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Sak, Ugur – Roeper Review, 2009
In this study, psychometric properties of the test of the three-mathematical minds (M3) were investigated. The M3 test was developed based on a multidimensional conception of giftedness to identify mathematically talented students. Participants included 291 middle-school students. Data analysis indicated that the M3 had a 0.73 coefficient as a…
Descriptors: Academically Gifted, Factor Analysis, Psychometrics, Ability Identification
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Rodgers, Joseph Lee; Thompson, Tony D. – Applied Psychological Measurement, 1992
A flexible data analysis approach is proposed that combines the psychometric procedures seriation and multidimensional scaling. The method, which is particularly appropriate for analysis of proximities containing temporal information, is illustrated using a matrix of cocitations in publications by 18 presidents of the Psychometric Society.…
Descriptors: Citations (References), Cluster Analysis, Mathematical Models, Matrices
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Lingoes, James C.; Borg, Ingwer – Psychometrika, 1978
A family of models for the representation and assessment of individual differences for multivariate data called PINDIS (Procrustean Individual Differences Scaling) is presented. PINDIS sheds new light on the interpretability and applicability of a variety of multidimensional scaling models. (Author/JKS)
Descriptors: Computer Programs, Individual Differences, Mathematical Models, Multidimensional Scaling
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Schonemann, Peter H. – Psychometrika, 1972
Paper shows that an obvious generalization of the subjective metrics model by Bloxom, Horan, Carroll and Chang has a very simple algebraic solution which was previously considered by Meredith in a different context. (Author)
Descriptors: Algebra, Analytic Geometry, Mathematical Models, Measurement Techniques
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Holman, Eric W. – Psychometrika, 1972
Two models for psychological distances, the hierarchical clustering model and the multidimensional Euclidean model, are compared to see how they relate to each other. (Author/RK)
Descriptors: Geometric Concepts, Mathematical Applications, Mathematical Models, Multidimensional Scaling
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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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Tucker, Ledyard R. – Psychometrika, 1972
Descriptors: Factor Analysis, Factor Structure, Mathematical Models, Mathematics
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Levine, Joel H. – Psychometrika, 1979
Social and naturally occurring choice phenomena are often of the "pick any" type in which the number of choices made by a subject as well as the set of alternatives from which they are chosen is unconstrained. A model and scaling method for these data are introduced. (Author/JKS)
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Multidimensional Scaling
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Lindstrom, Berner – 1983
The aim of this paper is to explore the Rasch model as a criterion of test homogeneity. Two empirical studies are presented to demonstrate this usage. From these studies it is argued that statistical tests of item characteristic curve (ICC) slopes are not sufficient in testing for heterogeneity. Tests of equality of ICC's over groups of subject…
Descriptors: Elementary Secondary Education, Latent Trait Theory, Mathematical Models, Multidimensional Scaling
Reckase, Mark D.; McKinley, Robert L. – 1982
This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…
Descriptors: Estimation (Mathematics), Higher Education, Latent Trait Theory, Mathematical Models
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Marsh, Herbert W.; Richards, Gary E. – Multivariate Behavioral Research, 1987
The factorial structure of the Rotter Internal-External (IE) scale was examined. While there was strong evidence against the unidimensionality of the Rotter scale, the findings suggested that the first-order factors do define a single higher-order construct that may represent the generalized IE construct. (Author/LMO)
Descriptors: Construct Validity, Factor Analysis, Factor Structure, Goodness of Fit
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Gitomer, Drew H.; Yamamoto, Kentaro – Journal of Educational Measurement, 1991
A model integrating latent trait and latent class theories in characterizing individual performance on the basis of qualitative understanding is presented. This HYBRID model is illustrated through experiments with 119 Air Force technicians taking a paper-and-pencil test and 136 Air Force technicians taking a computerized test. (SLD)
Descriptors: Comparative Testing, Computer Assisted Testing, Educational Assessment, Item Response Theory
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Kloot, Willem A. van der; Herk, Hester van – Multivariate Behavioral Research, 1991
Two sets of real sorting data from 50 college students are used to compare results of multidimensional scaling of raw co-occurrence frequencies or dissimilarity measures (D) and profile distances (delta) to determine which yields a better representation of the underlying structure of 2 sets of stimuli. Slight differences are discussed. (SLD)
Descriptors: Classification, Cognitive Processes, College Students, Comparative Analysis
Mellenbergh, Gideon J.; Vijn, Pieter – 1980
Data are summarized in Scheuneman's Score x Group x Response frequency table in order to investigate item bias. The data can arise from two different sampling models: (1) multinomial sampling in which a fixed sample size is used and the responses are cross-classified according to score, group, and response; and (2) product-multinomial sampling in…
Descriptors: Black Students, Cognitive Measurement, Foreign Countries, Latent Trait Theory