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  1. #1
    IncGamers Member Dethklok's Avatar
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    What you think you know about Dexterity is wrong

    I mean, assuming that Kipparrian (http://www.youtube.com/watch?v=K9uVdmdzfb0) is an average representative of the Diablo 3 theorycrafting/statistics community. The linked video contains 2 key things:
    1. Pretty much all the formulas for determining defensive values of Strength, Intelligence, and Dexterity; if you're not familiar with them, I highly recommend viewing it.
    2. The claim that Dexterity has pretty severe diminishing returns and therefore is not as important as bumping Armor or Resist.


    Claim 2 is wrong, and I can prove it. (To be fair, what he has to say about disliking randomness is still somewhat valid as an opinion, as unlucky runs can be frustrating. Nevertheless, I believe that against almost all relevant monsters, you're pretty much dead anyway if you can't take enough hits for a random-based mechanic to pretty much even out; also, sometimes luck is in your favor and randomness helps you eek out a victory you otherwise don't deserve, so lopsided luck isn't always bad, especially from a non-Hardcore perspective where you can afford to take risks.)

    The way I determined this:
    Spoiler



    Here's a chart showing exactly when armor becomes less useful defensively than an equal amount of dexterity. This works for resistances too, just divide the number on the chart by 10 to get the equivalent resistance. Important conclusions are below the chart.
    Code:
                                  DEXTERITY
              100      200      300      400      500      600      700      800      900     1000    1100
    Enemy  10.00%   12.50%   15.00%   17.50%   20.00%   22.00%   24.00%   26.00%   28.00%   30.00%  31.00%
    Level  11.11%    2.86%    2.94%    3.03%    3.12%    2.56%    2.63%    2.70%    2.78%    2.86%   1.45%
       1      850     3449     3349     3250     3150     3849     3749     3650     3549     3449    6849
       2      800     3399     3299     3200     3100     3799     3699     3600     3499     3399    6799
       3      750     3349     3249     3150     3050     3749     3649     3550     3449     3349    6749
       4      700     3299     3199     3100     3000     3699     3599     3500     3399     3299    6699
       5      650     3249     3149     3050     2950     3649     3549     3450     3349     3249    6649
       6      600     3199     3099     3000     2900     3599     3499     3400     3299     3199    6599
       7      550     3149     3049     2950     2850     3549     3449     3350     3249     3149    6549
       8      500     3099     2999     2900     2800     3499     3399     3300     3199     3099    6499
       9      450     3049     2949     2850     2750     3449     3349     3250     3149     3049    6449
      10      400     2999     2899     2800     2700     3399     3299     3200     3099     2999    6399
      11      350     2949     2849     2750     2650     3349     3249     3150     3049     2949    6349
      12      300     2899     2799     2700     2600     3299     3199     3100     2999     2899    6299
      13      250     2849     2749     2650     2550     3249     3149     3050     2949     2849    6249
      14      200     2799     2699     2600     2500     3199     3099     3000     2899     2799    6199
      15      150     2749     2649     2550     2450     3149     3049     2950     2849     2749    6149
      16       99     2699     2599     2500     2400     3099     2999     2900     2799     2699    6099
      17       49     2649     2549     2450     2350     3049     2949     2850     2749     2649    6049
      18              2599     2499     2400     2300     2999     2899     2800     2699     2599    5999
      19              2549     2449     2350     2250     2949     2849     2750     2649     2549    5949
      20              2499     2399     2300     2200     2899     2799     2700     2599     2499    5899
      21              2449     2349     2250     2150     2849     2749     2650     2549     2449    5849
      22              2399     2299     2200     2100     2799     2699     2600     2499     2399    5799
      23              2349     2249     2150     2050     2749     2649     2550     2449     2349    5749
      24              2299     2199     2100     2000     2699     2599     2500     2399     2299    5699
      25              2249     2149     2050     1950     2649     2549     2450     2349     2249    5649
      26              2199     2099     2000     1900     2599     2499     2400     2299     2199    5599
      27              2149     2049     1950     1850     2549     2449     2350     2249     2149    5549
      28              2099     1999     1900     1800     2499     2399     2300     2199     2099    5499
      29              2049     1949     1850     1750     2449     2349     2250     2149     2049    5449
      30              1999     1899     1800     1700     2399     2299     2200     2099     1999    5399
      31              1949     1849     1750     1650     2349     2249     2150     2049     1949    5349
      32              1899     1799     1700     1600     2299     2199     2100     1999     1899    5299
      33              1849     1749     1650     1550     2249     2149     2050     1949     1849    5249
      34              1799     1699     1600     1500     2199     2099     2000     1899     1799    5199
      35              1749     1649     1550     1450     2149     2049     1950     1849     1749    5149
      36              1699     1599     1500     1400     2099     1999     1900     1799     1699    5099
      37              1649     1549     1450     1350     2049     1949     1850     1749     1649    5049
      38              1599     1499     1400     1300     1999     1899     1800     1699     1599    4999
      39              1549     1449     1350     1250     1949     1849     1750     1649     1549    4949
      40              1499     1399     1300     1200     1899     1799     1700     1599     1499    4899
      41              1449     1349     1250     1150     1849     1749     1650     1549     1449    4849
      42              1399     1299     1200     1100     1799     1699     1600     1499     1399    4799
      43              1349     1249     1150     1050     1749     1649     1550     1449     1349    4749
      44              1299     1199     1100     1000     1699     1599     1500     1399     1299    4699
      45              1249     1149     1050      950     1649     1549     1450     1349     1249    4649
      46              1199     1099     1000      900     1599     1499     1400     1299     1199    4599
      47              1149     1049      950      850     1549     1449     1350     1249     1149    4549
      48              1099      999      900      800     1499     1399     1300     1199     1099    4499
      49              1049      949      850      750     1449     1349     1250     1149     1049    4449
      50               999      899      800      700     1399     1299     1200     1099      999    4399
      51               949      849      750      650     1349     1249     1150     1049      949    4349
      52               899      799      700      600     1299     1199     1100      999      899    4299
      53               849      749      650      550     1249     1149     1050      949      849    4249
