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Bai, Haiyan; Sivo, Stephen A.; Pan, Wei; Fan, Xitao – International Journal of Research & Method in Education, 2016
Among the commonly used resampling methods of dealing with small-sample problems, the bootstrap enjoys the widest applications because it often outperforms its counterparts. However, the bootstrap still has limitations when its operations are contemplated. Therefore, the purpose of this study is to examine an alternative, new resampling method…
Descriptors: Sampling, Structural Equation Models, Statistical Inference, Comparative Analysis
Peugh, James; Fan, Xitao – Structural Equation Modeling: A Multidisciplinary Journal, 2012
Growth mixture modeling (GMM) has become a more popular statistical method for modeling population heterogeneity in longitudinal data, but the performance characteristics of GMM enumeration indexes in correctly identifying heterogeneous growth trajectories are largely unknown. Few empirical studies have addressed this issue. This study considered…
Descriptors: Structural Equation Models, Statistical Analysis, Longitudinal Studies, Evaluation Research
Sun, Shaojing; Konold, Timothy R.; Fan, Xitao – Journal of Experimental Education, 2011
Interest in testing interaction terms within the latent variable modeling framework has been on the rise in recent years. However, little is known about the influence of nonnormality and model misspecification on such models that involve latent variable interactions. The authors used Mattson's data generation method to control for latent variable…
Descriptors: Structural Equation Models, Interaction, Sample Size, Computation
Fan, Xitao; Sivo, Stephen A. – Structural Equation Modeling: A Multidisciplinary Journal, 2009
In research concerning model invariance across populations, researchers have discussed the limitations of the conventional chi-square difference test ([Delta] chi-square test). There have been some research efforts in using goodness-of-fit indexes (i.e., [Delta]goodness-of-fit indexes) for assessing multisample model invariance, and some specific…
Descriptors: Monte Carlo Methods, Goodness of Fit, Statistical Analysis, Simulation
Fan, Xitao; Sivo, Stephen A. – Multivariate Behavioral Research, 2007
The search for cut-off criteria of fit indices for model fit evaluation (e.g., Hu & Bentler, 1999) assumes that these fit indices are sensitive to model misspecification, but not to different types of models. If fit indices were sensitive to different types of models that are misspecified to the same degree, it would be very difficult to establish…
Descriptors: Structural Equation Models, Criteria, Monte Carlo Methods, Factor Analysis
Fan, Xitao; Wang, Lin – 1998
The Monte Carlo study compared the performance of predictive discriminant analysis (PDA) and that of logistic regression (LR) for the two-group classification problem. Prior probabilities were used for classification, but the cost of misclassification was assumed to be equal. The study used a fully crossed three-factor experimental design (with…
Descriptors: Classification, Comparative Analysis, Monte Carlo Methods, Probability
Fan, Xitao – 2002
This study focused on the issue of measurement reliability and its attenuation on correlation between two composites and two seemingly different approaches for correcting the attenuation. As expected, Monte Carlo simulation results show that correlation coefficients uncorrected for measurement error are systematically biased downward. For the data…
Descriptors: Correlation, Measurement Techniques, Monte Carlo Methods, Reliability
Fan, Xitao; Wang, Lin – 1995
The jackknife and bootstrap methods are becoming more popular in research. Although the two approaches have similar goals and employ similar strategies, information is lacking with regard to the comparability of their results. This study systematically investigated the issue for a canonical correlation analysis, using data from four random samples…
Descriptors: Comparative Analysis, Correlation, Monte Carlo Methods, Sample Size
Fan, Xitao; Fan, Xiaotao – Structural Equation Modeling: A Multidisciplinary Journal, 2005
This article illustrates the use of the SAS system for Monte Carlo simulation work in structural equation modeling (SEM). Data generation procedures for both multivariate normal and nonnormal conditions are discussed, and relevant SAS codes for implementing these procedures are presented. A hypothetical example is presented in which Monte Carlo…
Descriptors: Monte Carlo Methods, Structural Equation Models, Simulation, Sample Size

Fan, Xitao; Wang, Lin – Journal of Experimental Education, 1996
Empirical results based on comparison with Monte Carlo estimates and using sample sizes of 200, 100, 50, and 20 suggested that the bootstrap technique provides less biased and more consistent results than the jackknife technique for a case of canonical correlation analysis. (SLD)
Descriptors: Comparative Analysis, Correlation, Monte Carlo Methods, Sample Size
Fan, Xitao; Fan, Xiaotao – Journal of Experimental Education, 2005
The authors investigated 2 issues concerning the power of latent growth modeling (LGM) in detecting linear growth: the effect of the number of repeated measurements on LGM's power in detecting linear growth and the comparison between LGM and some other approaches in terms of power for detecting linear growth. A Monte Carlo simulation design was…
Descriptors: Statistical Analysis, Sample Size, Monte Carlo Methods, Structural Equation Models
Fan, Xitao – 1999
This paper suggests that statistical significance testing and effect size are two sides of the same coin; they complement each other, but do not substitute for one another. Good research practice requires that both should be taken into consideration to make sound quantitative decisions. A Monte Carlo simulation experiment was conducted, and a…
Descriptors: Decision Making, Effect Size, Monte Carlo Methods, Research Methodology
Fan, Xitao – 1994
This paper empirically and systematically assessed the performance of bootstrap resampling procedure as it was applied to a regression model. Parameter estimates from Monte Carlo experiments (repeated sampling from population) and bootstrap experiments (repeated resampling from one original bootstrap sample) were generated and compared. Sample…
Descriptors: Estimation (Mathematics), Monte Carlo Methods, Regression (Statistics), Sample Size

Fan, Xitao; Wang, Lin; Thompson, Bruce – Structural Equation Modeling, 1999
A Monte Carlo simulation study investigated the effects on 10 structural equation modeling fit indexes of sample size, estimation method, and model specification. Some fit indexes did not appear to be comparable, and it was apparent that estimation method strongly influenced almost all fit indexes examined, especially for misspecified models. (SLD)
Descriptors: Estimation (Mathematics), Goodness of Fit, Monte Carlo Methods, Sample Size
Fan, Xitao; And Others – 1996
A Monte Carlo simulation study was conducted to investigate the effects of sample size, estimation method, and model specification on structural equation modeling (SEM) fit indices. Based on a balanced 3x2x5 design, a total of 6,000 samples were generated from a prespecified population covariance matrix, and eight popular SEM fit indices were…
Descriptors: Estimation (Mathematics), Goodness of Fit, Mathematical Models, Monte Carlo Methods
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