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Tay, Louis; Drasgow, Fritz – Educational and Psychological Measurement, 2012
Two Monte Carlo simulation studies investigated the effectiveness of the mean adjusted X[superscript 2]/df statistic proposed by Drasgow and colleagues and, because of problems with the method, a new approach for assessing the goodness of fit of an item response theory model was developed. It has been previously recommended that mean adjusted…
Descriptors: Test Length, Monte Carlo Methods, Goodness of Fit, Item Response Theory
Gardenier, George H.; Gui, Feng; Demas, James N. – Journal of Chemical Education, 2011
Complex error propagation is reduced to formula and data entry into a Mathcad worksheet or an Excel spreadsheet. The Mathcad routine uses both symbolic calculus analysis and Monte Carlo methods to propagate errors in a formula of up to four variables. Graphical output is used to clarify the contributions to the final error of each of the…
Descriptors: Monte Carlo Methods, Computer Software, Calculus, Mathematics Education
Savalei, Victoria; Bentler, Peter M. – Structural Equation Modeling: A Multidisciplinary Journal, 2005
This article proposes a new approach to the statistical analysis of pairwisepresent covariance structure data. The estimator is based on maximizing the complete data likelihood function, and the associated test statistic and standard errors are corrected for misspecification using Satorra-Bentler corrections. A Monte Carlo study was conducted to…
Descriptors: Evaluation Methods, Maximum Likelihood Statistics, Statistical Analysis, Monte Carlo Methods