The short answer is there is no analog watch movement. Analog refers to the rotation of the hands around to numbers, or indices, on the dial to display time. An analog watch is simply one where the display isn't digital.
If you look at the root of the word, it simply means "time measurer" which is what a watch is. But beyond that, in order to be considered and chronometer, the movement withing the watch must be tested and adhere to very strict accuracy standards.
In order to be classified as a chronometer, a watch has to pass a rigorous array of precision testing. Over a 15-day period, the Official Swiss Chronometer Testing Institute (COSC) tests the movement of the watch to make sure it adheres to strict accuracy standards. A chronometer watch must keep time, on average, within -4/+6 or 10 seconds a day.
Watch depth ratings mean that the watch design has been tested at an equivalent water pressure at least once. The water resistance number on a watch does little to guarantee its performance in a real world environment. There is no universal standard for setting a watch depth rating, so if you want to see how deep a watch can go, you have to take it to that depth.