rigorously synthesizing common theoretical conflicts between discrete and continuous interpretations of scientific phenomena. One particular note is made in reference to man's conceptualization of time. (Author/EB)