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)

The author presents a method of producing a scatter diagram of data on two variables with Pearson product moment correlation of .50; he also provides a proof that the method will work for any number of data pairs. (SD)

The author describes an introduction to, and development of, the complex number field. (SD)

This paper reports an attempt to identify appropriate and robust location estimators for situations that tend to occur among various types of empirical data. Emphasizing robustness across broad unidentifiable ranges of contamination, an attempt was made to replicate, on a somewhat smaller scale, the definitive Princeton Robustness Study of 1972 to…

A brief, practical overview of "design effects" (DEFFs) is presented for users of the results of sample surveys. The overview is intended to help such users to determine how and when to use DEFFs and to compute them correctly. DEFFs are needed only for inferential statistics, not for descriptive statistics. When the selections for…