The other factor which somewhat determines the order is the course you are playing on.

Look at the Pro's, some of the tour events are played on wide open courses the long hitters have field days (a lot of driver wedges), then there are tighter venues with bunkers and hazards that force a pro to layup off the tee (long irons) and hit mid irons on to the green. The Majors usually come down to short game, putting and driving.

Where you put Short game or putting depends on wether you are hitting or missing greens, but really all of it is so inter related it is hard to get a exact order. If you are knocking your irons stiff on appraoch shots even a poor putter is going to make pars .......