The often overlooked connection between celiac disease and other autoimmune diseases: "As previously discussed, when individuals with celiac disease follow a gluten-free diet, their anti-tTG levels return to normal. A growing amount of research suggests that when people with celiac disease and ATD adopt a gluten-free diet, not only do their celiac-related antibody levels improve, but their thyroid antibody levels also decrease."
http://www.todaysdietitian.com/newarchives/110310p52.shtml