      54               799      699      600      500     1199     1099     1000      899      799    4199
      55               749      649      550      450     1149     1049      950      849      749    4149
      56               699      599      500      400     1099      999      900      799      699    4099
      57               649      549      450      350     1049      949      850      749      649    4049
      58               599      499      400      300      999      899      800      699      599    3999
      59               549      449      350      250      949      849      750      649      549    3949
      60               499      399      300      200      899      799      700      599      499    3899
      61               449      349      250      150      849      749      650      549      449    3849
      62               399      299      200      100      799      699      600      499      399    3799
      63               349      249      150               749      649      550      449      349    3749
      64               299      199      100               699      599      500      399      299    3699
      65               249      149                        649      549      450      349      249    3649
      66               199       99                        599      499      400      299      199    3599
      67               149                                 549      449      350      249      149    3549
      68                99                                 499      399      300      199       99    3499
      69                                                   449      349      250      149             3449
      70                                                   399      299      200       99             3399
      71                                                   349      249      150                      3349
      72                                                   299      199      100                      3299
      73                                                   249      149                               3249
      74                                                   199       99                               3199
      75                                                   149                                        3149
      76                                                    99                                        3099
      77                                                                                              3049
      78                                                                                              2999
      79                                                                                              2949
      80                                                                                              2899
      81                                                                                              2849
      82                                                                                              2799
      83                                                                                              2749
      84                                                                                              2699
      85                                                                                              2649
      86                                                                                              2599
      87                                                                                              2549
      88                                                                                              2499
      89                                                                                              2449
      90                                                                                              2399
      91                                                                                              2349
      92                                                                                              2299
      93                                                                                              2249
      94                                                                                              2199
      95                                                                                              2149
      96                                                                                              2099
      97                                                                                              2049
      98                                                                                              1999
      99                                                                                              1949
    Here's the original flawed chart and some erroneous text.
    Spoiler
    Character-building conclusions:
    • Characters should get to 100 Dexterity ASAP. Probably by the time you have any choice about what gear you can grab, 100 Dexterity will defensively outclass your other options. Hurray for Shen and his emeralds. If you choose to ignore this, at least admit you enjoy being a glass cannon.
    • Getting to 500 Dexterity, while also having appropriate Armor and resists, is a milestone that indicates a character is ready for the high difficulties. Unlike the 100 Dexterity, it's not automatic, and it's too high a score to cheat into existence with gems alone. Unless you are Dex-based, it's normally best to hold off on this until you are able to make it all the way to 500 (or near 500) in one gear change. Keep one or more high-Dex items in your stash, resocket in some upgraded emeralds, maybe a quick trip to the Auction House for some bargain (but effective) gear, done. If you're entering Hell difficulty and wondering why the mobs are so hard, this might have something to do with it.
    • All characters should have 1000 Dexterity as an end-game goal. It might take you a while to get there, and you might be balancing armor and resistance requirements for quite some time before you find yourself able, but at a certain point you're going to want 1000 Dexterity more than more armor or resists. Simply put, if your final build doesn't have it, you're doing it wrong. However, you shouldn't feel bad if you are still sitting at around 500 Dexterity; it simply means you don't have your ideal setup yet. These things take time.
    • Although I didn't include the columns past 1100, you can tell from the pattern of the chart, once you get past the "speed bumps" at 100 and 500, you actually get increasing returns until the next speed bump. The speed bump at 1000 is steep, but if you can overcome it (either by having a really, really high level, or amazing gear, or some combination of the two), well, welcome to the land of extreme defense. Don't think that only Monks and Demon Hunters are capable of this; although they definitely have the easiest time getting going over 1000 due to +Armor and +resist all gear, going superdex is going to be a viable option, and power gamers are basically going to fall into one of three gear preferences: primary/Dex, Dex/Vit, and primary/Vit (notice for Monks and Demon Hunters all three are the same). Most will probably be somewhat opportunistic and choose any of the three assuming the other mods are in their favor. Simply put, going over 1000 Dex is for elitists, and since all the really, really expensive items are also for elitists, consider a Dex mod on rares to be among the many things sought after on that super-valuable rare.



