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Besen, Stanley M.; Kirby, Sheila Nataraj – 1987
This report analyzes the economic effects of the reproduction of intellectual property, i.e., books, journals, computer software, and audiovisual materials. A general economic model is presented in which direct appropriability (the marginal cost of copying is constant) and indirect appropriability (the marginal cost of copying is rising) appear as…
Descriptors: Case Studies, Consumer Protection, Copyrights, Costs
Smith, Matthew G. – 1988
This report describes an approach for developing conditional projections of the U.S. farm structure. The traditional approach to projecting the distribution of farms by size uses a Markov model with stationary (constant) transition probabilities. Although a useful tool for extrapolation of current trends, the stationary Markov approach cannot…
Descriptors: Adults, Agricultural Production, Agricultural Trends, Economics
Kulick, Edward; Dorans, Neil J. – 1984
A new approach to assessing unexpected differential item performance (item bias or item fairness) is introduced and applied to the item responses of different subpopulations of Scholastic Aptitude Test (SAT) takers. The essential features of the standardization approach are described. The primary goal of the standardization approach is to control…
Descriptors: College Entrance Examinations, Individual Differences, Mathematical Models, Performance Factors
Kogut, Jan – 1987
The purpose of this study is to determine an efficient way to reduce the bias in estimates of the Rasch model parameters due to aberrant response patterns. First, the benefits of using one- or two-sided goodness-of-fit tests of patterns with the model are discussed. Then, the consequences of removing non-fitting patterns from Rasch model data are…
Descriptors: Computer Assisted Testing, Computer Simulation, Estimation (Mathematics), Goodness of Fit
Nandakumar, Ratna – 1989
The theoretical differences between the traditional definition of dimensionality and the more recently defined notion of essential dimensionality are presented. Monte Carlo simulations are used to demonstrate the utility of W. F. Stout's procedure to assess the essential unidimensionality of the latent space underlying a set of terms. The…
Descriptors: Definitions, Educational Assessment, Latent Trait Theory, Mathematical Models
Linacre, John M. – 1989
A Rasch measurement model can be constructed to meet the requirements of rank ordered data. If multiple rankings of the same objects are available, then the parameters of the objects can be estimated, along with their standard errors and also with statistics summarizing the fit of the data to the measurement model. This paper summarizes the…
Descriptors: Data Analysis, Equations (Mathematics), Error of Measurement, Goodness of Fit
Lautenschlager, Gary J.; Park, Dong-Gun – 1987
The effects of variations in degree of range restriction and different subgroup sample sizes on the validity of several item bias detection procedures based on Item Response Theory (IRT) were investigated in a simulation study. The degree of range restriction for each of two subpopulations was varied by cutting the specified subpopulation ability…
Descriptors: Computer Simulation, Item Analysis, Latent Trait Theory, Mathematical Models
Beaton, Albert E. – 1981
Least squares fitting process as a method of data reduction is presented. The general strategy is to consider fitting (linear) models as partitioning data into a fit and residuals. The fit can be parsimoniously represented by a summary of the data. A fit is considered adequate if the residuals are small enough so that manipulating their signs and…
Descriptors: Goodness of Fit, Least Squares Statistics, Mathematical Models, Measurement Techniques
Blumberg, Carol Joyce; And Others – 1983
Various methods have been suggested for the analysis of data collected in research settings where random assignment of subjects to groups has not occurred. For the purposes of this paper the set of allowable nonrandomized designs is made up of those research designs where data are collected for one or more groups of subjects at two or more time…
Descriptors: Comparative Analysis, Control Groups, Data Analysis, Data Collection
Hedges, Larry V. – 1982
Meta-analysis has become an important supplement to traditional methods of research reviewing, although many problems must be addressed by the reviewer who carries out a meta-analysis. These problems include identifying and obtaining appropriate studies, extracting estimates of effect size from the studies, coding or classifying studies, analyzing…
Descriptors: Analysis of Variance, Correlation, Error of Measurement, Mathematical Models
Reckase, Mark D.; McKinley, Robert L. – 1982
A class of multidimensional latent trait models is described. The properties of the model parameters, and initial results on the accuracy of a maximum likelihood procedure for estimating the model parameters are discussed. The model presented is a special case of the general model described by Rasch (1961), with close similarities to the models…
Descriptors: Correlation, Item Analysis, Latent Trait Theory, Mathematical Models
Vandendorpe, Mary M. – 1985
This paper discusses a model of information storage and retrieval, the k-d tree (Bentley, 1975), a binary, hierarchical tree with multiple associate terms, which has been explored in computer research, and it is suggested that this model could be useful for describing human cognition. Included are two models of human long-term memory--networks and…
Descriptors: Artificial Intelligence, Cognitive Development, Cognitive Processes, Comparative Analysis
Yost, Michael – 1984
A mathematical model designed to identify admitted college applicants who pay a tuition deposit but fail to attend the college was tested. A two-group discriminant model was built using 486 Trinity University students who paid deposits and enrolled as freshmen during the 1983-1984 academic year, and 72 persons who paid tuition deposits but did not…
Descriptors: College Admission, College Applicants, College Attendance, College Freshmen
Peer reviewed Peer reviewed
Alker, Hayward R., Jr. – International Journal of Mathematical Education in Science and Technology, 1974
Achievements, limitations, and difficulties of social science simulation efforts are discussed with particular reference to three examples. The pedagogical use of complementary developmental, philosophical, mathematical, and scientific approaches is advocated to minimize potential abuses of social simulation research. (LS)
Descriptors: Behavioral Science Research, Computers, Instruction, Interdisciplinary Approach
Bassett, Roger; And Others – 1977
The State Planning System (SPS) is a flexible, policy-oriented management tool intended to help analyze possible impacts of various policy decisions. The SPS is able to address a wide range of issues because it depends on the user to provide the relationships and data to be used in the analysis. Such issues might include enrollment shifts among…
Descriptors: Data Analysis, Educational Planning, Evaluation Methods, Higher Education
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