Effect sizes and power in cognitive neuroscience and psychology literature
biorxiv.org
biorxiv.org
Based on the abstract it seems pretty damning for cognitive science research conducted over the last 5 years (the period covered in the study). Perhaps it extends even farther back if most of those studies were built on previous research.
Nevertheless cog neuroscience has had a bad habit of using small samples, sample sizes that developmental cognitive neuroscientists have criticized.