The TL;DR summary of the paper: As sample size increases, correlations wiggle up and down. In typical situations, stable estimates can be expected when n approaches 250. See this blog post for some more information and a video (Or: read the paper. It’s short.)

Interestingly (and in contrast to all of my other papers …), the paper has not only been cited in psychology, but also in medical chemistry, geophysical research, athmospheric physics, chronobiology, building research, and, most importantly, in the Indian Journal of Plant Breeding. Amazing.

And the best thing is: The paper is open access, and all simulation code and data are open on Open Science Framework. Use it and run your own simulations!