Approved by tennisace, Wyverii and Fuzznip. And sponsored by them, too, apparently.
You would remember that at around the end of last year, I was pondering on a Typing rating for CAP. Now that I have a little bit more time in my hands, I have returned to them, and tried my hand at an offensive typing rating and a defensive typing rating. I think that I have managed to nail the latter rating, but not the former one yet, though I’ll still say something about it.
Be prepared, then, for one longish post; typical of me, really.
The way I had suggested the defensive rating to be calculated last December was roughly as follows. Firstly, I checked how each type fares against each and every Pokemon type, weighted by usage, and averaged this out. Then I multiplied each of these by the type chart of that Pokemon, for each type, and averaged that out also, producing the rating.
What I’m doing now is similar, but now I’m also weighing in the fact that Earthquake is used more than, say, Brave Bird, despite the former move having worse type coverage than the latter. Not only that, but I’m now also taking into account that Ground moves typically have 100 Base Power, for example. Also, I took Stealth Rock into account when it comes to types that are weak or resistant to Rock.
Moreover, I split the defense into two: the physical and the special. For example, the Dark/Fire type (like Houndoom) is quite bad when it comes to physical threats: it is weak to Ground, Fighting AND Rock, and these three types are easily the three most dangerous physical types. However, when it comes to special threats, it does much better, since it resists Fire and Ice and is only neutral to Electric. These three types are, as we shall see soon, the three most dangerous special types in the game. This means that a Dark/Fire type will probably fare better (defensively) against an exclusively special Pokemon than against an exclusively physical one.
So how do we provide this assessment? Firstly, I shall present probably the most important table of all tables relating to Pokemon types. Here is the Type Power Chart:
	
	
	
		
So what do the above numbers mean? Simply put, each number is how much damage each type deals on average. As we can see, the highest damage is statistically done by Physical Ground, very closely followed by Physical Fighting, and then Special Fire comes in third. The above numbers are weighted according to Pokemon usage, Pokemon types, move usage and move power... and, in addition to all this, they are also “normalized”. We shall see later what this means.
(The numbers under the ‘Mixed’ column are just the average of the physical and special numbers.)
Now, how do we use the above numbers? Suppose we want to find how defensive the Fire / Dark type we were considering earlier is. We first check the Fire / Dark type chart, and we find that Fire / Dark is immune to Psychic, resistant to Dark, Fire, Ghost, Grass, Ice and Steel, weak to Fighting, Ground, Rock and Water, and neutral to everything else. This translates to:
	
	
	
		
Now what we do is multiply each of these numbers by the corresponding numbers in the Type Power chart for Physical, and subtract their total from 53.33. We do the same for Special and for Mixed.
For Physical Type Defense, we have 1.32 x 1 + 1.89 x 0.5 + 1.47 x 1 + 0.42 x 1 + 4.16 x 2 + 0.71 x 0.5 + 0.72 x 1 + 0.08 x 0.5 + 0.46 x 0.5 + 4.18 x 2 + 1.06 x 0.5 + 0.70 x 0.5 + 0.04 x 0.5 + 0.14 x 0 + 2.76 x 2 + 1.44 x 0.5 + 1.14 x 2 = 31.95. Subtracting this from 53.33 we get 21.38.
Similarly, for Special Type Defense, we get 17.76. Subtracting from 53.33 we get 35.57.
For Mixed Type Defense, we can just find the average of the two numbers above, instead of going through the whole routine again, getting 28.47.
What do these numbers mean? Now we get to what it means for the numbers in the table to be “normalized”. Basically, the average Type Defense is 30, and the standard deviation of all the Type Defenses is 5. This means that we have a pretty bad Physical Type defense, a quite good Special Type defense, and a below average Mixed Type defense for a Fire / Dark Pokemon.
These calculations are rather simple, but they quickly become tedious. Fear not, though, as I have calculated them for every type combination already for you! Here they are, in three tables: one sorted in order of best Mixed Type Defense first, the second one sorted in order of best Physical Type Defense first, and the third one sorted in order of best Special Type Defense first:
Defensive Types, sorted by Mixed:
	
	
	
		
Defensive Types, sorted by Physical:
	
	
	
		
Defensive Types, sorted by Special:
	
	
	
		
So now you don’t need to use the first table I presented to check out how the type fares defensively... all numbers are readily calculated in the above three tables.
The first table can be used to incorporate a few abilities in these calculations as well, however. For example, in our previous Houndoom example, Houndoom has the ability Flash Fire, with which it becomes immune to Fire moves. Hence, its Type Defense is slightly higher than that listed in the table for Fire / Dark. To fix this, we could do it by hand again and replace ‘Fire 0.5’ by ‘Fire 0’ in our type effectiveness chart, but this is tedious. It would be better to just take the ready-made value for Fire / Dark, and add ‘something’ to it so that Flash Fire is taken care of.
Here is a small table containing a few abilities, and what to do to ‘fix’ the Defensive Rating to conform with the ability:
	
	
	