    All the above statements assume your DPS is not a factor. Depending on class, it might not be. Here's how this information breaks down per class.
    • Monk & Demon Hunter: The winners here. Armor is very easy to get to the breakpoints with gear alone, and although it's a little tricky, you can get lots of virtual Intelligence through +resist all gear. (The Monk has two ways to cheat with passives here: Seize the Initative to have Dexterity count towards armor, or One with Everything to turn a particular flavor of resist gear into resist all gear.) This leaves the Monk and Demon Hunter with only three main gear focuses: life recovery, resistances, and Dexterity. Probably the easiest classes to play on a small budget or when first starting out.
    • Barbarian: Basically the loser here. Gear easily provides plenty of armor, Strength for more armor is overkill. Instead of having a passive that shores up weakness, has a passive that adds even more overkill to overkill (Nerves of Steel; just use Bloodthirsty instead though). Has trouble getting high Dexterity for evade rate while also getting high resists from gear. I'm not saying they're unplayable, but probably need the most effort to find adequate gear; all the issues of a Monk (still need Dexterity), plus having to squeeze in Strength gear for DPS.
    • Wizard and Witch Doctor: Not the winners, but not the main loser either. Like the Barbarian, need a 4th consideration for gear (Intelligence), but this reduces the amount of resistance gear needed, which eases the burden slightly. However, the sheer amount of virtual Intelligence you can get on gear will make these characters cry; when you can emulate 700 Intelligence defensively with a single piece of gear, it makes you wonder why that's your primary offensive stat. Medium in terms of gear-finding difficulty.



    Last edited by Dethklok; 29-05-2012 at 10:58.

  2. #2
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    Re: What you think you know about Dexterity is wrong

    All characters with 1000 or more Armor AND 100 in each resistance are better off investing in Dexterity until they get a 20% dodge chance (500 Dexterity). As you pass enemy level 20, less Armor/Resist is needed for this to be true.
    I pull this one out of context because it illustrates a point of confusion I have with your post. This datapoint isn't extremely useful because it doesn't fit anywhere on most players' progression curve. Also, I follow your logic regarding derivatives. Pretty clever. But it's a point-for-point comparison, when you need to compare the derivatives by affix budget rather than point-for-point. Example: at level 60, compare 230 armor to 60 resist all to 140 dex (not 1 armor 1 resist 1 dex).

    If you follow a real progression curve and consider the affix budget, you will almost always find the stat priority to be:
    resistance > armor > dex > all else.

    We've known for quite a while that the "diminishing returns" on dex at breakpoints turned out to be false. Dex still outscales the other secondary stats by quite a bit. Armor is a strong stat per budget, and dex comes right behind. There's a pretty obvious reason they did that, too - because of the RNG nature of dex, it's only dependable when you're getting pelted rapid fire by a dot, or surrounded by rapid attack monsters.

    I agree though, my calculator for instance tells me that I really do want that 1k dex. I give up almost nothing by getting there, except gold. Pieces with Int, +resist, +armor, AND dex should be optimal gearing and very expensive. Luckily not enough people understand how valuable dex is, so these pieces are currently massively undervalued on the AH (although still rather expensive). Act now while you can.



