Here's what I found so far (Find out if your doctor did all these tests) (there are self tests in this article also):

http://atkins.com/Archive/2001/12/21-425982.html

"To ascertain whether you have hypothyroidism, your doctor will do blood tests to evaluate your production of thyroid hormones T4 (also known as thyroxine) and T3 (your body converts T4 to T3), as well as another hormone called TSH (thyroid-stimulating hormone), which is produced by your pituitary gland. Practitioners do tests on free T3, T4 and TSH levels"

And Here #11 (is were I heard about the standard tests):

http://atkins.com/Archive/2001/12/26-51503.html

"Hypothyroidism, or underactive thyroid, is easy to diagnose, even though it doesn't always show up on standard lab tests"