I'm anemic and I love eating ice. Why is that?

Iron deficiency. Iron deficiency causes anemia and pica, i.e., craving for non-nutritious foods, usually clay. See your doctor for blood tests so that you may be treated.
Chewing ice=Anemia. For some unknow reason people who are anemic seem to love to chew on ice. When patients tell us they love chewing on ice we always search for anemia.