My research area is quantitative psychology. Quantitative psychology is a discipline to promote psychology as a quantitative rational science. One of my primary research interests is to integrate meta-analysis into the structural equation modeling (SEM) (Cheung, 2008, in press; Cheung & Chan, 2005, 2009). This line of research aims to provide a flexible framework to conduct research synthesis under SEM.

My second line of research is the analysis of cross-cultural data with multilevel models. Multilevel models provide a valuable framework to model cross-cultural data (Cheung & Au, 2005; Cheung, Leung, & Au, 2006). I am also interested in extending the power of SEM into broader contexts. These include analyzing dependent and independent correlation coefficients (Cheung & Chan, 2004), constructing confidence intervals on mediating effects (Cheung, 2007b, 2009b) and on other statistics (Cheung, 2009a), handling missing covariates in latent growth models (Cheung, 2007a). I was also interested in developing statistical models to handle response bias, a systematic bias unrelated to the content of the questionnaires. One approach is to use ipsative data (data with a constant-sum constraint within individuals) to minimize response bias (Cheung, 2004, 2006; Cheung & Chan, 2002). 

Besides my own research interests in quantitative psychology, I am also interested in applying my quantitative knowledge to other research areas. I have been collaborating with researchers in various fields, such as developmental psychology, cognitive psychology (Au et al., 2008), clinical psychology (Ho & Cheung, 2007; Wu & Cheung, 2006), suicide research, personality (Cheng & Cheung, 2005a, 2005b), cross-cultural psychology (Au & Cheung, 2004), industrial and organizational psychology, family research (Cheung, et al., 2008) and sport sciences (Lau, Cheung, & Ransdell, 2007, 2008; Lau, Fox, & Cheung, 2004, 2006). Collaborating with researchers in different areas provides insights for me to develop new quantitative methods. My research interests can be summarized in the following figure.