		
TE here means ‘Type Effectiveness’ and PTD is the original Physical Type Defense. So, for our Flash Fire Houndoom example, Houndoom is already resistant to Fire even without Flash Fire, so Fire TE = 0.5. Hence we have:
Physical Type Defense: 21.38 + 0.71 x 0.5 = 21.735
Special Type Defense: 35.57 + 3.71 x 0.5 = 37.425
Mixed Type Defense: 28.47 + 2.21 x 0.5 = 29.575 (or we could have again found the average of Physical Type Defense and Special Type Defense)
Interestingly, if you try Dark / Ghost with Wonder Guard, you should get the value 53.33 for all three of Physical, Special and Mixed Type Defenses. Try it out. This number 53.33 is the absolute maximum number that a type combination defense can reach, which corresponds to being immune to all types (as Wonder Guard Spiritomb would be!).
Unsurprisingly, we could also incorporate this Type Defense with the Physical and Special Tankiness in the Base Stats Ratings:
	
	
	
		
I’ve yet to do this thoroughly, though, so I’ll just leave you with these formulae for now.
Finally, a small word on Type Offense is in order. I have actually tried to do this as well, before realising that it doesn’t make sense, as I have suspected for a long time. Something that could work, though, is not Type Offense, but Movepool Offense. Basically I combine the movepool and typing of a Pokemon to rate the Pokemon’s movepool and type offense. This could then be combined with Physical and Special Sweepiness, much like the fact that Type Defense can be combined with Tankiness. Having a list of Very Good Moves and Competitive Moves helps a great deal to be able to create such a rating, so I might tackle that in the not-so-distant future.
I told you it was going to be a looooong post. :) I'm sure that I haven't explained everything completely thoroughly, so feel free to ask any questions or... (gasp) point out mistakes!
				
			You would remember that at around the end of last year, I was pondering on a Typing rating for CAP. Now that I have a little bit more time in my hands, I have returned to them, and tried my hand at an offensive typing rating and a defensive typing rating. I think that I have managed to nail the latter rating, but not the former one yet, though I’ll still say something about it.
Be prepared, then, for one longish post; typical of me, really.
The way I had suggested the defensive rating to be calculated last December was roughly as follows. Firstly, I checked how each type fares against each and every Pokemon type, weighted by usage, and averaged this out. Then I multiplied each of these by the type chart of that Pokemon, for each type, and averaged that out also, producing the rating.
What I’m doing now is similar, but now I’m also weighing in the fact that Earthquake is used more than, say, Brave Bird, despite the former move having worse type coverage than the latter. Not only that, but I’m now also taking into account that Ground moves typically have 100 Base Power, for example. Also, I took Stealth Rock into account when it comes to types that are weak or resistant to Rock.
Moreover, I split the defense into two: the physical and the special. For example, the Dark/Fire type (like Houndoom) is quite bad when it comes to physical threats: it is weak to Ground, Fighting AND Rock, and these three types are easily the three most dangerous physical types. However, when it comes to special threats, it does much better, since it resists Fire and Ice and is only neutral to Electric. These three types are, as we shall see soon, the three most dangerous special types in the game. This means that a Dark/Fire type will probably fare better (defensively) against an exclusively special Pokemon than against an exclusively physical one.
So how do we provide this assessment? Firstly, I shall present probably the most important table of all tables relating to Pokemon types. Here is the Type Power Chart:
		Code:
	
	    Type  Physical  Special  Mixed
-----------------------------------
     Bug      1.32     0.14   0.73
    Dark      1.89     0.09   0.99
  Dragon      1.47     0.99   1.23
Electric      0.42     2.90   1.66
Fighting      4.16     0.69   2.42
    Fire      0.71     3.71   2.21
  Flying      0.72     0.31   0.51
   Ghost      0.08     1.19   0.63
   Grass      0.46     1.23   0.85
  Ground      4.18     0.61   2.39
     Ice      1.06     2.22   1.64
  Normal      0.70     0.11   0.40
  Poison      0.04     0.09   0.07
 Psychic      0.14     0.72   0.43
    Rock      2.76     0.90   1.83
   Steel      1.44     0.08   0.76
   Water      1.14     2.28   1.71So what do the above numbers mean? Simply put, each number is how much damage each type deals on average. As we can see, the highest damage is statistically done by Physical Ground, very closely followed by Physical Fighting, and then Special Fire comes in third. The above numbers are weighted according to Pokemon usage, Pokemon types, move usage and move power... and, in addition to all this, they are also “normalized”. We shall see later what this means.
(The numbers under the ‘Mixed’ column are just the average of the physical and special numbers.)
Now, how do we use the above numbers? Suppose we want to find how defensive the Fire / Dark type we were considering earlier is. We first check the Fire / Dark type chart, and we find that Fire / Dark is immune to Psychic, resistant to Dark, Fire, Ghost, Grass, Ice and Steel, weak to Fighting, Ground, Rock and Water, and neutral to everything else. This translates to:
		Code:
	
