#### X-Act

##### np: Biffy Clyro - Shock Shock

What is

**correlation**, though? Two Pokemon's usages are said to

**correlate**if the usage increase or decrease of one of them affects the usage increase or decrease of the other. There are two types of correlation:

**direct correlation**and

**inverse correlation**.

Two Pokemon's usages are said to exhibit

**direct correlation**if, when the usage of the first Pokemon

**increases**, the usage of the second one

**increases**as well by roughly the same margin, and vice-versa. Two Pokemon's usages are said to exhibit inverse correlation if, when the usage of the first Pokemon

**increases**, the usage of the second one

**decreases**by roughly the same margin, and vice-versa.

In statistics, there is an important measure of correlation called Pearson's product-moment correlation coefficient. I didn't use this method of correlation, however; I used a simpler method. What I did was simply to find the difference of (i.e. subtract) the increase or decrease of a Pokemon's usage in the last 6 months from the increase or decrease in usage of the other Pokemon. If this subtraction is quite small, the Pokemon would exhibit usage correlation.

I analysed the top 100 Pokemon used in the Standard metagame and the top 50 Pokemon used in the Uber metagame. The reason why the UU metagame was not accounted for is that we don't have enough statistics for its metagame yet to formulate a good correlation analysis out of it.

Here are the results.

Standard Metagame Correlation:

Code:

```
Abomasnow
Direct: Froslass, Moltres
Inverse: Rotom-H
Absol:
Direct: None
Inverse: None
Aerodactyl:
Direct: None
Inverse: Crobat, Forretress, Skarmory
Alakazam
Direct: Mismagius
Inverse: Umbreon
Ambipom
Direct: None
Inverse: None
Arcanine
Direct: Honchkrow, Registeel, Sceptile
Inverse: Dugtrio, Gardevoir, Magmortar
Azelf
Direct: Weavile
Inverse: None
Azumarill
Direct: Blastoise
Inverse: None
Blastoise
Direct: Azumarill, Porygon2
Inverse: None
Blaziken
Direct: Rampardos
Inverse: None
Blissey
Direct: None
Inverse: None
Breloom
Direct: None
Inverse: None
Bronzong
Direct: Heatran, Suicune
Inverse: None
Cacturne
Direct: Froslass
Inverse: Crobat
Celebi:
Direct: None
Inverse: None
Charizard
Direct: None
Inverse: None
Claydol
Direct: None
Inverse: None
Clefable
Direct: Walrein
Inverse: None
Cresselia
Direct: None
Inverse: None
Crobat
Direct: None
Inverse: Aerodactyl, Cacturne, Electrode, Kabutops
Donphan
Direct: None
Inverse: None
Dragonite
Direct: None
Inverse: None
Dugtrio
Direct: Magmortar
Inverse: Arcanine, Staraptor
Dusknoir
Direct: None
Inverse: None
Electivire:
Direct: None
Inverse: None
Electrode
Direct: Kabutops
Inverse: Crobat
Empoleon
Direct: Jolteon
Inverse: Rhyperior, Rotom-W
Espeon
Direct: None
Inverse: None
Flygon
Direct: None
Inverse: None
Forretress
Direct: Skarmory
Inverse: Aerodactyl
Froslass
Direct: Abomasnow, Cacturne
Inverse: None
Gallade
Direct: None
Inverse: None
Gardevoir
Direct: Magmortar
Inverse: Arcanine
Gengar
Direct: Skarmory
Inverse: None
Glaceon
Direct: None
Inverse: None
Gliscor
Direct: Ninjask
Inverse: None
Gyarados
Direct: Starmie
Inverse: None
Heatran
Direct: Bronzong
Inverse: Infernape
Heracross
Direct: None
Inverse: None
Hippowdon
Direct: None
Inverse: None
Hitmontop
Direct: None
Inverse: None
Honchkrow
Direct: Arcanine, Registeel, Sceptile, Typhlosion
Inverse: None
Houndoom
Direct: None
Inverse: None
Infernape
Direct: None
Inverse: Heatran
Jirachi
Direct: None
Inverse: None
Jolteon
Direct: Empoleon
Inverse: Rotom-W, Zapdos
Kabutops
Direct: Electrode
Inverse: Crobat
Kingdra
Direct: None
Inverse: None
Lanturn
Direct: None
Inverse: None
Latias
Direct: None
Inverse: None
Lucario
Direct: None
Inverse: Magnezone
Ludicolo
Direct: Tangrowth
Inverse: Porygon-Z, Roserade
Machamp
Direct: None
Inverse: None
Magmortar
Direct: Dugtrio, Gardevoir, Medicham
Inverse: Arcanine
Magnezone
Direct: None
Inverse: Lucario
Mamoswine
Direct: None
Inverse: None
Medicham
Direct: Magmortar, Spiritomb
Inverse: None
Metagross
Direct: None
Inverse: None
Milotic
Direct: None
Inverse: None
Mismagius
Direct: Alakazam
Inverse: Umbreon
Moltres
Direct: Abomasnow
Inverse: None
Ninjask
Direct: Gliscor, Smeargle
Inverse: None
Porygon2
Direct: Blastoise, Sceptile
Inverse: None
Porygon-Z
Direct: None
Inverse: Ludicolo
Raikou
Direct: Rampardos
Inverse: None
Rampardos
Direct: Blaziken, Raikou
Inverse: None
Registeel
Direct: Arcanine, Honchkrow
Inverse: None
Rhyperior
Direct: None
Inverse: Empoleon
Roserade
Direct: None
Inverse: Ludicolo, Rotom-C
Rotom-C
Direct: None
Inverse: Roserade
Rotom-H
Direct: None
Inverse: Abomasnow
Rotom-W
Direct: None
Inverse: Empoleon, Jolteon
Salamence
Direct: None
Inverse: None
Sceptile
Direct: Arcanine, Honchkrow, Porygon2
Inverse: None
Scizor
Direct: None
Inverse: None
Shaymin
Direct: None
Inverse: Snorlax, Vaporeon
Shuckle
Direct: Walrein
Inverse: None
Skarmory
Direct: Forretress, Gengar
Inverse: Aerodactyl
Slowbro
Direct: None
Inverse: None
Smeargle
Direct: Ninjask
Inverse: None
Snorlax
Direct: None
Inverse: Shaymin
Spiritomb
Direct: Medicham
Inverse: None
Staraptor
Direct: None
Inverse: Dugtrio
Starmie
Direct: Gyarados
Inverse: None
Suicune
Direct: Bronzong
Inverse: None
Swampert
Direct: None
Inverse: None
Tangrowth
Direct: Ludicolo
Inverse: None
Tentacruel
Direct: None
Inverse: None
Togekiss
Direct: None
Inverse: None
Torterra
Direct: None
Inverse: None
Typhlosion
Direct: Honchkrow
Inverse: None
Tyranitar
Direct: None
Inverse: None
Umbreon
Direct: None
Inverse: Alakazam, Mismagius, Weezing
Uxie
Direct: None
Inverse: None
Vaporeon
Direct: None
Inverse: Shaymin
Walrein
Direct: Shuckle, Clefable
Inverse: None
Weavile
Direct: Azelf
Inverse: None
Weezing
Direct: None
Inverse: Umbreon
Yanmega
Direct: None
Inverse: None
Zapdos
Direct: None
Inverse: Jolteon
```