  3. #3
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    Re: What you think you know about Dexterity is wrong

    Quote Originally Posted by Dethklok View Post
    To be fair, what he has to say about disliking randomness is still somewhat valid as an opinion, as unlucky runs can be frustrating. Nevertheless, I believe that against almost all relevant monsters, you're pretty much dead anyway if you can't take enough hits for a random-based mechanic to pretty much even out; also, sometimes luck is in your favor and randomness helps you eek out a victory you otherwise don't deserve, so lopsided luck isn't always bad, especially from a non-Hardcore perspective where you can afford to take risks.
    Your analysis may be true for melee characters, but for ranged characters, defensive concerns are primarily "can I get one shot, can I not get one shot." As a wizard, increasing my dodge might be the best way to increase my damage mitigation on the average, but I'm not interested in that. I'm interested in not dying. If adding armor/resists/vitality can stop me getting one shot, I'll do that. Adding dex will never stop me getting one shot.

    All the same, it was an interesting analysis, although the equations are hard to read the way you formatted them. For posting equations, the Online LaTeX Equation Editor is a godsend.



  4. #4
    IncGamers Member Dethklok's Avatar
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    Re: What you think you know about Dexterity is wrong

    Quote Originally Posted by zakaluka View Post
    But it's a point-for-point comparison, when you need to compare the derivatives by affix budget rather than point-for-point. Example: at level 60, compare 230 armor to 60 resist all to 140 dex (not 1 armor 1 resist 1 dex).
    Now that's some good criticism. You're absolutely right; when you can score a virtual 600-700 intelligence off an affix, the comparative value of 250ish Dexterity isn't quite as appealing (and I believe that's two affixes, but that's highest available Dex in AH currently; I don't have reliable data on max affixes on-hand). However, calculating that should be pretty easy; simply put 700/250 in front of the "armor" coefficient before recalculating the derivative. I'll have a chart for that later, just because I'm curious.

    Although this might change what gear choices are more desirable, it doesn't diminish the fact that Dexterity is much less competition as a route to a good dodge defense than the others; thus, it doesn't undermine my point of the Monk and Demon Hunter winning. As far as I know, the only other way to get dodge chance is a Monk passive, which is a moot point.
    Quote Originally Posted by zakaluka View Post
    If you follow a real progression curve and consider the affix budget, you will almost always find the stat priority to be:
    resistance > armor > dex > all else.
    I think it should probably be Resistance > Dex > Armor > all else, not including Life on Hit (which is so fundamental you really can't do anything without it). Armor is cheap and plentiful, allocating a budget to it is like allocating a budget to air, it's silly no matter how much you might need it.
    Quote Originally Posted by zakaluka View Post
    I agree though, my calculator for instance tells me that I really do want that 1k dex. I give up almost nothing by getting there, except gold. Pieces with Int, +resist, +armor, AND dex should be optimal gearing and very expensive. Luckily not enough people understand how valuable dex is, so these pieces are currently massively undervalued on the AH (although still rather expensive). Act now while you can.
    LOL... you're welcome.



  5. #5
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    Re: What you think you know about Dexterity is wrong

    I'm not just making this up budget for base stats at ilvl 61 is 141. In that context, armor wins per-budget. Classes with bonus armor abilities might value armor slightly lower though (barb, wd? what is the bonus armor based on for wd? barb's passive +armor=vita devalues raw armor bonuses slightly)

    diablonut.incgamers.com - this shows pretty reliably which affixes are available on which items. There are some cases in there that can be confusing. But you're right, affixes can overlap and you can get more than the max "budget" on an item. This shouldn't matter, because the real measure of how rare an item is comes from whether it actually received those 2 optimal affixes.

    So at 60 you can get a +141 dex/int affix, and a +141 dex/vit affix. Really, potentially another +141 dex affix, but let's call triple overlap incredibly rare. Then the maximum reasonable score would be 282, but still max per-budget is 141. Max budget at ilvl 63 is 200 dex per affix, either 80 or 90 resist all per affix. Don't remember the armor value off the top of my head.

    [also as a side-point, most of us ranged/kiting classes favor +life per second over life on hit, because our most dire moments are when we're running for our lives - won't get much life from leech effects in that timeframe]


    Last edited by zakaluka; 29-05-2012 at 04:53.

  6. #6
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    Re: What you think you know about Dexterity is wrong

    Quote Originally Posted by zakaluka View Post
    [also as a side-point, most of us ranged/kiting classes favor +life per second over life on hit, because our most dire moments are when we're running for our lives - won't get much life from leech effects in that timeframe]
    Also because life on hit simply doesn't work with our attacks. Blizzard and venom hydra don't benefit from either life on hit or life leech. The former I understand, as a damage over time effect tics so often that it would be broken with life on hit. Why it doesn't work with %life leech I have no clue. Life on hit works with electrocute and stuff like that, but you can't kite with that.



