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Attacking Types in RU [GP 2/2]

Discussion in 'Uploaded Analyses' started by MicfiJasan, Apr 14, 2013.

  1. MicfiJasan

    MicfiJasan

    Joined:
    Nov 15, 2012
    Messages:
    119
    <h2>Introduction</h2>

    <p>We've all heard at some point or another about a Pokémon having a good offensive typing or having moves that provided solid coverage. A few years ago, a user by the name of X-Act published an article in The Smog about attacking types and their effectiveness in the DPP OU, UU, and Uber metagames of the time. For those of you that are interested, you can read the article <a href="/smog/issue3/attacking_types">here</a>. Fascinated by his work, I took it upon myself to apply his research to the RU tier.

    <h2>What X-Act Had Done</h2>

    <p>As with X-Act's research, I started my exploration of attacking types with the damage formula. He had simplified the formula until it contained only the most important factors. Here was the original formula:</p>

    BaseDamage = ((((2*Level)/5 +2)*Base Power*(Sp)Atk)/(Sp)Def)/50 +2

    <p>If we assume that the Pokemon is at level 100, then the formula becomes the following:</p>

    BaseDamage = 42*Base Power*(Sp)Atk/(Sp)Def/50 +2

    <p>That +2 is largely irrelevant and generally interferes with the calculations once modifiers are applied, so it can be removed for simplicity's sake. Since percent damage is used in the formula, we also need to take into account the opponent's HP. Finally, since we're studying types, the type effectiveness must be included as well.</p>

    %Damage=0.84*(Sp)Atk*Base Power*Type Effectiveness/(Opp_(Sp)Def*Opp_HP)

    <p>In the actual damage formula there is a modifier that chooses a random number between 1 and .85 each time a Pokemon attacks. This means that the actual damage done will change by a small amount every time the attack is selected. For the purposes of these calculations, I sided with simplicity and set it to 1. When looking at types themselves, further simplifications had to be made. Namely, it would be assumed that the attacker's Attack stat and Base Power of its moves would be constant for all 17 types, both physical and special. X-Act used 300 Attack and 80 Base Power in his calculations, but I felt that 80 Base Power was too low for this purpose. When looking at single types, it would be safe to assume that a Mono-Attacker would usually be utilizing a STAB move, so I upped the Base Power to 120 to account for that. Also, 299 is the stat of a base 100 Attack stat Pokemon with 252 EVs and a neutral nature (think Jolly/Timid), so I kept the 300 for simplicity. Plugging in these numbers gives the updated formula.</p>

    %Damage=30240*Type_Eff/(Opp_[Sp]Def*Opp_HP)

    <p>Now, since the maximum amount of percent damage done by any single attack is the entire opponent's HP, I put a cap on this formula. This was done by taking the minimum of the percent damage and 1. I did this to prevent types like Fire from being at the top of the list chiefly because they exploited 4x weaknesses (Escavalier, Durant, Snover, etc). Finally, usage needed to be factored into the formula so that hitting common threats like Slowking hard is more important than hitting something like Klinklang hard. The overall average percent came from summing up all the resulting values for each prevalent Pokemon in the metagame. This leads to the final formula.</p>

    Avg_Damage=sum(%Usage*min(30240*Type_Eff/(Opp_[Sp]Def*Opp_HP),1))

    <h2>Changing Things Up</h2>

    <p>The numbers given out by this formula in and of itself were useful. However, I began to notice that Dragon-type attacks were surprisingly low on my initial rankings despite the lack of Steel-types in RU, and that Ground-type attacks, despite the numerous amount of Levitators and Flying-types, were quite high on the list. This made no sense from what I had heard from observing the posts of numerous competent battlers, so I set out to change the formula to make more viable conclusions. Fairly quickly I found that whenever offense was mentioned, it was always relative to how many hits it took to KO the opponent rather than the overall damage given. I had a minor epiphany, as I realized 60% and 90% were both essentially the same output in a 1v1 scenario, both being 2HKOs. However, in the previous formula, doing 90% attack would contribute to a significantly better score than doing 60%. This led to the scores rewarding super effective coverage more than solid neutral coverage. It wasn't hard to change the formula, I just had to take the inverse of the current formula and round up, creating what I am going to call "Clicks to KO" (CKO for short), represented by:</p>

    CKO=ceiling(1/maximum(Avg_Damage,0.1))/Accuracy

    <p>There were a few errors regarding immunities (because they dealt no damage), so I took the maximum of the average damage and 0.1, essentially setting the CKO of immunities and extremely weak hits to 10. I chose 10 as my minimum so types that have one or two Pokemon immune to it aren't automatically the worst attacking types (think Water Absorb). Also, since I am assuming the moves used had 100% accuracy for these calculations, the CKO is essentially the usage-weighted average hits to KO.</p>

    <p>I then summed up the resulting amount (as it was still weighted by usage) and got the CKO for each type on both the physical and special sides. The results can be found below.</p>

    <table class="sortable">
    <thead><tr>
    <th>Rank</th>
    <th>Type</th>
    <th>CKO</th>
    </tr></thead>
    <tbody><tr>
    <td>1</td><td>Special Dragon</td><td>3.072</td>
    </tr><tr class="a">
    <td>2</td><td>Special Dark</td><td>3.117</td>
    </tr><tr>
    <td>3</td><td>Special Flying</td><td>3.161</td>
    </tr><tr class="a">
    <td>4</td><td>Special Rock</td><td>3.165</td>
    </tr><tr>
    <td>5</td><td>Physical Flying</td><td>3.261</td>
    </tr><tr class="a">
    <td>6</td><td>Physical Dragon</td><td>3.311</td>
    </tr><tr>
    <td>7</td><td>Physical Rock</td><td>3.367</td>
    </tr><tr class="a">
    <td>8</td><td>Special Ghost</td><td>3.379</td>
    </tr><tr>
    <td>9</td><td>Physical Dark</td><td>3.379</td>
    </tr><tr class="a">
    <td>10</td><td>Special Ice</td><td>3.468</td>
    </tr><tr>
    <td>11</td><td>Special Bug</td><td>3.485</td>
    </tr><tr class="a">
    <td>12</td><td>Special Water</td><td>3.518</td>
    </tr><tr>
    <td>13</td><td>Special Fire</td><td>3.566</td>
    </tr><tr class="a">
    <td>14</td><td>Physical Ice</td><td>3.573</td>
    </tr><tr>
    <td>15</td><td>Physical Water</td><td>3.595</td>
    </tr><tr class="a">
    <td>16</td><td>Physical Bug</td><td>3.666</td>
    </tr><tr>
    <td>17</td><td>Physical Fire</td><td>3.687</td>
    </tr><tr class="a">
    <td>18</td><td>Physical Ghost</td><td>3.738</td>
    </tr><tr>
    <td>19</td><td>Special Steel</td><td>3.772</td>
    </tr><tr class="a">
    <td>20</td><td>Special Normal</td><td>3.774</td>
    </tr><tr>
    <td>21</td><td>Special Fighting</td><td>3.825</td>
    </tr><tr class="a">
    <td>22</td><td>Special Psychic</td><td>3.878</td>
    </tr><tr>
    <td>23</td><td>Physical Fighting</td><td>3.927</td>
    </tr><tr class="a">
    <td>24</td><td>Special Electric</td><td>3.969</td>
    </tr><tr>
    <td>25</td><td>Special Ground</td><td>3.997</td>
    </tr><tr class="a">
    <td>26</td><td>Physical Normal</td><td>4.001</td>
    </tr><tr>
    <td>27</td><td>Special Grass</td><td>4.017</td>
    </tr><tr class="a">
    <td>28</td><td>Physical Electric</td><td>4.021</td>
    </tr><tr>
    <td>29</td><td>Physical Steel</td><td>4.031</td>
    </tr><tr class="a">
    <td>30</td><td>Special Poison</td><td>4.033</td>
    </tr><tr>
    <td>31</td><td>Physical Poison</td><td>4.037</td>
    </tr><tr class="a">
    <td>32</td><td>Physical Psychic</td><td>4.038</td>
    </tr><tr>
    <td>33</td><td>Physical Grass</td><td>4.124</td>
    </tr><tr class="a">
    <td>34</td><td>Physical Ground</td><td>4.131</td>
    </tr></table>

    <p>As I suspected, Dragon-type moves, having very little to resist them, were at the top of the list and Ground-types, with many Pokemon immune to them, were at the bottom. Does this mean that Earthquake is a bad move? No. This list is assuming a mono-attacking set, so having numerous Pokemon immune to your STAB move is a major downside.</p>

    <h2>Adding Another Move</h2>

    <p>Now that I had single-move coverage figured out, I browsed through the old Pokemetrics forums some more, and came across a thread by Dragontamer. Those that want to read his work can go <a href="/forums/threads/double-type-attack-combos-brute-force-counts.35684/">here</a>. I thought it was fascinating, so I figured that I would apply it to the CKO. Since the original formula summed up the CKOs for each Pokemon, to account for two-move coverage I simply took the minimum CKO between the two types and summed those up. The results for those numbers are here:</p>

    1 Special Fighting Special Ghost 2.387
    2 Special Fire Special Ghost 2.403
    3 Special Dark Special Fighting 2.452
    4 Physical Ground Physical Ice 2.465
    5 Special Ghost Special Ground 2.468
    6 Special Fighting Special Flying 2.471
    7 Physical Fighting Physical Flying 2.479
    8 Physical Fire Physical Ghost 2.491
    9 Special Ground Special Rock 2.496
    10 Physical Fire Physical Ground 2.496
    11 Physical Fighting Physical Ghost 2.502
    12 Special Grass Special Rock 2.511
    13 Special Dark Special Ground 2.515
    14 Physical Flying Physical Grass 2.521
    15 Special Dark Special Fire 2.521
    16 Special Flying Special Grass 2.532
    17 Physical Ghost Physical Ground 2.535
    18 Special Fire Special Ground 2.535
    19 Physical Dark Physical Fighting 2.540
    20 Special Ghost Special Water 2.542
    21 Physical Ground Physical Rock 2.546
    22 Special Ground Special Ice 2.551
    23 Physical Flying Physical Ground 2.552
    24 Physical Dark Physical Ground 2.555
    25 Physical Bug Physical Water 2.561
    26 Physical Flying Physical Water 2.563
    27 Special Fighting Special Rock 2.566
    28 Special Bug Special Water 2.570
    29 Special Fire Special Rock 2.573
    30 Special Ghost Special Rock 2.574
    31 Physical Dark Physical Fire 2.584
    32 Special Flying Special Ground 2.586
    33 Physical Grass Physical Rock 2.588
    34 Physical Fighting Physical Ice 2.604
    35 Special Flying Special Ghost 2.608
    36 Special Dark Special Flying 2.608
    37 Special Flying Special Rock 2.608
    38 Physical Fighting Physical Rock 2.613
    39 Special Flying Special Water 2.618
    40 Special Electric Special Fire 2.622
    41 Physical Electric Physical Fire 2.627
    42 Special Dark Special Water 2.631
    43 Special Ghost Special Ice 2.633
    44 Physical Electric Physical Ice 2.636
    45 Physical Ghost Physical Water 2.636
    46 Special Electric Special Ghost 2.637
    47 Physical Fire Physical Rock 2.639
    48 Special Fighting Special Ice 2.639
    49 Special Ice Special Rock 2.646
    50 Special Bug Special Electric 2.648
    51 Physical Bug Physical Ground 2.651
    52 Special Dragon Special Fire 2.654
    53 Special Electric Special Ice 2.660
    54 Physical Dragon Physical Fire 2.661
    55 Special Bug Special Fighting 2.663
    56 Special Electric Special Fighting 2.663
    57 Physical Fire Physical Grass 2.665
    58 Special Bug Special Ground 2.667
    59 Physical Fighting Physical Fire 2.671
    60 Special Dragon Special Fighting 2.673
    61 Special Rock Special Water 2.674
    62 Physical Bug Physical Fighting 2.676
    63 Special Dark Special Electric 2.702
    64 Physical Dark Physical Water 2.706
    65 Special Bug Special Rock 2.708
    66 Special Electric Special Flying 2.708
    67 Physical Ground Physical Poison 2.710
    68 Special Dragon Special Ground 2.711
    69 Physical Bug Physical Electric 2.713
    70 Special Fighting Special Fire 2.714
    71 Physical Electric Physical Fighting 2.717
    72 Physical Dragon Physical Ground 2.720
    73 Physical Dragon Physical Fighting 2.723
    74 Special Fire Special Grass 2.725
    75 Special Electric Special Psychic 2.734
    76 Special Psychic Special Rock 2.735
    77 Special Bug Special Flying 2.739
    78 Special Bug Special Ghost 2.740
    79 Physical Fire Physical Psychic 2.740
    80 Physical Rock Physical Water 2.740
    81 Special Ground Special Poison 2.741
    82 Special Ground Special Steel 2.741
    83 Special Dark Special Ice 2.752
    84 Physical Ice Physical Rock 2.754
    85 Physical Electric Physical Flying 2.768
    86 Physical Poison Physical Water 2.769
    87 Physical Ground Physical Steel 2.770
    88 Special Ghost Special Steel 2.771
    89 Physical Flying Physical Ghost 2.775
    90 Physical Dark Physical Flying 2.775
    91 Physical Fighting Physical Grass 2.776
    92 Special Poison Special Water 2.776
    93 Special Bug Special Psychic 2.777
    94 Special Grass Special Ice 2.780
    95 Special Fire Special Flying 2.785
    96 Physical Flying Physical Rock 2.787
    97 Special Fire Special Psychic 2.788
    98 Special Dark Special Rock 2.790
    99 Physical Ghost Physical Ice 2.791
    100 Special Dragon Special Electric 2.793
    101 Physical Electric Physical Ghost 2.795
    102 Special Electric Special Rock 2.796
    103 Physical Grass Physical Ice 2.797
    104 Special Flying Special Ice 2.799
    105 Special Dark Special Grass 2.800
    106 Special Dragon Special Water 2.805
    107 Special Electric Special Ground 2.806
    108 Special Fighting Special Grass 2.811
    109 Physical Fire Physical Flying 2.815
    110 Special Fighting Special Water 2.816
    111 Special Dragon Special Rock 2.816
    112 Physical Dragon Physical Water 2.822
    113 Physical Electric Physical Psychic 2.827
    114 Special Dragon Special Flying 2.829
    115 Special Ghost Special Poison 2.830
    116 Physical Dark Physical Electric 2.833
    117 Physical Electric Physical Ground 2.837
    118 Special Normal Special Water 2.839
    119 Physical Fighting Physical Water 2.840
    120 Physical Ghost Physical Rock 2.841
    121 Special Ghost Special Grass 2.841
    122 Special Ground Special Water 2.842
    123 Special Flying Special Psychic 2.846
    124 Special Bug Special Fire 2.847
    125 Special Dragon Special Grass 2.847
    126 Physical Bug Physical Rock 2.848
    127 Physical Ground Physical Psychic 2.848
    128 Special Rock Special Steel 2.852
    129 Special Fire Special Normal 2.852
    130 Special Ground Special Psychic 2.855
    131 Physical Ground Physical Water 2.855
    132 Physical Normal Physical Water 2.856
    133 Special Bug Special Dragon 2.861
    134 Physical Psychic Physical Water 2.863
    135 Special Dragon Special Ghost 2.866
    136 Special Dragon Special Ice 2.867
    137 Special Ghost Special Psychic 2.870
    138 Physical Bug Physical Flying 2.871
    139 Physical Bug Physical Psychic 2.881
    140 Physical Fire Physical Normal 2.881
    141 Special Grass Special Normal 2.881
    142 Physical Fire Physical Water 2.882
    143 Physical Grass Physical Psychic 2.883
    144 Special Grass Special Psychic 2.884
    145 Physical Dark Physical Ice 2.885
    146 Special Dark Special Steel 2.886
    147 Special Fighting Special Poison 2.890
    148 Physical Flying Physical Ice 2.894
    149 Special Dark Special Poison 2.895
    150 Physical Dark Physical Grass 2.895
    151 Special Normal Special Rock 2.896
    152 Physical Bug Physical Fire 2.896
    153 Physical Dragon Physical Grass 2.898
    154 Special Ghost Special Normal 2.900
    155 Physical Ice Physical Water 2.901
    156 Physical Fighting Physical Poison 2.902
    157 Special Fire Special Poison 2.904
    158 Physical Dragon Physical Electric 2.909
    159 Special Ground Special Normal 2.911
    160 Physical Psychic Physical Rock 2.914
    161 Special Flying Special Steel 2.915
    162 Physical Ground Physical Normal 2.919
    163 Special Bug Special Ice 2.921
    164 Special Psychic Special Water 2.925
    165 Physical Electric Physical Rock 2.929
    166 Special Grass Special Poison 2.931
    167 Special Dark Special Dragon 2.931
    168 Physical Grass Physical Normal 2.932
    169 Special Dark Special Psychic 2.935
    170 Special Poison Special Rock 2.936
    171 Special Fire Special Water 2.938
    172 Special Fighting Special Steel 2.940
    173 Special Ice Special Normal 2.941
    174 Physical Grass Physical Ground 2.943
    175 Special Ice Special Water 2.951
    176 Special Electric Special Normal 2.951
    177 Physical Bug Physical Ghost 2.952
    178 Physical Dragon Physical Flying 2.958
    179 Physical Flying Physical Psychic 2.960
    180 Special Bug Special Grass 2.961
    181 Physical Grass Physical Poison 2.962
    182 Physical Ghost Physical Grass 2.963
    183 Physical Dragon Physical Ice 2.964
    184 Physical Fighting Physical Steel 2.965
    185 Special Dark Special Normal 2.965
    186 Special Ice Special Poison 2.968
    187 Special Ice Special Psychic 2.969
    188 Physical Fire Physical Poison 2.971
    189 Special Bug Special Dark 2.977
    190 Physical Flying Physical Steel 2.984
    191 Special Fighting Special Ground 2.986
    192 Special Dark Special Ghost 2.988
    193 Special Grass Special Water 2.992
    194 Physical Bug Physical Grass 2.994
    195 Physical Dark Physical Rock 2.997
    196 Physical Grass Physical Water 2.999
    197 Physical Ghost Physical Steel 3.003
    198 Special Electric Special Steel 3.006
    199 Physical Ice Physical Psychic 3.008
    200 Physical Bug Physical Dragon 3.010
    201 Special Grass Special Ground 3.029
    202 Special Electric Special Poison 3.036
    203 Special Electric Special Water 3.038
    204 Physical Dragon Physical Rock 3.041
    205 Special Dragon Special Steel 3.043
    206 Physical Rock Physical Steel 3.045
    207 Physical Ice Physical Normal 3.051
    208 Special Bug Special Steel 3.052
    209 Special Grass Special Steel 3.053
    210 Physical Bug Physical Ice 3.061
    211 Physical Electric Physical Poison 3.061
    212 Physical Electric Physical Water 3.062
    213 Special Bug Special Normal 3.066
    214 Physical Ghost Physical Poison 3.066
    215 Special Dragon Special Psychic 3.068
    216 Physical Fighting Physical Ground 3.070
    217 Physical Electric Physical Normal 3.074
    218 Special Electric Special Grass 3.083
    219 Physical Fighting Physical Psychic 3.088
    220 Special Dragon Special Poison 3.091
    221 Physical Ice Physical Poison 3.097
    222 Physical Dark Physical Steel 3.099
    223 Special Normal Special Steel 3.102
    224 Physical Ghost Physical Psychic 3.103
    225 Special Bug Special Poison 3.104
    226 Physical Dark Physical Poison 3.104
    227 Special Poison Special Psychic 3.109
    228 Special Flying Special Normal 3.114
    229 Physical Poison Physical Rock 3.119
    230 Special Poison Special Steel 3.119
    231 Special Fighting Special Psychic 3.119
    232 Physical Normal Physical Rock 3.129
    233 Physical Bug Physical Dark 3.130
    234 Physical Dragon Physical Ghost 3.130
    235 Physical Dark Physical Psychic 3.141
    236 Physical Grass Physical Steel 3.142
    237 Special Flying Special Poison 3.143
    238 Special Psychic Special Steel 3.146
    239 Special Fighting Special Normal 3.150
    240 Physical Electric Physical Grass 3.157
    241 Physical Ghost Physical Normal 3.164
    242 Physical Electric Physical Steel 3.165
    243 Physical Dark Physical Dragon 3.168
    244 Special Fire Special Ice 3.182
    245 Special Dragon Special Normal 3.186
    246 Special Steel Special Water 3.190
    247 Physical Bug Physical Steel 3.199
    248 Physical Dragon Physical Steel 3.200
    249 Physical Fire Physical Ice 3.201
    250 Physical Bug Physical Normal 3.201
    251 Physical Dark Physical Normal 3.202
    252 Physical Flying Physical Normal 3.203
    253 Physical Steel Physical Water 3.214
    254 Physical Fighting Physical Normal 3.215
    255 Special Fire Special Steel 3.215
    256 Physical Dragon Physical Psychic 3.222
    257 Physical Psychic Physical Steel 3.226
    258 Physical Flying Physical Poison 3.232
    259 Physical Fire Physical Steel 3.233
    260 Physical Poison Physical Psychic 3.235
    261 Physical Dragon Physical Poison 3.250
    262 Physical Bug Physical Poison 3.254
    263 Physical Normal Physical Steel 3.258
    264 Physical Dark Physical Ghost 3.267
    265 Physical Poison Physical Steel 3.274
    266 Special Normal Special Psychic 3.282
    267 Special Ice Special Steel 3.302
    268 Physical Ice Physical Steel 3.377
    269 Physical Dragon Physical Normal 3.385
    270 Physical Normal Physical Psychic 3.436
    271 Special Normal Special Poison 3.610
    272 Physical Normal Physical Poison 3.727

