You are currently viewing Interactive statistics: breeding’s equation AKA regression towards the mean

Interactive statistics: breeding’s equation AKA regression towards the mean

One of the things I did to teach myself R programming was to create a bunch of interactive statistics tools written using the awesome R Shiny package. These are still online at the page for them. A few days ago, I was asked to produce one to showcase how regression towards the mean works, specially the breeder’s equation. Dalliard has a long piece on regression towards the mean in general over at Human Varieties.

You can find the app here. Source code is public on Github. I don’t think I can embed it here, but it looks like this. You plug in the assumed heritability, the grandparents and parents values of the phenotype of interest. The grandparent mean will be used as an estimate of the additive genetic mean of the population, so if you prefer that way, you can set them to the same value. I’ve plugged in some IQ-like numbers, but it should work equally well for any kind of metric. (Note that the calculations do not include any parent-to-child environmental transmission. If you think this is present, add it to the additive heritability to get a total family transmission variance share.)