In CRPGs, stats MUST be hidden from the player
I've never met or heard of anyone in the videogame industry who realizes this. The reason why stats are so prominent in real-life RPGs is because SOMEONE has to make the necessary calculations, and without the help of a computer the players are forced to do this boring work themselves.
When computers enter the scene, there is absolutely NO REASON why the player should have to see any numbers on the screen. Indeed, in my days as gamemaster back in high school I used to roll all the dice behind a screen: my players would simply tell me the action they wanted their characters to perform and I would respond with the result, without them ever having to calculate anything.
This is how CRPGs should work. The reason why they never work like that is purely historical. As mentioned earlier in this essay, CRPG designers initially focused on the stats because it was the easiest part of real RPGs they felt they could simulate. Thus CRPGs started out as strategy games and never really moved on from there, creating, in the process, generations of players with an unhealthy numbers fetishism who miss the point of role-playing entirely.
The end result is that decades-old adventure games such as The Secret of Monkey Island have more role-playing elements in them than most anything that gets passed off as a CRPG these days. (Some BioWare titles such as Knights of the Old Republic and Mass Effect do contain elements of role-playing, but the strategy and action components are so completely dominant, that the games end up feeling almost nothing like RPGs.)