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Fornell, Claes; And Others – Multivariate Behavioral Research, 1988
This paper shows that redundancy maximization with J. K. Johansson's extension can be accomplished via a simple iterative algorithm based on H. Wold's Partial Least Squares. The model and the iterative algorithm for the least squares approach to redundancy maximization are presented. (TJH)
Descriptors: Algorithms, Equations (Mathematics), Least Squares Statistics, Mathematical Models
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Jones, Graham A.; And Others – Teaching Children Mathematics, 1996
Describes several activities of the Data and Chance program involving third and fourth graders. Students use real-life situations to investigate probability. (MKR)
Descriptors: Data Analysis, Elementary Education, Learning Activities, Mathematical Models
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Nelson, Douglas L.; And Others – Psychological Review, 1991
Results of a 15-year research program on how implicitly activated memories affect remembering are presented, and a model is proposed to describe such influences. Experiments with 240 college students to evaluate the exclusivity of sources of information in the models are described, and implications of the findings are discussed. (SLD)
Descriptors: Cognitive Processes, College Students, Encoding (Psychology), Higher Education
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Bordogna, Gloria; Pasi, Gabriella – Journal of the American Society for Information Science, 1993
Defines a fuzzy retrieval model as the basis for extending a weighted Boolean information retrieval system in which numeric query weights are replaced by linguistic descriptors that specify the degree of importance of the terms. A relevance classification process is described, and implementation and evaluation of the fuzzy retrieval model is…
Descriptors: Classification, Evaluation Methods, Information Retrieval, Linguistics
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Browne, Michael W. – Psychometrika, 1992
Structural models that yield circumplex inequality patterns are reviewed, focusing on a model developed by T. W. Anderson (1960). A modification is proposed to this model to allow for negative correlations. This model may be reparameterized as a factor analysis model with nonlinear constraints on the factor loadings. (SLD)
Descriptors: Correlation, Equations (Mathematics), Factor Analysis, Graphs
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Meulman, Jacqueline J. – Psychometrika, 1992
The distance approach to nonlinear multivariate analysis proposed by J. J. Meulman (1986) is reviewed. Several generalizations are discussed by combining features from the conventional multivariate analysis approach, which seeks weighted sums of variables, with the alternative approach, which seeks to fit distances. (SLD)
Descriptors: Equations (Mathematics), Factor Analysis, Graphs, Mathematical Models
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Sichel, H. S. – Journal of the American Society for Information Science, 1992
This study demonstrates that the number of references at the end of scientific research papers forms a strongly unimodal frequency distribution and that the generalized Gaussian-Poisson distribution fits such unimodal data extremely well. (three references) (Author/MES)
Descriptors: Bibliometrics, Citations (References), Mathematical Models, Research Reports
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Baker, Frank B. – Applied Psychological Measurement, 1992
The procedure of M.L. Stocking and F.M. Lord (1983) for computing equating coefficients for tests having dichotomously scored items is extended to the case of graded response items. A system of equations for obtaining the equating coefficients under the graded response model is derived. (SLD)
Descriptors: Equated Scores, Equations (Mathematics), Item Response Theory, Mathematical Models
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Schweizer, Karl – Applied Psychological Measurement, 1991
An equal-level approach is proposed for investigating multitrait-multimethod (MTMM) matrices with respect to other organizational units that contain additional information concerning a MTMM matrix's validity. The approach requires equality in "data level" before coefficients are submitted for evaluation. Disaggregation is central to…
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Mathematical Models
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Luijben, Thom C. W. – Psychometrika, 1991
The concept of equivalent models in covariance structure analysis is defined. A new theorem is presented that provides a necessary and sufficient condition for local equivalence of two models when a more constrained model is fitted. Practical guidelines are given for assuring that conditions of the theorem are satisfied. (SLD)
Descriptors: Chi Square, Decision Making, Equations (Mathematics), Goodness of Fit
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Huberty, Carl J.; Wisenbaker, Joseph M. – Journal of Educational Statistics, 1992
Interpretations of relative variable importance in multivariate analysis of variance are discussed, with attention to (1) latent construct definition; (2) linear discriminant function scores; and (3) grouping variable effects. Two numerical ranking methods are proposed and compared by the bootstrap approach using two real data sets. (SLD)
Descriptors: Analysis of Variance, Comparative Analysis, Equations (Mathematics), Mathematical Models
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Berry, Kenneth J.; Mielke, Paul W., Jr. – Educational and Psychological Measurement, 1992
A generalized measure of association and an associated test of significance are presented for nominal independent variables in which any number or combination of interval, ordinal, or nominal dependent variables can be analyzed. A permutation test of significance is provided for the new measure. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Multivariate Analysis
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Villasenor, John D. – Information Processing & Management, 1994
Describes a method for compressing tomographic images obtained using Positron Emission Tomography (PET) and Magnetic Resonance (MR) by applying transform compression using all available dimensions. This takes maximum advantage of redundancy of the data, allowing significant increases in compression efficiency and performance. (13 references) (KRN)
Descriptors: Coding, Comparative Analysis, Illustrations, Information Storage
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Kossentini, Faouzi; And Others – Information Processing & Management, 1994
Discusses a flexible, high performance subband coding system. Residual vector quantization is discussed as a basis for coding subbands, and subband decomposition and bit allocation issues are covered. Experimental results showing the quality achievable at low bit rates are presented. (13 references) (KRN)
Descriptors: Coding, Evaluation, Experiments, Illustrations
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Burrell, Quentin L. – Information Processing and Management, 1992
Investigates the Leimkuhler curve and the Gini index from a probabilistic viewpoint for studying the concentration of bibliometric distributions. The importance of the time parameter and the special nature of the "nonproducers" in bibliometric studies are examined, standard models of bibliometric processes are described, and further…
Descriptors: Bibliometrics, Mathematical Formulas, Mathematical Models, Measurement Techniques
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