Well many have done it, but the issue where a problem might occur is when your current TN runs out and you need to get another one. Then they might have questions if Statistical Analyst is somehow related to your degree. You could get your company when the time comes to form the letter to state it's a engineering type analyst or something.
When I was on a TN, I had a similar thing, they made up a title for my job, (geography related) so that it met the terms. Even though my new position was in geography, the original title as "analyst" could have caused some issues, so they just changed my title and never had a problem all the years I was on the TN with that new position.
Now I don't know the correct proceedure with regards to this at all, but seems to be pretty common place for this to happen...