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Maraun, Michael D.; And Others – Multivariate Behavioral Research, 1996
The issue of indeterminacy in factor analysis and the debate between the proposed alternative solution and posterior moment position are explored in an article and 14 commentaries and rebuttals in two rounds. Implications for applied work involving factor analysis are discussed. (SLD)
Descriptors: Factor Analysis, Factor Structure, Mathematical Models, Metaphors

Brown, Roger L. – Structural Equation Modeling, 1997
Reviews the use of structural equation modeling for providing an overall assessment of mediation, the mechanism that accounts for the relation between the predictor and the criterion. A strategy for supplemental details is presented that measures the magnitude of mediational effects. (SLD)
Descriptors: Computer Software, Mathematical Models, Predictor Variables, Structural Equation Models

Benoit, G. – Journal of the American Society for Information Science and Technology, 2002
Describes an information retrieval, visualization, and manipulation model which offers the user multiple ways to exploit the retrieval set, based on weighted query terms, via an interactive interface. Outlines the mathematical model and describes an information retrieval application built on the model to search structured and full-text files.…
Descriptors: Computer Interfaces, Information Retrieval, Mathematical Formulas, Mathematical Models

Rothkopf, Ernst Z. – Economics of Education Review, 2003
Presents model for analyzing the distribution and interaction costs of asynchronous distance courses with traditional on-campus courses. (PKP)
Descriptors: Cost Effectiveness, Courses, Distance Education, Higher Education

Edwards, Thomas G.; Chelst, Kenneth R. – Mathematics Teacher, 2002
Discusses students' exploration of a particular rational function in the context of people waiting in line for service. The concepts of domain, range, and asymptotes are also developed in that context as is the effect of changes in input variables on function outputs. (Author/NB)
Descriptors: Data Analysis, Mathematical Models, Problem Solving, Secondary Education

Stillman, Gloria – Teaching Mathematics and Its Applications, 2001
Examines the impact of a school-based assessment system on the implementation of an applications/modeling-based curriculum at the senior secondary level. The persistence of high task scaffolding in assessment tasks throughout the course and the concerns of teachers about the reliability and ownership of assessment in unsupervised conditions…
Descriptors: Evaluation, Foreign Countries, Mathematical Models, Mathematics Curriculum

Rost, Jurgen; Carstensen, Claus H. – Applied Psychological Measurement, 2002
Developed a multidimensional Rasch model that is a multidimensional extension of item component models and determined relations to existing multidimensional item response theory models. Applied the model to a questionnaire on students' interest in physics to demonstrate that model parameters can be estimated even when 17 latent dimensions are to…
Descriptors: Estimation (Mathematics), Item Response Theory, Mathematical Models, Physics

Pigott, Therese D. – Educational Research and Evaluation: An International Journal on Theory and Practice, 2001
Reviews methods for handling missing data in a research study. Model-based methods, such as maximum likelihood using the EM algorithm and multiple imputation, hold more promise than ad hoc methods. Although model-based methods require more specialized computer programs and assumptions about the nature of missing data, these methods are appropriate…
Descriptors: Computer Software, Mathematical Models, Maximum Likelihood Statistics, Research Methodology

Zucker, David M. – Educational and Psychological Measurement, 1990
A major pitfall with fixed-effects analysis of variance in the nested design is illustrated. Under the null hypothesis of no intervention effect, the rejection rate for "F(sub fixed)" in the nested design is greater than the putative Type I error rate of the test, potentially to an extreme degree. (Author/TJH)
Descriptors: Analysis of Variance, Equations (Mathematics), Mathematical Models, Research Problems

Millsap, Roger E.; And Others – Educational and Psychological Measurement, 1990
Sixteen tables are presented for critical values of the larger of two sample correlation coefficients from two independent samples, given the sample size and the value of the smaller correlation. These tables allow quick assessment of significance without requiring calculation of the test statistic. (SLD)
Descriptors: Correlation, Mathematical Models, Sample Size, Statistical Significance

Finstuen, Kenn – Educational and Psychological Measurement, 1989
A method based on three variance computations and some minor arithmetic is presented as an alternative to criterion-scale regression for the computation of a repeated measures-randomized blocks analysis of variance (RMBANOVA). The use of margin sum and cell variances can simplify the analysis of data for RMBANOVA. (SLD)
Descriptors: Analysis of Variance, Mathematical Models, Regression (Statistics), Statistical Analysis

Ridge, Richard S.; And Others – Evaluation Review, 1990
The problem associated with evaluating an econometric model using values outside those used in the model estimation is illustrated in the evaluations of a residential load management program during each of two successive years. Analysis reveals that attention must be paid to this problem. (Author/TJH)
Descriptors: Economic Research, Evaluation Methods, Mathematical Models, Program Evaluation

Cater, Steven C.; Kraft, Donald H. – Information Processing and Management, 1989
Describes the Waller-Kraft "wish list" of desired information retrieval system properties and identifies ambiguities caused by two distinct uses of the phrase "query term weight." Examples of problems arising from the ambiguity are given and a new list is created and discussed. (10 references) (Author/CLB)
Descriptors: Definitions, Functions (Mathematics), Information Retrieval, Mathematical Models

Goldstein, Harvey; McDonald, Roderick P. – Psychometrika, 1988
A general model is developed for the analysis of multivariate multilevel data structures. Special cases of this model include: repeated measures designs; multiple matrix samples; multilevel latent variable models; multiple time series and variance and covariance component models. (Author)
Descriptors: Equations (Mathematics), Mathematical Models, Matrices, Multivariate Analysis

Langeheine, Rolf – Journal of Educational Statistics, 1988
Manifest discrete time and latent Markov chain models are described, and the results given by each are compared for the re-analysis of a three-wave table of repeated behavior ratings of children. More recent developments in latent discrete time Markov chain modeling address the problems of the table more efficiently. (SLD)
Descriptors: Behavior Patterns, Children, Mathematical Models, Statistical Analysis