Mathematically Determining the Attacking Types of RU

Introduction

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 here. Fascinated by his work, I took it upon myself to apply his research to the RU tier.

What X-Act Had Done

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:

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

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

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

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.

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

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.

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

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.

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

Changing Things Up

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:

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

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.

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.

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

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.

Adding Another Move

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 here. 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:

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

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.

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.

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

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.

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

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