	     Bug    1
    Dark  0.5
  Dragon    1
Electric    1
Fighting    2
    Fire  0.5
  Flying    1
   Ghost  0.5
   Grass  0.5
  Ground    2
     Ice  0.5
  Normal    1
  Poison    1
 Psychic    0
    Rock    2
   Steel  0.5
   Water    2Now what we do is multiply each of these numbers by the corresponding numbers in the Type Power chart for Physical, and subtract their total from 53.33. We do the same for Special and for Mixed.
For Physical Type Defense, we have 1.32 x 1 + 1.89 x 0.5 + 1.47 x 1 + 0.42 x 1 + 4.16 x 2 + 0.71 x 0.5 + 0.72 x 1 + 0.08 x 0.5 + 0.46 x 0.5 + 4.18 x 2 + 1.06 x 0.5 + 0.70 x 0.5 + 0.04 x 0.5 + 0.14 x 0 + 2.76 x 2 + 1.44 x 0.5 + 1.14 x 2 = 31.95. Subtracting this from 53.33 we get 21.38.
Similarly, for Special Type Defense, we get 17.76. Subtracting from 53.33 we get 35.57.
For Mixed Type Defense, we can just find the average of the two numbers above, instead of going through the whole routine again, getting 28.47.
What do these numbers mean? Now we get to what it means for the numbers in the table to be “normalized”. Basically, the average Type Defense is 30, and the standard deviation of all the Type Defenses is 5. This means that we have a pretty bad Physical Type defense, a quite good Special Type defense, and a below average Mixed Type defense for a Fire / Dark Pokemon.
These calculations are rather simple, but they quickly become tedious. Fear not, though, as I have calculated them for every type combination already for you! Here they are, in three tables: one sorted in order of best Mixed Type Defense first, the second one sorted in order of best Physical Type Defense first, and the third one sorted in order of best Special Type Defense first:
Defensive Types, sorted by Mixed:
		Code:
	
