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Borg, Ingiver; Lingoes, James C. – Psychometrika, 1980
A method for externally constraining certain distances in multidimensional scaling configurations is introduced and illustrated. The method is described in detail and several examples are presented. (Author/JKS)
Descriptors: Algorithms, Hypothesis Testing, Mathematical Models, Multidimensional Scaling
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Lehner, Paul E.; Norma, Elliot – Psychometrika, 1980
A new algorithm is used to test and describe the set of all possible solutions for any linear model of an empirical ordering derived from techniques such as additive conjoint measurement, unfolding theory, general Fechnerian scaling, and ordinal multiple regression. The algorithm is computationally faster and numerically superior to previous…
Descriptors: Algorithms, Mathematical Models, Measurement, Multiple Regression Analysis
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Wood, Phillip – Multivariate Behavioral Research, 1992
Two Statistical Analysis System (SAS) macros are presented that perform the modified principal components approach of L. R. Tucker (1966) to modeling generalized learning curves analysis up to a rotation of the components. Three SAS macros are described that rotate the factor patterns to have characteristics Tucker considered desirable. (SLD)
Descriptors: Algorithms, Change, Computer Software, Factor Analysis
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Collins, Linda M.; Wugalter, Stuart E. – Multivariate Behavioral Research, 1992
A simulation study was conducted to determine whether latent class model parameters are recovered adequately by Latent Transition Analysis (LTA). Results indicate that parameter recovery is satisfactory overall and that the benefits of adding indicators outweigh the costs. Additional indicators also improve standard errors. An example of LTA is…
Descriptors: Algorithms, Computer Simulation, Longitudinal Studies, Mathematical Models
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Rindskopf, David – Psychometrika, 1992
A general approach is described for the analysis of categorical data when there are missing values on one or more observed variables. The method is based on generalized linear models with composite links. Situations in which the model can be used are described. (SLD)
Descriptors: Algorithms, Classification, Data Analysis, Estimation (Mathematics)
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Belbin, Lee; And Others – Multivariate Behavioral Research, 1992
A method for hierarchical agglomerative polythetic (multivariate) clustering, based on unweighted pair group using arithmetic averages (UPGMA) is compared with the original beta-flexible technique, a weighted average method. Reasons the flexible UPGMA strategy is recommended are discussed, focusing on the ability to recover cluster structure over…
Descriptors: Algorithms, Cluster Analysis, Comparative Analysis, Equations (Mathematics)
Flournoy, Nancy – 1989
Designs for sequential sampling procedures that adapt to cumulative information are discussed. A familiar illustration is the play-the-winner rule in which there are two treatments; after a random start, the same treatment is continued as long as each successive subject registers a success. When a failure occurs, the other treatment is used until…
Descriptors: Algorithms, Evaluation Methods, Mathematical Models, Research Design
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Musa, F. A. – Journal of the American Society for Information Science, 1986
The production of high quality Arabic-English text poses technical problems that are caused mainly by the high degree of syntactical flexibility which characterizes the Arabic language. This article describes a system which offers some solutions to the problems encountered in processing bilingual Arabic-English text. (Author/EM)
Descriptors: Algorithms, Arabic, English, Mathematical Models
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Rigdon, Steven E.; Tsutakawa, Robert K. – Psychometrika, 1983
Latent trait test models for responses to dichotomously scored items are considered from the point of view of parameter estimation using a Bayesian statistical approach and the EM estimation algorithm. An example using the Rasch model is presented. (Author/JKS)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
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Goldberger, Arthur S.; Joreskog, Karl G. – Psychometrika, 1972
Descriptors: Algorithms, Factor Analysis, Least Squares Statistics, Mathematical Models
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Lee, Sik-Yum; And Others – Psychometrika, 1989
The frequencies of "m" independent "p-way" contingency tables are analyzed by a model that assumes that the ordinal category data in each of "m" groups are generated from a latent continuous multivariate normal distribution. The model permits analysis of several groups of individuals simultaneously. (TJH)
Descriptors: Algorithms, Equations (Mathematics), Mathematical Models, Multivariate Analysis
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van der Linden, Wim J.; Boekkooi-Timminga, Ellen – Psychometrika, 1989
A maximin model for test design based on item response theory is proposed. Only the relative shape of target test information function is specified. It serves as a constraint subject to which a linear programing algorithm maximizes the test information. The model is illustrated, and alternative models are discussed. (TJH)
Descriptors: Algorithms, Latent Trait Theory, Linear Programing, Mathematical Models
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Kiers, Henk A. L.; ten Berge, Jos M. F. – Psychometrika, 1992
A procedure is described for minimizing a class of matrix trace functions, which is a refinement of an earlier procedure for minimizing the class of matrix trace functions using majorization. Several trial analyses demonstrate that the revised procedure is more efficient than the earlier majorization-based procedure. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Least Squares Statistics, Mathematical Models
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ten Berge, Jos M. F. – Psychometrika, 1991
A globally optimal solution is presented for a class of functions composed of a linear regression function and a penalty function for the sums of squared regression weights. A completing-the-squares approach is used, rather than calculus, because it yields global minimality easily in two of three cases examined. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Mathematical Models, Matrices
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ten Berge, Jos M. F.; Zegers, Frits E. – Multivariate Behavioral Research, 1990
Arguments by J. Levin (1988) challenging the convergence properties of the Harman and Jones (1966) method of Minres factor analysis are shown to be invalid. Claims about the invalidity of a rank-one version of the Harman and Jones method are also refuted. (TJH)
Descriptors: Algorithms, Comparative Analysis, Equations (Mathematics), Factor Analysis
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