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Lord, Frederic M. – Psychometrika, 1971
A two-stage testing procedure, a routing test followed by one of several alternative second-stage tests, is studied in the situation where the purpose is measurement, not classification. Models are developed, examined, and compared with conventional tests and up-and-down procedures. (DG)
Descriptors: Guessing (Tests), Mathematical Models, Measurement Techniques, Scoring
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Goldberger, Arthur S. – Psychometrika, 1971
Several themes which are common to both econometrics and psychometrics are surveyed. The themes are illustrated by reference to permanent income hypotheses, simultaneous equation models, adaptive expectations and partial adjustment schemes, and by reference to test score theory, factor analysis, and time-series models. (Author)
Descriptors: Economics, Factor Analysis, Mathematical Models, Multiple Regression Analysis
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Froemel, Ernest C. – Psychometrika, 1971
Saunder's routine, Buhler's empirical approximation, and Castellan's series expansion are compared. Saunder's routine was identified as an acceptably accurate method. (PR)
Descriptors: Comparative Analysis, Computer Programs, Correlation, Factor Analysis
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Luftig, Jeffrey T. – Journal of Studies in Technical Careers, 1983
This article reviews some of the less well-known hypothesis tests for variance, how they are employed, and how the results may be interpreted. Tests include testing for a single variance and the T-test for correlated variances. (CT)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
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Rozeboom, William W. – Journal of Educational Statistics, 1981
Browne's definitive but complex formulas for the cross-validational accuracy of an OSL-estimated regression equation in the random-effects sampling model are here reworked to achieve greater perspicuity and extended to include the fixed-effects sampling model. (Author)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Research Design
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Marascuilo, Leonard A.; Slaughter, Robert E. – Journal of Educational Measurement, 1981
Six statistical methods for identifying possible sources of bias in standardized test items are presented. The relationship between chi-squared methods and item-response theory methods are also discussed. (Author/BW)
Descriptors: Comparative Analysis, Latent Trait Theory, Mathematical Models, Standardized Tests
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And 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
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Wilcox, Rand R. – Educational and Psychological Measurement, 1980
Technical problems in achievement testing associated with using latent structure models to estimate the probability of guessing correct responses by examinees is studied; also the lack of problems associated with using Wilcox's formula score. Maximum likelihood estimates are derived which may be applied when items are hierarchically related.…
Descriptors: Guessing (Tests), Item Analysis, Mathematical Models, Maximum Likelihood Statistics
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Jacob, Brian A. – Economics of Education Review, 2002
Uses national longitudinal data set of 8th-graders to examine 2 potential explanations (returns to schooling and noncognitive skills) for the fact that nearly 60 percent of today's college students are women. Finds that higher noncognitive skills and college premiums among women account for nearly 90 percent of the gender gap in higher education.…
Descriptors: Attendance Patterns, College Students, High School Graduates, Mathematical Models
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Viernstein, Nikolaus – Educational and Psychological Measurement, 1990
A new coefficient--psi-star--is presented for measuring agreement on bidirectional response continua. The coefficient is designed to measure agreement in larger square contingency tables with even numbers of rows and columns. Advantages of the procedure are discussed. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Rating Scales
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Reise, Steve P.; Yu, Jiayuan – Journal of Educational Measurement, 1990
Parameter recovery in the graded-response model was investigated using the MULTILOG computer program under default conditions. Results from 36 simulated data sets suggest that at least 500 examinees are needed to achieve adequate calibration under the graded model. Sample size had little influence on the true ability parameter's recovery. (SLD)
Descriptors: Computer Assisted Testing, Computer Simulation, Computer Software, Estimation (Mathematics)
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Kiers, Henk A. L. – Psychometrika, 1989
An alternating least squares algorithm is offered for fitting the DEcomposition into DIrectional COMponents (DEDICOM) model for representing asymmetric relations among a set of objects via a set of coordinates for the objects on a limited number of dimensions. An algorithm is presented for fitting the IDIOSCAL model in the least squares sense.…
Descriptors: Algorithms, Estimation (Mathematics), Goodness of Fit, Least Squares Statistics
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Boik, Robert J. – Psychometrika, 1988
Both doubly multivariate and multivariate mixed models of analyzing repeated measures on multivariate responses are reviewed. Given multivariate normality, a condition called multivariate sphericity of the covariance matrix is both necessary and sufficient for the validity of the multivariate mixed model analysis. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Mathematical Models, Matrices
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Wright, Benjamin D. – Mid-Western Educational Researcher, 1994
"Composition analysis" refers to the mathematics of how component measures combine to produce composite measures based on Bookstein's functions. Composition analysis is applied to the different ways group members might work together such that their individual measures can be combined mathematically to calculate an expected measure for…
Descriptors: Group Dynamics, Groups, Mathematical Formulas, Mathematical Models
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Bosse, Michael J. – Mathematics Teacher, 2005
Modeling data behavior is differentiated from statistically determining a best-fit regression function, as it allows students to develop functions that hold certain attributes in respect to a set of data. Three techniques for developing polynomial models are demonstrated that afford students optional methods for determining appropriate polynomial…
Descriptors: Goodness of Fit, Mathematical Models, Mathematical Formulas, Mathematics Education
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