The Joreskog and Sorbom LISREL (linear structural relations) method is investigated as an alternative to regression analysis in studies of aptitude-treatment interactions (ATI), to solve problems caused by unreliability of measurements and by large sets of variables. A study reported by M.J. Behr is reanalyzed. This study investigated relations…

Stochastic difference equations of the Box-Jenkins form provide an adequate family of models on which to base the stochastic theory of human growth processes, but conventional time series identification methods do not apply to available data sets. A method to identify structure and parameters of stochastic difference equation models of human…

Various models that have been devised to evaluate the performance of information retrieval systems are reviewed. Such models fall into three categories: (1) evaluation from the viewpoint of the user, who is primarily concerned with how well the system responds to his query; (2) evaluation from the system operator's standpoint, which focuses on the…

The development of a probabilistic model for validating Gange's learning hierarchies is described. Learning hierarchies are defined as paired networks of intellectual tasks arranged so that a substantial amount of positive transfer occurs from tasks in a lower position to connected ones in a higher position. This probabilistic validation technique…

This paper examines the feasibility of distributing Elementary and Secondary Education Act Title I aid among school districts according to the educational achievement of pupils in each district. The "predicted achievement method" would permit the distribution of aid on the basis of population characteristics in a way that, on average,…

The part-time job market now employs about 12.5 million persons who are voluntary part timers--those who customarily work one to thirty-four hours a week on their own volition. Data from the Current Population Survey (March-May, 1973) was used to examine the cross-sectional distribution of the employment and wages of part timers, and an analysis…

Mathematical models of judgment policy are compared in evaluating 625 Cadet Performance Reports during a single rating cycle. Linear and nonlinear regressions are used to describe the cues most important in determining overall ratings. In addition, performance rating policy is compared with stated policy for each of forty cadet raters. In general,…

The Design of Training Systems (DOTS) project was initiated by the Department of Defense (DOD) to develop tools for the effective management of military training organizations. Phase 2 involved the design and development of three computer-based mathematical models, described in detail in this report. The models described are the System…

This study investigates how local school districts behave in allocating their budgets among teachers, other professional educators, support personnel, and nonpersonnel inputs. Demands for school inputs are estimated using U.S. Office of Education data on the expenditure and staffing patterns of large (enrollments in excess of 10,000 students)…

This paper presents a model of how the supply of applicants for public employment programs may be determined, with the information necessary to incorporate the model factors into simulation of such programs. The methodology used to estimate the size and composition of the supply population for public employment programs--how many persons would…

Progress on the development of a mathematical model and associated computer programs for use by the Illinois State Library in evaluation and planning of the interlibrary loan (ILL) network is summarized. Pertinent published literature on ILL networks is reviewed in terms of network structure, operations, satisfaction of requests, and costs. A flow…

The purpose of this study was to establish the technical and economic feasibility of using solar energy for the heating and cooling of buildings. Five selected building types in 14 selected cities were used to determine loads for space heating, space cooling and dehumidification, and domestic service hot water heating. Relying on existing and…

This paper repudiates Jensen's hypothesis that differences in IQ scores and scholastic achievement in Negro and white children are genetically based. Specifically, Jensen's identification of IQ scores as a measure of abstract reasoning and problem solving and of levels of ability, and his evaluation of the magnitude of the genetic component in IQ…

The Educational Simulation Model (ESM), developed by UNESCO, is designed for use at the national level for long range simulation of educational system fluctuations. The model is a set of equations which describe an educational program and the changes and flows in student enrollment in all the courses of an educational system. Thus the model is…

The purpose of this study was to establish score equivalencies between the College Board Scholastic Aptitude Test (SAT) and its Spanish-language equivalent, the College Board Prueba de Aptitud Academica (PAA). The method of the study involved two phases: the selection of test items equally appropriate for Spanish- and English-speaking students for…