	               Type  Physical  Special  Mixed
----------------------------------------------
       Dark / Ghost     35.66    36.64  36.15
     Ghost / Normal     34.37    37.09  35.73
   Fighting / Ghost     36.95    34.26  35.61
      Ghost / Steel     35.66    34.98  35.32
      Ghost / Water     35.51    34.73  35.12
     Flying / Steel     38.28    31.94  35.11
     Dragon / Water     31.29    38.62  34.95
     Dragon / Ghost     33.04    36.57  34.80
              Ghost     34.21    34.72  34.46
      Grass / Water     32.24    36.59  34.42
     Ground / Water     32.16    36.67  34.42
  Electric / Flying     35.04    33.79  34.42
   Fighting / Water     34.07    34.62  34.35
  Dragon / Fighting     31.61    36.47  34.04
 Fighting / Psychic     33.31    34.38  33.84
           Fighting     32.78    34.61  33.69
  Fighting / Flying     36.72    30.65  33.69
     Dragon / Steel     28.00    39.16  33.58
   Electric / Ghost     31.32    35.76  33.54
              Water     31.95    35.08  33.52
        Bug / Water     32.74    33.90  33.32
   Electric / Water     28.91    37.55  33.23
             Dragon     29.48    36.93  33.20
     Poison / Water     30.84    35.45  33.15
Electric / Fighting     30.24    35.81  33.03
      Ghost / Grass     34.13    31.88  33.01
     Ghost / Ground     33.35    32.36  32.86
    Flying / Poison     34.90    30.54  32.72
    Psychic / Water     30.80    34.38  32.59
      Steel / Water     28.92    36.06  32.49
     Bug / Fighting     33.64    31.10  32.37
       Bug / Dragon     29.92    34.82  32.37
     Flying / Water     35.18    29.52  32.35
    Dark / Fighting     28.76    35.91  32.33
     Flying / Ghost     34.70    29.96  32.33
       Fire / Grass     28.41    36.19  32.30
  Fighting / Poison     30.97    33.61  32.29
   Dragon / Psychic     28.34    36.22  32.28
     Ghost / Poison     30.46    34.07  32.26
    Psychic / Steel     30.21    34.31  32.26
    Dragon / Poison     28.03    36.37  32.20
      Dark / Poison     27.85    36.49  32.17
             Flying     33.54    30.69  32.12
             Poison     29.32    34.83  32.07
   Normal / Psychic     27.59    36.40  31.99
            Psychic     29.51    34.37  31.94
           Electric     27.76    36.11  31.94
  Fighting / Normal     28.70    35.11  31.91
    Flying / Ground     33.66    30.11  31.89
  Dragon / Electric     26.48    37.24  31.86
      Dark / Flying     31.93    31.63  31.78
     Normal / Water     27.87    35.58  31.73
   Fighting / Grass     31.97    31.42  31.69
     Bug / Electric     30.41    32.92  31.66
  Fighting / Ground     31.24    32.06  31.65
       Dark / Water     27.60    35.61  31.61
     Grass / Poison     31.21    31.99  31.60
    Fighting / Fire     28.24    34.93  31.59
    Flying / Normal     31.55    31.53  31.54
        Bug / Ghost     32.33    30.72  31.53
    Normal / Poison     27.32    35.67  31.49
    Dragon / Flying     31.41    31.47  31.44
       Fire / Ghost     28.30    34.58  31.44
    Dragon / Normal     25.40    37.43  31.42
   Fighting / Steel     28.72    33.92  31.32
      Dark / Dragon     25.13    37.46  31.30
      Dragon / Fire     24.71    37.84  31.27
             Ground     29.80    32.74  31.27
                Bug     30.85    31.42  31.14
   Electric / Grass     29.35    32.89  31.12
   Poison / Psychic     27.86    34.38  31.12
     Dark / Psychic     26.84    35.38  31.11
             Normal     26.57    35.57  31.07
    Ghost / Psychic     29.67    32.46  31.07
 Electric / Psychic     26.62    35.41  31.01
              Grass     29.90    32.12  31.01
               Dark     26.30    35.60  30.95
   Flying / Psychic     32.02    29.88  30.95
              Steel     27.66    34.15  30.91
    Ground / Poison     28.69    33.09  30.89
       Bug / Ground     31.62    30.16  30.89
       Fire / Water     26.36    35.24  30.80
       Bug / Poison     30.45    31.00  30.73
       Bug / Normal     28.85    32.26  30.56
        Ghost / Ice     29.83    31.13  30.48
         Bug / Dark     28.58    32.29  30.44
    Dragon / Ground     28.16    32.69  30.42
   Ground / Psychic     28.66    32.03  30.35
        Bug / Steel     32.94    27.73  30.34
      Fire / Flying     29.46    31.06  30.26
  Electric / Normal     23.68    36.61  30.15
       Ghost / Rock     27.72    32.54  30.13
     Ground / Steel     26.87    33.27  30.07
    Dark / Electric     23.41    36.64  30.03
               Fire     25.06    34.97  30.02
     Dragon / Grass     27.52    32.01  29.76
      Flying / Rock     29.74    29.48  29.61
      Bug / Psychic     28.67    30.54  29.61
  Electric / Ground     26.70    32.33  29.52
    Ground / Normal     25.73    33.24  29.48
     Fire / Psychic     24.58    34.34  29.46
      Dark / Ground     25.46    33.27  29.36
    Grass / Psychic     27.44    31.28  29.36
      Grass / Steel     29.76    28.91  29.33
     Grass / Normal     25.82    32.62  29.22
      Fire / Ground     25.22    32.54  28.88
         Bug / Rock     25.68    31.91  28.79
  Electric / Poison     22.25    35.26  28.75
       Dragon / Ice     21.83    35.62  28.73
     Poison / Steel     23.84    33.61  28.72
         Bug / Fire     24.84    32.27  28.55
        Dark / Fire     21.38    35.57  28.47
     Flying / Grass     30.39    26.43  28.41
       Dark / Grass     24.24    32.51  28.37
       Grass / Rock     23.23    33.45  28.34
     Grass / Ground     28.59    27.93  28.26
      Fire / Normal     20.99    35.47  28.23
     Fighting / Ice     25.62    30.79  28.21
        Ice / Water     24.22    32.15  28.19
    Fighting / Rock     22.85    31.98  27.41
      Dragon / Rock     19.81    34.98  27.39
   Electric / Steel     20.06    34.49  27.27
       Ice / Poison     22.86    30.90  26.88
       Rock / Water     22.31    31.32  26.82
      Ice / Psychic     23.05    30.44  26.74
       Fire / Steel     18.57    34.83  26.70
     Psychic / Rock     21.30    31.93  26.61
       Ground / Ice     23.18    30.03  26.60
       Bug / Flying     27.74    25.35  26.55
    Electric / Fire     17.64    35.38  26.51
                Ice     22.11    30.80  26.46
      Fire / Poison     19.11    33.77  26.44
      Dark / Normal     18.03    34.82  26.43
     Normal / Steel     19.39    33.37  26.38
               Rock     20.36    32.29  26.33
       Dark / Steel     19.25    33.39  26.32
       Flying / Ice     24.86    26.97  25.91
     Electric / Ice     19.94    31.88  25.91
        Bug / Grass     27.51    23.99  25.75
      Poison / Rock     17.15    32.37  24.76
    Electric / Rock     13.83    32.69  23.26
        Grass / Ice     21.18    25.25  23.21
         Fire / Ice     14.58    31.14  22.86
       Ice / Normal     13.88    30.61  22.25
      Ground / Rock     17.90    26.42  22.16
         Dark / Ice     13.61    30.64  22.13
      Normal / Rock     12.13    32.10  22.12
        Dark / Rock     11.86    32.13  22.00
          Bug / Ice     20.92    22.88  21.90
       Rock / Steel     09.97    32.43  21.20
        Ice / Steel     16.09    25.42  20.76
        Fire / Rock     10.23    29.03  19.63
         Ice / Rock     06.59    29.10  17.84Defensive Types, sorted by Physical:
		Code:
	
