Latent Growth Curve Modeling (LGCM) is often used to analyze the change or trend of repeated measures in longitudinal data. The objective of this study is to investigate the statistical power of model selection indices in Latent Growth Curve Modeling under different research settings. We studied several model selection indices specially developed for small sample sizes and compared their statistical power with information criteria. The results of the simulation indicated that the most influential factors are sample sizes, covariance of intercepts and slopes, and number of repeated measures of the observed variables. In terms of statistical power in model selection, overall, BIC has the best power, followed by T□, T□、T□、T₂* and AIC, while adjusted-BIC has the worst performance.