I'm finding that since I've started wearing digital watches, I no longer trust analog. I don't keep any analog clocks in my apartment. I have some analog watches that I sometimes wear, but they sometimes make me uncomfortable because I just can't trust that they have the correct time.
I have had a few cheap analog watches that would stop functioning for short intervals (5 minutes, 30 minutes, etc). This has caused me to lack confidence in ANY analog watch.
I know that a digital watch can malfunction also. But if that were to happen I think it would be much more apparent. It would reset itself and if I looked down and saw a blinking "12:00AM January 1st, 2000" then I would have a good idea that was the wrong time. But at least a digital watch will not "pause" and then kick back in again after a while.