Wulf Ratbane said:Great. So don't count ability scores.
Let's see...
Doing it "your way" the above party has EXACTLY the same chance of success as they would if their ability scores were straight 3's across the board, straight 10.5's, or straight 18's.
That's so obviously wrong I don't know why I bothered to post a reply...
EDIT: The solution is somewhere in the multiplication of fractional CR's, I would guess.
EDIT2: Which is not to say that you haven't correctly pointed out a problem, Anubis. For starters I think UK under-rates the trog zombie. If the SRD rates them at CR 1, by strict conversion (as opposed to adding factors), that would make them CR 1.5 in the UK system.
I am also not a big fan of his rounding methods (Table 1-1, Fractional CR Ratings). My instinct would be to always round up to the next higher value. The orc weighs in at like .922 but UK rounds him down to .5 (resulting in CR 2/3).
EDIT3: Don't forget to apply the Golden Rule to the PCs. The purpose of the golden rule is to prevent CR factors from overbalancing a creature based on its level or HD. Unless I did something wrong, that would make their CR's 2.95, 2.7, 2.45, and 2.75 respectively. Total party CR 10.85, adjusted EL 10. (Versus "don't count" method total party CR8, adjusted EL 9).
Wulf
First off, the Golden Rule wouldn't change the CRs except those over 4, and then only half what is over 4. Remember, the Golden Rule is half everything over DOUBLE the HD, not everything that's just over the HD itself.
That said, I'll shoot your little argument down quickly and effectively here. You NEVER EVER see PCs with all 3s, 10s and 11s, or 18s if you play by the core rules or by any viable variation thereof. All 3s and all 18s are as likely as winning the lottery and getting hit by lightning five consecutive times, and all 10s and 11s doesn't constitute a viable PC to begin with according to the PH and the DMG.
Like I said, MY example actually happened and would likely happen many times over the course of any long-term campaign. Your examples, well, NEVER happen, or happen so rarely as to be a non-factor. Remember, you can't account for ID10T errors on the DM's part, nor should the system account for gaming stupidity (the only way those three examples could truly happen), so as such all of your examples are invalid. Most normal PCs are more or less equal in power.
Even so, ability scores have little to no effect in the "big picture", as probably 99% of all PCs have a roughly similar set of ability scores. To demonstrate obsurdity by being obsurd, just take a Level 20 fighter with all 18s and put him against a Level 20 wizard with 10/10/10/23/10/10. The fighter has astronomically better stats but the wizard is almost guaranteed to win every single time if they fight one-on-one. At any rate, heck, a Level 1 PC with all 18s is supposedly around CR 3, but pretty much any Level 3 PC (even with 63 points worth of scores) would own him or her pretty easily. Examples include a Level 3 wizard with 8/10/12/13/10/10 and a Level 3 fighter with 16/10/10/8/8/8, both of whom are likely more useful to the party as a whole at their current power levels. So while a character with all 18s is clearly more powerful, those ability scores aren't even worth ONE level as far as power levels are concerned.
So no, ability scores shouldn't be counted. Size? Yeah, although not necessarily for the ability scores. Templates? That's the one thing I'd say yes for ability scores on, but ONLY because they aren't creatures to begin with, but rather "additions", making them a different matter altogether. Rolled stats? No. Naturally occuring stats in creatures? No. Simply apply common sense and you never have a problem.