Wearing an anniversary band

OK, I put this here instead of GQ because I’m not sure whether or not there IS a factual answer.

If you get an anniversary band, how are you supposed to wear it? I found one UK Web site that seems to indicate that you wear it on your left ring finger, closest to your hand (i.e., anniversary band, wedding band, engagement ring). Someone told me that you wear it with your wedding band but in place of your engagement ring (that doesn’t make sense to me). My mother says you wear it on the ring finger of your other hand.

Is there any one accepted way to wear one? Does it matter?

Mr. Cricket and I are still 3.5 years away from our 10th wedding anniversary, but we were talking about this the other day and neither of us was quite sure.

Thanks for any input!