	               Type  Physical  Special  Mixed
----------------------------------------------
     Flying / Steel     38.28    31.94  35.11
   Fighting / Ghost     36.95    34.26  35.61
  Fighting / Flying     36.72    30.65  33.69
      Ghost / Steel     35.66    34.98  35.32
       Dark / Ghost     35.66    36.64  36.15
      Ghost / Water     35.51    34.73  35.12
     Flying / Water     35.18    29.52  32.35
  Electric / Flying     35.04    33.79  34.42
    Flying / Poison     34.90    30.54  32.72
     Flying / Ghost     34.70    29.96  32.33
     Ghost / Normal     34.37    37.09  35.73
              Ghost     34.21    34.72  34.46
      Ghost / Grass     34.13    31.88  33.01
   Fighting / Water     34.07    34.62  34.35
    Flying / Ground     33.66    30.11  31.89
     Bug / Fighting     33.64    31.10  32.37
             Flying     33.54    30.69  32.12
     Ghost / Ground     33.35    32.36  32.86
 Fighting / Psychic     33.31    34.38  33.84
     Dragon / Ghost     33.04    36.57  34.80
        Bug / Steel     32.94    27.73  30.34
           Fighting     32.78    34.61  33.69
        Bug / Water     32.74    33.90  33.32
        Bug / Ghost     32.33    30.72  31.53
      Grass / Water     32.24    36.59  34.42
     Ground / Water     32.16    36.67  34.42
   Flying / Psychic     32.02    29.88  30.95
   Fighting / Grass     31.97    31.42  31.69
              Water     31.95    35.08  33.52
      Dark / Flying     31.93    31.63  31.78
       Bug / Ground     31.62    30.16  30.89
  Dragon / Fighting     31.61    36.47  34.04
    Flying / Normal     31.55    31.53  31.54
    Dragon / Flying     31.41    31.47  31.44
   Electric / Ghost     31.32    35.76  33.54
     Dragon / Water     31.29    38.62  34.95
  Fighting / Ground     31.24    32.06  31.65
     Grass / Poison     31.21    31.99  31.60
  Fighting / Poison     30.97    33.61  32.29
                Bug     30.85    31.42  31.14
     Poison / Water     30.84    35.45  33.15
    Psychic / Water     30.80    34.38  32.59
     Ghost / Poison     30.46    34.07  32.26
       Bug / Poison     30.45    31.00  30.73
     Bug / Electric     30.41    32.92  31.66
     Flying / Grass     30.39    26.43  28.41
Electric / Fighting     30.24    35.81  33.03
    Psychic / Steel     30.21    34.31  32.26
       Bug / Dragon     29.92    34.82  32.37
              Grass     29.90    32.12  31.01
        Ghost / Ice     29.83    31.13  30.48
             Ground     29.80    32.74  31.27
      Grass / Steel     29.76    28.91  29.33
      Flying / Rock     29.74    29.48  29.61
    Ghost / Psychic     29.67    32.46  31.07
            Psychic     29.51    34.37  31.94
             Dragon     29.48    36.93  33.20
      Fire / Flying     29.46    31.06  30.26
   Electric / Grass     29.35    32.89  31.12
             Poison     29.32    34.83  32.07
      Steel / Water     28.92    36.06  32.49
   Electric / Water     28.91    37.55  33.23
       Bug / Normal     28.85    32.26  30.56
    Dark / Fighting     28.76    35.91  32.33
   Fighting / Steel     28.72    33.92  31.32
  Fighting / Normal     28.70    35.11  31.91
    Ground / Poison     28.69    33.09  30.89
      Bug / Psychic     28.67    30.54  29.61
   Ground / Psychic     28.66    32.03  30.35
     Grass / Ground     28.59    27.93  28.26
         Bug / Dark     28.58    32.29  30.44
       Fire / Grass     28.41    36.19  32.30
   Dragon / Psychic     28.34    36.22  32.28
       Fire / Ghost     28.30    34.58  31.44
    Fighting / Fire     28.24    34.93  31.59
    Dragon / Ground     28.16    32.69  30.42
    Dragon / Poison     28.03    36.37  32.20
     Dragon / Steel     28.00    39.16  33.58
     Normal / Water     27.87    35.58  31.73
   Poison / Psychic     27.86    34.38  31.12
      Dark / Poison     27.85    36.49  32.17
           Electric     27.76    36.11  31.94
       Bug / Flying     27.74    25.35  26.55
       Ghost / Rock     27.72    32.54  30.13
              Steel     27.66    34.15  30.91
       Dark / Water     27.60    35.61  31.61
   Normal / Psychic     27.59    36.40  31.99
     Dragon / Grass     27.52    32.01  29.76
        Bug / Grass     27.51    23.99  25.75
    Grass / Psychic     27.44    31.28  29.36
    Normal / Poison     27.32    35.67  31.49
     Ground / Steel     26.87    33.27  30.07
     Dark / Psychic     26.84    35.38  31.11
  Electric / Ground     26.70    32.33  29.52
 Electric / Psychic     26.62    35.41  31.01
             Normal     26.57    35.57  31.07
  Dragon / Electric     26.48    37.24  31.86
       Fire / Water     26.36    35.24  30.80
               Dark     26.30    35.60  30.95
     Grass / Normal     25.82    32.62  29.22
    Ground / Normal     25.73    33.24  29.48
         Bug / Rock     25.68    31.91  28.79
     Fighting / Ice     25.62    30.79  28.21
      Dark / Ground     25.46    33.27  29.36
    Dragon / Normal     25.40    37.43  31.42
      Fire / Ground     25.22    32.54  28.88
      Dark / Dragon     25.13    37.46  31.30
               Fire     25.06    34.97  30.02
       Flying / Ice     24.86    26.97  25.91
         Bug / Fire     24.84    32.27  28.55
      Dragon / Fire     24.71    37.84  31.27
     Fire / Psychic     24.58    34.34  29.46
       Dark / Grass     24.24    32.51  28.37
        Ice / Water     24.22    32.15  28.19
     Poison / Steel     23.84    33.61  28.72
  Electric / Normal     23.68    36.61  30.15
    Dark / Electric     23.41    36.64  30.03
       Grass / Rock     23.23    33.45  28.34
       Ground / Ice     23.18    30.03  26.60
      Ice / Psychic     23.05    30.44  26.74
       Ice / Poison     22.86    30.90  26.88
    Fighting / Rock     22.85    31.98  27.41
       Rock / Water     22.31    31.32  26.82
  Electric / Poison     22.25    35.26  28.75
                Ice     22.11    30.80  26.46
       Dragon / Ice     21.83    35.62  28.73
        Dark / Fire     21.38    35.57  28.47
     Psychic / Rock     21.30    31.93  26.61
        Grass / Ice     21.18    25.25  23.21
      Fire / Normal     20.99    35.47  28.23
          Bug / Ice     20.92    22.88  21.90
               Rock     20.36    32.29  26.33
   Electric / Steel     20.06    34.49  27.27
     Electric / Ice     19.94    31.88  25.91
      Dragon / Rock     19.81    34.98  27.39
     Normal / Steel     19.39    33.37  26.38
       Dark / Steel     19.25    33.39  26.32
      Fire / Poison     19.11    33.77  26.44
       Fire / Steel     18.57    34.83  26.70
      Dark / Normal     18.03    34.82  26.43
      Ground / Rock     17.90    26.42  22.16
    Electric / Fire     17.64    35.38  26.51
      Poison / Rock     17.15    32.37  24.76
        Ice / Steel     16.09    25.42  20.76
         Fire / Ice     14.58    31.14  22.86
       Ice / Normal     13.88    30.61  22.25
    Electric / Rock     13.83    32.69  23.26
         Dark / Ice     13.61    30.64  22.13
      Normal / Rock     12.13    32.10  22.12
        Dark / Rock     11.86    32.13  22.00
        Fire / Rock     10.23    29.03  19.63
       Rock / Steel     09.97    32.43  21.20
         Ice / Rock     06.59    29.10  17.84Defensive Types, sorted by Special:
		Code:
	