    <p>As you can see, the combination of specially based Ghost and Fighting attacks, known for being unresisted against all current Pokemon, is the best theoretical STAB combination in this metagame. Interestingly, the Ghost and Fire STAB combination is close behind, despite both types being resisted by Crawdaunt, a decently common Pokemon in RU. This implies that the super effective coverage provided by these types is enough to offset that one Pokemon. Another interesting note is the numbers here are generally less than the numbers in the previous table, which makes sense, since two-move coverage is always better than one-move coverage.</p>

    <p>Finally, I wanted to incorporate the possibility of having one STAB move with a non-STAB coverage move. It is logical to assume that a hypothetical Normal / Poison type would be better off with a coverage move over one of their STABs, and it also accounts for two-move coverage on monotype Pokemon like Uxie, Lilligant, and Cryogonal. The method for this value is almost the same as for two STABs, except the non-STAB type has its damage multiplied by 2/3.</p>

    49 STAB Physical Bug Physical Water 2.949
    97 STAB Physical Bug Physical Ground 3.038
    181 STAB Physical Bug Physical Rock 3.130
    194 STAB Physical Bug Physical Electric 3.140
    227 STAB Physical Bug Physical Fighting 3.179
    229 STAB Physical Bug Physical Psychic 3.181
    257 STAB Physical Bug Physical Flying 3.205
    285 STAB Physical Bug Physical Fire 3.243
    335 STAB Physical Bug Physical Ghost 3.300
    396 STAB Physical Bug Physical Dragon 3.375
    409 STAB Physical Bug Physical Grass 3.390
    416 STAB Physical Bug Physical Dark 3.403
    417 STAB Physical Bug Physical Ice 3.403
    446 STAB Physical Bug Physical Normal 3.448
    458 STAB Physical Bug Physical Poison 3.467
    461 STAB Physical Bug Physical Steel 3.471
    40 STAB Physical Dark Physical Fire 2.934
    43 STAB Physical Dark Physical Fighting 2.938
    54 STAB Physical Dark Physical Ground 2.965
    133 STAB Physical Dark Physical Water 3.080
    135 STAB Physical Dark Physical Flying 3.081
    221 STAB Physical Dark Physical Electric 3.176
    230 STAB Physical Dark Physical Grass 3.182
    278 STAB Physical Dark Physical Psychic 3.231
    286 STAB Physical Dark Physical Ice 3.243
    293 STAB Physical Dark Physical Rock 3.249
    317 STAB Physical Dark Physical Bug 3.275
    339 STAB Physical Dark Physical Poison 3.305
    341 STAB Physical Dark Physical Steel 3.307
    381 STAB Physical Dark Physical Normal 3.354
    382 STAB Physical Dark Physical Dragon 3.354
    392 STAB Physical Dark Physical Ghost 3.372
    31 STAB Physical Dragon Physical Fire 2.917
    78 STAB Physical Dragon Physical Fighting 3.004
    88 STAB Physical Dragon Physical Ground 3.022
    155 STAB Physical Dragon Physical Water 3.101
    211 STAB Physical Dragon Physical Grass 3.165
    252 STAB Physical Dragon Physical Flying 3.199
    260 STAB Physical Dragon Physical Electric 3.209
    272 STAB Physical Dragon Physical Bug 3.223
    284 STAB Physical Dragon Physical Ice 3.237
    290 STAB Physical Dragon Physical Rock 3.247
    336 STAB Physical Dragon Physical Ghost 3.300
    337 STAB Physical Dragon Physical Steel 3.301
    345 STAB Physical Dragon Physical Psychic 3.312
    350 STAB Physical Dragon Physical Poison 3.318
    353 STAB Physical Dragon Physical Dark 3.319
    404 STAB Physical Dragon Physical Normal 3.385
    87 STAB Physical Electric Physical Fire 3.015
    99 STAB Physical Electric Physical Ice 3.040
    228 STAB Physical Electric Physical Bug 3.180
    261 STAB Physical Electric Physical Fighting 3.209
    275 STAB Physical Electric Physical Flying 3.227
    303 STAB Physical Electric Physical Ground 3.256
    318 STAB Physical Electric Physical Psychic 3.277
    344 STAB Physical Electric Physical Ghost 3.310
    358 STAB Physical Electric Physical Dark 3.329
    359 STAB Physical Electric Physical Dragon 3.330
    386 STAB Physical Electric Physical Poison 3.360
    401 STAB Physical Electric Physical Grass 3.382
    421 STAB Physical Electric Physical Rock 3.410
    436 STAB Physical Electric Physical Water 3.440
    454 STAB Physical Electric Physical Normal 3.460
    511 STAB Physical Electric Physical Steel 3.590
    17 STAB Physical Fighting Physical Ghost 2.872
    38 STAB Physical Fighting Physical Dark 2.929
    93 STAB Physical Fighting Physical Flying 3.029
    117 STAB Physical Fighting Physical Fire 3.064
    136 STAB Physical Fighting Physical Ice 3.083
    167 STAB Physical Fighting Physical Rock 3.117
    169 STAB Physical Fighting Physical Electric 3.118
    212 STAB Physical Fighting Physical Bug 3.168
    276 STAB Physical Fighting Physical Grass 3.229
    300 STAB Physical Fighting Physical Dragon 3.254
    320 STAB Physical Fighting Physical Water 3.278
    373 STAB Physical Fighting Physical Steel 3.342
    413 STAB Physical Fighting Physical Psychic 3.395
    467 STAB Physical Fighting Physical Ground 3.476
    475 STAB Physical Fighting Physical Poison 3.494
    520 STAB Physical Fighting Physical Normal 3.623
    39 STAB Physical Fire Physical Grass 2.933
    46 STAB Physical Fire Physical Ground 2.946
    51 STAB Physical Fire Physical Electric 2.952
    147 STAB Physical Fire Physical Rock 3.096
    150 STAB Physical Fire Physical Ghost 3.099
    175 STAB Physical Fire Physical Fighting 3.124
    196 STAB Physical Fire Physical Dark 3.143
    207 STAB Physical Fire Physical Water 3.160
    226 STAB Physical Fire Physical Psychic 3.178
    249 STAB Physical Fire Physical Dragon 3.196
    291 STAB Physical Fire Physical Bug 3.248
    378 STAB Physical Fire Physical Flying 3.349
    422 STAB Physical Fire Physical Steel 3.411
    423 STAB Physical Fire Physical Normal 3.419
    452 STAB Physical Fire Physical Poison 3.456
    463 STAB Physical Fire Physical Ice 3.473
    4 STAB Physical Flying Physical Ground 2.777
    7 STAB Physical Flying Physical Fighting 2.802
    25 STAB Physical Flying Physical Grass 2.889
    27 STAB Physical Flying Physical Water 2.892
    82 STAB Physical Flying Physical Fire 3.010
    101 STAB Physical Flying Physical Electric 3.040
    149 STAB Physical Flying Physical Rock 3.096
    184 STAB Physical Flying Physical Dark 3.133
    185 STAB Physical Flying Physical Ghost 3.133
    192 STAB Physical Flying Physical Steel 3.139
    209 STAB Physical Flying Physical Ice 3.163
    215 STAB Physical Flying Physical Bug 3.170
    248 STAB Physical Flying Physical Psychic 3.196
    264 STAB Physical Flying Physical Dragon 3.212
    333 STAB Physical Flying Physical Normal 3.298
    334 STAB Physical Flying Physical Poison 3.300
    9 STAB Physical Ghost Physical Fighting 2.818
    30 STAB Physical Ghost Physical Fire 2.912
    66 STAB Physical Ghost Physical Ground 2.977
    120 STAB Physical Ghost Physical Water 3.066
    216 STAB Physical Ghost Physical Flying 3.171
    222 STAB Physical Ghost Physical Electric 3.177
    233 STAB Physical Ghost Physical Rock 3.184
    262 STAB Physical Ghost Physical Bug 3.210
    269 STAB Physical Ghost Physical Ice 3.216
    314 STAB Physical Ghost Physical Steel 3.267
    324 STAB Physical Ghost Physical Grass 3.282
    325 STAB Physical Ghost Physical Poison 3.290
    338 STAB Physical Ghost Physical Psychic 3.302
    369 STAB Physical Ghost Physical Normal 3.339
    370 STAB Physical Ghost Physical Dragon 3.339
    397 STAB Physical Ghost Physical Dark 3.376
    83 STAB Physical Grass Physical Fire 3.011
    103 STAB Physical Grass Physical Flying 3.043
    141 STAB Physical Grass Physical Rock 3.088
    251 STAB Physical Grass Physical Ice 3.198
    361 STAB Physical Grass Physical Ground 3.332
    405 STAB Physical Grass Physical Poison 3.386
    411 STAB Physical Grass Physical Fighting 3.394
    427 STAB Physical Grass Physical Psychic 3.424
    444 STAB Physical Grass Physical Water 3.445
    464 STAB Physical Grass Physical Dragon 3.473
    478 STAB Physical Grass Physical Bug 3.499
    482 STAB Physical Grass Physical Dark 3.508
    487 STAB Physical Grass Physical Normal 3.524
    489 STAB Physical Grass Physical Electric 3.526
    504 STAB Physical Grass Physical Ghost 3.577
    523 STAB Physical Grass Physical Steel 3.645
    18 STAB Physical Ground Physical Ice 2.872
    20 STAB Physical Ground Physical Rock 2.883
    28 STAB Physical Ground Physical Fire 2.910
    57 STAB Physical Ground Physical Ghost 2.967
    62 STAB Physical Ground Physical Dark 2.972
    79 STAB Physical Ground Physical Flying 3.005
    105 STAB Physical Ground Physical Bug 3.046
    129 STAB Physical Ground Physical Poison 3.077
    197 STAB Physical Ground Physical Dragon 3.144
    239 STAB Physical Ground Physical Water 3.188
    242 STAB Physical Ground Physical Electric 3.190
    244 STAB Physical Ground Physical Steel 3.193
    322 STAB Physical Ground Physical Psychic 3.281
    360 STAB Physical Ground Physical Normal 3.330
    395 STAB Physical Ground Physical Grass 3.374
    450 STAB Physical Ground Physical Fighting 3.454
    35 STAB Physical Ice Physical Ground 2.925
    94 STAB Physical Ice Physical Electric 3.031
    116 STAB Physical Ice Physical Grass 3.062
    124 STAB Physical Ice Physical Fighting 3.072
    254 STAB Physical Ice Physical Rock 3.202
    283 STAB Physical Ice Physical Water 3.235
    296 STAB Physical Ice Physical Ghost 3.250
    330 STAB Physical Ice Physical Dark 3.294
    354 STAB Physical Ice Physical Flying 3.322
    357 STAB Physical Ice Physical Psychic 3.329
    384 STAB Physical Ice Physical Bug 3.354
    388 STAB Physical Ice Physical Fire 3.366
    414 STAB Physical Ice Physical Dragon 3.398
    429 STAB Physical Ice Physical Normal 3.430
    443 STAB Physical Ice Physical Poison 3.445
    492 STAB Physical Ice Physical Steel 3.536
    289 STAB Physical Normal Physical Fire 3.246
    311 STAB Physical Normal Physical Water 3.263
    352 STAB Physical Normal Physical Ground 3.319
    355 STAB Physical Normal Physical Grass 3.325
    449 STAB Physical Normal Physical Ice 3.452
    469 STAB Physical Normal Physical Electric 3.480
    474 STAB Physical Normal Physical Rock 3.490
    481 STAB Physical Normal Physical Ghost 3.506
    486 STAB Physical Normal Physical Steel 3.517
    488 STAB Physical Normal Physical Dark 3.525
    496 STAB Physical Normal Physical Fighting 3.549
    499 STAB Physical Normal Physical Flying 3.565
    522 STAB Physical Normal Physical Dragon 3.641
    525 STAB Physical Normal Physical Bug 3.648
    533 STAB Physical Normal Physical Psychic 3.709
    543 STAB Physical Normal Physical Poison 3.946
    232 STAB Physical Poison Physical Ground 3.183
    280 STAB Physical Poison Physical Water 3.232
    349 STAB Physical Poison Physical Fighting 3.317
    368 STAB Physical Poison Physical Fire 3.338
    455 STAB Physical Poison Physical Grass 3.460
    484 STAB Physical Poison Physical Electric 3.512
    514 STAB Physical Poison Physical Rock 3.601
    516 STAB Physical Poison Physical Ice 3.613
    526 STAB Physical Poison Physical Flying 3.655
    527 STAB Physical Poison Physical Ghost 3.659
    529 STAB Physical Poison Physical Steel 3.677
    530 STAB Physical Poison Physical Dark 3.678
    536 STAB Physical Poison Physical Psychic 3.725
    538 STAB Physical Poison Physical Dragon 3.776
    539 STAB Physical Poison Physical Bug 3.788
    544 STAB Physical Poison Physical Normal 3.997
    246 STAB Physical Psychic Physical Bug 3.195
    259 STAB Physical Psychic Physical Fire 3.208
    316 STAB Physical Psychic Physical Electric 3.270
    329 STAB Physical Psychic Physical Ground 3.293
    376 STAB Physical Psychic Physical Grass 3.344
    393 STAB Physical Psychic Physical Water 3.373
    408 STAB Physical Psychic Physical Rock 3.389
    415 STAB Physical Psychic Physical Fighting 3.401
    428 STAB Physical Psychic Physical Ghost 3.426
    438 STAB Physical Psychic Physical Flying 3.440
    445 STAB Physical Psychic Physical Dark 3.445
    471 STAB Physical Psychic Physical Ice 3.484
    500 STAB Physical Psychic Physical Steel 3.566
    502 STAB Physical Psychic Physical Dragon 3.570
    528 STAB Physical Psychic Physical Poison 3.674
    534 STAB Physical Psychic Physical Normal 3.711
    45 STAB Physical Rock Physical Grass 2.945
    47 STAB Physical Rock Physical Ground 2.948
    61 STAB Physical Rock Physical Fighting 2.972
    72 STAB Physical Rock Physical Fire 2.983
    75 STAB Physical Rock Physical Water 2.995
    104 STAB Physical Rock Physical Flying 3.044
    160 STAB Physical Rock Physical Ice 3.107
    198 STAB Physical Rock Physical Psychic 3.148
    201 STAB Physical Rock Physical Ghost 3.154
    237 STAB Physical Rock Physical Bug 3.186
    258 STAB Physical Rock Physical Electric 3.207
    294 STAB Physical Rock Physical Steel 3.249
    304 STAB Physical Rock Physical Dark 3.257
    327 STAB Physical Rock Physical Poison 3.293
    328 STAB Physical Rock Physical Dragon 3.293
    340 STAB Physical Rock Physical Normal 3.307
    313 STAB Physical Steel Physical Ground 3.265
    465 STAB Physical Steel Physical Fighting 3.474
    468 STAB Physical Steel Physical Grass 3.480
    485 STAB Physical Steel Physical Rock 3.515
    491 STAB Physical Steel Physical Fire 3.530
    493 STAB Physical Steel Physical Ghost 3.545
    495 STAB Physical Steel Physical Electric 3.549
    508 STAB Physical Steel Physical Bug 3.584
    510 STAB Physical Steel Physical Dark 3.590
    513 STAB Physical Steel Physical Water 3.599
    517 STAB Physical Steel Physical Flying 3.617
    521 STAB Physical Steel Physical Psychic 3.635
    531 STAB Physical Steel Physical Poison 3.695
    535 STAB Physical Steel Physical Dragon 3.718
    537 STAB Physical Steel Physical Normal 3.730
    541 STAB Physical Steel Physical Ice 3.856
    50 STAB Physical Water Physical Bug 2.951
    77 STAB Physical Water Physical Flying 2.999
    128 STAB Physical Water Physical Fire 3.077
    165 STAB Physical Water Physical Ice 3.113
    179 STAB Physical Water Physical Poison 3.125
    199 STAB Physical Water Physical Ghost 3.152
    210 STAB Physical Water Physical Grass 3.163
    243 STAB Physical Water Physical Dark 3.191
    253 STAB Physical Water Physical Psychic 3.201
    287 STAB Physical Water Physical Electric 3.245
    305 STAB Physical Water Physical Rock 3.258
    309 STAB Physical Water Physical Dragon 3.261
    321 STAB Physical Water Physical Ground 3.280
    331 STAB Physical Water Physical Fighting 3.295
    346 STAB Physical Water Physical Normal 3.312
    448 STAB Physical Water Physical Steel 3.452
    41 STAB Special Bug Special Water 2.936
    86 STAB Special Bug Special Rock 3.013
    92 STAB Special Bug Special Ground 3.029
    114 STAB Special Bug Special Electric 3.060
    163 STAB Special Bug Special Flying 3.112
    168 STAB Special Bug Special Psychic 3.118
    173 STAB Special Bug Special Ghost 3.120
    213 STAB Special Bug Special Fighting 3.169
    255 STAB Special Bug Special Fire 3.205
    298 STAB Special Bug Special Dragon 3.252
    302 STAB Special Bug Special Ice 3.255
    306 STAB Special Bug Special Dark 3.258
    332 STAB Special Bug Special Grass 3.296
    362 STAB Special Bug Special Normal 3.333
    374 STAB Special Bug Special Steel 3.342
    380 STAB Special Bug Special Poison 3.351
    11 STAB Special Dark Special Fighting 2.843
    14 STAB Special Dark Special Fire 2.857
    24 STAB Special Dark Special Ground 2.887
    37 STAB Special Dark Special Flying 2.927
    68 STAB Special Dark Special Water 2.979
    80 STAB Special Dark Special Electric 3.005
    91 STAB Special Dark Special Grass 3.028
    102 STAB Special Dark Special Psychic 3.042
    122 STAB Special Dark Special Ice 3.071
    130 STAB Special Dark Special Rock 3.078
    159 STAB Special Dark Special Steel 3.106
    164 STAB Special Dark Special Poison 3.112
    166 STAB Special Dark Special Bug 3.116
    176 STAB Special Dark Special Ghost 3.125
    190 STAB Special Dark Special Normal 3.138
    191 STAB Special Dark Special Dragon 3.138
    19 STAB Special Dragon Special Fire 2.874
    36 STAB Special Dragon Special Fighting 2.926
    53 STAB Special Dragon Special Ground 2.964
    95 STAB Special Dragon Special Water 3.034
    107 STAB Special Dragon Special Electric 3.050
    110 STAB Special Dragon Special Rock 3.054
    111 STAB Special Dragon Special Grass 3.057
    115 STAB Special Dragon Special Ghost 3.061
    126 STAB Special Dragon Special Bug 3.075
    134 STAB Special Dragon Special Flying 3.080
    138 STAB Special Dragon Special Ice 3.083
    143 STAB Special Dragon Special Dark 3.093
    188 STAB Special Dragon Special Steel 3.135
    203 STAB Special Dragon Special Poison 3.154
    219 STAB Special Dragon Special Psychic 3.174
    235 STAB Special Dragon Special Normal 3.186
    73 STAB Special Electric Special Fire 2.984
    74 STAB Special Electric Special Ice 2.987
    148 STAB Special Electric Special Bug 3.096
    153 STAB Special Electric Special Fighting 3.100
    180 STAB Special Electric Special Ghost 3.130
    208 STAB Special Electric Special Dark 3.163
    214 STAB Special Electric Special Ground 3.169
    241 STAB Special Electric Special Dragon 3.190
    247 STAB Special Electric Special Psychic 3.195
    271 STAB Special Electric Special Flying 3.218
    299 STAB Special Electric Special Grass 3.254
    377 STAB Special Electric Special Normal 3.348
    379 STAB Special Electric Special Rock 3.349
    385 STAB Special Electric Special Poison 3.359
    387 STAB Special Electric Special Water 3.365
    430 STAB Special Electric Special Steel 3.430
    2 STAB Special Fighting Special Ghost 2.757
    13 STAB Special Fighting Special Dark 2.854
    109 STAB Special Fighting Special Flying 3.053
    131 STAB Special Fighting Special Rock 3.078
    146 STAB Special Fighting Special Electric 3.095
    170 STAB Special Fighting Special Ice 3.118
    182 STAB Special Fighting Special Fire 3.132
    217 STAB Special Fighting Special Bug 3.172
    282 STAB Special Fighting Special Dragon 3.234
    301 STAB Special Fighting Special Grass 3.255
    323 STAB Special Fighting Special Water 3.282
    365 STAB Special Fighting Special Steel 3.337
    453 STAB Special Fighting Special Ground 3.457
    473 STAB Special Fighting Special Psychic 3.488
    477 STAB Special Fighting Special Poison 3.497
    505 STAB Special Fighting Special Normal 3.580
    55 STAB Special Fire Special Electric 2.966
    63 STAB Special Fire Special Ground 2.973
    64 STAB Special Fire Special Grass 2.974
    76 STAB Special Fire Special Ghost 2.996
    100 STAB Special Fire Special Rock 3.040
    112 STAB Special Fire Special Dark 3.058
    205 STAB Special Fire Special Fighting 3.159
    220 STAB Special Fire Special Water 3.175
    224 STAB Special Fire Special Bug 3.178
    225 STAB Special Fire Special Dragon 3.178
    273 STAB Special Fire Special Psychic 3.225
    375 STAB Special Fire Special Flying 3.343
    391 STAB Special Fire Special Steel 3.368
    403 STAB Special Fire Special Normal 3.385
    418 STAB Special Fire Special Ice 3.405
    419 STAB Special Fire Special Poison 3.406
    3 STAB Special Flying Special Ground 2.768
    5 STAB Special Flying Special Fighting 2.778
    10 STAB Special Flying Special Grass 2.843
    21 STAB Special Flying Special Water 2.883
    44 STAB Special Flying Special Electric 2.943
    56 STAB Special Flying Special Fire 2.966
    58 STAB Special Flying Special Rock 2.968
    70 STAB Special Flying Special Dark 2.982
    71 STAB Special Flying Special Ghost 2.982
    98 STAB Special Flying Special Steel 3.039
    113 STAB Special Flying Special Ice 3.058
    118 STAB Special Flying Special Bug 3.065
    132 STAB Special Flying Special Psychic 3.079
    140 STAB Special Flying Special Dragon 3.087
    266 STAB Special Flying Special Normal 3.213
    279 STAB Special Flying Special Poison 3.231
    1 STAB Special Ghost Special Fighting 2.678
    6 STAB Special Ghost Special Fire 2.798
    22 STAB Special Ghost Special Ground 2.883
    48 STAB Special Ghost Special Water 2.949
    60 STAB Special Ghost Special Rock 2.970
    65 STAB Special Ghost Special Electric 2.976
    81 STAB Special Ghost Special Ice 3.009
    85 STAB Special Ghost Special Bug 3.013
    90 STAB Special Ghost Special Flying 3.027
    106 STAB Special Ghost Special Steel 3.050
    127 STAB Special Ghost Special Poison 3.075
    151 STAB Special Ghost Special Normal 3.100
    152 STAB Special Ghost Special Dragon 3.100
    156 STAB Special Ghost Special Grass 3.104
    161 STAB Special Ghost Special Psychic 3.108
    172 STAB Special Ghost Special Dark 3.120
    96 STAB Special Grass Special Rock 3.035
    123 STAB Special Grass Special Fire 3.071
    162 STAB Special Grass Special Flying 3.109
    206 STAB Special Grass Special Ice 3.159
    400 STAB Special Grass Special Poison 3.380
    402 STAB Special Grass Special Ground 3.383
    410 STAB Special Grass Special Dark 3.393
    433 STAB Special Grass Special Dragon 3.433
    435 STAB Special Grass Special Bug 3.435
    439 STAB Special Grass Special Fighting 3.442
    442 STAB Special Grass Special Psychic 3.445
    451 STAB Special Grass Special Ghost 3.455
    460 STAB Special Grass Special Water 3.469
    470 STAB Special Grass Special Normal 3.484
    480 STAB Special Grass Special Electric 3.504
    494 STAB Special Grass Special Steel 3.548
    8 STAB Special Ground Special Rock 2.813
    29 STAB Special Ground Special Ice 2.911
    32 STAB Special Ground Special Ghost 2.918
    42 STAB Special Ground Special Dark 2.936
    52 STAB Special Ground Special Fire 2.958
    145 STAB Special Ground Special Flying 3.095
    178 STAB Special Ground Special Bug 3.125
    183 STAB Special Ground Special Poison 3.133
    193 STAB Special Ground Special Dragon 3.140
    200 STAB Special Ground Special Steel 3.152
    218 STAB Special Ground Special Electric 3.173
    234 STAB Special Ground Special Water 3.185
    356 STAB Special Ground Special Normal 3.326
    399 STAB Special Ground Special Psychic 3.379
    432 STAB Special Ground Special Fighting 3.433
    466 STAB Special Ground Special Grass 3.474
    69 STAB Special Ice Special Ground 2.982
    108 STAB Special Ice Special Grass 3.052
    119 STAB Special Ice Special Electric 3.066
    154 STAB Special Ice Special Fighting 3.101
    171 STAB Special Ice Special Rock 3.119
    177 STAB Special Ice Special Ghost 3.125
    238 STAB Special Ice Special Dark 3.187
    288 STAB Special Ice Special Bug 3.246
    315 STAB Special Ice Special Water 3.269
    342 STAB Special Ice Special Flying 3.308
    351 STAB Special Ice Special Fire 3.318
    364 STAB Special Ice Special Psychic 3.336
    371 STAB Special Ice Special Dragon 3.339
    398 STAB Special Ice Special Normal 3.376
    412 STAB Special Ice Special Poison 3.395
    440 STAB Special Ice Special Steel 3.443
    231 STAB Special Normal Special Fire 3.183
    236 STAB Special Normal Special Water 3.186
    270 STAB Special Normal Special Grass 3.218
    307 STAB Special Normal Special Ghost 3.260
    308 STAB Special Normal Special Ground 3.261
    326 STAB Special Normal Special Dark 3.292
    343 STAB Special Normal Special Rock 3.309
    347 STAB Special Normal Special Electric 3.315
    348 STAB Special Normal Special Ice 3.316
    372 STAB Special Normal Special Steel 3.340
    441 STAB Special Normal Special Dragon 3.443
    447 STAB Special Normal Special Fighting 3.449
    472 STAB Special Normal Special Flying 3.488
    476 STAB Special Normal Special Bug 3.494
    503 STAB Special Normal Special Psychic 3.573
    540 STAB Special Normal Special Poison 3.809
    186 STAB Special Poison Special Ground 3.134
    250 STAB Special Poison Special Water 3.197
    281 STAB Special Poison Special Fighting 3.234
    292 STAB Special Poison Special Fire 3.249
    390 STAB Special Poison Special Grass 3.368
    431 STAB Special Poison Special Ghost 3.430
    434 STAB Special Poison Special Ice 3.434
    456 STAB Special Poison Special Electric 3.462
    457 STAB Special Poison Special Dark 3.463
    479 STAB Special Poison Special Rock 3.502
    490 STAB Special Poison Special Steel 3.527
    515 STAB Special Poison Special Dragon 3.607
    518 STAB Special Poison Special Bug 3.618
    519 STAB Special Poison Special Psychic 3.622
    524 STAB Special Poison Special Flying 3.647
    542 STAB Special Poison Special Normal 3.925
    158 STAB Special Psychic Special Bug 3.106
    187 STAB Special Psychic Special Electric 3.134
    245 STAB Special Psychic Special Ghost 3.195
    265 STAB Special Psychic Special Fire 3.212
    274 STAB Special Psychic Special Dark 3.227
    295 STAB Special Psychic Special Rock 3.250
    312 STAB Special Psychic Special Grass 3.264
    319 STAB Special Psychic Special Ground 3.278
    367 STAB Special Psychic Special Flying 3.338
    389 STAB Special Psychic Special Ice 3.366
    394 STAB Special Psychic Special Water 3.374
    420 STAB Special Psychic Special Fighting 3.409
    437 STAB Special Psychic Special Dragon 3.440
    462 STAB Special Psychic Special Steel 3.471
    498 STAB Special Psychic Special Poison 3.562
    506 STAB Special Psychic Special Normal 3.582
    12 STAB Special Rock Special Ground 2.846
    15 STAB Special Rock Special Grass 2.858
    16 STAB Special Rock Special Fighting 2.861
    23 STAB Special Rock Special Fire 2.884
    26 STAB Special Rock Special Flying 2.890
    33 STAB Special Rock Special Water 2.918
    34 STAB Special Rock Special Ghost 2.920
    67 STAB Special Rock Special Ice 2.978
    84 STAB Special Rock Special Psychic 3.011
    121 STAB Special Rock Special Bug 3.066
    137 STAB Special Rock Special Electric 3.083
    139 STAB Special Rock Special Dark 3.084
    142 STAB Special Rock Special Steel 3.093
    157 STAB Special Rock Special Dragon 3.105
    174 STAB Special Rock Special Normal 3.123
    195 STAB Special Rock Special Poison 3.141
    240 STAB Special Steel Special Ground 3.189
    363 STAB Special Steel Special Ghost 3.335
    366 STAB Special Steel Special Grass 3.337
    383 STAB Special Steel Special Rock 3.354
    406 STAB Special Steel Special Dark 3.387
    407 STAB Special Steel Special Electric 3.389
    424 STAB Special Steel Special Bug 3.420
    426 STAB Special Steel Special Fighting 3.423
    459 STAB Special Steel Special Fire 3.468
    483 STAB Special Steel Special Water 3.508
    497 STAB Special Steel Special Flying 3.554
    501 STAB Special Steel Special Poison 3.568
    507 STAB Special Steel Special Dragon 3.582
    509 STAB Special Steel Special Psychic 3.588
    512 STAB Special Steel Special Normal 3.594
    532 STAB Special Steel Special Ice 3.699
    59 STAB Special Water Special Bug 2.968
    89 STAB Special Water Special Ghost 3.026
    125 STAB Special Water Special Flying 3.075
    144 STAB Special Water Special Dark 3.094
    189 STAB Special Water Special Poison 3.136
    202 STAB Special Water Special Fire 3.154
    204 STAB Special Water Special Grass 3.158
    223 STAB Special Water Special Ice 3.177
    256 STAB Special Water Special Rock 3.205
    263 STAB Special Water Special Dragon 3.212
    267 STAB Special Water Special Ground 3.215
    268 STAB Special Water Special Electric 3.215
    277 STAB Special Water Special Fighting 3.230
    297 STAB Special Water Special Psychic 3.252
    310 STAB Special Water Special Normal 3.262
    425 STAB Special Water Special Steel 3.421

