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Velicer, Wayne F.; McDonald, Roderick P. – Multivariate Behavioral Research, 1991
The general transformation approach to time series analysis is extended to the analysis of multiple unit data by the development of a patterned transformation matrix. The procedure includes alternatives for special cases and requires only minor revisions in existing computer software. (SLD)
Descriptors: Cross Sectional Studies, Data Analysis, Generalizability Theory, Mathematical Models
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Mendoza, Jorge L.; And Others – Multivariate Behavioral Research, 1991
Using a Monte Carlo simulation, a bootstrap procedure was evaluated for setting a confidence interval on the unrestricted population correlation (rho) assuming various degrees of incomplete truncation on the predictor. Sample size was the most important factor in determining accuracy and stability. Sample size should be at least 50. (SLD)
Descriptors: Computer Simulation, Correlation, Estimation (Mathematics), Mathematical Models
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Cornell, John E.; And Others – Journal of Educational Statistics, 1992
This Monte Carlo simulation studied the relative power of 8 tests for sphericity in randomized block designs where sample size was small (10, 15, 20, and 30) and population covariance matrices of dimension-to-sample size ratio approached 1.0. The locally best invariant test demonstrated substantial power to detect departures from sphericity. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Monte Carlo Methods
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Muraki, Eiji – Applied Psychological Measurement, 1992
The partial credit model with a varying slope parameter is developed and called the generalized partial credit model (GPCM). Analysis results for simulated data by this and other polytomous item-response models demonstrate that the rating formulation of the GPCM is adaptable to the analysis of polytomous item responses. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Generalization, Item Response Theory
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Wilson, Mark – Applied Psychological Measurement, 1992
The ordered partition model is described as an extension of the partial credit model, its relationship to other models is discussed, and two examples are presented. The model is designed for a measurement context in which categories of response to an item cannot be completely ordered. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Measurement Techniques
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Meulman, Jacqueline J.; Verboon, Peter – Psychometrika, 1993
Points of view analysis, as a way to deal with individual differences in multidimensional scaling, was largely supplanted by the weighted Euclidean model. It is argued that the approach deserves new attention, especially as a technique to analyze group differences. A streamlined and integrated process is proposed. (SLD)
Descriptors: Cluster Grouping, Equations (Mathematics), Graphs, Groups
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Yeaton, William H.; Wortman, Paul M. – Evaluation Review, 1993
Current practices of reporting a single mean intercoder agreement in meta-analysis leads to systematic bias and overestimates reliability. An alternative is recommended in which average intercoder agreement statistics are calculated within clusters of coded variables. Two studies of intercoder agreement illustrate the model. (SLD)
Descriptors: Coding, Decision Making, Estimation (Mathematics), Interrater Reliability
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Fowler, Robert L. – Applied Psychological Measurement, 1992
A Monte Carlo simulation explored how to optimize power in the extreme groups strategy when sampling from nonnormal distributions. Results show that the optimum percent for the extreme group selection was approximately the same for all population shapes, except the extremely platykurtic (uniform) distribution. (SLD)
Descriptors: Construct Validity, Equations (Mathematics), Mathematical Models, Monte Carlo Methods
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Brown, R. L. – Educational and Psychological Measurement, 1991
The effect that collapsing ordered polytomous variable scales has on structural equation measurement model parameter estimates was examined. Four parameter estimation procedures were investigated in a Monte Carlo study. Collapsing categories in ordered polytomous variables had little effect when latent projection procedures were used. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Kaiser, Henry F.; Derflinger, Gerhard – Applied Psychological Measurement, 1990
The fundamental mathematical model of L. L. Thurstone's common factor analysis is reviewed, and basic covariance matrices of maximum likelihood factor analysis and alpha factor analysis are presented. The methods are compared in terms of computational and scaling contrasts. Weighting and the appropriate number of common factors are considered.…
Descriptors: Comparative Analysis, Equations (Mathematics), Factor Analysis, Mathematical Models
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Dijkstra, T. K. – Psychometrika, 1990
An example of scale invariance is provided via the LISREL model that is subject only to classical normalizations and zero constraints on the parameters. Scale invariance implies that the estimated covariance matrix must satisfy certain equations, and the nature of these equations depends on the fitting function used. (TJH)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Least Squares Statistics
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Barr, Aiala; Sichel, Herbert S. – Journal of the American Society for Information Science, 1991
Discussion of models for library circulation data highlights a new statistical prediction model that creates a flexible regression curve. Linear graphs that result from previous models are discussed, bivariate discrete distributions are explained, and graphs that show library circulation for one year at a time are presented. (nine references) (LRW)
Descriptors: Correlation, Data Analysis, Graphs, Library Circulation
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Widaman, Keith F. – Multivariate Behavioral Research, 1993
Across conditions, differences between population parameters defined by common factor analysis and component analysis are demonstrated. Implications for data analytic and theoretical issues related to choice of analytic model are discussed. Results suggest that principal components analysis should not be used to obtain parameters reflecting latent…
Descriptors: Comparative Analysis, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
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Batley, Rose-Marie; Boss, Marvin W. – Applied Psychological Measurement, 1993
The adequacy of multidimensional trait and item parameters using multidimensional item response theory analysis was studied through simulation using different degrees of correlation between two trait dimensions and the existence of a restricted trait on the second dimension. Conditions allowing adequate recovery of trait and item parameters are…
Descriptors: Computer Simulation, Correlation, Equations (Mathematics), Estimation (Mathematics)
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Schmitt, Neal; And Others – Applied Psychological Measurement, 1993
Item response theory-based appropriateness fit indices were used to identify and remove from a validation sample (n=201) those examinees whose response patterns did not match their trait levels. Although a person-fit index had little effect on validities, a multitest index was more promising. (SLD)
Descriptors: Adults, Goodness of Fit, Item Response Theory, Mathematical Models
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