This discussion has been covered before, it depends on the quality of many components.
True, grand master, however, my assumption was the op was running a DVI card to an analog monitor, in which case he wasn't going to see any signal degradation, and I was trying to keep the answer as succinct as possible, in that regard. Clearly, we wouldn't be buying high-end, DVI GPU's and connecting them to high resolution digital monitors, with DVI-only connections, if there wasn't a significant improvement in picture quality. My apologies to the op if I over-simplified.