The outliers’ influence on power rates in ANOVA and Welch tests at various conditions was examined and compared with the effectiveness of nonparametric methods and Winsorizing in minimizing the impact of outliers. Results showed that, considering both power and Type I error, a nonparametric test is the safest choice to control the inflation of Type I error with a decent sample size and yield relatively high power.
Liao, H., Yanju, Li., & Brooks, G. P. (2017). Outlier impact and accommodation on power. Journal of Modern Applied Statistical Methods, 16(1), 261-278. doi: 10.22237/jmasm/1493597640