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Maximilian Press
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Why does Falconer's formula for broad sense heritability subtract correlation values instead of r^2 values?

Falconer's formula for broad sense heritability is 2*(r_monozygotic - r_dizygotic).

Mayhew and Meyer (2017) states: "Subtracting the DZ phenotypic correlation from the MZ phenotypic correlation provides an estimate of the variance contributed by genetics when 50% of DNA is shared."

If we are seeking an estimate of the additional variance explained by an additional 50% of shared genes, shouldn't we be subtracting r^2 values rather than r values because r^2 is the proportion of variance explained?

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5635617/

Ashish
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