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What Works Clearinghouse Rating
Peer reviewedManly, B. F. J. – Educational and Psychological Measurement, 1973
A listing of the program, together with an example of its use, can be obtained from the author. (Author)
Descriptors: Computer Programs, Input Output, Intervals, Mathematical Models
Peer reviewedTuinman, J. Jaap – Psychometrika, 1973
When teaching elementary concepts on information theory a problem keeps reoccurring which, if only for pedagogical reasons, deserves discussion. (Author)
Descriptors: Concept Formation, Data Analysis, Information Theory, Mathematical Models
Peer reviewedLowery, Lawrence F.; Allen, Leslie R. – School Science and Mathematics, 1973
Descriptors: Classification, Elementary School Mathematics, Mathematical Models, Mathematics Education
Peer reviewedNesselroade, John R. – Psychometrika, 1972
The longitudinal factor analysis" model, which uniquely resolves factors from two occasions of data representing the same persons measured on the same test battery, is shown to be derivable by application of canonical correlation procedures to factor scores. (Author)
Descriptors: Factor Analysis, Longitudinal Studies, Mathematical Models, Multivariate Analysis
Peer reviewedCapra, J. R.; Elster, R. S. – Educational and Psychological Measurement, 1971
This method of generating multivariate data differs from previous techniques in that it uses Crout factorization to develop the desired variance-covariance matrix. (Author/CK)
Descriptors: Computer Programs, Mathematical Models, Mathematics, Multiple Regression Analysis
Peer reviewedLindsay, Carl A.; Prichard, Mark A. – Journal of Educational Measurement, 1971
Descriptors: Equated Scores, Goodness of Fit, Mathematical Models, Scores
Peer reviewedLingoes, James C. – Psychometrika, 1971
Descriptors: Algebra, Data Analysis, Geometric Concepts, Mathematical Models
Peer reviewedHolland, Paul W. – Psychometrika, 1981
Deciding whether sets of test data are consistent with any of a large class of item response models is considered. The assumption of local independence is weakened to a new condition, local nonnegative dependence (LND). Necessary and sufficient conditions are derived for a LND item response model. (Author/JKS)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Psychometrics
Peer reviewedYeshurun, Shraga – International Journal of Mathematical Education in Science and Technology, 1980
Presented is an example meant to enable students with a scant mathematical education to grasp the meaning of the limit of the binomial distribution. (Author/TG)
Descriptors: Higher Education, Mathematical Concepts, Mathematical Models, Mathematics Education
Peer reviewedGoodman, Leo A. – Psychometrika, 1979
An iterative procedure to obtain maximum likelihood estimates of latent structure analysis parameters is described. The procedure is defended against a critic (EJ 187 975) who contended that it would permit unacceptable estimates. (JKS)
Descriptors: Data Analysis, Mathematical Models, Maximum Likelihood Statistics, Psychometrics
Peer reviewedEmery, Douglas R.; Barron, F. Hutton – Psychometrika, 1979
There are two complementary approaches to conjoint measurement: axiomatic and numerical. In this article, synthetic data are used to examine how well axiomatic and conjoint measurement methods, individually and comparatively, recover parameters from data with three dimensions. (JKS)
Descriptors: Comparative Analysis, Mathematical Models, Measurement, Psychometrics
Peer reviewedArminger, Gerhard; Schoenberg, Ronald J. – Psychometrika, 1989
Misspecification of mean and covariance structures for metric endogenous variables is considered. Maximum likelihood estimation of model parameters and the asymptotic covariance matrix of the estimates are discussed. A Haussman test for misspecification is developed, which is sensitive to misspecification not detected by the test statistics…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics
Peer reviewedSpence, Ian; Lewandowsky, Stephan – Psychometrika, 1989
A method for multidimensional scaling that is highly resistant to the effects of outliers is described. Some Monte Carlo simulations illustrate the efficacy of the procedure, which performs well with or without outliers. (SLD)
Descriptors: Estimation (Mathematics), Mathematical Models, Monte Carlo Methods, Multidimensional Scaling
Peer reviewedHarwell, Michael R. – Journal of Experimental Education, 1990
The nonparametric hypothesis-testing model of M. L. Puri and P. K. Sen (1969, 1985) circumvents concerns regarding the inapplicability of nonparametric statistics outside simple cases and the lack of pertinent computer programs. The breadth and flexibility of the model are illustrated with several examples. (TJH)
Descriptors: Educational Research, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
Peer reviewedTakane, Yoshio – Psychometrika, 1987
Ideal point discriminant analysis (IPDA) is proposed for the analysis of contingency tables of cross-classified data. Several data sets illustrate IPDA, which combines log-linear and dual scaling models to provide a spatial representation of row and column categories and allow statistical evaluation of various structural hypotheses about…
Descriptors: Educational Diagnosis, Goodness of Fit, Mathematical Models, Multidimensional Scaling


