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Sands, Richard; Young, Forrest W. – Psychometrika, 1980
A review of existing techniques for the analysis of three-way data revealed that none were appropriate to the wide variety of data usually encountered in psychological research, and few were capable of both isolating common information and systematically describing individual differences. Such a model is developed and evaluated. (Author/JKS)
Descriptors: Algorithms, Least Squares Statistics, Mathematical Models, Measurement
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Choulakian, Vartan – Psychometrika, 1988
L. A. Goodman's loglinear formulation for bi-way contingency tables is extended to tables with or without missing cells and is used for exploratory purposes. Three-way tables and generalizations of correspondence analysis are deduced, and a generalized version of Goodman's algorithm is used to estimate scores in all cases. (Author/TJH)
Descriptors: Algorithms, Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics
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McDonald, Roderick P.; Hartmann, Wolfgang M. – Multivariate Behavioral Research, 1992
An algorithm for obtaining initial values for the minimization process in covariance structure analysis is developed that is more generally applicable for computing parameters connected to latent variables than the currently existing ones. The algorithm is formulated in terms of the RAM model but can be extended. (SLD)
Descriptors: Algorithms, Correlation, Equations (Mathematics), Estimation (Mathematics)
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Arabie, Phipps – Psychometrika, 1991
The current state of multidimensional scaling using the city-block metric is reviewed, with attention to (1) substantive and theoretical issues; (2) recent algorithmic developments and their implications for analysis; (3) isometries with other metrics; (4) links to graph-theoretic models; and (5) prospects for future development. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Graphs, Literature Reviews
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Kiers, Henk A. L.; Takane, Yoshio – Psychometrika, 1993
The DEcomposition into DIrectional COMponents (DEDICOM) method for analysis of asymmetric data gives representations that are identified only up to a non-singular transformation. To identify solutions, it is proposed that subspace constraints be imposed on the stimulus coefficients. Procedures are discussed for several cases. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Least Squares Statistics, Mathematical Models
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Baker, Bruce D. – Economics of Education Review, 2001
Explores whether flexible nonlinear models (including neural networks and genetic algorithms) can reveal otherwise unexpected patterns of relationship in typical school-productivity data. Applying three types of algorithms alongside regression modeling to school-level data in 183 elementary schools proves the hypothesis and reveals new directions…
Descriptors: Algorithms, Elementary Education, Evaluation Methods, Mathematical Models
Bierschenk, Bernhard – 1991
Implicit figuration and subjective interpretation make up the conventional basis of the classical discussion of the comprehensiveness and aesthetic quality of the metaphor. Its function and use in social science research is illustrated as a background to a radically different methodological approach. By means of a Perspective Text Analysis, it is…
Descriptors: Algorithms, Foreign Countries, Mathematical Models, Metaphors
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Polson, Peter G.; Huizinga, David – Psychometrika, 1974
Descriptors: Algorithms, Computer Programs, Goodness of Fit, Learning Processes
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Herman, Gabor T.; Vitanyi, Paul M. B. – American Mathematical Monthly, 1976
Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)
Descriptors: Algebra, Algorithms, Biology, College Mathematics
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Wolper, James; Trudell, Libby – Journal of Library Automation, 1978
A mathematical model of a regional interlibrary loan system was developed as a tool for the design and evaluation of a strategy to equalize the load of Interlibrary Loans (ILL) of libraries in the system. The load-leveling capability of several algorithms for representing each library's ILL activity was tested. (Author/VT)
Descriptors: Algorithms, Interlibrary Loans, Library Networks, Mathematical Models
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Bartschi, Martin – Information Processing and Management, 1985
Presents a general mathematical framework for information retrieval, in which query evaluation is seen as a mapping from the free term algebra built by query descriptors and weights to the semantic algebra of evaluation value. Competing mathematical models that try to describe how retrieval systems behave are reviewed. (Author/MBR)
Descriptors: Algebra, Algorithms, Evaluation Methods, Information Retrieval
Andor, Csaba; And Others – Evaluation in Education: An International Review Series, 1985
The Galois-lattice is a graphic method for representing all possible developmental phases to reach a given total knowledge via different partial knowledge structures. Algorithms are proposed for incorporating statistical analysis into the Galois-lattice method. A comparison to the Rasch model and application for educational research are given. (BS)
Descriptors: Algorithms, Educational Research, Elementary Secondary Education, Mathematical Models
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Hoc, Hoang Hai – Management Science, 1973
Provides a solution method for the problem of finding an optimal traffic network in its simplest form where there are no congestion costs. (Author)
Descriptors: Algorithms, Computational Linguistics, Computer Programs, Mathematical Logic
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Costa Pereira, D.J.V.; Maskill, R. – British Journal of Educational Psychology, 1983
Suggests a method for analyzing structure and process in prose using algorithms based on graph theory and rules based in syntax. Describes application of the method to essays written by 52 fourteen year old pupils on a newly learned topic in chemistry. (Author/GC)
Descriptors: Algorithms, Behavior, Evaluation Methods, Graphs
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Kiers, Henk A. L. – Psychometrika, 1997
A general approach for fitting a model to a data matrix by weighted least squares (WLS) is studied. The approach consists of iteratively performing steps of existing algorithms for ordinary least squares fitting of the same model and is based on maximizing a function that majorizes WLS loss function. (Author/SLD)
Descriptors: Algorithms, Goodness of Fit, Least Squares Statistics, Mathematical Models
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