    <p>This is arguably the most useful out of the three tables, as it now allows you to make certain choices given an attacker's movepool. The most obvious example of this is deciding on a Hidden Power type for Pokemon like Lilligant who use it as their only coverage move. Pokemon Showdown! automatically sets the Base Power of Hidden Power to 70, which is close to the 80 that is used in the calculation, so we can assume that the relative ranking of the CKOs will not change within a type group. Using the Lilligant example, we scroll down until we see STAB Special Grass, and the type listed in the other column is the best Hidden Power type, in this case, Hidden Power Rock.</p>

    <p>One last note: Since these scores are based on usage statistics, they will change as the new statistics come out each month.</p>
    Last edited by a moderator: Jul 21, 2014
  2. inanimate blob

    inanimate blob

    Joined:
    May 31, 2011
    Messages:
    1,453
    This is an amazing amount of compiled data. Definitely looks like you did both your research and homework regarding this.

    All in all, these statistics really show some awesome potential ideas for STAB coverage moves.

    One thing to consider, though - have you checked how the defenses of these typings also influence how well a STAB can perform? Or at least the potential Stealth Rocks or Spikes or something.

    That's a lot more data and may be more suitable to another letter, but it would be pretty impressive to have an article showing both all of the positives of STABs regarding attacks and all the negative factors of having a certain type. It could really display why Pokemon in almost every tier are either used or not used (besides the other factors, of course). In fact, having both the offensive and defensive sides of this could show what is really the best typing, in theory. I can already tell here it would be Ghost/Fighting, but if there was a relationship between that and defensive typings (which that might still be the case - immunities, SR resistant and whatnot) that would probably be some of the most important research on Smogon.
  3. MicfiJasan

    MicfiJasan

    Joined:
    Nov 15, 2012
    Messages:
    119
    First, I reorganized the last "table" so that all the STAB types were grouped together, making it easier to locate the best/worst coverage options.

    Defensive typing does seem like the next step, but yeah that would probably require a separate letter. In order to calculate the values for this letter, I needed two things: a typical HP stat of each Pokemon in RU, and the appropriate defensive stat. To calculate the defensive value of a typing, the two things I need are: a typical attacking stat, and a relevant moveset. The moveset is the real problem because each move has its own type, base power, accuracy, and physical/special category that I need to account for. The fact that I need to do this individually for each move (unless I figure out some way to do it easier) means making that list will take more time. In addition, by the time I get that information, I would have enough information to do straight RU vs. RU calculations, which seems more appealing to me. If I do decide to do theoretical defensive typing, I would probably focus on OU in anticipation for XY.

    You did bring up an interesting point about Stealth Rock, though, since I know people like to include Stealth Rock into their damage calculations. I ultimately decided against it here due to how well regarded the RU spinners are. Also, when studying a tier where one of the biggest threats is Moltres, it doesn't feel right to make calculations assuming it'll always be at 50% when attacked. That said, if people want me to include it, I think I can make it work.

    Finally, opening this up for QC, because I prefer knowing exactly what I have to change, otherwise I know I'll end up changing something that was fine as it was. I do know that the tables probably aren't up to snuff at the moment, but I really have no idea how the formatting for them works, so I'll see what help I can get.
  4. MicfiJasan

    MicfiJasan

    Joined:
    Nov 15, 2012
    Messages:
    119
    Updated with the new tier shift. Added the <p> tags because I'm pretty sure those are needed in the final product. Still my first letter, so I'm still learning the formatting.

    Now that the tables aren't in hide tags, my last two tables, specifically the last one, are really big. I'm thinking about cutting some of the data out of that one, since that will likely be a lot of scrolling in a web page. Formatting is still horrible, from other threads it appears HTML is needed, which I don't really know all that well. I'll see if I can get the others to work.

    Again, help/criticism would be greatly appreciated.

    EDIT: Found the "HTML 101" article and it helped quite a bit. I'm not sure what to use for the equations. X-Act's original article looked a little bit different than the normal text, but I'm not entirely sure what the HTML formatting was for that. Also I tried formatting the first table, let me know if it's right so I can work on the other two. Also, adding those in will be a lot of work, so please let me know the best way to maybe cut the tables down a bit.
  5. Oglemi

    Oglemi it's me heysup's gay friend, the legendary gaysup
    is a Tournament Directoris a member of the Site Staffis a Super Moderatoris a Community Contributoris a Pokemon Researcheris a Smogon Media Contributoris a Contributor to Smogonis a Tiering Contributor Alumnus
    C&C Leader

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    Oct 13, 2009
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    GPed this directly to the OP, just need one more. Don't worry about cross-checking the spelling on the massive tables.
  6. Ender

    Ender meteoric
    is a Pre-Contributor
    Mentor

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    2/2

    Very interesting formula

    Show Hide


    <h2>Introduction</h2>

    <p>We've all heard at some point or another about a Pokemon having a good offensive typing or having moves that provided solid coverage. A few years ago, [comma] a user by the name of X-Act published an article in The Smog about attacking types and their effectiveness in the DPP OU, UU, and Uber metagames of the time. For those of you that are interested, [comma] you can read the article <a href="/smog/issue3/attacking_types">here</a>. Fascinated by his work, I took it upon myself to apply his research to the RU tier.

    <h2>What X-Act Had Done</h2>

    <p>As with X-Act's research, I started my exploration of attacking types with the damage formula. He had simplified the formula until it contained only the most important factors. Here was the original formula:</p>

    BaseDamage = ((((2*Level)/5 +2)*Base Power*(Sp)Atk)/(Sp)Def)/50 +2

    <p>If we assume that the Pokemon is at level 100, then the formula becomes the following: [ . to : ]</p>

    BaseDamage = 42*Base Power*(Sp)Atk/(Sp)Def/50 +2

    <p>That +2 is largely irrelevant and generally obstructs interferes with the calculations once modifiers are applied, so it can be removed for simplicity's sake. Since percent damage is used in the formula, we also need to take into account the opponent's HP. Finally, since we're studying types, the type effectiveness must be included as well.</p>

    %Damage=0.84*(Sp)Atk*Base Power*Type Effectiveness/(Opp_(Sp)Def*Opp_HP)

    <p>In the actual damage formula, [comma] there is a modifier that chooses a random number between 1 and .85 each time a Pokemon attacks. This means that the actual damage done will change by a small amount every time the attack is selected by a small amount. For the purposes of these calculations, I sided with simplicity and set it to 1. When looking at types themselves, further simplifications had to be made. Namely, it would be assumed that the attacker's Attack stat and Base Power of its moves would be constant for all 17 types, both physical and special. X-Act used 300 Attack and 80 Base Power in his calculations, but I felt that 80 Base Power was too low for this purpose. When looking at single types, it would be safe to assume that a Mono-Attacker would usually be utilizing a STAB move, so I upped the Base Power to 120 to account for that. Also, 299 is the stat of a base 100 Attack stat Pokemon with 252 EVs and a neutral nature (think Jolly/Timid), so I kept the 300 for simplicity. Plugging in these numbers in gives the updated formula.</p>

    %Damage=30240*Type_Eff/(Opp_[Sp]Def*Opp_HP)

    <p>Now, since the maximum amount of percent damage done by any single attack is the entire opponent's HP, I put a cap on this formula. This was done by taking the minimum of the percent damage and 1. I did this to prevent types like Fire from being at the top of the list chiefly because they exploited 4x weaknesses (Escavalier, Durant, Snover, etc). Finally, usage needed to be factored into the formula so that hitting common threats like Slowking hard is more important than hitting something like Klinklang hard. The overall average percent came from summing up all the resulting values for each prevalent Pokemon in the metagame. This leads to the final formula.</p>

    Avg_Damage=sum(%Usage*min(30240*Type_Eff/(Opp_[Sp]Def*Opp_HP),1))

    <h2>Changing Things Up</h2>

    <p>The numbers given out by this formula in and of itself was were useful. However, I began to notice that the Dragon-type attacks were surprisingly low on my initial rankings despite the lack of Steel-types in RU, and that Ground-type attacks, despite the many numerous amount of Levitators and Flying-types, were quite high on the list. This made no sense from what I had heard from observing the posts of numerous competent battlers, so I set out to change the formula to make more viable conclusions. Fairly quickly I found that whenever offense was mentioned, it was always relative to how many hits it took to KO the opponent rather than the overall damage given. I had a minor epiphany, as I realized 60% and 90% were both essentially the same output in a 1v1 scenario, both being 2HKOs. However, in the previous formula, doing 90% attack would contribute to a significantly better score than doing 60%. This led to the scores rewarding super effective coverage more than solid neutral coverage. It wasn't hard to change the formula, I just had to take the inverse of the current formula and round up, creating what I am going to call "Clicks to KO" (CKO for short), represented by:</p>

    CKO=ceiling(1/maximum(Avg_Damage,0.1))/Accuracy

    <p>There were a few errors regarding immunities (since because they dealt no damage), so I took the maximum of the average damage and 0.1, essentially setting the CKO of immunities and extremely weak hits to 10. I chose 10 as my minimum so types that have one or two 1 or 2 Pokemon immune to it aren't automatically the worst attacking types weren't (think Water Absorb). Also, since because I am assuming the moves used had 100% accuracy for these calculations, the CKO is essentially the usage-weighted average hits to KO.</p>

