The application of a linear learning model, which combines learning theory with a structural analysis of the exercises given to students, to an elementary mathematics curriculum is examined. Elementary arithmetic items taken by about 100 second-grade students on 26 weekly tests form the data base. Weekly predictions of group performance on…

Because latent trait models require that large numbers of items be calibrated or that testing of the same large group be repeated, item parameter estimates are often obtained by administering separate tests to different groups and "linking" the results to construct an adequate item pool. Four issues were studied, based upon the analysis…

Two aspects to be considered in designing a storage system for library materials are: the fraction of the collection which is to be stored; and the criteria to be used for selecting materials for storage. This study demonstrates that for a given selection criterion least-cost storage quantities can be assessed by balancing the large circulation…

This report summarizes the results of a fourteen-month study to (1) examine the feasibility of establishing a book processing center to serve the nine state-supported college and university libraries in Colorado and (2) conduct a simulation study of the proposed Center. The report covers: background, operational characteri tics of participating…

A research project is being conducted to construct a mathematical model of the operations of an academic library to be used in making managerial decisions. As part of this project, this report examines Bradford's Law of Scattering and the fall-off of use of documents as they age. A series of mathematical analyses indicate how these two laws can be…

This paper notes three objections to the use of hand-held calculators in schools: they would (1) block reasoning, (2) make individuals machine-dependent, and (3) broaden the gap between developed and underdeveloped nations. Each is addressed, with specific examples used to refute them. The belief is strongly expressed that calculators can aid in…

This monograph reviews the development of goal programming models, discusses their current status, and projects research frontiers. An introductory section presents a brief history of the models and acknowledges the work of several authors in the field. The bulk of the paper is devoted to the presentation of aggregate model structures (including…

This is a study on the operating efficiency of the public library system in Australia. Cost functions have been fitted to library data and the results are interpreted with a view to generating insights into the functioning of the existing library system. An exploratory cost benefit analysis has also been attempted. Activities of libraries have…

The application of latent trait theory to classroom tests necessitates the use of small sample sizes for parameter estimation. Computer generated data were used to assess the accuracy of estimation of the slope and location parameters in the two parameter logistic model with fixed abilities and varying small sample sizes. The maximum likelihood…

The Rasch model of test theory is described in general terms, compared with latent trait theory, and shown to have interesting applications for the measurement of affective as well as cognitive traits. Three assumption of the Rasch model are stated to support the conclusion that calibration of the items and tests is independent of the examinee…

The multivariate general linear hypothesis (MGLH) has received relatively little utilization in educational research and evaluation. This is surprising in view of the fact that recent publications have made the MGLH tractable by practitioners. This paper seeks to stimulate interest in the MGLH by reviewing recent applications, emphasizing the…

The purpose of the present study is to demonstrate the utility of data analysis methodology in evaluative research relating pupil and curriculum variables to pupil achievement. Regression models which account for achievement will result from the application of the methodology to two evaluative problems--one of curriculum comparison and another…

This paper will discuss the results of a series of computer simulations comparing the Rasch logistic model to a series of models departing to various degrees from its assumption of equal discrimination power for all items. The results have implications for test construction and test scoring, indicating how closely the conventional raw score…

This paper provides a clarification of two factors--the differences in pupil need (as reflected by the proportion of disadvantaged or handicapped pupils in a district) and the differences in the prices of school inputs across districts--that affects the cost of educational services and a conceptual framework that may be useful in making welfare…

In this study, the data originally used by Hemphill, Griffiths, and Frederiksen in their "Whittman" study of principals' behavior patterns were factor analyzed using psychometric techniques. Results of the analysis substantiated four of the eight originally defined dimensions of administrative behavior, and an additional important factor termed…