The Collaborative International Dictionary of English v.0.48:

Sinistrality \Sin`is*tral"i*ty\, n.
   The quality or state of being sinistral.
   [1913 Webster]

WordNet (r) 3.0 (2006):

sinistrality
    n 1: preference for using the left hand [syn: left-handedness,
         sinistrality]