Dr. Liu's methodological interests lie in three inter-related areas:

(1) structural equation modeling (SEM), (2) longitudinal data analysis, and (3) social network analysis.

She has explored these areas from both Bayesian and frequentists perspectives. In addition to her methodological work, she is also interested in applying quantitative methods in developmental, health, and educational research.

On-going projects:

• Statistical modeling of network data

• Non-parametric Bayesian

• Time-series data analysis

• Mathematical statistics

• Bayesian model fit of SEM

• MCMC alogrithms

• Causal inference

• Propensity score analysis