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Burrell, Quentin L. – Journal of the American Society for Information Science and Technology, 2003
Shows how the ideas propounded in the notion of Type/Token-Taken (T/TT) informetrics relate to ones that are already well known in informetrics and resolves some of the specific problems posed. (MES)
Descriptors: Information Science, Mathematical Applications, Mathematical Models, Problems

Thompson, Bruce – Educational and Psychological Measurement, 1997
A general linear model framework is used to suggest that structure coefficients ought to be interpreted in structural equation modeling confirmatory factor analysis (CFA) studies in which factors are correlated. Two heuristic data sets make the discussion concrete, and two additional studies illustrate the benefits of CFA structure coefficients.…
Descriptors: Factor Analysis, Mathematical Models, Structural Equation Models

Otsu, Tatsuo; Saito, Takayuki – Psychometrika, 1990
A revision of the initialization strategy is suggested for OSMOD, a method of nonlinear principal component analysis for multivariate nominal and/or ordinal data. The revision is effective in diminishing the possibility of obtaining locally optimal solutions with categorical data provided by the original version of OSMOD. (SLD)
Descriptors: Computer Software Development, Mathematical Models, Multivariate Analysis

Kaplan, David – Multivariate Behavioral Research, 1989
Model modification problems in covariance structure analysis are examined. The Modification Index, suggesting modifications based on a test statistic's largest drop in overall value, and the Expected Parameter Change, suggesting modifications based on the removal of large specification errors, are applied to two specifications of the Wisconsin…
Descriptors: Mathematical Models, Statistical Analysis, Theory Practice Relationship

ten Berge, Jos M. F.; Kiers, Henk A. L. – Psychometrika, 1989
Centering a matrix row-wise and rescaling it column-wise to a unit sum of squares requires an iterative procedure. It is shown that this procedure converges to a stable solution that need not be centered row-wise. The results bear directly on several types of preprocessing methods in Parafac/Candecomp. (Author/TJH)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Matrices

Hopkins, Kenneth D.; Hester, Peter R. – Educational and Psychological Measurement, 1995
Relationships among the noncentrality parameter for the "F" distribution, mean square between and within groups, and effect size are examined. (Author)
Descriptors: Effect Size, Groups, Mathematical Models, Statistical Distributions

Chen, Guoqing; And Others – Journal of the American Society for Information Science, 1992
Discusses the problem of data redundancy in a fuzzy relational data model and describes three existing frameworks of fuzzy data representation and redundancy treatment. A new treatment based on Zadeh's extension principle is proposed. (18 references) (MES)
Descriptors: Data, Data Analysis, Databases, Mathematical Models

Mooijaart, Ab; van der Heijden, Peter G. M. – Psychometrika, 1992
It is shown that it is not easy to apply the EM algorithm to latent class models in the general case with equality constraints because a nonlinear equation has to be solved. A simpler condition is given in which the EM algorithm can be easily applied. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Mathematical Models

Yokoo, Hidetoshi – Information Processing & Management, 1994
Discusses the adaptive compression of computer files of numerical data whose statistical properties are not given in advance. A new lossless coding method for this purpose, which utilizes Adelson-Velskii and Landis (AVL) trees, is proposed. The method is effective to any word length. Its application to the lossless compression of gray-scale images…
Descriptors: Coding, Information Storage, Information Theory, Mathematical Models

Jaccard, James; And Others – Multivariate Behavioral Research, 1990
Issues in the detection and interpretation of interaction effects between quantitative variables in multiple regression analysis are discussed. Recent discussions associated with problems of multicollinearity are reviewed in the context of the conditional nature of multiple regression with product terms. (TJH)
Descriptors: Equations (Mathematics), Mathematical Models, Multiple Regression Analysis

Guadagnoli, Edward; Velicer, Wayne – Multivariate Behavioral Research, 1991
In matrix comparison, the performance of four vector matching indices (the coefficient of congruence, the Pearson product moment correlation, the "s"-statistic, and kappa) was evaluated. Advantages and disadvantages of each index are discussed, and the performance of each was assessed within the framework of principal components…
Descriptors: Comparative Analysis, Factor Analysis, Mathematical Models, Matrices

van Buuren, Stef; de Leeuw, Jan – Multivariate Behavioral Research, 1992
Application of equality constraints on the categories of a variable is a simple and useful extension of multiple correspondence analysis. Equality is an easy way to incorporate prior knowledge. A procedure to deal with unequal category numbers and with subsets of variables is outlined and illustrated. (SLD)
Descriptors: Classification, Knowledge Level, Mathematical Models, Multivariate Analysis

Krijnen, Wim P.; Ten Berge, Jos M. F. – Applied Psychological Measurement, 1992
PARAFAC is a generalization of principal components analysis in a factor score matrix and in a factor loadings matrix. How PARAFAC behaves when applied to positive manifold data is examined, and a constrained PARAFAC method is offered for use when PARAFAC does not produce a positive manifold solution. (SLD)
Descriptors: Equations (Mathematics), Factor Analysis, Mathematical Models, Scores

Egghe, Leo; Rousseau, Ronald – Information Processing and Management, 1993
Studies the evolution of information production processes and their relation to the Lorenz dominance order as a theoretical framework for bibliometrics. The relation between the total number of sources, the total number of items, the average production, and the maximum production are examined. Geometric illustrations are provided. (Contains 14…
Descriptors: Bibliometrics, Mathematical Formulas, Mathematical Models, Vectors (Mathematics)

Edwards, Allen L.; Gonzalez, Richard – Applied Psychological Measurement, 1993
A simplified version of successive intervals scaling is described. Scale values for various datasets obtained with simplified successive intervals scaling are approximately linearly related to those obtained with traditional successive intervals scaling and the method of pair comparisons. The ease of use and some cautions in method use are…
Descriptors: Attitude Measures, Mathematical Models, Research Methodology, Scaling