    <p>I then summed up the resulting amount (since as it was still weighted by usage) and got the CKO for each type on both the physical and special sides. The results can be found below.</p>

    <table class="sortable">
    <thead><tr>
    <th>Rank</th>
    <th>Type</th>
    <th>CKO</th>
    </tr></thead>
    <tbody><tr>
    <td>1</td><td>Special Dragon</td><td>3.072</td>
    </tr><tr class="a">
    <td>2</td><td>Special Dark</td><td>3.117</td>
    </tr><tr>
    <td>3</td><td>Special Flying</td><td>3.161</td>
    </tr><tr class="a">
    <td>4</td><td>Special Rock</td><td>3.165</td>
    </tr><tr>
    <td>5</td><td>Physical Flying</td><td>3.261</td>
    </tr><tr class="a">
    <td>6</td><td>Physical Dragon</td><td>3.311</td>
    </tr><tr>
    <td>7</td><td>Physical Rock</td><td>3.367</td>
    </tr><tr class="a">
    <td>8</td><td>Special Ghost</td><td>3.379</td>
    </tr><tr>
    <td>9</td><td>Physical Dark</td><td>3.379</td>
    </tr><tr class="a">
    <td>10</td><td>Special Ice</td><td>3.468</td>
    </tr><tr>
    <td>11</td><td>Special Bug</td><td>3.485</td>
    </tr><tr class="a">
    <td>12</td><td>Special Water</td><td>3.518</td>
    </tr><tr>
    <td>13</td><td>Special Fire</td><td>3.566</td>
    </tr><tr class="a">
    <td>14</td><td>Physical Ice</td><td>3.573</td>
    </tr><tr>
    <td>15</td><td>Physical Water</td><td>3.595</td>
    </tr><tr class="a">
    <td>16</td><td>Physical Bug</td><td>3.666</td>
    </tr><tr>
    <td>17</td><td>Physical Fire</td><td>3.687</td>
    </tr><tr class="a">
    <td>18</td><td>Physical Ghost</td><td>3.738</td>
    </tr><tr>
    <td>19</td><td>Special Steel</td><td>3.772</td>
    </tr><tr class="a">
    <td>20</td><td>Special Normal</td><td>3.774</td>
    </tr><tr>
    <td>21</td><td>Special Fighting</td><td>3.825</td>
    </tr><tr class="a">
    <td>22</td><td>Special Psychic</td><td>3.878</td>
    </tr><tr>
    <td>23</td><td>Physical Fighting</td><td>3.927</td>
    </tr><tr class="a">
    <td>24</td><td>Special Electric</td><td>3.969</td>
    </tr><tr>
    <td>25</td><td>Special Ground</td><td>3.997</td>
    </tr><tr class="a">
    <td>26</td><td>Physical Normal</td><td>4.001</td>
    </tr><tr>
    <td>27</td><td>Special Grass</td><td>4.017</td>
    </tr><tr class="a">
    <td>28</td><td>Physical Electric</td><td>4.021</td>
    </tr><tr>
    <td>29</td><td>Physical Steel</td><td>4.031</td>
    </tr><tr class="a">
    <td>30</td><td>Special Poison</td><td>4.033</td>
    </tr><tr>
    <td>31</td><td>Physical Poison</td><td>4.037</td>
    </tr><tr class="a">
    <td>32</td><td>Physical Psychic</td><td>4.038</td>
    </tr><tr>
    <td>33</td><td>Physical Grass</td><td>4.124</td>
    </tr><tr class="a">
    <td>34</td><td>Physical Ground</td><td>4.131</td>
    </tr></table>

    <p>As I suspected, Dragon-type moves, having very little to resist them, were at the top of the list and Ground-types, with many Pokemon immune to them, were at the bottom. Does this mean that Earthquake is a bad move? No. This list is assuming a mono-attacking set, so having numerous Pokemon immune to your STAB move is a major downside.</p>

    <h2>Adding Another Move</h2>

    <p>Now that I had single-move coverage figured out, I browsed through the old Pokemetrics forums some more, and came across a thread by Dragontamer. Those that want to read his work can go <a href="/forums/threads/double-type-attack-combos-brute-force-counts.35684/">here</a>. I thought it was fascinating, so I figured that I would apply it to the CKO. Since Because the original formula summed up the CKOs for each Pokemon, to account for two-move coverage I simply took the minimum CKO between the two types and summed those up. The results for those numbers are here:</p>

    1 Special Fighting Special Ghost 2.387
    2 Special Fire Special Ghost 2.403
    3 Special Dark Special Fighting 2.452
    4 Physical Ground Physical Ice 2.465
    5 Special Ghost Special Ground 2.468
    6 Special Fighting Special Flying 2.471
    7 Physical Fighting Physical Flying 2.479
    8 Physical Fire Physical Ghost 2.491
    9 Special Ground Special Rock 2.496
    10 Physical Fire Physical Ground 2.496
    11 Physical Fighting Physical Ghost 2.502
    12 Special Grass Special Rock 2.511
    13 Special Dark Special Ground 2.515
    14 Physical Flying Physical Grass 2.521
    15 Special Dark Special Fire 2.521
    16 Special Flying Special Grass 2.532
    17 Physical Ghost Physical Ground 2.535
    18 Special Fire Special Ground 2.535
    19 Physical Dark Physical Fighting 2.540
    20 Special Ghost Special Water 2.542
    21 Physical Ground Physical Rock 2.546
    22 Special Ground Special Ice 2.551
    23 Physical Flying Physical Ground 2.552
    24 Physical Dark Physical Ground 2.555
    25 Physical Bug Physical Water 2.561
    26 Physical Flying Physical Water 2.563
    27 Special Fighting Special Rock 2.566
    28 Special Bug Special Water 2.570
    29 Special Fire Special Rock 2.573
    30 Special Ghost Special Rock 2.574
    31 Physical Dark Physical Fire 2.584
    32 Special Flying Special Ground 2.586
    33 Physical Grass Physical Rock 2.588
    34 Physical Fighting Physical Ice 2.604
    35 Special Flying Special Ghost 2.608
    36 Special Dark Special Flying 2.608
    37 Special Flying Special Rock 2.608
    38 Physical Fighting Physical Rock 2.613
    39 Special Flying Special Water 2.618
    40 Special Electric Special Fire 2.622
    41 Physical Electric Physical Fire 2.627
    42 Special Dark Special Water 2.631
    43 Special Ghost Special Ice 2.633
    44 Physical Electric Physical Ice 2.636
    45 Physical Ghost Physical Water 2.636
    46 Special Electric Special Ghost 2.637
    47 Physical Fire Physical Rock 2.639
    48 Special Fighting Special Ice 2.639
    49 Special Ice Special Rock 2.646
    50 Special Bug Special Electric 2.648
    51 Physical Bug Physical Ground 2.651
    52 Special Dragon Special Fire 2.654
    53 Special Electric Special Ice 2.660
    54 Physical Dragon Physical Fire 2.661
    55 Special Bug Special Fighting 2.663
    56 Special Electric Special Fighting 2.663
    57 Physical Fire Physical Grass 2.665
    58 Special Bug Special Ground 2.667
    59 Physical Fighting Physical Fire 2.671
    60 Special Dragon Special Fighting 2.673
    61 Special Rock Special Water 2.674
    62 Physical Bug Physical Fighting 2.676
    63 Special Dark Special Electric 2.702
    64 Physical Dark Physical Water 2.706
    65 Special Bug Special Rock 2.708
    66 Special Electric Special Flying 2.708
    67 Physical Ground Physical Poison 2.710
    68 Special Dragon Special Ground 2.711
    69 Physical Bug Physical Electric 2.713
    70 Special Fighting Special Fire 2.714
    71 Physical Electric Physical Fighting 2.717
    72 Physical Dragon Physical Ground 2.720
    73 Physical Dragon Physical Fighting 2.723
    74 Special Fire Special Grass 2.725
    75 Special Electric Special Psychic 2.734
    76 Special Psychic Special Rock 2.735
    77 Special Bug Special Flying 2.739
    78 Special Bug Special Ghost 2.740
    79 Physical Fire Physical Psychic 2.740
    80 Physical Rock Physical Water 2.740
    81 Special Ground Special Poison 2.741
    82 Special Ground Special Steel 2.741
    83 Special Dark Special Ice 2.752
    84 Physical Ice Physical Rock 2.754
    85 Physical Electric Physical Flying 2.768
    86 Physical Poison Physical Water 2.769
    87 Physical Ground Physical Steel 2.770
    88 Special Ghost Special Steel 2.771
    89 Physical Flying Physical Ghost 2.775
    90 Physical Dark Physical Flying 2.775
    91 Physical Fighting Physical Grass 2.776
    92 Special Poison Special Water 2.776
    93 Special Bug Special Psychic 2.777
    94 Special Grass Special Ice 2.780
    95 Special Fire Special Flying 2.785
    96 Physical Flying Physical Rock 2.787
    97 Special Fire Special Psychic 2.788
    98 Special Dark Special Rock 2.790
    99 Physical Ghost Physical Ice 2.791
    100 Special Dragon Special Electric 2.793
    101 Physical Electric Physical Ghost 2.795
    102 Special Electric Special Rock 2.796
    103 Physical Grass Physical Ice 2.797
    104 Special Flying Special Ice 2.799
    105 Special Dark Special Grass 2.800
    106 Special Dragon Special Water 2.805
    107 Special Electric Special Ground 2.806
    108 Special Fighting Special Grass 2.811
    109 Physical Fire Physical Flying 2.815
    110 Special Fighting Special Water 2.816
    111 Special Dragon Special Rock 2.816
    112 Physical Dragon Physical Water 2.822
    113 Physical Electric Physical Psychic 2.827
    114 Special Dragon Special Flying 2.829
    115 Special Ghost Special Poison 2.830
    116 Physical Dark Physical Electric 2.833
    117 Physical Electric Physical Ground 2.837
    118 Special Normal Special Water 2.839
    119 Physical Fighting Physical Water 2.840
    120 Physical Ghost Physical Rock 2.841
    121 Special Ghost Special Grass 2.841
    122 Special Ground Special Water 2.842
    123 Special Flying Special Psychic 2.846
    124 Special Bug Special Fire 2.847
    125 Special Dragon Special Grass 2.847
    126 Physical Bug Physical Rock 2.848
    127 Physical Ground Physical Psychic 2.848
    128 Special Rock Special Steel 2.852
    129 Special Fire Special Normal 2.852
    130 Special Ground Special Psychic 2.855
    131 Physical Ground Physical Water 2.855
    132 Physical Normal Physical Water 2.856
    133 Special Bug Special Dragon 2.861
    134 Physical Psychic Physical Water 2.863
    135 Special Dragon Special Ghost 2.866
    136 Special Dragon Special Ice 2.867
    137 Special Ghost Special Psychic 2.870
    138 Physical Bug Physical Flying 2.871
    139 Physical Bug Physical Psychic 2.881
    140 Physical Fire Physical Normal 2.881
    141 Special Grass Special Normal 2.881
    142 Physical Fire Physical Water 2.882
    143 Physical Grass Physical Psychic 2.883
    144 Special Grass Special Psychic 2.884
    145 Physical Dark Physical Ice 2.885
    146 Special Dark Special Steel 2.886
    147 Special Fighting Special Poison 2.890
    148 Physical Flying Physical Ice 2.894
    149 Special Dark Special Poison 2.895
    150 Physical Dark Physical Grass 2.895
    151 Special Normal Special Rock 2.896
    152 Physical Bug Physical Fire 2.896
    153 Physical Dragon Physical Grass 2.898
    154 Special Ghost Special Normal 2.900
    155 Physical Ice Physical Water 2.901
    156 Physical Fighting Physical Poison 2.902
    157 Special Fire Special Poison 2.904
    158 Physical Dragon Physical Electric 2.909
    159 Special Ground Special Normal 2.911
    160 Physical Psychic Physical Rock 2.914
    161 Special Flying Special Steel 2.915
    162 Physical Ground Physical Normal 2.919
    163 Special Bug Special Ice 2.921
    164 Special Psychic Special Water 2.925
    165 Physical Electric Physical Rock 2.929
    166 Special Grass Special Poison 2.931
    167 Special Dark Special Dragon 2.931
    168 Physical Grass Physical Normal 2.932
    169 Special Dark Special Psychic 2.935
    170 Special Poison Special Rock 2.936
    171 Special Fire Special Water 2.938
    172 Special Fighting Special Steel 2.940
    173 Special Ice Special Normal 2.941
    174 Physical Grass Physical Ground 2.943
    175 Special Ice Special Water 2.951
    176 Special Electric Special Normal 2.951
    177 Physical Bug Physical Ghost 2.952
    178 Physical Dragon Physical Flying 2.958
    179 Physical Flying Physical Psychic 2.960
    180 Special Bug Special Grass 2.961
    181 Physical Grass Physical Poison 2.962
    182 Physical Ghost Physical Grass 2.963
    183 Physical Dragon Physical Ice 2.964
    184 Physical Fighting Physical Steel 2.965
    185 Special Dark Special Normal 2.965
    186 Special Ice Special Poison 2.968
    187 Special Ice Special Psychic 2.969
    188 Physical Fire Physical Poison 2.971
    189 Special Bug Special Dark 2.977
    190 Physical Flying Physical Steel 2.984
    191 Special Fighting Special Ground 2.986
    192 Special Dark Special Ghost 2.988
    193 Special Grass Special Water 2.992
    194 Physical Bug Physical Grass 2.994
    195 Physical Dark Physical Rock 2.997
    196 Physical Grass Physical Water 2.999
    197 Physical Ghost Physical Steel 3.003
    198 Special Electric Special Steel 3.006
    199 Physical Ice Physical Psychic 3.008
    200 Physical Bug Physical Dragon 3.010
    201 Special Grass Special Ground 3.029
    202 Special Electric Special Poison 3.036
    203 Special Electric Special Water 3.038
    204 Physical Dragon Physical Rock 3.041
    205 Special Dragon Special Steel 3.043
    206 Physical Rock Physical Steel 3.045
    207 Physical Ice Physical Normal 3.051
    208 Special Bug Special Steel 3.052
    209 Special Grass Special Steel 3.053
    210 Physical Bug Physical Ice 3.061
    211 Physical Electric Physical Poison 3.061
    212 Physical Electric Physical Water 3.062
    213 Special Bug Special Normal 3.066
    214 Physical Ghost Physical Poison 3.066
    215 Special Dragon Special Psychic 3.068
    216 Physical Fighting Physical Ground 3.070
    217 Physical Electric Physical Normal 3.074
    218 Special Electric Special Grass 3.083
    219 Physical Fighting Physical Psychic 3.088
    220 Special Dragon Special Poison 3.091
    221 Physical Ice Physical Poison 3.097
    222 Physical Dark Physical Steel 3.099
    223 Special Normal Special Steel 3.102
    224 Physical Ghost Physical Psychic 3.103
    225 Special Bug Special Poison 3.104
    226 Physical Dark Physical Poison 3.104
    227 Special Poison Special Psychic 3.109
    228 Special Flying Special Normal 3.114
    229 Physical Poison Physical Rock 3.119
    230 Special Poison Special Steel 3.119
    231 Special Fighting Special Psychic 3.119
    232 Physical Normal Physical Rock 3.129
    233 Physical Bug Physical Dark 3.130
    234 Physical Dragon Physical Ghost 3.130
    235 Physical Dark Physical Psychic 3.141
    236 Physical Grass Physical Steel 3.142
    237 Special Flying Special Poison 3.143
    238 Special Psychic Special Steel 3.146
    239 Special Fighting Special Normal 3.150
    240 Physical Electric Physical Grass 3.157
    241 Physical Ghost Physical Normal 3.164
    242 Physical Electric Physical Steel 3.165
    243 Physical Dark Physical Dragon 3.168
    244 Special Fire Special Ice 3.182
    245 Special Dragon Special Normal 3.186
    246 Special Steel Special Water 3.190
    247 Physical Bug Physical Steel 3.199
    248 Physical Dragon Physical Steel 3.200
    249 Physical Fire Physical Ice 3.201
    250 Physical Bug Physical Normal 3.201
    251 Physical Dark Physical Normal 3.202
    252 Physical Flying Physical Normal 3.203
    253 Physical Steel Physical Water 3.214
    254 Physical Fighting Physical Normal 3.215
    255 Special Fire Special Steel 3.215
    256 Physical Dragon Physical Psychic 3.222
    257 Physical Psychic Physical Steel 3.226
    258 Physical Flying Physical Poison 3.232
    259 Physical Fire Physical Steel 3.233
    260 Physical Poison Physical Psychic 3.235
    261 Physical Dragon Physical Poison 3.250
    262 Physical Bug Physical Poison 3.254
    263 Physical Normal Physical Steel 3.258
    264 Physical Dark Physical Ghost 3.267
    265 Physical Poison Physical Steel 3.274
    266 Special Normal Special Psychic 3.282
    267 Special Ice Special Steel 3.302
    268 Physical Ice Physical Steel 3.377
    269 Physical Dragon Physical Normal 3.385
    270 Physical Normal Physical Psychic 3.436
    271 Special Normal Special Poison 3.610
    272 Physical Normal Physical Poison 3.727

    <p>As you can see, the combination of specially based Ghost- and Fighting-type attacks, known for being unresisted against all current Pokemon, is the best theoretical STAB combination in this metagame. Interestingly, the Ghost- and Fire-type STAB combination is close behind, despite both types being resisted by Crawdaunt, a decently common Pokemon in RU. This implies that the super effective coverage provided by these types is enough to offset that one Pokemon. Another interesting note is the numbers here are generally less than the numbers in the previous table, which makes sense, since 2 two-move coverage is always better than 1 one-move coverage.</p>

    <p>Finally, I wanted to incorporate the possibility of having 1 one STAB move with a non-STAB coverage move. It is logical to assume that a hypothetical Normal / Poison type would be better off with a coverage move over one of their STAB attacks, and it also accounts for two-move coverage on monotype Pokemon like Uxie, Lilligant, and Cryogonal. The method for this value is almost the same as for two STAB moves, except the non-STAB type has its damage multiplied by 2/3.</p>

