There are some recognized credentials that will help you assess the level of expertise of your surgeon such as board certification, whether they are corneal specialists or not, whether they have done a specific fellowship training in laser vision correction, whether a LASIK is a significant part of their practice or not.
Above all, you need to assess whether you are in the hands of somebody who has good judgment. This is why it is important to meet with your surgeon ahead of your procedure. When all goes well, who performs the procedure is not as important. You are preparing for the unexpected. You need to be in good hands if you happen to experience any problem during or after LASIK.