I do the "official" stats for our HS team even though one of the players keeps a book in the dugout. I try to score all plays as if I were a neutral observer. There are times when I give the batter the benefit of the doubt - a line shot screamer that hits a third baseman in the glove (which is in front of her face) and bounces off is a hit. I call it the "I don't want to die" rule - a fielder in protection mode does not get an error.
Lots of other people have made good points - here are some of the "myths" I try to overcome.
+ The ball has to be touched to be an error. (No, a ball that rolls between a shortstop's legs, which should have been routine, is an error. I use "routine" as my guide.)
+ A ball that is touched by a fielder and dropped is always an error. (No, a player who makes a diving attempt or tips the ball after a long run in the outfield should not be penalized. That is a hit. Back to routine.)
+ Mental errors count as errors. (No, they don't. If a fielder forgets to cover a base, at best you have fielder's choice. ALTHOUGH, sometimes you can record an error there - long story.)
+ You should record an error when a throw should have beat the runner. (Well, either the ball was bobbled to the point where a routine play was missed, or it was a close play and the runner was called safe. Close plays are hits.)
+ A stolen base should be credited when a runner advanced unchallenged to the next base. (For example, runners on the corners. The runner on first heads to second, and the defense does not throw.) - WELL, by current college and other scoring guidelines, that IS a stolen base, and that is how I credit it. That could explain the high number of stolen bases in stats - those unchallenged bases.