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Peer reviewedHedges, Larry V.; Stock, William – American Educational Research Journal, 1983
The results of reanalyses of statistical procedures used in the class-size meta-analyses by Glass and Smith are reported. The analyses suggest that the use of suboptimal statistical methods did not greatly affect the results of the meta-analyses by Glass and Smith. (Author/PN)
Descriptors: Academic Achievement, Class Size, Estimation (Mathematics), Hypothesis Testing
Peer reviewedHagglund, Gosta – Psychometrika, 1982
Three alternative estimation procedures for factor analysis based on the instrumental variables method are presented. Least squares estimation procedures are compared to maximum likelihood procedures. The conclusion, based on the data used in this study, is that two of the procedures seem to work well. (Author/JKS)
Descriptors: Data Analysis, Error of Measurement, Estimation (Mathematics), Factor Analysis
Peer reviewedMueller, Ralph O. – Structural Equation Modeling, 1997
Basic philosophical and statistical issues in structural equation modeling (SEM) are reviewed, including model conceptualization, identification, and parameter estimation and data-model-fit assessment and model modification. These issues should be addressed before the researcher uses any of the new generation of SEM software. (SLD)
Descriptors: Computer Software, Estimation (Mathematics), Goodness of Fit, Identification
Peer reviewedFriedman, Lynn – Review of Educational Research, 1989
A meta-analysis of studies conducted between 1974 and mid-1987 on sex differences in mathematical tasks is presented. Methods used include estimations of: (1) parameters for a random effects model, and (2) coefficients for a linear-regression equation, all based on effect sizes calculated from each study. Differences have been decreasing. (TJH)
Descriptors: Effect Size, Elementary Secondary Education, Estimation (Mathematics), Mathematical Models
Peer reviewedGlas, C. A. W.; Verhelst, N. D. – Psychometrika, 1989
Some extensions of the partial credit model are presented. A marginal maximum likelihood estimation procedure is developed to allow for incomplete data and linear restrictions on the item and population parameters. Two statistical tests for evaluating model fit are also presented. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Item Response Theory
Peer reviewedLee, Sik-Yum; And Others – Psychometrika, 1990
A computationally efficient three-stage estimator of thresholds and covariance structure parameters is prepared for analysis of structural equation models with polytomous variables. The method is based on partition maximum likelihood and generalized least squares estimation. An analysis of questionnaire responses of 739 young adults illustrates…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics, Mathematical Models
Peer reviewedWoodruff, David – Journal of Educational Measurement, 1990
A method of estimating conditional standard error of measurement at specific score/ability levels is described that avoids theoretical problems identified for previous methods. The method focuses on variance of observed scores conditional on a fixed value of an observed parallel measurement, decomposing these variances into true and error parts.…
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Peer reviewedBaker, Frank B. – Applied Psychological Measurement, 1988
The form of item log-likelihood surface was investigated under two-parameter and three-parameter logistic models. Results confirm that the LOGIST program procedures used to locate the maximum of the likelihood functions are consistent with the form of the item log-likelihood surface. (SLD)
Descriptors: Estimation (Mathematics), Factor Analysis, Graphs, Latent Trait Theory
Peer reviewedvan den Bergh, Huub; Eiting, Mindert H. – Journal of Educational Measurement, 1989
A method of assessing rater reliability via a design of overlapping rater teams is presented. Covariances or correlations of ratings can be analyzed with LISREL models. Models in which the rater reliabilities are congeneric, tau-equivalent, or parallel can be tested. Two examples based on essay ratings are presented. (TJH)
Descriptors: Analysis of Covariance, Computer Simulation, Correlation, Elementary Secondary Education
Peer reviewedFisicaro, Sebastiano A.; Lautenschlager, Gary J. – Educational and Psychological Measurement, 1992
An equation derived by W. A. Nicewander and J. M. Price relating statistical power to reliability of dependent variable measures when true score regression is homogeneous across treatment conditions is enhanced through overcoming the problem of directly estimating the squared linear correlation between true scores for X and Y. (SLD)
Descriptors: Analysis of Variance, Correlation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedHenderson, Pamela W.; Buchanan, Bruce – Psychometrika, 1992
An extension is described to a product-testing model to account for misinformation among subjects that would lead them to perform incorrectly on "pick one of two" tests. The model is applied to a data set of 367 subjects picking 1 of 2 colas. Misinformation does exist. (SLD)
Descriptors: Adults, Bayesian Statistics, Consumer Economics, Equations (Mathematics)
Peer reviewedLee, Sik-Yum; And Others – Psychometrika, 1992
A two-stage approach based on the rationale of maximum likelihood and generalized least-squares methods is developed to analyze the general structural equation model for continuous and polytomous variables. Some illustrative examples and a small simulation study (50 replications) are reported. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics, Mathematical Models
Peer reviewedRamsay, J. O.; Winsberg, S. – Psychometrika, 1991
A method is presented for estimating the item characteristic curve (ICC) using polynomial regression splines. Estimation of spline ICCs is described by maximizing the marginal likelihood formed by integrating ability over a beta prior distribution. Simulation results compare this approach with the joint estimation of ability and item parameters.…
Descriptors: Ability, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedHuttenlocher, Janellen; And Others – Psychological Review, 1991
A model of category effects found in reports of episodic memory is proposed. The model holds that stimuli are presented at a fine-grain level of detail and a category. Four experiments involving a total of 131 University of Chicago (Illinois) students and faculty are reported in support of the model. (SLD)
Descriptors: Classification, College Faculty, College Students, Equations (Mathematics)
Peer reviewedWoodruff, David – Journal of Educational Measurement, 1991
Improvements are made on previous estimates for the conditional standard error of measurement in prediction, the conditional standard error of estimation (CSEE), and the conditional standard error of prediction (CSEP). Better estimates of how test length affects CSEE and CSEP are derived. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models


