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Peer reviewedWhitely, Susan E.; Dawis, Rene V. – Educational and Psychological Measurement, 1976
Systematically investigates the effects of test context on verbal analogy item difficulty, in terms of both simple percentage correct and easiness estimates from a parameter-invariant model (Rasch, 1960). (RC)
Descriptors: Analysis of Variance, High School Students, Item Analysis, Mathematical Models
Peer reviewedHopkins, David S. P.; Massy, William F. – Management Science, 1977
Describes a mathematical model for planning the transition to long-run financial equilibrium for a university budget, and presents data demonstrating the model's application at Stanford University. Available from: The Institute of Management Sciences, 146 Westminster Street, Providence, Rhode Island 02903; $40.00 annually. (JG)
Descriptors: Budgeting, College Administration, Educational Finance, Higher Education
Peer reviewedJohnson, Jeffrey N.; Peterson, Howard L. – Journal of Education Finance, 1978
Presents a model for assessing the cost consequences of implementing a faculty-directed individualized study program for undergraduates within any regular academic department of a traditional college or university. (JG)
Descriptors: Cost Effectiveness, Evaluation Methods, Higher Education, Individual Instruction
Peer reviewedPecker, Jean-Claude – Impact of Science on Society, 1977
Reviews the current state of knowledge obtained by means of observations using the increasingly powerful or proficient instruments of astrophysics, radio astronomy, and space astronomy by satellite. In conclusion, he refers to certain mathematical entities introduced into the theory of the origins and evolution of the cosmos. (Author/MA)
Descriptors: Astronomy, Mathematical Models, Physics, Reference Materials
Peer reviewedMuses, Charles – Impact of Science on Society, 1977
Mathematics provides a language by which man can explore, and describe precisely and profoundly, any possible set of characteristics or relationships in nature. Discussed in this article are several mathematical topics including some historical perspectives in mathematics and new pioneering in hypernumbers. Supplementary sections include…
Descriptors: Algebra, Mathematical Applications, Mathematical Concepts, Mathematical Models
Peer reviewedGould, Stephen Jay – BioScience, 1978
Describes a computer simulation of the evolution of species. This is a model for sorting out random and correlated paleontological events. (BB)
Descriptors: Archaeology, Biology, Computer Oriented Programs, Computers
Peer reviewedVillegas, C. – Journal of Multivariate Analysis, 1976
A multiple time series is defined as the sum of an autoregressive process on a line and independent Gaussian white noise or a hyperplane that goes through the origin and intersects the line at a single point. This process is a multiple autoregressive time series in which the regression matrices satisfy suitable conditions. For a related article…
Descriptors: Mathematical Models, Matrices, Maximum Likelihood Statistics, Orthogonal Rotation
Peer reviewedLewis-Beck, Michael S. – American Political Science Review, 1977
Argues that comparison of "effects coefficients" derived from path analysis is the preferred method of assessing the relative impact of different independent variables on a given dependent variable. Available from: American Political Science Association, 1527 New Hampshire Avenue, N.W., Washington, DC 20036; $10.50 single copy.…
Descriptors: Mathematical Models, Path Analysis, Political Influences, Public Policy
Peer reviewedUndheim, Johan Olav; Gustafsson, Jan-Eric – Multivariate Behavioral Research, 1987
The hypothesis that fluid intelligence is equivalent to the factor of general intelligence is investigated using LISREL to specify higher-order models in reanalyses of three sets of psychometric data from subjects 11, 13, and 15 years old. The three studies showed fluid intelligence to be equivalent with a general factor. (LMO)
Descriptors: Cognitive Ability, Elementary Secondary Education, Factor Analysis, Foreign Countries
Peer reviewedSinger, Judith, D. – Journal of Experimental Education, 1987
A two-stage generalized least squares model is developed for estimating the linear regression of an individual outcome on a group characteristic in studies of multilevel data. Results of this model are compared to the results of analytic methods, and formulas are developed for assessing the accuracy of the traditional approaches. (Author/JAZ)
Descriptors: Error of Measurement, Least Squares Statistics, Mathematical Models, Regression (Statistics)
Peer reviewedHockley, William E.; Murdock, Bennet B., Jr. – Psychological Review, 1987
The model of the decision system in Murdock's two-stage memory- and-decision model for item recognition is developed and tested. The decision model is shown to be able to fit the accuracy and mean response latency data from four major recognition paradigms (Sternberg, study-test, continuous, and prememorized list). (Author/LMO)
Descriptors: Cognitive Processes, Decision Making, Goodness of Fit, Mathematical Models
Peer reviewedRosenbaum, Paul R. – Psychometrika, 1984
Tests are proposed for testing the conditional independence assumption without first specifying a parametric form for the nondecreasing item characteristic curves. In an example, the conditional independence hypothesis is rejected for all possible forms of monotone item characteristic curves. (Author/BW)
Descriptors: College Entrance Examinations, Goodness of Fit, Latent Trait Theory, Mathematical Models
Peer reviewedLosee, Robert M.; Bookstein, Abraham – Information Processing and Management, 1988
Presents a model that places Boolean database queries into conjunctive normal form, thereby allowing probabilistic ranking of documents and the incorporation of relevance feedback. Experimental results compare the performance of a sequential learning probabilistic retrieval model with the proposed integrated Boolean probabilistic model and a fuzzy…
Descriptors: Feedback, Information Retrieval, Mathematical Models, Online Searching
Peer reviewedKingma, Johannes; Van Den Bos, Kees P. – Educational and Psychological Measurement, 1987
Fifteen FORTRAN 77 programs are contained in the described package. Three programs are available for each of five forgetting models involving 5, 7, 8, 9, and 10-parameter models. The programs compute parameter estimates and test parameter estimates both between and within experimental conditions. (Author/GDC)
Descriptors: Computer Software, Educational Experiments, Hypothesis Testing, Learning
Peer reviewedRousseau, Ronald – Journal of Documentation, 1987
Proposes a new definition of the nuclear zone of a Bradford or Leimkuhler curve. The mathematical rationale is outlined, and examples of the application of this technique to citation analysis are given. (15 references) (CLB)
Descriptors: Citation Analysis, Functions (Mathematics), Graphs, Logarithms


