Effect sizes are important for power analysis and meta-analysis. This has led to a debate on reporting effect sizes for studies that are not statistically significant. Contrary and supportive evidence has been offered on the basis of Monte Carlo methods. In this article, clarifications are given regarding what should be simulated to determine the possible effects of piecemeal publishing trivial effect sizes.
Sawilowsky, S. S. (2003). You think you’ve got trivials? Journal of Modern Applied Statistical Methods, 2(1), 218-225.