An algebraic definition of time differentiation is presented and used to relate independent measurements of position and velocity. With this, students can grasp certain essential physical, geometric, and algebraic properties of motion and differentiation before undertaking the study of limits. (Author)

There is no doubt that the most important activity In schools and universities is conducting classes and lectures to their students. Preparation of timetables is a major task confronted by the management every year. A lot of time is spent on this exercise, yet the end result would be far from satisfactory. In this paper, we draw attention to the…

Math modeling is currently at the focus of educational methodologists' attention. However, little is known about the extent to which principles of the math modeling lead to methodological fallacies in educational research. The main purpose of this paper is to explore the nature and principles of math modeling and to examine its application in…

This paper reanalyzes the Hansen-Weisbrod-Pechman debate concerning the equity effects of subsidized tuition for higher education. It presents an intergeneration model of income distribution, including educational effects. This model is used to analyze issues in the debate over equity effects. It yields a measure (equity measure) of the…

The major reasons which seem to be preventing operations research from achieving its potential and fulfilling the expectations of its proponents in library management are explored. (Author)

Configural frequency analysis (CFA), a new method for identifying types, is illustrated numerically. Relations to latent class analysis and to factor analysis are discussed. It is suggested to use CFA as a type-defining method instead of factor analysis if the variables are linked not only by first but also by higher-order associations. (RC)

False drops occur in a system of random superimposed coding for edge-notched, punched, and feature cards. Formulae for the false dropping fraction are derived, and figures and tables are given for the calculated values in the most popular scheme. (Author/LS)

The characteristics of the stratified mixed binomial are reviewed and the adequacy of the simple binomial model for statistical inference when data are of stratified mixed binomial origin is examined using illustrative numerical examples. (Editor)

Emphasizing the measurement of causal effects to arrive at a better understanding of the causal mechanisms involved in statistical theory, a mathematical model for causal inferences in prospective studies is developed and then applied to retrospective case-control studies. Before developing the model, causal agents are delineated, and causal…

This research project addresses a series of methodological and theoretical statistical problems in the analysis of categorical data using loglinear and logistic response models, which grow directly out of problems in the study of the American educational system, and in basic educational research. The project focuses on the adaptation and…

Bayesian analysis of an m-group model is considered. A convenient stage III prior is proposed, and cases when the posterior distributions take on a simple form are exhibited. The behavior of various point estimators of the linear parameters of the model are explored in a Monte Carlo study. In the simple model considered, the O'Hagan estimator…

This document describes and discusses a mathematical model of the dynamics of bargaining. The model was designed to show the development of the bargaining process and to provide a means by which a prediction may be made with respect to settlement or stalemate. Allowing for multiple goals of the bargaining parties and changing weightings of those…

The conceptual and theoretical implications of employing different functional models of social change at the community level are outlined in this paper. While no new theoretical or methodological ground is broken, a class of models is recommended that appear infrequently in sociological literature, yet are well suited for representing social…

THIS PAPER IS CONCERNED WITH GRAPHIC PRESENTATION AND ANALYSIS OF GROUPED OBSERVATIONS. IT PRESENTS A METHOD AND SUPPORTING THEORY FOR THE CONSTRUCTION OF AN AREA-CONSERVING, MINIMAL LENGTH FREQUENCY POLYGON CORRESPONDING TO A GIVEN HISTOGRAM. TRADITIONALLY, THE CONCEPT OF A FREQUENCY POLYGON CORRESPONDING TO A GIVEN HISTOGRAM HAS REFERRED TO THAT…