Let me check: you mean the grandchildren have the same ex ante expected height as the ex ante expected height of the children. Of course! (Just as the children have the same ex ante expected height as the parents’ ex ante expected height, which is now screened off by knowing their actual height.)
Yes, but in this case because you know the parents’ heights, the children’s ex ante expected height differs from the population mean.
But if you reset your expectations based on the observed children’s heights, you’ll still witness (on average) regression to the mean.
Though not towards the population mean but rather towards the ex ante expected height of the children.
Yes, but in this case because you know the parents’ heights, the children’s ex ante expected height differs from the population mean.
Though not towards the population mean but rather towards the ex ante expected height of the children.