Just for folks who havent tested themselves here is a good write up on how to test your eye dominance http://www.wikihow.com/Determine-Your-Dominant-Eye
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I've tried both open many times, and it's tough. Accuracy has never been better than with one closed, but I'd change in a heart beat if it was. My problem is that I see two sets of pins and two targets with both eyes open. So either way I have to close one eye to start with anyway, and then opening it back up doesn't seem to change anything for me.........so I stick with shooting with one eye closed.
shoot at the one in focus with out closing your other eye. eventually you wont see double