The author interprets several mathematical concepts as groupings using Piaget's definition. He also discusses (briefly) the implications for primary education. (SD)

For the six available sets of empirical data, the discrimination (slope) parameter of the logistic item characteristic curve was found to have a significant positive correlation over items with the difficulty (location) parameter. This unpleasant situation can be eliminated by a suitably chosen transformation of the ability scale. (Author/RC)

Some basic concepts of the one-parameter logistic latent-trait model, or the Rasch model, are presented. This model assumes that the probability of a correct answer to an item is a function of two parameters, one representing the difficulty of the item and one representing the ability of the subject. The purpose of this paper is to explain a…

The purposes of this study are: (1) to compare the results of linear, equipercentile, frequency estimation equipercentile and item response theory (IRT) true formula score equating; and (2) to investigate the feasibility of using IRT methods to equate new forms of the Preliminary Scholastic Aptitude Test/National Merit Scholarship Qualifying Test…

In assessing educational equity among school districts, according to the authors, researchers should control for differences across districts in the prices of educational inputs. This paper tests a suggested index for one educational input, teacher salaries. The suggested teacher-salary index, based on a supply-and-demand model using 12 demand and…

A comparison is made between Elementary Secondary Education Act Title I normal curve equivalent (NCE) gains derived from the norm-referenced test (NRT) Model A1 and Title I NCE gains derived from the criterion-referenced test (CRT) Model A2. In addition, four equating methods (normalized, curvilinear, linear, and abbreviated equipercentile) for…

Concern about passing those examinees who should pass, and retaining those who need remedial work, is one problem related to criterion-referenced testing. This paper deals with one aspect of that problem. When determining how many items to include on a criterion-referenced test, practitioners must resolve various non-statistical issues before a…

A particularly difficult area for many engineering students is the approximate nature of the relation between models and physical systems. This is notably true when the models consist of differential equations. An approach applied to this problem has been to use analog computers to assist in portraying the output of a model as it is progressively…

A case study of the Suburban Library System (SLS) was conducted by applying an analytical library network model to data collected during March 1978. Models are developed for describing the intralibrary processing activities encountered at SLS and the other resource libraries in this case study. Alternative routing policies for referring requests…

Statistical procedures of the regression discontinuity and regression projection designs were compared to determine which design was more able to detect treatment effect in remedial or gifted programs. Neither test was more precise in all situations. Tables list the more precise test usder specific conditions. The regression projection model…

The conceptualization of analysis of covariance (ANCOVA), as an analysis of variance (ANOVA) on the residual scores that are obtained when the dependent variable is regressed on the covariate, is mathematically incorrect. If residuals are obtained from the pooled within-groups regression coefficient, ANOVA on the residuals results in an inflated…

A PROGRAM THAT WOULD DEVISE OPTIMAL ROUTES FOR SCHOOL BUSES WAS DEVELOPED. ONE OF THE TWO MODELS DEVELOPED FOR THIS STUDY, CALLED THE HEURISTIC MODEL, WAS A HAND PROCEDURE BASED ON THE ASSUMPTION THAT, IN AN EFFICIENT SCHOOL BUS SYSTEM, STUDENT MILES SHOULD BE MINIMIZED RATHER THAN BUS MILES. THE OTHER MODEL WAS DESIGNED TO BE USED WITH HIGH SPEED…