It doesn't, but there are some controllers for the left hand that have a Wii nunchuck-like analog stick for people who insist on it. It really doesn't matter, though; eight directions, combined with turning with the mouse, is every bit as flexible as the theoretically infinite amount you get with a joystick. As for movement speed, show me a game that has more than two or three movement speeds available through the analog stick. It's probably
Mario 64. First person shooters basically never have more movement speeds than you can get by using the shift and caps lock keys on a keyboard.
Edit: Here's an example of one of the more useful looking models. Some of them have kind of odd analog stick placement, but this one looks awesome.