Oh, I see the source of the OP's confusion, it is a screw-up on the CIC Q&A page...
http://www.cic.gc.ca/english/department/media/notices/2014-12-01.asp
The question :
44. What organizations can complete an Education Credential Assessment (ECA) or language test?
But the answer only addresses the ECA, does not at all mention the language tests.
I think you can rely on this information still -
http://www.cic.gc.ca/english/immigrate/cec/language-testing.asp