    49 STAB Physical Bug Physical Water 2.949
    97 STAB Physical Bug Physical Ground 3.038
    181 STAB Physical Bug Physical Rock 3.130
    194 STAB Physical Bug Physical Electric 3.140
    227 STAB Physical Bug Physical Fighting 3.179
    229 STAB Physical Bug Physical Psychic 3.181
    257 STAB Physical Bug Physical Flying 3.205
    285 STAB Physical Bug Physical Fire 3.243
    335 STAB Physical Bug Physical Ghost 3.300
    396 STAB Physical Bug Physical Dragon 3.375
    409 STAB Physical Bug Physical Grass 3.390
    416 STAB Physical Bug Physical Dark 3.403
    417 STAB Physical Bug Physical Ice 3.403
    446 STAB Physical Bug Physical Normal 3.448
    458 STAB Physical Bug Physical Poison 3.467
    461 STAB Physical Bug Physical Steel 3.471
    40 STAB Physical Dark Physical Fire 2.934
    43 STAB Physical Dark Physical Fighting 2.938
    54 STAB Physical Dark Physical Ground 2.965
    133 STAB Physical Dark Physical Water 3.080
    135 STAB Physical Dark Physical Flying 3.081
    221 STAB Physical Dark Physical Electric 3.176
    230 STAB Physical Dark Physical Grass 3.182
    278 STAB Physical Dark Physical Psychic 3.231
    286 STAB Physical Dark Physical Ice 3.243
    293 STAB Physical Dark Physical Rock 3.249
    317 STAB Physical Dark Physical Bug 3.275
    339 STAB Physical Dark Physical Poison 3.305
    341 STAB Physical Dark Physical Steel 3.307
    381 STAB Physical Dark Physical Normal 3.354
    382 STAB Physical Dark Physical Dragon 3.354
    392 STAB Physical Dark Physical Ghost 3.372
    31 STAB Physical Dragon Physical Fire 2.917
    78 STAB Physical Dragon Physical Fighting 3.004
    88 STAB Physical Dragon Physical Ground 3.022
    155 STAB Physical Dragon Physical Water 3.101
    211 STAB Physical Dragon Physical Grass 3.165
    252 STAB Physical Dragon Physical Flying 3.199
    260 STAB Physical Dragon Physical Electric 3.209
    272 STAB Physical Dragon Physical Bug 3.223
    284 STAB Physical Dragon Physical Ice 3.237
    290 STAB Physical Dragon Physical Rock 3.247
    336 STAB Physical Dragon Physical Ghost 3.300
    337 STAB Physical Dragon Physical Steel 3.301
    345 STAB Physical Dragon Physical Psychic 3.312
    350 STAB Physical Dragon Physical Poison 3.318
    353 STAB Physical Dragon Physical Dark 3.319
    404 STAB Physical Dragon Physical Normal 3.385
    87 STAB Physical Electric Physical Fire 3.015
    99 STAB Physical Electric Physical Ice 3.040
    228 STAB Physical Electric Physical Bug 3.180
    261 STAB Physical Electric Physical Fighting 3.209
    275 STAB Physical Electric Physical Flying 3.227
    303 STAB Physical Electric Physical Ground 3.256
    318 STAB Physical Electric Physical Psychic 3.277
    344 STAB Physical Electric Physical Ghost 3.310
    358 STAB Physical Electric Physical Dark 3.329
    359 STAB Physical Electric Physical Dragon 3.330
    386 STAB Physical Electric Physical Poison 3.360
    401 STAB Physical Electric Physical Grass 3.382
    421 STAB Physical Electric Physical Rock 3.410
    436 STAB Physical Electric Physical Water 3.440
    454 STAB Physical Electric Physical Normal 3.460
    511 STAB Physical Electric Physical Steel 3.590
    17 STAB Physical Fighting Physical Ghost 2.872
    38 STAB Physical Fighting Physical Dark 2.929
    93 STAB Physical Fighting Physical Flying 3.029
    117 STAB Physical Fighting Physical Fire 3.064
    136 STAB Physical Fighting Physical Ice 3.083
    167 STAB Physical Fighting Physical Rock 3.117
    169 STAB Physical Fighting Physical Electric 3.118
    212 STAB Physical Fighting Physical Bug 3.168
    276 STAB Physical Fighting Physical Grass 3.229
    300 STAB Physical Fighting Physical Dragon 3.254
    320 STAB Physical Fighting Physical Water 3.278
    373 STAB Physical Fighting Physical Steel 3.342
    413 STAB Physical Fighting Physical Psychic 3.395
    467 STAB Physical Fighting Physical Ground 3.476
    475 STAB Physical Fighting Physical Poison 3.494
    520 STAB Physical Fighting Physical Normal 3.623
    39 STAB Physical Fire Physical Grass 2.933
    46 STAB Physical Fire Physical Ground 2.946
    51 STAB Physical Fire Physical Electric 2.952
    147 STAB Physical Fire Physical Rock 3.096
    150 STAB Physical Fire Physical Ghost 3.099
    175 STAB Physical Fire Physical Fighting 3.124
    196 STAB Physical Fire Physical Dark 3.143
    207 STAB Physical Fire Physical Water 3.160
    226 STAB Physical Fire Physical Psychic 3.178
    249 STAB Physical Fire Physical Dragon 3.196
    291 STAB Physical Fire Physical Bug 3.248
    378 STAB Physical Fire Physical Flying 3.349
    422 STAB Physical Fire Physical Steel 3.411
    423 STAB Physical Fire Physical Normal 3.419
    452 STAB Physical Fire Physical Poison 3.456
    463 STAB Physical Fire Physical Ice 3.473
    4 STAB Physical Flying Physical Ground 2.777
    7 STAB Physical Flying Physical Fighting 2.802
    25 STAB Physical Flying Physical Grass 2.889
    27 STAB Physical Flying Physical Water 2.892
    82 STAB Physical Flying Physical Fire 3.010
    101 STAB Physical Flying Physical Electric 3.040
    149 STAB Physical Flying Physical Rock 3.096
    184 STAB Physical Flying Physical Dark 3.133
    185 STAB Physical Flying Physical Ghost 3.133
    192 STAB Physical Flying Physical Steel 3.139
    209 STAB Physical Flying Physical Ice 3.163
    215 STAB Physical Flying Physical Bug 3.170
    248 STAB Physical Flying Physical Psychic 3.196
    264 STAB Physical Flying Physical Dragon 3.212
    333 STAB Physical Flying Physical Normal 3.298
    334 STAB Physical Flying Physical Poison 3.300
    9 STAB Physical Ghost Physical Fighting 2.818
    30 STAB Physical Ghost Physical Fire 2.912
    66 STAB Physical Ghost Physical Ground 2.977
    120 STAB Physical Ghost Physical Water 3.066
    216 STAB Physical Ghost Physical Flying 3.171
    222 STAB Physical Ghost Physical Electric 3.177
    233 STAB Physical Ghost Physical Rock 3.184
    262 STAB Physical Ghost Physical Bug 3.210
    269 STAB Physical Ghost Physical Ice 3.216
    314 STAB Physical Ghost Physical Steel 3.267
    324 STAB Physical Ghost Physical Grass 3.282
    325 STAB Physical Ghost Physical Poison 3.290
    338 STAB Physical Ghost Physical Psychic 3.302
    369 STAB Physical Ghost Physical Normal 3.339
    370 STAB Physical Ghost Physical Dragon 3.339
    397 STAB Physical Ghost Physical Dark 3.376
    83 STAB Physical Grass Physical Fire 3.011
    103 STAB Physical Grass Physical Flying 3.043
    141 STAB Physical Grass Physical Rock 3.088
    251 STAB Physical Grass Physical Ice 3.198
    361 STAB Physical Grass Physical Ground 3.332
    405 STAB Physical Grass Physical Poison 3.386
    411 STAB Physical Grass Physical Fighting 3.394
    427 STAB Physical Grass Physical Psychic 3.424
    444 STAB Physical Grass Physical Water 3.445
    464 STAB Physical Grass Physical Dragon 3.473
    478 STAB Physical Grass Physical Bug 3.499
    482 STAB Physical Grass Physical Dark 3.508
    487 STAB Physical Grass Physical Normal 3.524
    489 STAB Physical Grass Physical Electric 3.526
    504 STAB Physical Grass Physical Ghost 3.577
    523 STAB Physical Grass Physical Steel 3.645
    18 STAB Physical Ground Physical Ice 2.872
    20 STAB Physical Ground Physical Rock 2.883
    28 STAB Physical Ground Physical Fire 2.910
    57 STAB Physical Ground Physical Ghost 2.967
    62 STAB Physical Ground Physical Dark 2.972
    79 STAB Physical Ground Physical Flying 3.005
    105 STAB Physical Ground Physical Bug 3.046
    129 STAB Physical Ground Physical Poison 3.077
    197 STAB Physical Ground Physical Dragon 3.144
    239 STAB Physical Ground Physical Water 3.188
    242 STAB Physical Ground Physical Electric 3.190
    244 STAB Physical Ground Physical Steel 3.193
    322 STAB Physical Ground Physical Psychic 3.281
    360 STAB Physical Ground Physical Normal 3.330
    395 STAB Physical Ground Physical Grass 3.374
    450 STAB Physical Ground Physical Fighting 3.454
    35 STAB Physical Ice Physical Ground 2.925
    94 STAB Physical Ice Physical Electric 3.031
    116 STAB Physical Ice Physical Grass 3.062
    124 STAB Physical Ice Physical Fighting 3.072
    254 STAB Physical Ice Physical Rock 3.202
    283 STAB Physical Ice Physical Water 3.235
    296 STAB Physical Ice Physical Ghost 3.250
    330 STAB Physical Ice Physical Dark 3.294
    354 STAB Physical Ice Physical Flying 3.322
    357 STAB Physical Ice Physical Psychic 3.329
    384 STAB Physical Ice Physical Bug 3.354
    388 STAB Physical Ice Physical Fire 3.366
    414 STAB Physical Ice Physical Dragon 3.398
    429 STAB Physical Ice Physical Normal 3.430
    443 STAB Physical Ice Physical Poison 3.445
    492 STAB Physical Ice Physical Steel 3.536
    289 STAB Physical Normal Physical Fire 3.246
    311 STAB Physical Normal Physical Water 3.263
    352 STAB Physical Normal Physical Ground 3.319
    355 STAB Physical Normal Physical Grass 3.325
    449 STAB Physical Normal Physical Ice 3.452
    469 STAB Physical Normal Physical Electric 3.480
    474 STAB Physical Normal Physical Rock 3.490
    481 STAB Physical Normal Physical Ghost 3.506
    486 STAB Physical Normal Physical Steel 3.517
    488 STAB Physical Normal Physical Dark 3.525
    496 STAB Physical Normal Physical Fighting 3.549
    499 STAB Physical Normal Physical Flying 3.565
    522 STAB Physical Normal Physical Dragon 3.641
    525 STAB Physical Normal Physical Bug 3.648
    533 STAB Physical Normal Physical Psychic 3.709
    543 STAB Physical Normal Physical Poison 3.946
    232 STAB Physical Poison Physical Ground 3.183
    280 STAB Physical Poison Physical Water 3.232
    349 STAB Physical Poison Physical Fighting 3.317
    368 STAB Physical Poison Physical Fire 3.338
    455 STAB Physical Poison Physical Grass 3.460
    484 STAB Physical Poison Physical Electric 3.512
    514 STAB Physical Poison Physical Rock 3.601
    516 STAB Physical Poison Physical Ice 3.613
    526 STAB Physical Poison Physical Flying 3.655
    527 STAB Physical Poison Physical Ghost 3.659
    529 STAB Physical Poison Physical Steel 3.677
    530 STAB Physical Poison Physical Dark 3.678
    536 STAB Physical Poison Physical Psychic 3.725
    538 STAB Physical Poison Physical Dragon 3.776
    539 STAB Physical Poison Physical Bug 3.788
    544 STAB Physical Poison Physical Normal 3.997
    246 STAB Physical Psychic Physical Bug 3.195
    259 STAB Physical Psychic Physical Fire 3.208
    316 STAB Physical Psychic Physical Electric 3.270
    329 STAB Physical Psychic Physical Ground 3.293
    376 STAB Physical Psychic Physical Grass 3.344
    393 STAB Physical Psychic Physical Water 3.373
    408 STAB Physical Psychic Physical Rock 3.389
    415 STAB Physical Psychic Physical Fighting 3.401
    428 STAB Physical Psychic Physical Ghost 3.426
    438 STAB Physical Psychic Physical Flying 3.440
    445 STAB Physical Psychic Physical Dark 3.445
    471 STAB Physical Psychic Physical Ice 3.484
    500 STAB Physical Psychic Physical Steel 3.566
    502 STAB Physical Psychic Physical Dragon 3.570
    528 STAB Physical Psychic Physical Poison 3.674
    534 STAB Physical Psychic Physical Normal 3.711
    45 STAB Physical Rock Physical Grass 2.945
    47 STAB Physical Rock Physical Ground 2.948
    61 STAB Physical Rock Physical Fighting 2.972
    72 STAB Physical Rock Physical Fire 2.983
    75 STAB Physical Rock Physical Water 2.995
    104 STAB Physical Rock Physical Flying 3.044
    160 STAB Physical Rock Physical Ice 3.107
    198 STAB Physical Rock Physical Psychic 3.148
    201 STAB Physical Rock Physical Ghost 3.154
    237 STAB Physical Rock Physical Bug 3.186
    258 STAB Physical Rock Physical Electric 3.207
    294 STAB Physical Rock Physical Steel 3.249
    304 STAB Physical Rock Physical Dark 3.257
    327 STAB Physical Rock Physical Poison 3.293
    328 STAB Physical Rock Physical Dragon 3.293
    340 STAB Physical Rock Physical Normal 3.307
    313 STAB Physical Steel Physical Ground 3.265
    465 STAB Physical Steel Physical Fighting 3.474
    468 STAB Physical Steel Physical Grass 3.480
    485 STAB Physical Steel Physical Rock 3.515
    491 STAB Physical Steel Physical Fire 3.530
    493 STAB Physical Steel Physical Ghost 3.545
    495 STAB Physical Steel Physical Electric 3.549
    508 STAB Physical Steel Physical Bug 3.584
    510 STAB Physical Steel Physical Dark 3.590
    513 STAB Physical Steel Physical Water 3.599
    517 STAB Physical Steel Physical Flying 3.617
    521 STAB Physical Steel Physical Psychic 3.635
    531 STAB Physical Steel Physical Poison 3.695
    535 STAB Physical Steel Physical Dragon 3.718
    537 STAB Physical Steel Physical Normal 3.730
    541 STAB Physical Steel Physical Ice 3.856
    50 STAB Physical Water Physical Bug 2.951
    77 STAB Physical Water Physical Flying 2.999
    128 STAB Physical Water Physical Fire 3.077
    165 STAB Physical Water Physical Ice 3.113
    179 STAB Physical Water Physical Poison 3.125
    199 STAB Physical Water Physical Ghost 3.152
    210 STAB Physical Water Physical Grass 3.163
    243 STAB Physical Water Physical Dark 3.191
    253 STAB Physical Water Physical Psychic 3.201
    287 STAB Physical Water Physical Electric 3.245
    305 STAB Physical Water Physical Rock 3.258
    309 STAB Physical Water Physical Dragon 3.261
    321 STAB Physical Water Physical Ground 3.280
    331 STAB Physical Water Physical Fighting 3.295
    346 STAB Physical Water Physical Normal 3.312
    448 STAB Physical Water Physical Steel 3.452
    41 STAB Special Bug Special Water 2.936
    86 STAB Special Bug Special Rock 3.013
    92 STAB Special Bug Special Ground 3.029
    114 STAB Special Bug Special Electric 3.060
    163 STAB Special Bug Special Flying 3.112
    168 STAB Special Bug Special Psychic 3.118
    173 STAB Special Bug Special Ghost 3.120
    213 STAB Special Bug Special Fighting 3.169
    255 STAB Special Bug Special Fire 3.205
    298 STAB Special Bug Special Dragon 3.252
    302 STAB Special Bug Special Ice 3.255
    306 STAB Special Bug Special Dark 3.258
    332 STAB Special Bug Special Grass 3.296
    362 STAB Special Bug Special Normal 3.333
    374 STAB Special Bug Special Steel 3.342
    380 STAB Special Bug Special Poison 3.351
    11 STAB Special Dark Special Fighting 2.843
    14 STAB Special Dark Special Fire 2.857
    24 STAB Special Dark Special Ground 2.887
    37 STAB Special Dark Special Flying 2.927
    68 STAB Special Dark Special Water 2.979
    80 STAB Special Dark Special Electric 3.005
    91 STAB Special Dark Special Grass 3.028
    102 STAB Special Dark Special Psychic 3.042
    122 STAB Special Dark Special Ice 3.071
    130 STAB Special Dark Special Rock 3.078
    159 STAB Special Dark Special Steel 3.106
    164 STAB Special Dark Special Poison 3.112
    166 STAB Special Dark Special Bug 3.116
    176 STAB Special Dark Special Ghost 3.125
    190 STAB Special Dark Special Normal 3.138
    191 STAB Special Dark Special Dragon 3.138
    19 STAB Special Dragon Special Fire 2.874
    36 STAB Special Dragon Special Fighting 2.926
    53 STAB Special Dragon Special Ground 2.964
    95 STAB Special Dragon Special Water 3.034
    107 STAB Special Dragon Special Electric 3.050
    110 STAB Special Dragon Special Rock 3.054
    111 STAB Special Dragon Special Grass 3.057
    115 STAB Special Dragon Special Ghost 3.061
    126 STAB Special Dragon Special Bug 3.075
    134 STAB Special Dragon Special Flying 3.080
    138 STAB Special Dragon Special Ice 3.083
    143 STAB Special Dragon Special Dark 3.093
    188 STAB Special Dragon Special Steel 3.135
    203 STAB Special Dragon Special Poison 3.154
    219 STAB Special Dragon Special Psychic 3.174
    235 STAB Special Dragon Special Normal 3.186
    73 STAB Special Electric Special Fire 2.984
    74 STAB Special Electric Special Ice 2.987
    148 STAB Special Electric Special Bug 3.096
    153 STAB Special Electric Special Fighting 3.100
    180 STAB Special Electric Special Ghost 3.130
    208 STAB Special Electric Special Dark 3.163
    214 STAB Special Electric Special Ground 3.169
    241 STAB Special Electric Special Dragon 3.190
    247 STAB Special Electric Special Psychic 3.195
    271 STAB Special Electric Special Flying 3.218
    299 STAB Special Electric Special Grass 3.254
    377 STAB Special Electric Special Normal 3.348
    379 STAB Special Electric Special Rock 3.349
    385 STAB Special Electric Special Poison 3.359
    387 STAB Special Electric Special Water 3.365
    430 STAB Special Electric Special Steel 3.430
    2 STAB Special Fighting Special Ghost 2.757
    13 STAB Special Fighting Special Dark 2.854
    109 STAB Special Fighting Special Flying 3.053
    131 STAB Special Fighting Special Rock 3.078
    146 STAB Special Fighting Special Electric 3.095
    170 STAB Special Fighting Special Ice 3.118
    182 STAB Special Fighting Special Fire 3.132
    217 STAB Special Fighting Special Bug 3.172
    282 STAB Special Fighting Special Dragon 3.234
    301 STAB Special Fighting Special Grass 3.255
    323 STAB Special Fighting Special Water 3.282
    365 STAB Special Fighting Special Steel 3.337
    453 STAB Special Fighting Special Ground 3.457
    473 STAB Special Fighting Special Psychic 3.488
    477 STAB Special Fighting Special Poison 3.497
    505 STAB Special Fighting Special Normal 3.580
    55 STAB Special Fire Special Electric 2.966
    63 STAB Special Fire Special Ground 2.973
    64 STAB Special Fire Special Grass 2.974
    76 STAB Special Fire Special Ghost 2.996
    100 STAB Special Fire Special Rock 3.040
    112 STAB Special Fire Special Dark 3.058
    205 STAB Special Fire Special Fighting 3.159
    220 STAB Special Fire Special Water 3.175
    224 STAB Special Fire Special Bug 3.178
    225 STAB Special Fire Special Dragon 3.178
    273 STAB Special Fire Special Psychic 3.225
    375 STAB Special Fire Special Flying 3.343
    391 STAB Special Fire Special Steel 3.368
    403 STAB Special Fire Special Normal 3.385
    418 STAB Special Fire Special Ice 3.405
    419 STAB Special Fire Special Poison 3.406
    3 STAB Special Flying Special Ground 2.768
    5 STAB Special Flying Special Fighting 2.778
    10 STAB Special Flying Special Grass 2.843
    21 STAB Special Flying Special Water 2.883
    44 STAB Special Flying Special Electric 2.943
    56 STAB Special Flying Special Fire 2.966
    58 STAB Special Flying Special Rock 2.968
    70 STAB Special Flying Special Dark 2.982
    71 STAB Special Flying Special Ghost 2.982
    98 STAB Special Flying Special Steel 3.039
    113 STAB Special Flying Special Ice 3.058
    118 STAB Special Flying Special Bug 3.065
    132 STAB Special Flying Special Psychic 3.079
    140 STAB Special Flying Special Dragon 3.087
    266 STAB Special Flying Special Normal 3.213
    279 STAB Special Flying Special Poison 3.231
    1 STAB Special Ghost Special Fighting 2.678
    6 STAB Special Ghost Special Fire 2.798
    22 STAB Special Ghost Special Ground 2.883
    48 STAB Special Ghost Special Water 2.949
    60 STAB Special Ghost Special Rock 2.970
    65 STAB Special Ghost Special Electric 2.976
    81 STAB Special Ghost Special Ice 3.009
    85 STAB Special Ghost Special Bug 3.013
    90 STAB Special Ghost Special Flying 3.027
    106 STAB Special Ghost Special Steel 3.050
    127 STAB Special Ghost Special Poison 3.075
    151 STAB Special Ghost Special Normal 3.100
    152 STAB Special Ghost Special Dragon 3.100
    156 STAB Special Ghost Special Grass 3.104
    161 STAB Special Ghost Special Psychic 3.108
    172 STAB Special Ghost Special Dark 3.120
    96 STAB Special Grass Special Rock 3.035
    123 STAB Special Grass Special Fire 3.071
    162 STAB Special Grass Special Flying 3.109
    206 STAB Special Grass Special Ice 3.159
    400 STAB Special Grass Special Poison 3.380
    402 STAB Special Grass Special Ground 3.383
    410 STAB Special Grass Special Dark 3.393
    433 STAB Special Grass Special Dragon 3.433
    435 STAB Special Grass Special Bug 3.435
    439 STAB Special Grass Special Fighting 3.442
    442 STAB Special Grass Special Psychic 3.445
    451 STAB Special Grass Special Ghost 3.455
    460 STAB Special Grass Special Water 3.469
    470 STAB Special Grass Special Normal 3.484
    480 STAB Special Grass Special Electric 3.504
    494 STAB Special Grass Special Steel 3.548
    8 STAB Special Ground Special Rock 2.813
    29 STAB Special Ground Special Ice 2.911
    32 STAB Special Ground Special Ghost 2.918
    42 STAB Special Ground Special Dark 2.936
    52 STAB Special Ground Special Fire 2.958
    145 STAB Special Ground Special Flying 3.095
    178 STAB Special Ground Special Bug 3.125
    183 STAB Special Ground Special Poison 3.133
    193 STAB Special Ground Special Dragon 3.140
    200 STAB Special Ground Special Steel 3.152
    218 STAB Special Ground Special Electric 3.173
    234 STAB Special Ground Special Water 3.185
    356 STAB Special Ground Special Normal 3.326
    399 STAB Special Ground Special Psychic 3.379
    432 STAB Special Ground Special Fighting 3.433
    466 STAB Special Ground Special Grass 3.474
    69 STAB Special Ice Special Ground 2.982
    108 STAB Special Ice Special Grass 3.052
    119 STAB Special Ice Special Electric 3.066
    154 STAB Special Ice Special Fighting 3.101
    171 STAB Special Ice Special Rock 3.119
    177 STAB Special Ice Special Ghost 3.125
    238 STAB Special Ice Special Dark 3.187
    288 STAB Special Ice Special Bug 3.246
    315 STAB Special Ice Special Water 3.269
    342 STAB Special Ice Special Flying 3.308
    351 STAB Special Ice Special Fire 3.318
    364 STAB Special Ice Special Psychic 3.336
    371 STAB Special Ice Special Dragon 3.339
    398 STAB Special Ice Special Normal 3.376
    412 STAB Special Ice Special Poison 3.395
    440 STAB Special Ice Special Steel 3.443
    231 STAB Special Normal Special Fire 3.183
    236 STAB Special Normal Special Water 3.186
    270 STAB Special Normal Special Grass 3.218
    307 STAB Special Normal Special Ghost 3.260
    308 STAB Special Normal Special Ground 3.261
    326 STAB Special Normal Special Dark 3.292
    343 STAB Special Normal Special Rock 3.309
    347 STAB Special Normal Special Electric 3.315
    348 STAB Special Normal Special Ice 3.316
    372 STAB Special Normal Special Steel 3.340
    441 STAB Special Normal Special Dragon 3.443
    447 STAB Special Normal Special Fighting 3.449
    472 STAB Special Normal Special Flying 3.488
    476 STAB Special Normal Special Bug 3.494
    503 STAB Special Normal Special Psychic 3.573
    540 STAB Special Normal Special Poison 3.809
    186 STAB Special Poison Special Ground 3.134
    250 STAB Special Poison Special Water 3.197
    281 STAB Special Poison Special Fighting 3.234
    292 STAB Special Poison Special Fire 3.249
    390 STAB Special Poison Special Grass 3.368
    431 STAB Special Poison Special Ghost 3.430
    434 STAB Special Poison Special Ice 3.434
    456 STAB Special Poison Special Electric 3.462
    457 STAB Special Poison Special Dark 3.463
    479 STAB Special Poison Special Rock 3.502
    490 STAB Special Poison Special Steel 3.527
    515 STAB Special Poison Special Dragon 3.607
    518 STAB Special Poison Special Bug 3.618
    519 STAB Special Poison Special Psychic 3.622
    524 STAB Special Poison Special Flying 3.647
    542 STAB Special Poison Special Normal 3.925
    158 STAB Special Psychic Special Bug 3.106
    187 STAB Special Psychic Special Electric 3.134
    245 STAB Special Psychic Special Ghost 3.195
    265 STAB Special Psychic Special Fire 3.212
    274 STAB Special Psychic Special Dark 3.227
    295 STAB Special Psychic Special Rock 3.250
    312 STAB Special Psychic Special Grass 3.264
    319 STAB Special Psychic Special Ground 3.278
    367 STAB Special Psychic Special Flying 3.338
    389 STAB Special Psychic Special Ice 3.366
    394 STAB Special Psychic Special Water 3.374
    420 STAB Special Psychic Special Fighting 3.409
    437 STAB Special Psychic Special Dragon 3.440
    462 STAB Special Psychic Special Steel 3.471
    498 STAB Special Psychic Special Poison 3.562
    506 STAB Special Psychic Special Normal 3.582
    12 STAB Special Rock Special Ground 2.846
    15 STAB Special Rock Special Grass 2.858
    16 STAB Special Rock Special Fighting 2.861
    23 STAB Special Rock Special Fire 2.884
    26 STAB Special Rock Special Flying 2.890
    33 STAB Special Rock Special Water 2.918
    34 STAB Special Rock Special Ghost 2.920
    67 STAB Special Rock Special Ice 2.978
    84 STAB Special Rock Special Psychic 3.011
    121 STAB Special Rock Special Bug 3.066
    137 STAB Special Rock Special Electric 3.083
    139 STAB Special Rock Special Dark 3.084
    142 STAB Special Rock Special Steel 3.093
    157 STAB Special Rock Special Dragon 3.105
    174 STAB Special Rock Special Normal 3.123
    195 STAB Special Rock Special Poison 3.141
    240 STAB Special Steel Special Ground 3.189
    363 STAB Special Steel Special Ghost 3.335
    366 STAB Special Steel Special Grass 3.337
    383 STAB Special Steel Special Rock 3.354
    406 STAB Special Steel Special Dark 3.387
    407 STAB Special Steel Special Electric 3.389
    424 STAB Special Steel Special Bug 3.420
    426 STAB Special Steel Special Fighting 3.423
    459 STAB Special Steel Special Fire 3.468
    483 STAB Special Steel Special Water 3.508
    497 STAB Special Steel Special Flying 3.554
    501 STAB Special Steel Special Poison 3.568
    507 STAB Special Steel Special Dragon 3.582
    509 STAB Special Steel Special Psychic 3.588
    512 STAB Special Steel Special Normal 3.594
    532 STAB Special Steel Special Ice 3.699
    59 STAB Special Water Special Bug 2.968
    89 STAB Special Water Special Ghost 3.026
    125 STAB Special Water Special Flying 3.075
    144 STAB Special Water Special Dark 3.094
    189 STAB Special Water Special Poison 3.136
    202 STAB Special Water Special Fire 3.154
    204 STAB Special Water Special Grass 3.158
    223 STAB Special Water Special Ice 3.177
    256 STAB Special Water Special Rock 3.205
    263 STAB Special Water Special Dragon 3.212
    267 STAB Special Water Special Ground 3.215
    268 STAB Special Water Special Electric 3.215
    277 STAB Special Water Special Fighting 3.230
    297 STAB Special Water Special Psychic 3.252
    310 STAB Special Water Special Normal 3.262
    425 STAB Special Water Special Steel 3.421

