Analog!! there's just something very special with mechanical watches that digital doesn't have...kind of a sense of precision build even if digital is probably more accuate overall...anyone know if digital clocks lose accuracy like a fraction of a sec everyday like analogs?
I regularly check to see how my quartz watches are keeping time. Yes, in general they gain or lose some fraction of a second every day. Some are better than others in that regard. The worst quartz watches seem to be around a second a day off. On the flip side, I have a Seiko which I synchronized to atomic time on April 3. I just checked, and it's still keeping time to the second. I've never seen a mechanical watch which keeps time to better than maybe 1 minute a week. Most seem to gain or lose a minute or more
per day, basically making them useless for accurate time keeping.
The fundamental difference between quartz and mechanical watches is
stability. Sure, it may be possible to adjust a mechanical watch to keep time to within a second or so per day. The problem is that the stability of the watch varies by far more than that due to temperature, position, vibration, etc. One day your watch may keep perfect time. The next it might gain 20 seconds, or lose 30.
Quartz oscillators on the other hand are very stable. Temperature is really the only thing which causes them to vary. However, the frequency of a 32768 Hz watch crystal varies with temperature in a predictable manner (actually a parabolic curve), and this can be compensated for (the better quartz watches do in fact temperature compensate). Assuming you correct for temperature effects, stability of a watch crystal is on the order of several parts in 10-8. This is roughly around a second per year. Therefore, it's possible to adjust the oscillator to keep near perfect time, and the watch will stay adjusted. Quartz crystals do age, but generally do most of their aging in the first year. If you adjust the watch after that, it should keep good time for many years.
Oh, digital or analog? It depends. If I'm interested in seeing rapid changes or trends but don't care about precision, then analog makes more sense. If I need precision, digital is the only way to go. An analog voltmeter for example isn't going to let me measure voltage to 5 or 6 digits. I even prefer digital for something like a speedometer. My bike computers let me know my speed to tenths of an mph. Can't do that with something analog.