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Application of a new resampling method to SEM: a comparison of S-SMART with the bootstrap
Authors:Haiyan Bai  Stephen A Sivo  Wei Pan  Xitao Fan
Institution:1. Department of Educational and Human Sciences, University of Central Florida, P.O. Box 161250, Orlando, FL 32816-1250, USA;2. School of Nursing, Duke University, 307 Trent Dr, 3135 Pearson Building, Durham, NC 27710, USA;3. Faculty of Education, University of Macau, Macao, People's Republic of China
Abstract: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 (called S-SMART) and compare the statistical performance of it with that of the bootstrap through an application of them to the most advanced modelling technique, SEM, as an example. The evaluation of the statistical performances of S-SMART and the bootstrap with respect to the standard errors of the parameter estimates was conducted through a Monte Carlo simulation study. This work, while potentially benefiting educational and behavioural research, conceivably would also provide methodological support for other research areas, such as bioinformatics, biology, geosciences, astronomy, and ecology, where large samples are hard to obtain.
Keywords:bootstrap  small sample  resampling  SEM  S-SMART
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