A point "E" inside a triangle "ABC" can be coordinatized by the areas of the triangles "EBC," "ECA," and "EAB." These are called the barycentric coordinates of "E." It can also be coordinatized using the six segments into which the cevians through "E" divide the sides of "ABC," or the six angles into which the cevians through "E" divide the angles…

This note takes up the issue of parallel curves while illustrating the utility of "Mathematica" in computations. This work complements results presented earlier. The presented treatment, considering the more general case of parametric curves, provides an analysis of the appearance of cusp singularities, and emphasizes the utility of symbolic…

The study looks at sources of income, both legal and practical, identifies reasonable levels for library support, compares sources of governmental revenue and the costs of providing adequate library services, and develops mathematical formulas that can be used as measures of the city's or county's ability to support library services. The study…

This paper analyzes alternative approaches to allocating Chapter I funds for the education of disadvantaged children. The paper begins with a short discussion of the traditional method of distributing funds to districts on the basis of low-income student representation and then considers how changes in the poverty count from the 1970 to the 1980…

Changes in the structure of college and university tuition discounts in the past 15 years are explained, and it is argued that most discussion of discounts are oversimplified. The case of a hypothetical small liberal arts college (data composed from eight colleges) is used to illustrate the decile discount approach to analyzing discounting trends…

Procedures are described for studying the reliability of decisions based on specific passing scores with tests made up of discrete items and designed to measure continuous rather than categorical traits. These procedures are based on the estimation of the joint distribution of true scores and observed scores. (CTM)

This paper considers, from a theoretical point of view, two measurement approaches used in measuring success and failure in skills tests in physical education. The first, "fixed length" (FL) testing, entails counting the number of successful performances in a fixed number of trials. The second, "trials-to-criterion" (TTC)…

A statistical model is presented for analyzing the results of group conversation tests in English, developed in a Finnish university study from 1977 to 1981. The model is illustrated with the findings from the study. In this study, estimates of percentile curves for the number of errors are of greater interest than the mean regression line. It was…

The increase in tuition and expenditures at Montgomery College were analyzed through the use of the Higher Education Price Index (HEPI) based upon 1967 dollars. This index gives an indication of the effect of inflation upon a given amount of goods and services. Application of the HEPI to Montgomery College data since 1967 reveals that tuition for…

An analysis of salary differentials shows that although women and racial or ethnic minorities in the federal Civil Service science and engineering workforce earn less than their male and white counterparts, the differentials are much less than those shown by other studies for other occupations in the economy. These results show that: (1) salary…

This document was prepared in connection with a three-year longitudinal study of career expectations of high school students conducted to explain scientifically the process by which youth form career expectations, e.g., educational, occupational, and income expectations. Divided into six chapters, this document contains a theoretical rationale for…

Volume 2, the second of eight publications developed by the Intercultural Development Research Association (IDRA) as part of the "Texas School Dropout Survey Project," focuses on the issue of the computation of a dropout rate. Three important factors which influence the mathematical computation of a dropout rate are identified: time…

A survey conducted by the Higher Education Panel sought trends in various items of information about the financial condition of colleges and universities. A stratified sample of 760 insitutions was used, excluding major research universities. Information was requested on basic finance data, dormitory occupancy rates, occurrence of institutional…

As tuition charges increase and more students are eligible for financial aid, colleges must develop a concrete strategy to manage financial aid resources. Mechanisms to help financial aid officers effectively utilize aid resources in enrolling students are discussed. Mathematical formulas and calculations are included. (Author/JMD)

The validity of prediction equations based on American College Testing (ACT) Program test scores and high school grades is investigated. Presented are separate results for prediction equations based on ACT scores only, on high school grades only, and on both kinds of prediction jointly. Also included is a discussion of the relationship between…