For me the term analytical means over exaggerated edges of notes, treble detail in the mid to upper ranges thrust too forward, and a plastic and 'hi-fi' sound to the music. That and classic female singers sounding like pinky and perky (little pigs for the non UK posters).
Basically the standard digital sound then. The DACs that break away from that mould, and hark back to a more analogue (where vinyl seems to do it best) or refer to real music as a reference are the ones I would call analogue sounding. The detractors of those DACs tend to then call them coloured or lacking resolution (in playback terms, not technical). My view is generally they should reference real music, or even a top vinyl rig, as opposed to this or that DAC, because which DAC do we all agree is the truth?
I am exhausted and bored with the wire with gain, resolution thing, numbers and formats, up sampling and filtering. Damb, I just want a DAC to sound like real music, not a glossy and trendy 'hifi' stuck in the room.
Completely ridiculous we have these terms but that is the thrills of the 'advance' in going digital my friends. Now I will go lie down and chill out, sorry if I went off on one.