	               Type  Physical  Special  Mixed
----------------------------------------------
     Dragon / Steel     28.00    39.16  33.58
     Dragon / Water     31.29    38.62  34.95
      Dragon / Fire     24.71    37.84  31.27
   Electric / Water     28.91    37.55  33.23
      Dark / Dragon     25.13    37.46  31.30
    Dragon / Normal     25.40    37.43  31.42
  Dragon / Electric     26.48    37.24  31.86
     Ghost / Normal     34.37    37.09  35.73
             Dragon     29.48    36.93  33.20
     Ground / Water     32.16    36.67  34.42
    Dark / Electric     23.41    36.64  30.03
       Dark / Ghost     35.66    36.64  36.15
  Electric / Normal     23.68    36.61  30.15
      Grass / Water     32.24    36.59  34.42
     Dragon / Ghost     33.04    36.57  34.80
      Dark / Poison     27.85    36.49  32.17
  Dragon / Fighting     31.61    36.47  34.04
   Normal / Psychic     27.59    36.40  31.99
    Dragon / Poison     28.03    36.37  32.20
   Dragon / Psychic     28.34    36.22  32.28
       Fire / Grass     28.41    36.19  32.30
           Electric     27.76    36.11  31.94
      Steel / Water     28.92    36.06  32.49
    Dark / Fighting     28.76    35.91  32.33
Electric / Fighting     30.24    35.81  33.03
   Electric / Ghost     31.32    35.76  33.54
    Normal / Poison     27.32    35.67  31.49
       Dragon / Ice     21.83    35.62  28.73
       Dark / Water     27.60    35.61  31.61
               Dark     26.30    35.60  30.95
     Normal / Water     27.87    35.58  31.73
             Normal     26.57    35.57  31.07
        Dark / Fire     21.38    35.57  28.47
      Fire / Normal     20.99    35.47  28.23
     Poison / Water     30.84    35.45  33.15
 Electric / Psychic     26.62    35.41  31.01
    Electric / Fire     17.64    35.38  26.51
     Dark / Psychic     26.84    35.38  31.11
  Electric / Poison     22.25    35.26  28.75
       Fire / Water     26.36    35.24  30.80
  Fighting / Normal     28.70    35.11  31.91
              Water     31.95    35.08  33.52
      Ghost / Steel     35.66    34.98  35.32
      Dragon / Rock     19.81    34.98  27.39
               Fire     25.06    34.97  30.02
    Fighting / Fire     28.24    34.93  31.59
       Fire / Steel     18.57    34.83  26.70
             Poison     29.32    34.83  32.07
       Bug / Dragon     29.92    34.82  32.37
      Dark / Normal     18.03    34.82  26.43
      Ghost / Water     35.51    34.73  35.12
              Ghost     34.21    34.72  34.46
   Fighting / Water     34.07    34.62  34.35
           Fighting     32.78    34.61  33.69
       Fire / Ghost     28.30    34.58  31.44
   Electric / Steel     20.06    34.49  27.27
 Fighting / Psychic     33.31    34.38  33.84
    Psychic / Water     30.80    34.38  32.59
   Poison / Psychic     27.86    34.38  31.12
            Psychic     29.51    34.37  31.94
     Fire / Psychic     24.58    34.34  29.46
    Psychic / Steel     30.21    34.31  32.26
   Fighting / Ghost     36.95    34.26  35.61
              Steel     27.66    34.15  30.91
     Ghost / Poison     30.46    34.07  32.26
   Fighting / Steel     28.72    33.92  31.32
        Bug / Water     32.74    33.90  33.32
  Electric / Flying     35.04    33.79  34.42
      Fire / Poison     19.11    33.77  26.44
  Fighting / Poison     30.97    33.61  32.29
     Poison / Steel     23.84    33.61  28.72
       Grass / Rock     23.23    33.45  28.34
       Dark / Steel     19.25    33.39  26.32
     Normal / Steel     19.39    33.37  26.38
     Ground / Steel     26.87    33.27  30.07
      Dark / Ground     25.46    33.27  29.36
    Ground / Normal     25.73    33.24  29.48
    Ground / Poison     28.69    33.09  30.89
     Bug / Electric     30.41    32.92  31.66
   Electric / Grass     29.35    32.89  31.12
             Ground     29.80    32.74  31.27
    Dragon / Ground     28.16    32.69  30.42
    Electric / Rock     13.83    32.69  23.26
     Grass / Normal     25.82    32.62  29.22
       Ghost / Rock     27.72    32.54  30.13
