Digital VS Analog LCD Monitors?

Is there a BIG difference between an Analog Monitor and a Digital Monitor besides the plug for it? I realize that the digital picture is going to be better than the analog, but is it THAT much better? If i move from a digital monitor (which ive been using for the past couple years now) and to a bigger analog monitor will i notice a difference? a BIG enough difference to not enjoy the new bigger size of the new one? thanks in advance!