I shot close to 30yrs right handed, left eye dominate. If it has sights,scope, or your gapping/using the arrow point as a sight eye dom is irrelavent. However when I went to trad just a few years ago, I shot average at my league and had ocasional flyers that I couldnt explain. I tried a left handed bow and instantly got better. Im now amoung the top shooters in my league, and have been shooting left handed trad about half the time I shot right handed. Your brain picks which eye is dominate based on which eye has better vision. You can fight eye dominance all you want, but for me, Im gonna use the eye that has the best vision. 8^)