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Mao, Xiulin; Harring, Jeffrey R.; Hancock, Gregory R. – Educational and Psychological Measurement, 2015
Latent interaction models have motivated a great deal of methodological research, mainly in the area of estimating such models. Product-indicator methods have been shown to be competitive with other methods of estimation in terms of parameter bias and standard error accuracy, and their continued popularity in empirical studies is due, in part, to…
Descriptors: Structural Equation Models, Error of Measurement, Algebra, Statistical Analysis
Fan, Weihua; Hancock, Gregory R. – Journal of Educational and Behavioral Statistics, 2012
This study proposes robust means modeling (RMM) approaches for hypothesis testing of mean differences for between-subjects designs in order to control the biasing effects of nonnormality and variance inequality. Drawing from structural equation modeling (SEM), the RMM approaches make no assumption of variance homogeneity and employ robust…
Descriptors: Robustness (Statistics), Hypothesis Testing, Monte Carlo Methods, Simulation

Hancock, Gregory R.; Nevitt, Jonathan – Structural Equation Modeling, 1999
Explains why, when one is using a bootstrapping approach for generating empirical standard errors for parameters of interest, the researchers must choose to fix an indicator path rather than the latent variable variance for the empirical standard errors to be generated properly. (SLD)
Descriptors: Error of Measurement, Identification, Structural Equation Models

Nevitt, Jonathan; Hancock, Gregory R. – Journal of Experimental Education, 2000
Studied incorporating adjusted model fit information into the root mean square error of approximation fit index (RMSEA). Monte Carlo simulation results show that incorporating robust information into the RMSEA may yield improved performance for assessing model fit under nonnormal data situations. (SLD)
Descriptors: Error of Measurement, Goodness of Fit, Monte Carlo Methods, Structural Equation Models
Fan, Weihua; Hancock, Gregory R. – Educational and Psychological Measurement, 2006
In the common two-step structural equation modeling process, modifications are routinely made to the measurement portion of the model prior to assessing structural relations. The effect of such measurement model modifications on the structural parameter estimates, however, is not well known and is the subject of the current investigation. For a…
Descriptors: Error of Measurement, Evaluation Methods, Monte Carlo Methods, Sample Size
Nevitt, Johnathan; Hancock, Gregory R. – 1998
Though common structural equation modeling (SEM) methods are predicated upon the assumption of multivariate normality, applied researchers often find themselves with data clearly violating this assumption and without sufficient sample size to use distribution-free estimation methods. Fortunately, promising alternatives are being integrated into…
Descriptors: Chi Square, Computer Software, Error of Measurement, Estimation (Mathematics)