analysis

=Offense=
Physical:
1st: Lucy - High Jump Kick: 136
2nd: Vanilla - Head Smash: 130
3rd: Chiaki - High Jump Kick: 127
4th: Cotton - High Jump Kick: 121
5th: Belle - Tail Slap: 120
6th: Nikki - Earthquake: 91
7th: Lily - Return: 90
8th: Josh - Bug Bite: 88
9th: Sophia - Psyshock: 84
10th: Cheza - Acrobatics: 81
11th: Liberty - Psyshock: 75
12th: Sabrina - Psyshock: 74
13th: Micaiah - Psyshock: 66
14th: Ann - Fly: 55
15th: Rose - Acrobatics: 51
N/A: Gail - No contest
N/A: Kay - No contest
N/A: Sasha - No contest
N/A: Sammi - No contest

Special:
1st: Liberty - Fire Blast: 112
2rd: Sabrina - Fire Blast: 111
3nd: Kay - Petal Dance: 109
4th: Sophia - Psychic: 94
5th: Sasha - Night Daze: 91
6th: Gail - Grass Pledge: 90
7th: Ann - Dragon Pulse: 88
8th: Micaiah - Psychic: 73
9th: Rose - Water Pledge: 72
10th: Cheza - Thunderbolt: 70
11th: Sammi - Surf: 64
N/A: Lily - No contest
N/A: Josh - No contest
N/A: Vanilla - No contest
N/A: Lucy - No contest
N/A: Nikki - No contest
N/A: Cotton - No contest
N/A: Belle  - No contest
N/A: Chiaki  - No contest

=Defense=
Physical:
1st: Vanilla - 19.7%
2nd: Nikki - 25.9%
3rd: Sammi - 28%
4th: Micaiah - 30.8%
4th: Liberty - 30.8%
6th: Gail - 32.4%
6th: Ann - 32.4%
8th: Sophia - 46.2%
9th: Sabrina - 46.7%
10th: Lucy - 49.1%
11th: Cotton - 54.7%
12th: Kay - 55.3%
13th: Lily - 58.2%
14th: Josh - 59.7%
15th: Sasha - 63.9%
16th: Belle - 71.3%
17th: Chiaki - 71.8%
18th: Rose - 76.2%
19th: Cheza - 84.1%

Special:
1st: Sophia - 23.1%
2nd: Sammi - 26.2%
3rd: Ann - 28.7%
4th: Micaiah - 29.1%
5th: Liberty - 30.3%
6th: Gail - 32.4%
7th: Sabrina - 38.9%
8th: Vanilla - 47.4%
9th: Lucy - 48%
10th: Cotton - 48.4%
11th: Cheza - 50%
12th: Kay - 51%
13th: Lily - 52.5%
14th: Josh - 55%
15th: Rose - 55.9%
16th: Belle - 60.2%
17th: Chiaki - 61.4%
18th: Nikki - 63.8%
19th: Sasha - 72.9%

=Detailed=
Test case
Species: Mew (no type), 252Atk/252SpA, neutral nature
Offense: Listed attack; raw damage
Defense: Typeless 100-power attacks, physical and special; percentage
All pokemon at Lv50

Name - Species, Nature (+Stat -Stat)
Ability: Description.
Base HP| Atk|Def|SpA|SpD|Spe
IVs HP| Atk|Def|SpA|SpD|Spe
EVs HP| Atk|Def|SpA|SpD|Spe
Real HP| Atk|Def|SpA|SpD|Spe
Test damage Phys|Spec
Attack: Max damage (Category)
Ranking: PhyB|SpeB|PhyO|SpeO

Sophia - Gardevoir, Modest (+SpA -Atk)
Trace: Copies the foe's ability. Random foe in doubles/triples.
| 68| 65| 65|125|115| 80|
| 31| 20| 31| 31| 31| 31|
|240|---|---|200| 68|---|
|173| 72| 85|187|144|100|
46.2%/23.1%
Psyshock: 84 (Physical)
Psychic: 94 (Special)

Micaiah - Gardevoir, Bold (+Def -Atk)
Trace: Copies the foe's ability. Random foe in doubles/triples.
| 68| 65| 65|125|115| 80|
| 31| 15| 31| 31| 31| 21|
|252|---|252|---| 4 |---|
|175| 69|128|145|136| 95|
30.8%/29.1%
Psyshock: 66 (Physical)
Psychic: 73 (Special)

Gail - Serperior, Timid (+Spe -Atk)
Overgrow: Gail's Grass attacks are 50% stronger when she is at less than 1/3 of max HP.
| 82| 75| 95| 75| 95|113|
| 31| 31| 31| 31| 31| 31|
|200|---| 12| 84| 12|200|
|182| 85|117|106|117|173|
32.4%/32.4%
Grass Pledge: 90 (Special)
Crisis Grass Pledge: 135 (Special)

Lily - Furret, Jolly (+Spe -SpA)
Keen Eye: Immune to Accuracy debuffs.
| 85|106| 64| 45| 55|105|
| 27| 27| 11| 2 | 30| 29|
|---|252|---|---| 56|200|
|158|156| 74| 45| 82|163|
58.2%/52.5%
Return: 90 (Physical)

Josh - Kricketune, Sassy (+SpD -Spe)
Technician: Deals 50% more damage with any attack that has 60 power or less.
| 77|124| 51| 55| 51| 87|
| 1 | 27| 21| 4 | 23| 2 |
| 4 |252|---|---|---|252|
|169|174| 66| 62| 73| 83|
59.7%/55%
Bug Bite: 88 (Physical)