  7. #7
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    Re: What you think you know about Dexterity is wrong

    blizzard kiting build is so imprecise and unwieldy, I still think everyone should use an arcane oblit orb/hydra kiting build . But even here life on hit blows. Blizzard divided LOH by about 6 for orb, and 3 for split. Both pretty wrong because it's impossible to average 6 hits per orb or 3 hits per magic missile while kiting.



  8. #8
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    Re: What you think you know about Dexterity is wrong

    Quote Originally Posted by zakaluka View Post
    blizzard kiting build is so imprecise and unwieldy
    I love it for a lot of monster types. I'm farming the keep basement in A3 inferno at the moment with snowbound / venom hydra and it is wonderful. I do, for some monster types, skip the blizzard and just hydra kite though.

    In any case, we're in agreement that life leech / on hit is sadly pretty balls for a wizard.



  9. #9
    IncGamers Member Dethklok's Avatar
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    Re: What you think you know about Dexterity is wrong

    I did another derivative for resistance with a 2.4 coefficient and got the same values... at first, I believed it, but then I realized it had to be wrong. Some testing revealed that the previous formulas were inaccurate. I went back to the drawing board with a non-derivative solution, which gave results that tested properly. I'll be fixing the chart and editing the explanation shortly shortly.

    Here's what the new results indicate:
    1) What I said earlier about comparing stats to Dexterity is still true. Pretty much every high-level character deserves 1000 Dexterity. However, going above 1000 Dexterity is pretty reckless, and should only be the domain of Monks and Demon Hunters. Even then, it's not a particularly great place to go.
    2) It's still true that, at least in terms of class balance, Dexterity is the place to be. Getting 1000 Dexterity is still important, and you have plenty of great ways to cheat in Intelligence-based and Strength-based defense, without actually getting much Strength or Intelligence, so having it as your key attribute is much better than relying on something else to increase DPS.
    3) I compared perfect Resist All (+70) against perfect Dexterity/Intelligence (+133 each). With the exception of getting to 100 Dexterity, it was a complete blowout in res-all's favor. In the rare instance of characters above level 90, who somehow haven't gotten to 500 Dexterity yet, and have 900's (!!!) for all resistances, perhaps Dex/Int could be preferable... but that's not a likely scenario. At all. Verdict: Res all is a better defensive mod. Period. (Makes me feel like a sucker for having Int items on my WD. I should really reclass. As a monk.)
    4) I compared perfect +Armor (+360) against perfect Dexterity/Strength (+133 each). I thought this would be a blowout in Dexterity's favor, but it really wasn't. At the highest levels, the level component of the armor formula becomes apparent, and +Armor items become a much lower priority than getting to 1000 Dexterity. However, +Armor is pretty much always superior to going over 1000 Dexterity, and the breakpoint for non-epic levels is fairly high; for example, a level 60 character would care more about getting Armor to 2800 than going above 500 Dexterity, and about getting Armor to 2300 more than even going above 100 Dexterity! However, by level 80 these drop to 1300 and 2000 respectively. Verdict: Although +armor would probably be more useful to players slogging through mid-to-late Hell or early Inferno, +Dex/+Str is actually a stronger mod when it comes to truly premium items (and, arguably, +Dex/+Int or +Dex/+Vit may be stronger yet). And this is from an Int-based character perspective; once you factor in Barbarian/Monk/Hunter DPS, +Dex/+Str is arguably better sooner.



  10. #10
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    Re: What you think you know about Dexterity is wrong

    pretty interesting stuff - allow me to weigh in.
    comparing 'perfect stats' works well for gems, yet differs greatly for each item slot and ilvl.
    thanks to meticulous datamining, dnut offers a precise account of stat ranges for each slot and ilvl.

    what i could gather from that is the following:
    the lvl 63 armor set (named mostly archon) can have the highest affix range for primary stats,
    which is 170-200 and for secondary stats, which is 90-100.
    primary sources for dex ought to be on gloves and boots, while the primary sources for int are on gloves and helms.
    furthermore the highest vit is found on pants and chest armor and the highest str is found on shoulders and belts
    - pretty balanced actually.
    also any armor piece can have up to 80 all resi, 60 individual resi, 241-260 +armor, but only on helms, pants and chest armor can you find the highest 361-397 +armor.
    there are also mixed primary stats which range from 45-150 each and mixed secondary stats which range from 30-100 each.
    all armor pieces, offhands and rings got the mixed secondary stats, while only the amulet and weapons can have mixed primary stats.

    i guess a good way to build up dex is probably as a mixed stat to vit and to the main attribute.

    though for a wiz with force armor vitality should be more preferable to a certain degree - dunno about the math behind that :S



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