I'm a newcomer to understanding and calculating heritability and 
related statistics.  I notice that heritability is a 
variance-explained statistic (variance attributed to inheritance 
divided by total between-subject variance).  In the sphere of 
experimental research, variance explained conveys a false impression 
of the magnitude of an effect.  You have to take the square root of 
the variance explained to convert it to a correlation coefficient, 
then interpret it using Cohen's scale of effect magnitudes (<0.1 = 
trivial, 0.1-0.3 = small, 0.3-0.5 = moderate, >0.5 = large).  Thus, a 
variance explained of 0.01 (1%) is actually a small but non-trivial 
effect, because it is equivalent to an effect size of 0.1.

So my question is this:  should we take the square root of 
heritability to get an idea of the contribution of inheritance to a 
particular trait?

Supplementary question: can someone supply a definition of the 
calculation of heritability in twin studies where you have 
dizygotomous twins separated at birth acting as a kind of control for 
monozygotomous twins separated at birth?  The paper I am trying to 
understand is Fox et al. (1996).  There is disappointingly 
insufficient detail in the Methods, and they refer to a text book 
that I can't access. I've clicked around the web without success 
looking for an approachable explanation.  I'd really appreciate a 
link to a good website on this topic.

Fox PW, Hershberger SL, Bouchard TJ (1996). Genetic and environmental 
contributions to the acquisition of a motor skill. Nature 384, 356-358

Will
-- 
Will G Hopkins, PhD FACSM
University of Otago, Dunedin NZ
Sportscience: http://sportsci.org
A New View of Statistics: http://newstats.org
Sportscience Mail List:  http://sportsci.org/forum
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