I have never used a skydome before, but I am well aware of how effective they can be. Essentially, a sky done is just a sphere with a background image attached to the inside. The sphere is then placed around the scene, creating a more believable environment. This way the camera can freely move around without effecting the angle of the background.
While it is certainly more usful from an animation point of view, I have to say that I still prefer just using a plane. Probably because it is so much simpler. Here is a comparison between my old plane background and the new skydome background:


In my opinion, the plane background looks so much better because the image has not been stretched. While it is possible to reduce the amount of stretch on an image in a skydome, I just found it very difficult to get it to look as perfect as it did beforehand. It also didnt help that I had to find a panorama image for the skydome(an image that can be perfectly placed back to back with no obvious seams), which was quite difficult to do.
Here is the tutorial that I used:
Its still quite early into the semester. Im sure that I will have time to fix the stretching, or even find a better image. Still, I am happy enough with the way it has turned out. It, along with the new camera angles, definately improves the atmosphere in my animation.