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Chernyavskaya, Yana S.; Kiselev, Sergey V.; Rassolov, Ilya M.; Kurushin, Viktor V.; Chernikova, Lyudmila I.; Faizova, Guzel R. – International Journal of Environmental and Science Education, 2016
The relevance of research: The relevance of the problem studied is caused by the acceleration of transition of the Russian economy on an innovative way of development, which depends on the vector of innovative sphere of services and, to a large extent, information and communication services, as well as it is caused by the poor drafting of…
Descriptors: Foreign Countries, Correlation, Cost Effectiveness, Factor Analysis
Koulis, Theodoro; Ramsay, James O.; Levitin, Daniel J. – Psychometrika, 2008
Recent advances in data recording technology have given researchers new ways of collecting on-line and continuous data for analyzing input-output systems. For example, continuous response digital interfaces are increasingly used in psychophysics. The statistical problem related to these input-output systems reduces to linking time-varying…
Descriptors: Mathematical Models, Data Analysis, Calculus, Item Response Theory

Goetschel, Roy; Voxman, William – Journal of the American Society for Information Science, 1987
Relations on a finite set V are viewed as weighted graphs. Using the language of graph theory, two methods of partitioning V are examined: selecting threshold values and applying them to a maximal weighted spanning forest, and using a parametric linear program to obtain a most adhesive partition. (Author/EM)
Descriptors: Graphs, Mathematical Models, Research Methodology, Statistical Analysis

Burrell, Quentin L. – Journal of Documentation, 1988
Proposes a probabilistic mechanism to describe various forms of the Bradford phenomenon reported in bibliographic research. The inclusion of a time parameter in the model to allow predictions of dynamic systems is explained. (58 references) (CLB)
Descriptors: Bibliometrics, Mathematical Models, Prediction, Probability
Raudenbush, Stephen W.; Bryk, Anthony S. – 1984
The purpose of this paper is to demonstrate in detail how the Empirical Bayes (EB) statistical estimation strategy can be applied to an important class of educational research contexts. EB methods are tailored specifically to the analysis of data with a hierarchical structure. For instance, investigators may be interested in discovering how…
Descriptors: Bayesian Statistics, Estimation (Mathematics), Mathematical Models, Research Methodology
Holland, Paul W.; Rubin, Donald B. – 1982
Lord's Paradox is analyzed in terms of a simple mathematical model for causal inference. The resolution of Lord's Paradox from this perspective has two aspects. First, the descriptive, non-causal conclusions of the two hypothetical statisticians are both correct. They appear contradictory only because they describe quite different aspects of the…
Descriptors: Estimation (Mathematics), Influences, Mathematical Models, Research Methodology

Yager, Ronald R. – Journal of the American Society for Information Science, 1987
Proposes an alternative methodology for handling queries with weighted search terms or search criteria in a fuzzy environment as a means of improving the performance of information retrieval systems. (EM)
Descriptors: Information Retrieval, Mathematical Models, Online Systems, Relevance (Information Retrieval)

Gelman, E.; Sichel, H. S. – Journal of the American Society for Information Science, 1987
Argues that library book circulation is a binomial rather than a Poisson process, and that individual book popularities are continuous beta distributions. Three examples demonstrate the superiority of beta over negative binomial distribution, and it is suggested that a bivariate-binomial process would be helpful in predicting future book…
Descriptors: Library Circulation, Library Statistics, Mathematical Models, Operations Research
Bart, William M.; Palvia, Rajkumari – 1983
In previous research, no relationship was found between test factor structure and test hierarchical structure. This study found some correspondence between test factor structure and test inter-item dependency structure, as measured by a log-linear model. There was an inconsistency, however, which warrants further study: more significant two-item…
Descriptors: Factor Structure, Interaction, Latent Trait Theory, Mathematical Models

Green, James A. – Child Development, 1988
Provides an introduction to loglinear analysis of cross-classification tables, including tables with nominal and ordinal variables. Compares the chi-square test of independence with the loglinear model of independence. Reviews the advantages and overall strategy of loglinear modeling. Each model discussed is applied to data from the developmental…
Descriptors: Child Psychology, Children, Correlation, Developmental Psychology
Mills, Craig N.; McKinley, Robert L. – 1984
A study was conducted to evaluate six goodness-of-fit procedures using data simulation techniques. The procedures evaluated included the weighted average absolute deviation (WAAD), the mean absolute deviation (MAD), Bock's chi-square (BCHI), Yen's chi-square (YCHI), Wright and Mead's chi-square (WCHI), and the likelihood ratio chi-square (LCHI)…
Descriptors: Analysis of Variance, Data Analysis, Evaluation, Goodness of Fit
McKinley, Robert L.; Reckase, Mark D. – 1984
A new procedure is proposed for developing, evaluating, and implementing routing procedures for use with individualized instruction programs. An item response theory model for describing the relationship between performance on sequentially arranged units of instruction, and procedures for using the model to evaluate sequential relationships and…
Descriptors: Estimation (Mathematics), Individualized Instruction, Latent Trait Theory, Mastery Tests
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

Feidler, Anita; Hurt, C. D. – Library and Information Science Research, 1986
Examines information transfer in atmospheric physics by tracing one paper through five years of citations and suggesting patterns for highly cited papers. The results are also discussed in terms of information transfer in a popularized environment, as stratospheric aerosols have been prominently discussed in the popular press. (Author/EM)
Descriptors: Citation Analysis, Information Transfer, Intellectual Disciplines, Mass Media
Strube, Michael J. – 1986
A general model is described which can be used to represent the four common types of meta-analysis: (1) estimation of effect size by combining study outcomes; (2) estimation of effect size by contrasting study outcomes; (3) estimation of statistical significance by combining study outcomes; and (4) estimation of statistical significance by…
Descriptors: Comparative Analysis, Effect Size, Mathematical Models, Meta Analysis