    <p>This is arguably the most useful out of the three tables, since as it now allows you to make certain choices given an attacker's movepool. The most obvious example of this is deciding on a Hidden Power type for Pokemon like Lilligant who use it as their only coverage move. Pokemon Showdown! automatically sets the Base Power of Hidden Power to 70, which is close to the 80 that is used in the calculation, so we can assume that the relative ranking of the CKOs will not change within a type group. Using the Lilligant example, we scroll down until we see STAB Special Grass, and the type listed in the other column is the best Hidden Power type, in this case, Hidden Power Rock.</p>

    <p>One last note: Since these scores are based on usage statistics, they will change as the new statistics come out each month.</p>


    Show Hide
    Last edited: Jul 20, 2014
  7. Oglemi

    Oglemi it's me heysup's gay friend, the legendary gaysup
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    Joined:
    Oct 13, 2009
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    implemented GP check

    Code:
    [title]
    Mathematically Determining the Attacking Types of RU
    [head]
    <meta name="description" content="A mathematical look at determining the best and common attacking types in RU, thanks to MicfiJasan" />
    [page]
    <div class="author">By <a href="/forums/members/micfijasan.166594/">MicfiJasan</a>.</div>
    
    <h2>Introduction</h2>
    
    <p>We've all heard at some point or another about a Pokémon having a good offensive typing or having moves that provided solid coverage. A few years ago, a user by the name of X-Act published an article in The Smog about attacking types and their effectiveness in the DPP OU, UU, and Uber metagames of the time. For those of you that are interested, you can read the article <a href="/smog/issue3/attacking_types">here</a>. Fascinated by his work, I took it upon myself to apply his research to the RU tier.
    
    <h2>What X-Act Had Done</h2>
    
    <p>As with X-Act's research, I started my exploration of attacking types with the damage formula. He had simplified the formula until it contained only the most important factors. Here was the original formula:</p>
    
    <pre>BaseDamage = ((((2*Level)/5 +2)*Base Power*(Sp)Atk)/(Sp)Def)/50 +2</pre>
    
    <p>If we assume that the Pokemon is at level 100, then the formula becomes the following:</p>
    
    <pre>BaseDamage = 42*Base Power*(Sp)Atk/(Sp)Def/50 +2</pre>
    
    <p>That +2 is largely irrelevant and generally interferes with the calculations once modifiers are applied, so it can be removed for simplicity's sake. Since percent damage is used in the formula, we also need to take into account the opponent's HP. Finally, since we're studying types, the type effectiveness must be included as well.</p>
    
    <pre>%Damage=0.84*(Sp)Atk*Base Power*Type Effectiveness/(Opp_(Sp)Def*Opp_HP)</pre>
    
    <p>In the actual damage formula there is a modifier that chooses a random number between 1 and .85 each time a Pokemon attacks. This means that the actual damage done will change by a small amount every time the attack is selected. For the purposes of these calculations, I sided with simplicity and set it to 1. When looking at types themselves, further simplifications had to be made. Namely, it would be assumed that the attacker's Attack stat and Base Power of its moves would be constant for all 17 types, both physical and special. X-Act used 300 Attack and 80 Base Power in his calculations, but I felt that 80 Base Power was too low for this purpose. When looking at single types, it would be safe to assume that a Mono-Attacker would usually be utilizing a STAB move, so I upped the Base Power to 120 to account for that. Also, 299 is the stat of a base 100 Attack stat Pokemon with 252 EVs and a neutral nature (think Jolly/Timid), so I kept the 300 for simplicity. Plugging in these numbers gives the updated formula.</p>
    
    <pre>%Damage=30240*Type_Eff/(Opp_[Sp]Def*Opp_HP)</pre>
    
    <p>Now, since the maximum amount of percent damage done by any single attack is the entire opponent's HP, I put a cap on this formula. This was done by taking the minimum of the percent damage and 1. I did this to prevent types like Fire from being at the top of the list chiefly because they exploited 4x weaknesses (Escavalier, Durant, Snover, etc). Finally, usage needed to be factored into the formula so that hitting common threats like Slowking hard is more important than hitting something like Klinklang hard. The overall average percent came from summing up all the resulting values for each prevalent Pokemon in the metagame. This leads to the final formula.</p>
    
    <pre>Avg_Damage=sum(%Usage*min(30240*Type_Eff/(Opp_[Sp]Def*Opp_HP),1))</pre>
    
    <h2>Changing Things Up</h2>
    
    <p>The numbers given out by this formula in and of itself were useful. However, I began to notice that Dragon-type attacks were surprisingly low on my initial rankings despite the lack of Steel-types in RU, and that Ground-type attacks, despite the numerous amount of Levitators and Flying-types, were quite high on the list. This made no sense from what I had heard from observing the posts of numerous competent battlers, so I set out to change the formula to make more viable conclusions. Fairly quickly I found that whenever offense was mentioned, it was always relative to how many hits it took to KO the opponent rather than the overall damage given. I had a minor epiphany, as I realized 60% and 90% were both essentially the same output in a 1v1 scenario, both being 2HKOs. However, in the previous formula, doing 90% attack would contribute to a significantly better score than doing 60%. This led to the scores rewarding super effective coverage more than solid neutral coverage. It wasn't hard to change the formula, I just had to take the inverse of the current formula and round up, creating what I am going to call "Clicks to KO" (CKO for short), represented by:</p>
    
    <pre>CKO=ceiling(1/maximum(Avg_Damage,0.1))/Accuracy</pre>
    
    <p>There were a few errors regarding immunities (because they dealt no damage), so I took the maximum of the average damage and 0.1, essentially setting the CKO of immunities and extremely weak hits to 10. I chose 10 as my minimum so types that have one or two Pokemon immune to it aren't automatically the worst attacking types (think Water Absorb). Also, since I am assuming the moves used had 100% accuracy for these calculations, the CKO is essentially the usage-weighted average hits to KO.</p>
    
    <p>I then summed up the resulting amount (as it was still weighted by usage) and got the CKO for each type on both the physical and special sides. The results can be found below.</p>
    
    <table class="sortable">
    <thead><tr>
    <th>Rank</th>
    <th>Type</th>
    <th>CKO</th>
    </tr></thead>
    <tbody><tr>
    <td>1</td><td>Special Dragon</td><td>3.072</td>
    </tr><tr class="a">
    <td>2</td><td>Special Dark</td><td>3.117</td>
    </tr><tr>
    <td>3</td><td>Special Flying</td><td>3.161</td>
    </tr><tr class="a">
    <td>4</td><td>Special Rock</td><td>3.165</td>
    </tr><tr>
    <td>5</td><td>Physical Flying</td><td>3.261</td>
    </tr><tr class="a">
    <td>6</td><td>Physical Dragon</td><td>3.311</td>
    </tr><tr>
    <td>7</td><td>Physical Rock</td><td>3.367</td>
    </tr><tr class="a">
    <td>8</td><td>Special Ghost</td><td>3.379</td>
    </tr><tr>
    <td>9</td><td>Physical Dark</td><td>3.379</td>
    </tr><tr class="a">
    <td>10</td><td>Special Ice</td><td>3.468</td>
    </tr><tr>
    <td>11</td><td>Special Bug</td><td>3.485</td>
    </tr><tr class="a">
    <td>12</td><td>Special Water</td><td>3.518</td>
    </tr><tr>
    <td>13</td><td>Special Fire</td><td>3.566</td>
    </tr><tr class="a">
    <td>14</td><td>Physical Ice</td><td>3.573</td>
    </tr><tr>
    <td>15</td><td>Physical Water</td><td>3.595</td>
    </tr><tr class="a">
    <td>16</td><td>Physical Bug</td><td>3.666</td>
    </tr><tr>
    <td>17</td><td>Physical Fire</td><td>3.687</td>
    </tr><tr class="a">
    <td>18</td><td>Physical Ghost</td><td>3.738</td>
    </tr><tr>
    <td>19</td><td>Special Steel</td><td>3.772</td>
    </tr><tr class="a">
    <td>20</td><td>Special Normal</td><td>3.774</td>
    </tr><tr>
    <td>21</td><td>Special Fighting</td><td>3.825</td>
    </tr><tr class="a">
    <td>22</td><td>Special Psychic</td><td>3.878</td>
    </tr><tr>
    <td>23</td><td>Physical Fighting</td><td>3.927</td>
    </tr><tr class="a">
    <td>24</td><td>Special Electric</td><td>3.969</td>
    </tr><tr>
    <td>25</td><td>Special Ground</td><td>3.997</td>
    </tr><tr class="a">
    <td>26</td><td>Physical Normal</td><td>4.001</td>
    </tr><tr>
    <td>27</td><td>Special Grass</td><td>4.017</td>
    </tr><tr class="a">
    <td>28</td><td>Physical Electric</td><td>4.021</td>
    </tr><tr>
    <td>29</td><td>Physical Steel</td><td>4.031</td>
    </tr><tr class="a">
    <td>30</td><td>Special Poison</td><td>4.033</td>
    </tr><tr>
    <td>31</td><td>Physical Poison</td><td>4.037</td>
    </tr><tr class="a">
    <td>32</td><td>Physical Psychic</td><td>4.038</td>
    </tr><tr>
    <td>33</td><td>Physical Grass</td><td>4.124</td>
    </tr><tr class="a">
    <td>34</td><td>Physical Ground</td><td>4.131</td>
    </tr></table>
    
    <p>As I suspected, Dragon-type moves, having very little to resist them, were at the top of the list and Ground-types, with many Pokemon immune to them, were at the bottom. Does this mean that Earthquake is a bad move? No. This list is assuming a mono-attacking set, so having numerous Pokemon immune to your STAB move is a major downside.</p>
    
    <h2>Adding Another Move</h2>
    
    <p>Now that I had single-move coverage figured out, I browsed through the old Pokemetrics forums some more, and came across a thread by Dragontamer. Those that want to read his work can go <a href="/forums/threads/double-type-attack-combos-brute-force-counts.35684/">here</a>. I thought it was fascinating, so I figured that I would apply it to the CKO. Since the original formula summed up the CKOs for each Pokemon, to account for two-move coverage I simply took the minimum CKO between the two types and summed those up. The results for those numbers are here:</p>
    
