Challenged by some exchanges in my own personal emails and over in Brent Robert’s “pigee” blog, I’ve found myself thinking more about what is surely the weakest point in my previous post about effect size: I failed to reach a clear conclusion about how “big” an effect has to be to matter. As others have pointed out, it’s not super-coherent to claim, on the one hand, that effect size is important and must always be reported yet to acknowledge, on the other hand, that under at least some circumstances very “small” effects can matter for practical and/or theoretical purposes.
My attempt to restore coherence has two threads, so far. First, to say that small effect sizes are sometimes important does not mean that they always are. It depends. Is .034 (in terms of r) big enough? It is, if we are talking about aspirin’s effect on heart attacks, because wide prescription can save thousands of lives a year (notice, though, that you need effect size to do this calculation). Probably not, though, for other purposes.
But honestly, I don’t know how small an effect is too small. As I said, it depends. I suspect that if social psychologists, in particular, reported and emphasized their effect sizes more often, over time an experiential base would accrue that would make interpreting them easier. But, in the meantime, maybe there is another way to think about things. Continue reading