The information in this post looks interesting and the big mathematical figures are sure to dazzle and awe-strike some people, but the actual usefulness of these figures is minimal at best. You're trying to project the 'goodness' of the units onto a single dimensional scale, and since, even just reading the guide, battlereports, or help forums for 5 minutes, you can find that strategy and tactics of what units you send make a tremendous difference. The battle system is a multidimensional system, you can't make a single dimensional projection and expect to not lose vital information. Even in general, if you add together these unit values and come up with armies based on them you won't find a real pattern that makes a remotely accurate representation of what happens because the stats of units work so differently its impossible to rate them on a scale of "this unit is X times better than some other unit". Unfortunately it means that the efficiency values are flawed too because they are based on the faulty rating system.