What is this HTTP API?
Here are the slides. When you have a look at them, make sure to also read the notes (next to the comments), so the slides make sense to you.
I narrowed the selection down to those being currently developed, or are in use in "big" projects. JsUnit seems to be one of the major players, but I found almost no documentation, and the code base hasn't changed a lot in the last years. That's not a negative thing in itself, but having an active community around is a good thing. QUnit is used for testing JQuery, it looked like you could work with it as well, but its syntax and setup didn't make me go "wow" exactly. Same goes for JQUnit, about which I had read good stuff in several blog posts. It's also what Sammy.js is tested with.