Dr. Fan's research areas are statistical genetics, stochastic modeling, stochastic processes and and applications. The focus of Dr. Fan's research is to develop novel statistical methodology to analyze biomedical data, and to increase understanding of biological architecture of complex diseases with applications to public health.
In statistical genetics, Dr. Fan mainly works on developing and applying statistical methodology for gene mapping of complex diseases. His research topics include on functional regression models for gene-based association analysis of complex traits by jointly analyzing large number of genetic variants such as single nucleotide polymorphisms (SNPs) and next generation sequence (NGS) data adjusting for covariates, stochastic dynamic models and Chebyshev splines, longitudinal phenotypic traits with human genetic data, entropy-based approach of information theory to detect gene-gene and gene-environmental interactions, association study in the presence of measurement errors for environmental factors, combined linkage and association mapping of complex diseases, and statistical methods to detect positive selection in genome-wide scans.
Dr. Fan's research on stochastic modeling is motivated by the many longitudinal studies of complex phenotypic traits with human genetic data. This coincides with his long interest and research on stochastic processes.
His group has developed SAS Macros and a C++ program to implement methods proposed, which are available HERE.