    <textarea cols="100" rows="10" readonly="readonly">
    1 Special Fighting Special Ghost 2.387
    2 Special Fire Special Ghost 2.403
    3 Special Dark Special Fighting 2.452
    4 Physical Ground Physical Ice 2.465
    5 Special Ghost Special Ground 2.468
    6 Special Fighting Special Flying 2.471
    7 Physical Fighting Physical Flying 2.479
    8 Physical Fire Physical Ghost 2.491
    9 Special Ground Special Rock 2.496
    10 Physical Fire Physical Ground 2.496
    11 Physical Fighting Physical Ghost 2.502
    12 Special Grass Special Rock 2.511
    13 Special Dark Special Ground 2.515
    14 Physical Flying Physical Grass 2.521
    15 Special Dark Special Fire 2.521
    16 Special Flying Special Grass 2.532
    17 Physical Ghost Physical Ground 2.535
    18 Special Fire Special Ground 2.535
    19 Physical Dark Physical Fighting 2.540
    20 Special Ghost Special Water 2.542
    21 Physical Ground Physical Rock 2.546
    22 Special Ground Special Ice 2.551
    23 Physical Flying Physical Ground 2.552
    24 Physical Dark Physical Ground 2.555
    25 Physical Bug Physical Water 2.561
    26 Physical Flying Physical Water 2.563
    27 Special Fighting Special Rock 2.566
    28 Special Bug Special Water 2.570
    29 Special Fire Special Rock 2.573
    30 Special Ghost Special Rock 2.574
    31 Physical Dark Physical Fire 2.584
    32 Special Flying Special Ground 2.586
    33 Physical Grass Physical Rock 2.588
    34 Physical Fighting Physical Ice 2.604
    35 Special Flying Special Ghost 2.608
    36 Special Dark Special Flying 2.608
    37 Special Flying Special Rock 2.608
    38 Physical Fighting Physical Rock 2.613
    39 Special Flying Special Water 2.618
    40 Special Electric Special Fire 2.622
    41 Physical Electric Physical Fire 2.627
    42 Special Dark Special Water 2.631
    43 Special Ghost Special Ice 2.633
    44 Physical Electric Physical Ice 2.636
    45 Physical Ghost Physical Water 2.636
    46 Special Electric Special Ghost 2.637
    47 Physical Fire Physical Rock 2.639
    48 Special Fighting Special Ice 2.639
    49 Special Ice Special Rock 2.646
    50 Special Bug Special Electric 2.648
    51 Physical Bug Physical Ground 2.651
    52 Special Dragon Special Fire 2.654
    53 Special Electric Special Ice 2.660
    54 Physical Dragon Physical Fire 2.661
    55 Special Bug Special Fighting 2.663
    56 Special Electric Special Fighting 2.663
    57 Physical Fire Physical Grass 2.665
    58 Special Bug Special Ground 2.667
    59 Physical Fighting Physical Fire 2.671
    60 Special Dragon Special Fighting 2.673
    61 Special Rock Special Water 2.674
    62 Physical Bug Physical Fighting 2.676
    63 Special Dark Special Electric 2.702
    64 Physical Dark Physical Water 2.706
    65 Special Bug Special Rock 2.708
    66 Special Electric Special Flying 2.708
    67 Physical Ground Physical Poison 2.710
    68 Special Dragon Special Ground 2.711
    69 Physical Bug Physical Electric 2.713
    70 Special Fighting Special Fire 2.714
    71 Physical Electric Physical Fighting 2.717
    72 Physical Dragon Physical Ground 2.720
    73 Physical Dragon Physical Fighting 2.723
    74 Special Fire Special Grass 2.725
    75 Special Electric Special Psychic 2.734
    76 Special Psychic Special Rock 2.735
    77 Special Bug Special Flying 2.739
    78 Special Bug Special Ghost 2.740
    79 Physical Fire Physical Psychic 2.740
    80 Physical Rock Physical Water 2.740
    81 Special Ground Special Poison 2.741
    82 Special Ground Special Steel 2.741
    83 Special Dark Special Ice 2.752
    84 Physical Ice Physical Rock 2.754
    85 Physical Electric Physical Flying 2.768
    86 Physical Poison Physical Water 2.769
    87 Physical Ground Physical Steel 2.770
    88 Special Ghost Special Steel 2.771
    89 Physical Flying Physical Ghost 2.775
    90 Physical Dark Physical Flying 2.775
    91 Physical Fighting Physical Grass 2.776
    92 Special Poison Special Water 2.776
    93 Special Bug Special Psychic 2.777
    94 Special Grass Special Ice 2.780
    95 Special Fire Special Flying 2.785
    96 Physical Flying Physical Rock 2.787
    97 Special Fire Special Psychic 2.788
    98 Special Dark Special Rock 2.790
    99 Physical Ghost Physical Ice 2.791
    100 Special Dragon Special Electric 2.793
    101 Physical Electric Physical Ghost 2.795
    102 Special Electric Special Rock 2.796
    103 Physical Grass Physical Ice 2.797
    104 Special Flying Special Ice 2.799
    105 Special Dark Special Grass 2.800
    106 Special Dragon Special Water 2.805
    107 Special Electric Special Ground 2.806
    108 Special Fighting Special Grass 2.811
    109 Physical Fire Physical Flying 2.815
    110 Special Fighting Special Water 2.816
    111 Special Dragon Special Rock 2.816
    112 Physical Dragon Physical Water 2.822
    113 Physical Electric Physical Psychic 2.827
    114 Special Dragon Special Flying 2.829
    115 Special Ghost Special Poison 2.830
    116 Physical Dark Physical Electric 2.833
    117 Physical Electric Physical Ground 2.837
    118 Special Normal Special Water 2.839
    119 Physical Fighting Physical Water 2.840
    120 Physical Ghost Physical Rock 2.841
    121 Special Ghost Special Grass 2.841
    122 Special Ground Special Water 2.842
    123 Special Flying Special Psychic 2.846
    124 Special Bug Special Fire 2.847
    125 Special Dragon Special Grass 2.847
    126 Physical Bug Physical Rock 2.848
    127 Physical Ground Physical Psychic 2.848
    128 Special Rock Special Steel 2.852
    129 Special Fire Special Normal 2.852
    130 Special Ground Special Psychic 2.855
    131 Physical Ground Physical Water 2.855
    132 Physical Normal Physical Water 2.856
    133 Special Bug Special Dragon 2.861
    134 Physical Psychic Physical Water 2.863
    135 Special Dragon Special Ghost 2.866
    136 Special Dragon Special Ice 2.867
    137 Special Ghost Special Psychic 2.870
    138 Physical Bug Physical Flying 2.871
    139 Physical Bug Physical Psychic 2.881
    140 Physical Fire Physical Normal 2.881
    141 Special Grass Special Normal 2.881
    142 Physical Fire Physical Water 2.882
    143 Physical Grass Physical Psychic 2.883
    144 Special Grass Special Psychic 2.884
    145 Physical Dark Physical Ice 2.885
    146 Special Dark Special Steel 2.886
    147 Special Fighting Special Poison 2.890
    148 Physical Flying Physical Ice 2.894
    149 Special Dark Special Poison 2.895
    150 Physical Dark Physical Grass 2.895
    151 Special Normal Special Rock 2.896
    152 Physical Bug Physical Fire 2.896
    153 Physical Dragon Physical Grass 2.898
    154 Special Ghost Special Normal 2.900
    155 Physical Ice Physical Water 2.901
    156 Physical Fighting Physical Poison 2.902
    157 Special Fire Special Poison 2.904
    158 Physical Dragon Physical Electric 2.909
    159 Special Ground Special Normal 2.911
    160 Physical Psychic Physical Rock 2.914
    161 Special Flying Special Steel 2.915
    162 Physical Ground Physical Normal 2.919
    163 Special Bug Special Ice 2.921
    164 Special Psychic Special Water 2.925
    165 Physical Electric Physical Rock 2.929
    166 Special Grass Special Poison 2.931
    167 Special Dark Special Dragon 2.931
    168 Physical Grass Physical Normal 2.932
    169 Special Dark Special Psychic 2.935
    170 Special Poison Special Rock 2.936
    171 Special Fire Special Water 2.938
    172 Special Fighting Special Steel 2.940
    173 Special Ice Special Normal 2.941
    174 Physical Grass Physical Ground 2.943
    175 Special Ice Special Water 2.951
    176 Special Electric Special Normal 2.951
    177 Physical Bug Physical Ghost 2.952
    178 Physical Dragon Physical Flying 2.958
    179 Physical Flying Physical Psychic 2.960
    180 Special Bug Special Grass 2.961
    181 Physical Grass Physical Poison 2.962
    182 Physical Ghost Physical Grass 2.963
    183 Physical Dragon Physical Ice 2.964
    184 Physical Fighting Physical Steel 2.965
    185 Special Dark Special Normal 2.965
    186 Special Ice Special Poison 2.968
    187 Special Ice Special Psychic 2.969
    188 Physical Fire Physical Poison 2.971
    189 Special Bug Special Dark 2.977
    190 Physical Flying Physical Steel 2.984
    191 Special Fighting Special Ground 2.986
    192 Special Dark Special Ghost 2.988
    193 Special Grass Special Water 2.992
    194 Physical Bug Physical Grass 2.994
    195 Physical Dark Physical Rock 2.997
    196 Physical Grass Physical Water 2.999
    197 Physical Ghost Physical Steel 3.003
    198 Special Electric Special Steel 3.006
    199 Physical Ice Physical Psychic 3.008
    200 Physical Bug Physical Dragon 3.010
    201 Special Grass Special Ground 3.029
    202 Special Electric Special Poison 3.036
    203 Special Electric Special Water 3.038
    204 Physical Dragon Physical Rock 3.041
    205 Special Dragon Special Steel 3.043
    206 Physical Rock Physical Steel 3.045
    207 Physical Ice Physical Normal 3.051
    208 Special Bug Special Steel 3.052
    209 Special Grass Special Steel 3.053
    210 Physical Bug Physical Ice 3.061
    211 Physical Electric Physical Poison 3.061
    212 Physical Electric Physical Water 3.062
    213 Special Bug Special Normal 3.066
    214 Physical Ghost Physical Poison 3.066
    215 Special Dragon Special Psychic 3.068
    216 Physical Fighting Physical Ground 3.070
    217 Physical Electric Physical Normal 3.074
    218 Special Electric Special Grass 3.083
    219 Physical Fighting Physical Psychic 3.088
    220 Special Dragon Special Poison 3.091
    221 Physical Ice Physical Poison 3.097
    222 Physical Dark Physical Steel 3.099
    223 Special Normal Special Steel 3.102
    224 Physical Ghost Physical Psychic 3.103
    225 Special Bug Special Poison 3.104
    226 Physical Dark Physical Poison 3.104
    227 Special Poison Special Psychic 3.109
    228 Special Flying Special Normal 3.114
    229 Physical Poison Physical Rock 3.119
    230 Special Poison Special Steel 3.119
    231 Special Fighting Special Psychic 3.119
    232 Physical Normal Physical Rock 3.129
    233 Physical Bug Physical Dark 3.130
    234 Physical Dragon Physical Ghost 3.130
    235 Physical Dark Physical Psychic 3.141
    236 Physical Grass Physical Steel 3.142
    237 Special Flying Special Poison 3.143
    238 Special Psychic Special Steel 3.146
    239 Special Fighting Special Normal 3.150
    240 Physical Electric Physical Grass 3.157
    241 Physical Ghost Physical Normal 3.164
    242 Physical Electric Physical Steel 3.165
    243 Physical Dark Physical Dragon 3.168
    244 Special Fire Special Ice 3.182
    245 Special Dragon Special Normal 3.186
    246 Special Steel Special Water 3.190
    247 Physical Bug Physical Steel 3.199
    248 Physical Dragon Physical Steel 3.200
    249 Physical Fire Physical Ice 3.201
    250 Physical Bug Physical Normal 3.201
    251 Physical Dark Physical Normal 3.202
    252 Physical Flying Physical Normal 3.203
    253 Physical Steel Physical Water 3.214
    254 Physical Fighting Physical Normal 3.215
    255 Special Fire Special Steel 3.215
    256 Physical Dragon Physical Psychic 3.222
    257 Physical Psychic Physical Steel 3.226
    258 Physical Flying Physical Poison 3.232
    259 Physical Fire Physical Steel 3.233
    260 Physical Poison Physical Psychic 3.235
    261 Physical Dragon Physical Poison 3.250
    262 Physical Bug Physical Poison 3.254
    263 Physical Normal Physical Steel 3.258
    264 Physical Dark Physical Ghost 3.267
    265 Physical Poison Physical Steel 3.274
    266 Special Normal Special Psychic 3.282
    267 Special Ice Special Steel 3.302
    268 Physical Ice Physical Steel 3.377
    269 Physical Dragon Physical Normal 3.385
    270 Physical Normal Physical Psychic 3.436
    271 Special Normal Special Poison 3.610
    272 Physical Normal Physical Poison 3.727
    </textarea>
    
    <p>As you can see, the combination of specially based Ghost and Fighting attacks, known for being unresisted against all current Pokemon, is the best theoretical STAB combination in this metagame. Interestingly, the Ghost and Fire STAB combination is close behind, despite both types being resisted by Crawdaunt, a decently common Pokemon in RU. This implies that the super effective coverage provided by these types is enough to offset that one Pokemon. Another interesting note is the numbers here are generally less than the numbers in the previous table, which makes sense, since two-move coverage is always better than one-move coverage.</p>
    
    <p>Finally, I wanted to incorporate the possibility of having one STAB move with a non-STAB coverage move. It is logical to assume that a hypothetical Normal / Poison type would be better off with a coverage move over one of their STABs, and it also accounts for two-move coverage on monotype Pokemon like Uxie, Lilligant, and Cryogonal. The method for this value is almost the same as for two STABs, except the non-STAB type has its damage multiplied by 2/3.</p>
    