Rose - Simipour, Gentle (+SpD -Def)
Torrent: Rose's Water attacks are 50% stronger when she is at less than 1/3 of max HP.
| 75| 98| 63| 98| 63|101|
| 16| 8 | 3 | 17| 20| 28|
|---|128|---|128|---|252|
|143|123| 62|127| 85|151|
76.2%/55.9%
Water Pledge: 72 (Special)
Crisis Water Pledge: 106 (Special)
Acrobatics: 51 (Physical)

Sabrina - Ninetales, Naughty (+Atk -SpD)
Flash Fire: Immune to Fire attacks. When hit by the first Fire attack, Sabrina's Fire attacks become 50% stronger.
| 78| 61| 80|116|110|110|
| 31| 31| 21| 26| 24| 29|
| 4 |---|---|252|---|252|
|154| 89| 95|165|114|161|
46.7%/38.9%
Fire Blast: 111 (Special)
Flash Fire Blast: 165 (Special)
Psyshock: 74 (Physical)

Vanilla - Aggron, Impish (+Def -SpA)
Rock Head: Immune to recoil damage.
| 70|110|180| 50| 50| 40|
| 27| 19| 10| 4 | 1 | 7 |
|252|252|---|---| 4 |---|
|177|162|200| 80| 81| 70|
19.7%/47.4%
Head Smash: 130 (Physical)

Lucy - Blaziken, Brave (+Atk -Spe)
Blaze: Lucy's Fire attacks are 50% stronger when she is at less than 1/3 of max HP.
| 80|120| 70|110| 70| 85|
| 23| 28| 2 | 10| 4 | 13|
|252|252| 4 |---|---|---|
|183|187| 76|120| 77| 86|
49.1%/48%
High Jump Kick: 136 (Physical)

Kay - Lilligant, Timid (+Spe -Atk)
Own Tempo: Immune to confusion.
| 70| 60| 75|110| 75| 90|
| 9 | 0 | 14| 31| 31| 31|
| 56|---|---|252|---|200|
|141| 58| 87|162| 95|148|
55.3%/51%
Petal Dance: 109 (Special)

Liberty - Victini, Modest (+SpA -Atk)
Victory Star: Boosts all allies' accuracy by 1.1x while on the field, including Liberty's.
|100|100|100|100|100|100|
| 10| 22| 20| 29| 27| 29|
|104|---| 76|252| 76|100|
|178|104|124|166|128|132|
30.8%/30.3%
Fire Blast: 112 (Special)
Psyshock: 75 (Physical)

Nikki - Sandslash, Naughty (+Atk -SpD)
Sand Rush: Boosts Nikki's Speed by 50% when in a sandstorm.
| 85|100|130| 45| 55| 65|
| 1 | 26| 31| 1 | 14| 10|
|252|252| 4 |---|---|---|
|177|163|151| 50| 60| 75|
25.9%/63.8%
Earthquake: 91 (Physical)

Cotton - Lopunny, Adamant (+Atk -SpA)
Cute Charm: When hit by a contact attack, Cotton has a 30% chance to inflict infatuation on the attacker (if possible).
| 65|101| 84| 54| 96|105|
| 1 | 18| 20| 13| 24| 12|
| 4 |252|---|---|---|252|
|126|166| 99| 58|113|147|
54.7%/48.4%
High Jump Kick: 121 (Physical)

Sasha - Zoroark, Bold (+Def -Atk)
Illusion: When sent out, Sasha is disguised as the pokemon at the end of the team list. Negated when successfully hit by a damaging attack.
| 60|105| 60|120| 60|105|
| 26| 18| 16| 12| 10| 3 |
|---|---| 4 |252|---|252|
|133|107| 80|162| 70|143|
63.9%/72.9%
Night Daze: 91 (Special)

Sammi - Vaporeon, Bold (+Def -Atk)
Water Absorb: Absorbs Water attacks, healing Sammi by 25% of her max HP.
|130| 65| 60|110| 95| 65|
| 21| 10| 12| 8 | 13| 2 |
|252|---|200|---| 56|---|
|232| 67|105|119|113| 71|
28%/26.2%
Surf: 64 (Special)

Belle - Cinccino, Careful (+SpD -SpA)
Skill Link: Belle's multi-hit attacks will always hit the maximum number of times.
| 75|105| 60| 65| 60|115|
| 2 | 24| 10| 21| 23| 15|
| 4 |252|---|---|---|252|
|136|153| 70| 72| 83|159|
71.3%/60.2%
Tail Slap: 120 (Physical)

Ann - Altaria, Mild (+SpA -Def)
Cloud Nine: Negates the effects of weather while on the field.
| 85| 80|105|110|110| 95|
| 23| 24| 30| 23| 24| 8 |
|252|---| 4 |252|---|---|
|188| 97|112|173|127|104|
32.4%/28.7%
Dragon Pulse: 88 (Special)
Fly: 55 (Physical)

Chiaki - Mienshao, Gentle (+SpD -Def)
Regenerator: Switching out heals Chiaki by 1/3 of her max HP.
| 65|125| 60| 95| 60|105|
| 19| 28| 26| 26| 20| 13|
| 4 |252|---|---|---|252|
|135|175| 70|113| 82|148|
71.8%/61.4%
High Jump Kick: 127 (Physical)

Cheza - Emolga, Gentle (+SpD -Def)
Motor Drive: Absorbs Electric attacks, raising Cheza's speed by 1 stage.
| 55| 95| 60|100| 90|115|
| 11| 28| 20| 21| 19| 30|
|---|128|---|128|---|252|
|120|130| 67|131|114|166|
84.1%/50%
Thunderbolt: 70 (Special)
Acrobatics: 81 (Physical)