Fitting latent growth models with small sample sizes and non-normal missing data

• Published in: International journal of behavioral development Vol. 45; no. 2; pp. 179 - 192
• Main Authors: Shi, Dexin, DiStefano, Christine, Zheng, Xiaying, Liu, Ren, Jiang, Zhehan
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.03.2021; SAGE PUBLICATIONS, INC
• Subjects: Error of Measurement; Factor Analysis; Goodness of Fit; Growth Models; Indexes; Maximum Likelihood Statistics; Missing data; Normality; Research Problems; Robustness (Statistics); Sample Size; Latent growth models; non-normality; missing data; small sample; latent growth models
• ISSN: 0165-0254; 1464-0651
• DOI: 10.1177/0165025420979365

This study investigates the performance of robust maximum likelihood (ML) estimators when fitting and evaluating small sample latent growth models with non-normal missing data. Results showed that the robust ML methods could be used to account for non-normality even when the sample size is very small (e.g., N < 100). Among the robust ML estimators, “MLR” was the optimal choice, as it was found to be robust to both non-normality and missing data while also yielding more accurate standard error estimates and growth parameter coverage. However, the choice “MLMV” produced the most accurate p values for the χ2 test statistic under conditions studied. Regarding the goodness of fit indices, as sample size decreased, all three fit indices studied (i.e., comparative fit index, root mean square error of approximation, and standardized root mean square residual) exhibited worse fit. When the sample size was very small (e.g., N < 60), the fit indices would imply that a proposed model fit poorly, when this might not be actually the case in the population.