    <textarea cols="100" rows="10" readonly="readonly">
    49 STAB Physical Bug Physical Water 2.949
    97 STAB Physical Bug Physical Ground 3.038
    181 STAB Physical Bug Physical Rock 3.130
    194 STAB Physical Bug Physical Electric 3.140
    227 STAB Physical Bug Physical Fighting 3.179
    229 STAB Physical Bug Physical Psychic 3.181
    257 STAB Physical Bug Physical Flying 3.205
    285 STAB Physical Bug Physical Fire 3.243
    335 STAB Physical Bug Physical Ghost 3.300
    396 STAB Physical Bug Physical Dragon 3.375
    409 STAB Physical Bug Physical Grass 3.390
    416 STAB Physical Bug Physical Dark 3.403
    417 STAB Physical Bug Physical Ice 3.403
    446 STAB Physical Bug Physical Normal 3.448
    458 STAB Physical Bug Physical Poison 3.467
    461 STAB Physical Bug Physical Steel 3.471
    40 STAB Physical Dark Physical Fire 2.934
    43 STAB Physical Dark Physical Fighting 2.938
    54 STAB Physical Dark Physical Ground 2.965
    133 STAB Physical Dark Physical Water 3.080
    135 STAB Physical Dark Physical Flying 3.081
    221 STAB Physical Dark Physical Electric 3.176
    230 STAB Physical Dark Physical Grass 3.182
    278 STAB Physical Dark Physical Psychic 3.231
    286 STAB Physical Dark Physical Ice 3.243
    293 STAB Physical Dark Physical Rock 3.249
    317 STAB Physical Dark Physical Bug 3.275
    339 STAB Physical Dark Physical Poison 3.305
    341 STAB Physical Dark Physical Steel 3.307
    381 STAB Physical Dark Physical Normal 3.354
    382 STAB Physical Dark Physical Dragon 3.354
    392 STAB Physical Dark Physical Ghost 3.372
    31 STAB Physical Dragon Physical Fire 2.917
    78 STAB Physical Dragon Physical Fighting 3.004
    88 STAB Physical Dragon Physical Ground 3.022
    155 STAB Physical Dragon Physical Water 3.101
    211 STAB Physical Dragon Physical Grass 3.165
    252 STAB Physical Dragon Physical Flying 3.199
    260 STAB Physical Dragon Physical Electric 3.209
    272 STAB Physical Dragon Physical Bug 3.223
    284 STAB Physical Dragon Physical Ice 3.237
    290 STAB Physical Dragon Physical Rock 3.247
    336 STAB Physical Dragon Physical Ghost 3.300
    337 STAB Physical Dragon Physical Steel 3.301
    345 STAB Physical Dragon Physical Psychic 3.312
    350 STAB Physical Dragon Physical Poison 3.318
    353 STAB Physical Dragon Physical Dark 3.319
    404 STAB Physical Dragon Physical Normal 3.385
    87 STAB Physical Electric Physical Fire 3.015
    99 STAB Physical Electric Physical Ice 3.040
    228 STAB Physical Electric Physical Bug 3.180
    261 STAB Physical Electric Physical Fighting 3.209
    275 STAB Physical Electric Physical Flying 3.227
    303 STAB Physical Electric Physical Ground 3.256
    318 STAB Physical Electric Physical Psychic 3.277
    344 STAB Physical Electric Physical Ghost 3.310
    358 STAB Physical Electric Physical Dark 3.329
    359 STAB Physical Electric Physical Dragon 3.330
    386 STAB Physical Electric Physical Poison 3.360
    401 STAB Physical Electric Physical Grass 3.382
    421 STAB Physical Electric Physical Rock 3.410
    436 STAB Physical Electric Physical Water 3.440
    454 STAB Physical Electric Physical Normal 3.460
    511 STAB Physical Electric Physical Steel 3.590
    17 STAB Physical Fighting Physical Ghost 2.872
    38 STAB Physical Fighting Physical Dark 2.929
    93 STAB Physical Fighting Physical Flying 3.029
    117 STAB Physical Fighting Physical Fire 3.064
    136 STAB Physical Fighting Physical Ice 3.083
    167 STAB Physical Fighting Physical Rock 3.117
    169 STAB Physical Fighting Physical Electric 3.118
    212 STAB Physical Fighting Physical Bug 3.168
    276 STAB Physical Fighting Physical Grass 3.229
    300 STAB Physical Fighting Physical Dragon 3.254
    320 STAB Physical Fighting Physical Water 3.278
    373 STAB Physical Fighting Physical Steel 3.342
    413 STAB Physical Fighting Physical Psychic 3.395
    467 STAB Physical Fighting Physical Ground 3.476
    475 STAB Physical Fighting Physical Poison 3.494
    520 STAB Physical Fighting Physical Normal 3.623
    39 STAB Physical Fire Physical Grass 2.933
    46 STAB Physical Fire Physical Ground 2.946
    51 STAB Physical Fire Physical Electric 2.952
    147 STAB Physical Fire Physical Rock 3.096
    150 STAB Physical Fire Physical Ghost 3.099
    175 STAB Physical Fire Physical Fighting 3.124
    196 STAB Physical Fire Physical Dark 3.143
    207 STAB Physical Fire Physical Water 3.160
    226 STAB Physical Fire Physical Psychic 3.178
    249 STAB Physical Fire Physical Dragon 3.196
    291 STAB Physical Fire Physical Bug 3.248
    378 STAB Physical Fire Physical Flying 3.349
    422 STAB Physical Fire Physical Steel 3.411
    423 STAB Physical Fire Physical Normal 3.419
    452 STAB Physical Fire Physical Poison 3.456
    463 STAB Physical Fire Physical Ice 3.473
    4 STAB Physical Flying Physical Ground 2.777
    7 STAB Physical Flying Physical Fighting 2.802
    25 STAB Physical Flying Physical Grass 2.889
    27 STAB Physical Flying Physical Water 2.892
    82 STAB Physical Flying Physical Fire 3.010
    101 STAB Physical Flying Physical Electric 3.040
    149 STAB Physical Flying Physical Rock 3.096
    184 STAB Physical Flying Physical Dark 3.133
    185 STAB Physical Flying Physical Ghost 3.133
    192 STAB Physical Flying Physical Steel 3.139
    209 STAB Physical Flying Physical Ice 3.163
    215 STAB Physical Flying Physical Bug 3.170
    248 STAB Physical Flying Physical Psychic 3.196
    264 STAB Physical Flying Physical Dragon 3.212
    333 STAB Physical Flying Physical Normal 3.298
    334 STAB Physical Flying Physical Poison 3.300
    9 STAB Physical Ghost Physical Fighting 2.818
    30 STAB Physical Ghost Physical Fire 2.912
    66 STAB Physical Ghost Physical Ground 2.977
    120 STAB Physical Ghost Physical Water 3.066
    216 STAB Physical Ghost Physical Flying 3.171
    222 STAB Physical Ghost Physical Electric 3.177
    233 STAB Physical Ghost Physical Rock 3.184
    262 STAB Physical Ghost Physical Bug 3.210
    269 STAB Physical Ghost Physical Ice 3.216
    314 STAB Physical Ghost Physical Steel 3.267
    324 STAB Physical Ghost Physical Grass 3.282
    325 STAB Physical Ghost Physical Poison 3.290
    338 STAB Physical Ghost Physical Psychic 3.302
    369 STAB Physical Ghost Physical Normal 3.339
    370 STAB Physical Ghost Physical Dragon 3.339
    397 STAB Physical Ghost Physical Dark 3.376
    83 STAB Physical Grass Physical Fire 3.011
    103 STAB Physical Grass Physical Flying 3.043
    141 STAB Physical Grass Physical Rock 3.088
    251 STAB Physical Grass Physical Ice 3.198
    361 STAB Physical Grass Physical Ground 3.332
    405 STAB Physical Grass Physical Poison 3.386
    411 STAB Physical Grass Physical Fighting 3.394
    427 STAB Physical Grass Physical Psychic 3.424
    444 STAB Physical Grass Physical Water 3.445
    464 STAB Physical Grass Physical Dragon 3.473
    478 STAB Physical Grass Physical Bug 3.499
    482 STAB Physical Grass Physical Dark 3.508
    487 STAB Physical Grass Physical Normal 3.524
    489 STAB Physical Grass Physical Electric 3.526
    504 STAB Physical Grass Physical Ghost 3.577
    523 STAB Physical Grass Physical Steel 3.645
    18 STAB Physical Ground Physical Ice 2.872
    20 STAB Physical Ground Physical Rock 2.883
    28 STAB Physical Ground Physical Fire 2.910
    57 STAB Physical Ground Physical Ghost 2.967
    62 STAB Physical Ground Physical Dark 2.972
    79 STAB Physical Ground Physical Flying 3.005
    105 STAB Physical Ground Physical Bug 3.046
    129 STAB Physical Ground Physical Poison 3.077
    197 STAB Physical Ground Physical Dragon 3.144
    239 STAB Physical Ground Physical Water 3.188
    242 STAB Physical Ground Physical Electric 3.190
    244 STAB Physical Ground Physical Steel 3.193
    322 STAB Physical Ground Physical Psychic 3.281
    360 STAB Physical Ground Physical Normal 3.330
    395 STAB Physical Ground Physical Grass 3.374
    450 STAB Physical Ground Physical Fighting 3.454
    35 STAB Physical Ice Physical Ground 2.925
    94 STAB Physical Ice Physical Electric 3.031
    116 STAB Physical Ice Physical Grass 3.062
    124 STAB Physical Ice Physical Fighting 3.072
    254 STAB Physical Ice Physical Rock 3.202
    283 STAB Physical Ice Physical Water 3.235
    296 STAB Physical Ice Physical Ghost 3.250
    330 STAB Physical Ice Physical Dark 3.294
    354 STAB Physical Ice Physical Flying 3.322
    357 STAB Physical Ice Physical Psychic 3.329
    384 STAB Physical Ice Physical Bug 3.354
    388 STAB Physical Ice Physical Fire 3.366
    414 STAB Physical Ice Physical Dragon 3.398
    429 STAB Physical Ice Physical Normal 3.430
    443 STAB Physical Ice Physical Poison 3.445
    492 STAB Physical Ice Physical Steel 3.536
    289 STAB Physical Normal Physical Fire 3.246
    311 STAB Physical Normal Physical Water 3.263
    352 STAB Physical Normal Physical Ground 3.319
    355 STAB Physical Normal Physical Grass 3.325
    449 STAB Physical Normal Physical Ice 3.452
    469 STAB Physical Normal Physical Electric 3.480
    474 STAB Physical Normal Physical Rock 3.490
    481 STAB Physical Normal Physical Ghost 3.506
    486 STAB Physical Normal Physical Steel 3.517
    488 STAB Physical Normal Physical Dark 3.525
    496 STAB Physical Normal Physical Fighting 3.549
    499 STAB Physical Normal Physical Flying 3.565
    522 STAB Physical Normal Physical Dragon 3.641
    525 STAB Physical Normal Physical Bug 3.648
    533 STAB Physical Normal Physical Psychic 3.709
    543 STAB Physical Normal Physical Poison 3.946
    232 STAB Physical Poison Physical Ground 3.183
    280 STAB Physical Poison Physical Water 3.232
    349 STAB Physical Poison Physical Fighting 3.317
    368 STAB Physical Poison Physical Fire 3.338
    455 STAB Physical Poison Physical Grass 3.460
    484 STAB Physical Poison Physical Electric 3.512
    514 STAB Physical Poison Physical Rock 3.601
    516 STAB Physical Poison Physical Ice 3.613
    526 STAB Physical Poison Physical Flying 3.655
    527 STAB Physical Poison Physical Ghost 3.659
    529 STAB Physical Poison Physical Steel 3.677
    530 STAB Physical Poison Physical Dark 3.678
    536 STAB Physical Poison Physical Psychic 3.725
    538 STAB Physical Poison Physical Dragon 3.776
    539 STAB Physical Poison Physical Bug 3.788
    544 STAB Physical Poison Physical Normal 3.997
    246 STAB Physical Psychic Physical Bug 3.195
    259 STAB Physical Psychic Physical Fire 3.208
    316 STAB Physical Psychic Physical Electric 3.270
    329 STAB Physical Psychic Physical Ground 3.293
    376 STAB Physical Psychic Physical Grass 3.344
    393 STAB Physical Psychic Physical Water 3.373
    408 STAB Physical Psychic Physical Rock 3.389
    415 STAB Physical Psychic Physical Fighting 3.401
    428 STAB Physical Psychic Physical Ghost 3.426
    438 STAB Physical Psychic Physical Flying 3.440
    445 STAB Physical Psychic Physical Dark 3.445
    471 STAB Physical Psychic Physical Ice 3.484
    500 STAB Physical Psychic Physical Steel 3.566
    502 STAB Physical Psychic Physical Dragon 3.570
    528 STAB Physical Psychic Physical Poison 3.674
    534 STAB Physical Psychic Physical Normal 3.711
    45 STAB Physical Rock Physical Grass 2.945
    47 STAB Physical Rock Physical Ground 2.948
    61 STAB Physical Rock Physical Fighting 2.972
    72 STAB Physical Rock Physical Fire 2.983
    75 STAB Physical Rock Physical Water 2.995
    104 STAB Physical Rock Physical Flying 3.044
    160 STAB Physical Rock Physical Ice 3.107
    198 STAB Physical Rock Physical Psychic 3.148
    201 STAB Physical Rock Physical Ghost 3.154
    237 STAB Physical Rock Physical Bug 3.186
    258 STAB Physical Rock Physical Electric 3.207
    294 STAB Physical Rock Physical Steel 3.249
    304 STAB Physical Rock Physical Dark 3.257
    327 STAB Physical Rock Physical Poison 3.293
    328 STAB Physical Rock Physical Dragon 3.293
    340 STAB Physical Rock Physical Normal 3.307
    313 STAB Physical Steel Physical Ground 3.265
    465 STAB Physical Steel Physical Fighting 3.474
    468 STAB Physical Steel Physical Grass 3.480
    485 STAB Physical Steel Physical Rock 3.515
    491 STAB Physical Steel Physical Fire 3.530
    493 STAB Physical Steel Physical Ghost 3.545
    495 STAB Physical Steel Physical Electric 3.549
    508 STAB Physical Steel Physical Bug 3.584
    510 STAB Physical Steel Physical Dark 3.590
    513 STAB Physical Steel Physical Water 3.599
    517 STAB Physical Steel Physical Flying 3.617
    521 STAB Physical Steel Physical Psychic 3.635
    531 STAB Physical Steel Physical Poison 3.695
    535 STAB Physical Steel Physical Dragon 3.718
    537 STAB Physical Steel Physical Normal 3.730
    541 STAB Physical Steel Physical Ice 3.856
    50 STAB Physical Water Physical Bug 2.951
    77 STAB Physical Water Physical Flying 2.999
    128 STAB Physical Water Physical Fire 3.077
    165 STAB Physical Water Physical Ice 3.113
    179 STAB Physical Water Physical Poison 3.125
    199 STAB Physical Water Physical Ghost 3.152
    210 STAB Physical Water Physical Grass 3.163
    243 STAB Physical Water Physical Dark 3.191
    253 STAB Physical Water Physical Psychic 3.201
    287 STAB Physical Water Physical Electric 3.245
    305 STAB Physical Water Physical Rock 3.258
    309 STAB Physical Water Physical Dragon 3.261
    321 STAB Physical Water Physical Ground 3.280
    331 STAB Physical Water Physical Fighting 3.295
    346 STAB Physical Water Physical Normal 3.312
    448 STAB Physical Water Physical Steel 3.452
    41 STAB Special Bug Special Water 2.936
    86 STAB Special Bug Special Rock 3.013
    92 STAB Special Bug Special Ground 3.029
    114 STAB Special Bug Special Electric 3.060
    163 STAB Special Bug Special Flying 3.112
    168 STAB Special Bug Special Psychic 3.118
    173 STAB Special Bug Special Ghost 3.120
    213 STAB Special Bug Special Fighting 3.169
    255 STAB Special Bug Special Fire 3.205
    298 STAB Special Bug Special Dragon 3.252
    302 STAB Special Bug Special Ice 3.255
    306 STAB Special Bug Special Dark 3.258
    332 STAB Special Bug Special Grass 3.296
    362 STAB Special Bug Special Normal 3.333
    374 STAB Special Bug Special Steel 3.342
    380 STAB Special Bug Special Poison 3.351
    11 STAB Special Dark Special Fighting 2.843
    14 STAB Special Dark Special Fire 2.857
    24 STAB Special Dark Special Ground 2.887
    37 STAB Special Dark Special Flying 2.927
    68 STAB Special Dark Special Water 2.979
    80 STAB Special Dark Special Electric 3.005
    91 STAB Special Dark Special Grass 3.028
    102 STAB Special Dark Special Psychic 3.042
    122 STAB Special Dark Special Ice 3.071
    130 STAB Special Dark Special Rock 3.078
    159 STAB Special Dark Special Steel 3.106
    164 STAB Special Dark Special Poison 3.112
    166 STAB Special Dark Special Bug 3.116
    176 STAB Special Dark Special Ghost 3.125
    190 STAB Special Dark Special Normal 3.138
    191 STAB Special Dark Special Dragon 3.138
    19 STAB Special Dragon Special Fire 2.874
    36 STAB Special Dragon Special Fighting 2.926
    53 STAB Special Dragon Special Ground 2.964
    95 STAB Special Dragon Special Water 3.034
    107 STAB Special Dragon Special Electric 3.050
    110 STAB Special Dragon Special Rock 3.054
    111 STAB Special Dragon Special Grass 3.057
    115 STAB Special Dragon Special Ghost 3.061
    126 STAB Special Dragon Special Bug 3.075
    134 STAB Special Dragon Special Flying 3.080
    138 STAB Special Dragon Special Ice 3.083
    143 STAB Special Dragon Special Dark 3.093
    188 STAB Special Dragon Special Steel 3.135
    203 STAB Special Dragon Special Poison 3.154
    219 STAB Special Dragon Special Psychic 3.174
    235 STAB Special Dragon Special Normal 3.186
    73 STAB Special Electric Special Fire 2.984
    74 STAB Special Electric Special Ice 2.987
    148 STAB Special Electric Special Bug 3.096
    153 STAB Special Electric Special Fighting 3.100
    180 STAB Special Electric Special Ghost 3.130
    208 STAB Special Electric Special Dark 3.163
    214 STAB Special Electric Special Ground 3.169
    241 STAB Special Electric Special Dragon 3.190
    247 STAB Special Electric Special Psychic 3.195
    271 STAB Special Electric Special Flying 3.218
    299 STAB Special Electric Special Grass 3.254
    377 STAB Special Electric Special Normal 3.348
    379 STAB Special Electric Special Rock 3.349
    385 STAB Special Electric Special Poison 3.359
    387 STAB Special Electric Special Water 3.365
    430 STAB Special Electric Special Steel 3.430
    2 STAB Special Fighting Special Ghost 2.757
    13 STAB Special Fighting Special Dark 2.854
    109 STAB Special Fighting Special Flying 3.053
    131 STAB Special Fighting Special Rock 3.078
    146 STAB Special Fighting Special Electric 3.095
    170 STAB Special Fighting Special Ice 3.118
    182 STAB Special Fighting Special Fire 3.132
    217 STAB Special Fighting Special Bug 3.172
    282 STAB Special Fighting Special Dragon 3.234
    301 STAB Special Fighting Special Grass 3.255
    323 STAB Special Fighting Special Water 3.282
    365 STAB Special Fighting Special Steel 3.337
    453 STAB Special Fighting Special Ground 3.457
    473 STAB Special Fighting Special Psychic 3.488
    477 STAB Special Fighting Special Poison 3.497
    505 STAB Special Fighting Special Normal 3.580
    55 STAB Special Fire Special Electric 2.966
    63 STAB Special Fire Special Ground 2.973
    64 STAB Special Fire Special Grass 2.974
    76 STAB Special Fire Special Ghost 2.996
    100 STAB Special Fire Special Rock 3.040
    112 STAB Special Fire Special Dark 3.058
    205 STAB Special Fire Special Fighting 3.159
    220 STAB Special Fire Special Water 3.175
    224 STAB Special Fire Special Bug 3.178
    225 STAB Special Fire Special Dragon 3.178
    273 STAB Special Fire Special Psychic 3.225
    375 STAB Special Fire Special Flying 3.343
    391 STAB Special Fire Special Steel 3.368
    403 STAB Special Fire Special Normal 3.385
    418 STAB Special Fire Special Ice 3.405
    419 STAB Special Fire Special Poison 3.406
    3 STAB Special Flying Special Ground 2.768
    5 STAB Special Flying Special Fighting 2.778
    10 STAB Special Flying Special Grass 2.843
    21 STAB Special Flying Special Water 2.883
    44 STAB Special Flying Special Electric 2.943
    56 STAB Special Flying Special Fire 2.966
    58 STAB Special Flying Special Rock 2.968
    70 STAB Special Flying Special Dark 2.982
    71 STAB Special Flying Special Ghost 2.982
    98 STAB Special Flying Special Steel 3.039
    113 STAB Special Flying Special Ice 3.058
    118 STAB Special Flying Special Bug 3.065
    132 STAB Special Flying Special Psychic 3.079
    140 STAB Special Flying Special Dragon 3.087
    266 STAB Special Flying Special Normal 3.213
    279 STAB Special Flying Special Poison 3.231
    1 STAB Special Ghost Special Fighting 2.678
    6 STAB Special Ghost Special Fire 2.798
    22 STAB Special Ghost Special Ground 2.883
    48 STAB Special Ghost Special Water 2.949
    60 STAB Special Ghost Special Rock 2.970
    65 STAB Special Ghost Special Electric 2.976
    81 STAB Special Ghost Special Ice 3.009
    85 STAB Special Ghost Special Bug 3.013
    90 STAB Special Ghost Special Flying 3.027
    106 STAB Special Ghost Special Steel 3.050
    127 STAB Special Ghost Special Poison 3.075
    151 STAB Special Ghost Special Normal 3.100
    152 STAB Special Ghost Special Dragon 3.100
    156 STAB Special Ghost Special Grass 3.104
    161 STAB Special Ghost Special Psychic 3.108
    172 STAB Special Ghost Special Dark 3.120
    96 STAB Special Grass Special Rock 3.035
    123 STAB Special Grass Special Fire 3.071
    162 STAB Special Grass Special Flying 3.109
    206 STAB Special Grass Special Ice 3.159
    400 STAB Special Grass Special Poison 3.380
    402 STAB Special Grass Special Ground 3.383
    410 STAB Special Grass Special Dark 3.393
    433 STAB Special Grass Special Dragon 3.433
    435 STAB Special Grass Special Bug 3.435
    439 STAB Special Grass Special Fighting 3.442
    442 STAB Special Grass Special Psychic 3.445
    451 STAB Special Grass Special Ghost 3.455
    460 STAB Special Grass Special Water 3.469
    470 STAB Special Grass Special Normal 3.484
    480 STAB Special Grass Special Electric 3.504
    494 STAB Special Grass Special Steel 3.548
    8 STAB Special Ground Special Rock 2.813
    29 STAB Special Ground Special Ice 2.911
    32 STAB Special Ground Special Ghost 2.918
    42 STAB Special Ground Special Dark 2.936
    52 STAB Special Ground Special Fire 2.958
    145 STAB Special Ground Special Flying 3.095
    178 STAB Special Ground Special Bug 3.125
    183 STAB Special Ground Special Poison 3.133
    193 STAB Special Ground Special Dragon 3.140
    200 STAB Special Ground Special Steel 3.152
    218 STAB Special Ground Special Electric 3.173
    234 STAB Special Ground Special Water 3.185
    356 STAB Special Ground Special Normal 3.326
    399 STAB Special Ground Special Psychic 3.379
    432 STAB Special Ground Special Fighting 3.433
    466 STAB Special Ground Special Grass 3.474
    69 STAB Special Ice Special Ground 2.982
    108 STAB Special Ice Special Grass 3.052
    119 STAB Special Ice Special Electric 3.066
    154 STAB Special Ice Special Fighting 3.101
    171 STAB Special Ice Special Rock 3.119
    177 STAB Special Ice Special Ghost 3.125
    238 STAB Special Ice Special Dark 3.187
    288 STAB Special Ice Special Bug 3.246
    315 STAB Special Ice Special Water 3.269
    342 STAB Special Ice Special Flying 3.308
    351 STAB Special Ice Special Fire 3.318
    364 STAB Special Ice Special Psychic 3.336
    371 STAB Special Ice Special Dragon 3.339
    398 STAB Special Ice Special Normal 3.376
    412 STAB Special Ice Special Poison 3.395
    440 STAB Special Ice Special Steel 3.443
    231 STAB Special Normal Special Fire 3.183
    236 STAB Special Normal Special Water 3.186
    270 STAB Special Normal Special Grass 3.218
    307 STAB Special Normal Special Ghost 3.260
    308 STAB Special Normal Special Ground 3.261
    326 STAB Special Normal Special Dark 3.292
    343 STAB Special Normal Special Rock 3.309
    347 STAB Special Normal Special Electric 3.315
    348 STAB Special Normal Special Ice 3.316
    372 STAB Special Normal Special Steel 3.340
    441 STAB Special Normal Special Dragon 3.443
    447 STAB Special Normal Special Fighting 3.449
    472 STAB Special Normal Special Flying 3.488
    476 STAB Special Normal Special Bug 3.494
    503 STAB Special Normal Special Psychic 3.573
    540 STAB Special Normal Special Poison 3.809
    186 STAB Special Poison Special Ground 3.134
    250 STAB Special Poison Special Water 3.197
    281 STAB Special Poison Special Fighting 3.234
    292 STAB Special Poison Special Fire 3.249
    390 STAB Special Poison Special Grass 3.368
    431 STAB Special Poison Special Ghost 3.430
    434 STAB Special Poison Special Ice 3.434
    456 STAB Special Poison Special Electric 3.462
    457 STAB Special Poison Special Dark 3.463
    479 STAB Special Poison Special Rock 3.502
    490 STAB Special Poison Special Steel 3.527
    515 STAB Special Poison Special Dragon 3.607
    518 STAB Special Poison Special Bug 3.618
    519 STAB Special Poison Special Psychic 3.622
    524 STAB Special Poison Special Flying 3.647
    542 STAB Special Poison Special Normal 3.925
    158 STAB Special Psychic Special Bug 3.106
    187 STAB Special Psychic Special Electric 3.134
    245 STAB Special Psychic Special Ghost 3.195
    265 STAB Special Psychic Special Fire 3.212
    274 STAB Special Psychic Special Dark 3.227
    295 STAB Special Psychic Special Rock 3.250
    312 STAB Special Psychic Special Grass 3.264
    319 STAB Special Psychic Special Ground 3.278
    367 STAB Special Psychic Special Flying 3.338
    389 STAB Special Psychic Special Ice 3.366
    394 STAB Special Psychic Special Water 3.374
    420 STAB Special Psychic Special Fighting 3.409
    437 STAB Special Psychic Special Dragon 3.440
    462 STAB Special Psychic Special Steel 3.471
    498 STAB Special Psychic Special Poison 3.562
    506 STAB Special Psychic Special Normal 3.582
    12 STAB Special Rock Special Ground 2.846
    15 STAB Special Rock Special Grass 2.858
    16 STAB Special Rock Special Fighting 2.861
    23 STAB Special Rock Special Fire 2.884
    26 STAB Special Rock Special Flying 2.890
    33 STAB Special Rock Special Water 2.918
    34 STAB Special Rock Special Ghost 2.920
    67 STAB Special Rock Special Ice 2.978
    84 STAB Special Rock Special Psychic 3.011
    121 STAB Special Rock Special Bug 3.066
    137 STAB Special Rock Special Electric 3.083
    139 STAB Special Rock Special Dark 3.084
    142 STAB Special Rock Special Steel 3.093
    157 STAB Special Rock Special Dragon 3.105
    174 STAB Special Rock Special Normal 3.123
    195 STAB Special Rock Special Poison 3.141
    240 STAB Special Steel Special Ground 3.189
    363 STAB Special Steel Special Ghost 3.335
    366 STAB Special Steel Special Grass 3.337
    383 STAB Special Steel Special Rock 3.354
    406 STAB Special Steel Special Dark 3.387
    407 STAB Special Steel Special Electric 3.389
    424 STAB Special Steel Special Bug 3.420
    426 STAB Special Steel Special Fighting 3.423
    459 STAB Special Steel Special Fire 3.468
    483 STAB Special Steel Special Water 3.508
    497 STAB Special Steel Special Flying 3.554
    501 STAB Special Steel Special Poison 3.568
    507 STAB Special Steel Special Dragon 3.582
    509 STAB Special Steel Special Psychic 3.588
    512 STAB Special Steel Special Normal 3.594
    532 STAB Special Steel Special Ice 3.699
    59 STAB Special Water Special Bug 2.968
    89 STAB Special Water Special Ghost 3.026
    125 STAB Special Water Special Flying 3.075
    144 STAB Special Water Special Dark 3.094
    189 STAB Special Water Special Poison 3.136
    202 STAB Special Water Special Fire 3.154
    204 STAB Special Water Special Grass 3.158
    223 STAB Special Water Special Ice 3.177
    256 STAB Special Water Special Rock 3.205
    263 STAB Special Water Special Dragon 3.212
    267 STAB Special Water Special Ground 3.215
    268 STAB Special Water Special Electric 3.215
    277 STAB Special Water Special Fighting 3.230
    297 STAB Special Water Special Psychic 3.252
    310 STAB Special Water Special Normal 3.262
    425 STAB Special Water Special Steel 3.421
    </textarea>
    
    <p>This is arguably the most useful out of the three tables, as it now allows you to make certain choices given an attacker's movepool. The most obvious example of this is deciding on a Hidden Power type for Pokemon like Lilligant who use it as their only coverage move. Pokemon Showdown! automatically sets the Base Power of Hidden Power to 70, which is close to the 80 that is used in the calculation, so we can assume that the relative ranking of the CKOs will not change within a type group. Using the Lilligant example, we scroll down until we see STAB Special Grass, and the type listed in the other column is the best Hidden Power type, in this case, Hidden Power Rock.</p>
    
    <p>One last note: Since these scores are based on usage statistics, they will change as the new statistics come out each month.</p>
    uploaded http://www.smogon.com/bw/articles/ru_attacking_types

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