Code:

```
Blissey
Direct: None
Inverse: None
Bronzong
Direct: None
Inverse: None
Celebi
Direct: None
Inverse: None
Darkrai
Direct: None
Inverse: None
Deoxys-S
Direct: Groudon
Inverse: None
Deoxys-A
Direct: None
Inverse: None
Deoxys-D
Direct: Gengar
Inverse: None
Dialga
Direct: None
Inverse: None
Forretress
Direct: None
Inverse: None
Garchomp
Direct: None
Inverse: None
Gengar
Direct: Deoxys-D
Inverse: None
Giratina
Direct: None
Inverse: None
Giratina-O
Direct: Weavile
Inverse: Metagross
Groudon
Direct: Deoxys-S
Inverse: None
Gyarados
Direct: Manaphy
Inverse: None
Heatran
Direct: None
Inverse: None
Heracross
Direct: None
Inverse: None
Ho-oh
Direct: Quagsire
Inverse: Primeape, Toxicroak
Infernape
Direct: Manaphy
Inverse: None
Jirachi
Direct: None
Inverse: None
Jumpluff
Direct: None
Inverse: None
Kingdra
Direct: None
Inverse: None
Kyogre
Direct: None
Inverse: None
Latias
Direct: Lugia
Inverse: None
Latios
Direct: None
Inverse: None
Lucario
Direct: None
Inverse: None
Ludicolo
Direct: None
Inverse: None
Lugia
Direct: Latias
Inverse: None
Manaphy
Direct: Gyarados, Infernape
Inverse: Primeape, Smeargle
Metagross
Direct: None
Inverse: Giratina-O
Mew
Direct: None
Inverse: None
Mewtwo
Direct: None
Inverse: None
Palkia
Direct: None
Inverse: None
Primeape
Direct: Smeargle
Inverse: Ho-oh, Manaphy
Quagsire
Direct: Ho-oh
Inverse: None
Rayquaza
Direct: None
Inverse: None
Registeel
Direct: None
Inverse: None
Roserade
Direct: None
Inverse: None
Salamence
Direct: None
Inverse: None
Scizor
Direct: None
Inverse: None
Shaymin-S
Direct: None
Inverse: None
Shedinja
Direct: None
Inverse: None
Skarmory
Direct: None
Inverse: None
Smeargle
Direct: Primeape
Inverse: Manaphy
Starmie
Direct: None
Inverse: None
Toxicroak
Direct: None
Inverse: Ho-oh
Tyranitar
Direct: None
Inverse: None
Weavile
Direct: Giratina-O
Inverse: None
Wobbuffet
Direct: None
Inverse: None
```

Heatran and Bronzong exhibit direct correlation in the Standard metagame.

Empoleon and Rhyperior exhibit inverse correlation in the Standard metagame.

Jolteon and Zapdos exhibit inverse correlation in the Standard metagame.

Manaphy and Infernape exhibit direct correlation in the Uber metagame.

Deoxys-D and Gengar exhibit direct correlation in the Uber metagame.

Metagross and Giratina-O exhibit inverse correlation in the Uber metagame.