      Fire / Ground     25.22    32.54  28.88
       Dark / Grass     24.24    32.51  28.37
    Ghost / Psychic     29.67    32.46  31.07
       Rock / Steel     09.97    32.43  21.20
      Poison / Rock     17.15    32.37  24.76
     Ghost / Ground     33.35    32.36  32.86
  Electric / Ground     26.70    32.33  29.52
         Bug / Dark     28.58    32.29  30.44
               Rock     20.36    32.29  26.33
         Bug / Fire     24.84    32.27  28.55
       Bug / Normal     28.85    32.26  30.56
        Ice / Water     24.22    32.15  28.19
        Dark / Rock     11.86    32.13  22.00
              Grass     29.90    32.12  31.01
      Normal / Rock     12.13    32.10  22.12
  Fighting / Ground     31.24    32.06  31.65
   Ground / Psychic     28.66    32.03  30.35
     Dragon / Grass     27.52    32.01  29.76
     Grass / Poison     31.21    31.99  31.60
    Fighting / Rock     22.85    31.98  27.41
     Flying / Steel     38.28    31.94  35.11
     Psychic / Rock     21.30    31.93  26.61
         Bug / Rock     25.68    31.91  28.79
     Electric / Ice     19.94    31.88  25.91
      Ghost / Grass     34.13    31.88  33.01
      Dark / Flying     31.93    31.63  31.78
    Flying / Normal     31.55    31.53  31.54
    Dragon / Flying     31.41    31.47  31.44
   Fighting / Grass     31.97    31.42  31.69
                Bug     30.85    31.42  31.14
       Rock / Water     22.31    31.32  26.82
    Grass / Psychic     27.44    31.28  29.36
         Fire / Ice     14.58    31.14  22.86
        Ghost / Ice     29.83    31.13  30.48
     Bug / Fighting     33.64    31.10  32.37
      Fire / Flying     29.46    31.06  30.26
       Bug / Poison     30.45    31.00  30.73
       Ice / Poison     22.86    30.90  26.88
                Ice     22.11    30.80  26.46
     Fighting / Ice     25.62    30.79  28.21
        Bug / Ghost     32.33    30.72  31.53
             Flying     33.54    30.69  32.12
  Fighting / Flying     36.72    30.65  33.69
         Dark / Ice     13.61    30.64  22.13
       Ice / Normal     13.88    30.61  22.25
      Bug / Psychic     28.67    30.54  29.61
    Flying / Poison     34.90    30.54  32.72
      Ice / Psychic     23.05    30.44  26.74
       Bug / Ground     31.62    30.16  30.89
    Flying / Ground     33.66    30.11  31.89
       Ground / Ice     23.18    30.03  26.60
     Flying / Ghost     34.70    29.96  32.33
   Flying / Psychic     32.02    29.88  30.95
     Flying / Water     35.18    29.52  32.35
      Flying / Rock     29.74    29.48  29.61
         Ice / Rock     06.59    29.10  17.84
        Fire / Rock     10.23    29.03  19.63
      Grass / Steel     29.76    28.91  29.33
     Grass / Ground     28.59    27.93  28.26
        Bug / Steel     32.94    27.73  30.34
       Flying / Ice     24.86    26.97  25.91
     Flying / Grass     30.39    26.43  28.41
      Ground / Rock     17.90    26.42  22.16
        Ice / Steel     16.09    25.42  20.76
       Bug / Flying     27.74    25.35  26.55
        Grass / Ice     21.18    25.25  23.21
        Bug / Grass     27.51    23.99  25.75
          Bug / Ice     20.92    22.88  21.90So now you don’t need to use the first table I presented to check out how the type fares defensively... all numbers are readily calculated in the above three tables.
The first table can be used to incorporate a few abilities in these calculations as well, however. For example, in our previous Houndoom example, Houndoom has the ability Flash Fire, with which it becomes immune to Fire moves. Hence, its Type Defense is slightly higher than that listed in the table for Fire / Dark. To fix this, we could do it by hand again and replace ‘Fire 0.5’ by ‘Fire 0’ in our type effectiveness chart, but this is tedious. It would be better to just take the ready-made value for Fire / Dark, and add ‘something’ to it so that Flash Fire is taken care of.
Here is a small table containing a few abilities, and what to do to ‘fix’ the Defensive Rating to conform with the ability:
		Code:
	
