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What Works Clearinghouse Rating
Takane, Yoshio – 1980
A maximum likelihood estimation procedure is developed for the simple and the weighted additive models. The data are assumed to be taken by either one of the following methods: (1) categorical ratings--the subject is asked to rate a set of stimuli with respect to an attribute of the stimuli on rating scales with a relatively few observation…
Descriptors: Data Collection, Elementary Education, Factor Analysis, Mathematical Models
Peer reviewedKrus, David J. – Applied Psychological Measurement, 1978
The Cartesian theory of dimensionality (defined in terms of geometric distances between points in the test space) and Leibnitzian theory (defined in terms of order-generative connected, transitive, and asymmetric relations) are contrasted in terms of the difference between a factor analysis and an order analysis of the same data. (Author/CTM)
Descriptors: Factor Analysis, Mathematical Models, Matrices, Multidimensional Scaling
Peer reviewedBart, William M. – Applied Psychological Measurement, 1978
Two sets of five items each from the Law School Admission Test were analyzed by two methods of factor analysis, and by the Krus-Bart ordering theoretic method of multidimensional scaling. The results indicated a conceptual gap between latent trait theoretic procedures and order theoretic procedures. (Author/CTM)
Descriptors: Factor Analysis, Higher Education, Mathematical Models, Matrices
Peer reviewedBechtel, Gordon G.; And Others – Psychometrika, 1971
Contains a solution for the multidimensional scaling of pairwise choice when individuals are represented as dimensional weights. The analysis supplies an exact least squares solution and estimates of group unscalability parameters. (DG)
Descriptors: Data Analysis, Mathematical Models, Measurement Techniques, Multidimensional Scaling
Peer reviewedLangeheine, Rolf – Psychometrika, 1982
The degree to which Procrustean Individual Differences Scaling can be extended to related topics such as target analysis is discussed and a Monte Carlo study investigating the fit of the model under various conditions is presented. (JKS)
Descriptors: Data Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Peer reviewedAnd Others; Carroll, J. Douglas – Psychometrika, 1980
A data analysis model called CANDELINC performs a broad range of multidimensional data analyses. The model allows for the incorporation of general linear constraints. Several examples are presented. (JKS)
Descriptors: Factor Analysis, Least Squares Statistics, Mathematical Models, Multidimensional Scaling
Peer reviewedCliff, Norman – Applied Psychological Measurement, 1977
An attempt was made to validate for sentence type items a mathematical model for inventory response. Data were gathered from subjects responding under candid and under faking sets. In the former case only limited support for the model was found, but in the latter it seemed highly relevant. (Author/RC)
Descriptors: Cognitive Processes, Individual Differences, Mathematical Models, Multidimensional Scaling
Peer reviewedWinsberg, Suzanne; De Soete, Geert – Psychometrika, 1993
A weighted Euclidean distance model is proposed that incorporates a latent class approach (CLASCAL). The contribution to the distance function between two stimuli is per dimension weighted identically by all subjects in the same latent class. A model selection strategy is proposed and illustrated. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Mathematical Models
Peer reviewedEverett, James E.; Pecotich, Antony – Journal of the American Society for Information Science, 1991
Discussion of journals and the nature of their interrelationships focuses on a loglinear model of citation frequency that allows an examination of the influence between journals of related disciplines. Multidimensional scaling (MDS) is described, and an example using the Social Sciences Citation Index (SSCI) and journals relating to marketing is…
Descriptors: Citation Analysis, Citations (References), Intellectual Disciplines, Marketing
Peer reviewedGleason, John R.; Halperin, Silas – Psychometrika, 1975
Investigation of the effects of a series of treatment conditions upon some social behaviors may require observation of subjects mutually paired, in round-robin fashion. Data arising from such experiments are difficult to analyze, partly because they do not fit neatly into standard designs. A model is presented. (Author/BJG)
Descriptors: Behavioral Science Research, Experimental Groups, Interaction Process Analysis, Mathematical Models
Peer reviewedBrady, Henry E. – Psychometrika, 1985
The properties of nonmetric multidimensional scaling one explored by specifying statistical models, proving statistical consistency, and devloping hypothesis testing procedures. Statistical models with errors in the dependent and independent variables are described for quantitative and qualitative data. (Author/LMO)
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Maximum Likelihood Statistics
Peer reviewedDeSoete, Geert; Carroll, J. Douglas – Psychometrika, 1983
After introducing some extensions of a recently proposed probabilistic vector model for representing paired comparisons choice data, an iterative procedure for obtaining maximum likelihood estimates of the model parameters is developed. The possibility of testing various hypotheses is discussed and the algorithm is applied to some existing data…
Descriptors: Attitude Measures, Goodness of Fit, Mathematical Models, Maximum Likelihood Statistics
Peer reviewedMacCallum, Robert C. – Psychometrika, 1976
Concerned with consequences of employing the INDSCAL model when one of its assumptions are known to be violated. Under study is the notion that all individuals perceive the object space dimensions to be independent. (RC)
Descriptors: Factor Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Peer reviewedAnd Others; Takane, Yoshio – Psychometrika, 1980
An individual differences additive model is discussed which represents individual differences in additivity by differential weighting or additive factors. A procedure for estimating model parameters for various data measurement characteristics is developed. The method is found to be very useful in describing certain types of developmental change…
Descriptors: Algorithms, Data Analysis, Least Squares Statistics, Mathematical Models
Peer reviewedThompson, Paul – Applied Psychological Measurement, 1989
Monte Carlo techniques were used to examine regression approaches to external unfolding. The present analysis examined the technique to determine if various characteristics of the points are recovered (such as ideal points). Generally, monotonic analyses resulted in good recovery. (TJH)
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Monte Carlo Methods


