Source : Webster's Revised Unabridged Dictionary (1913)

Dextrality \Dex*tral"i*ty\, n.
   The state of being on the right-hand side; also, the quality
   of being right-handed; right-handedness. --Sir T. Browne.

Source : WordNet®

dextrality
     n : preference for using the right hand [syn: {right-handedness}]