	                Ability                            Physical                             Special                               Mixed
------------------------------------------------------------------------------------------------------------------------------------
               Levitate                  + (4.18xGround TE)                  + (0.61xGround TE)                  + (2.39xGround TE)
             Flash Fire                    + (0.71xFire TE)                    + (3.71xFire TE)                    + (2.21xFire TE)
               Dry Skin  + (1.14xWater TE) - (0.18xFire TE)  + (2.28xWater TE) - (0.93xFire TE)  + (1.71xWater TE) - (0.55xFire TE)
           Water Absorb                   + (1.14xWater TE)                   + (2.28xWater TE)                   + (1.71xWater TE)
              Thick Fat    + (0.53xIce TE) + (0.36xFire TE)    + (1.11xIce TE) + (1.85xFire TE)    + (0.82xIce TE) + (1.11xFire TE)
Motor Drive/Volt Absorb                + (0.42xElectric TE)                + (2.90xElectric TE)                + (1.66xElectric TE)
              Heatproof                    + (0.36xFire TE)                    + (1.85xFire TE)                    + (1.11xFire TE)
      Solid Rock/Filter       + (0.25xPTPxTE) for each TE>1       + (0.25xSTPxTE) for each TE>1       + (0.25xMTPxTE) for each TE>1
           Wonder Guard            + (PTPxTE) for each TE<2            + (STPxTE) for each TE<2            + (MTPxTE) for each TE<2
Intimidate (not switch)                + 17.78 - (0.33xPTD)                      Stays the same                + 8.89 - (0.167xPTD)TE here means ‘Type Effectiveness’ and PTD is the original Physical Type Defense. So, for our Flash Fire Houndoom example, Houndoom is already resistant to Fire even without Flash Fire, so Fire TE = 0.5. Hence we have:
Physical Type Defense: 21.38 + 0.71 x 0.5 = 21.735
Special Type Defense: 35.57 + 3.71 x 0.5 = 37.425
Mixed Type Defense: 28.47 + 2.21 x 0.5 = 29.575 (or we could have again found the average of Physical Type Defense and Special Type Defense)
Interestingly, if you try Dark / Ghost with Wonder Guard, you should get the value 53.33 for all three of Physical, Special and Mixed Type Defenses. Try it out. This number 53.33 is the absolute maximum number that a type combination defense can reach, which corresponds to being immune to all types (as Wonder Guard Spiritomb would be!).
Unsurprisingly, we could also incorporate this Type Defense with the Physical and Special Tankiness in the Base Stats Ratings:
		Code:
	
	Typed Physical Tankiness = (2.5045 * Physical Tankiness) / (53.33 - Physical Type Defense)
Typed Special Tankiness = (2.5045 * Special Tankiness) / (53.33 - Special Type Defense)I’ve yet to do this thoroughly, though, so I’ll just leave you with these formulae for now.
Finally, a small word on Type Offense is in order. I have actually tried to do this as well, before realising that it doesn’t make sense, as I have suspected for a long time. Something that could work, though, is not Type Offense, but Movepool Offense. Basically I combine the movepool and typing of a Pokemon to rate the Pokemon’s movepool and type offense. This could then be combined with Physical and Special Sweepiness, much like the fact that Type Defense can be combined with Tankiness. Having a list of Very Good Moves and Competitive Moves helps a great deal to be able to create such a rating, so I might tackle that in the not-so-distant future.
I told you it was going to be a looooong post. :) I'm sure that I haven't explained everything completely thoroughly, so feel free to ask any questions or... (gasp) point out mistakes!
 
 
		








 
 
		

 
 
		

 
 
		

 
 
		 
 
		 
 
		




 
 
		 
 
		 
 
		 
 
		 
 
		