Nguyen et al. (2016) offered advice to researchers in the commonly-encountered situation where they are interested in testing for a difference in central tendency between two populations. Their data and the available literature support very simple advice that strikes the best balance between ease of implementation, power and reliability. Specifically, apply Satterthwaite’s test, with preliminary ranking of the data if a strong deviation from normality is expected, or is suggested by visual inspection of the data. This simple guideline will serve well except when dealing with small samples of discrete data, when more sophisticated treatment may be required.
Ruxton, G., & Neuhäuser, M. (2018). Striving for simple but effective advice for comparing the central tendency of two populations. Journal of Modern Applied Statistical Methods, 17(2), eP2567. doi: 10.22237/jmasm/1551908612