Post on 18-Nov-2015
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The Versatile Pokemon
ContentsIntroduction3Context: Pokmon X and Y3Thesis of this Assignment3Defining Versatile3Constraints3Statistics (Each bast stat)4Pokmon with the highest Attack4Pokmon with the highest Special Attack5Pokmon with the highest Defence6Pokmon with the highest Special Defence7Pokmon with the highest Health Points (HP)8Pokmon with the highest SPeed9Formulas10A quick note10Calculating Speed, Attack, Sp. Attack, Defence, Sp. Defence and HP10Example10Calculating Damage11Example11Step 1: Process of Elimination by survivability and pure offensive12Finding the Average Attack, Special Attack, Defence and SPecial Defence12Attack Stat13Calculating Damage Dealt and Number of Turns to KO13Implementing formula to Attack Pokmon sample13Special Attack Stat15Calculating Damage Dealt and Number of Turns to KO15Implementing formula to Special Attack Pokmon sample16Defence Stat17Calculating survivability based on average Attack17Implementing formula to Defence Stat Pokmon sample18Special Defence Stat20Calculating survivability based on average SPecial Attack20Implementing formula to Special Defence Stat Pokmon sample20Step 2: Type effectiveness and move pool22Type effectiveness, how it works.22Attack Stat Effectiveness23.0The most Versatile Attack-based POkemon23.0Special Attack type Effectiveness24.1The most Versatile Special Attack-based POkemon24.1Defence Type Effectiveness25.2The most Versatile Special Attack-based POkemon25.2Conclusion/Findings26.3Most versatile Pokmon in terms of Attack26.3Most versatile Pokmon in terms of SPecial Attack26.3Most versatile Pokmon in terms of Defence26.3Most versatile Pokmon in terms of SPecial Defence26.3Bibliography27.4
IntroductionContext: Pokmon X and YPokmon X & Y is the sixth generation of the highly successful Pokmon video game franchise, selling over 10.5 million copies worldwide (VGChartz, 2014). The game is an adventure role-playing game (RPG), with turn-based battles with creatures known as Pokmon, in a 3-Dimensional, sandbox environment which the player navigates through by controlling the avatar. Thesis of this AssignmentThe aim of this assignment is to determine the most versatile Pokmon in accordance to each base stat present among 50 samples of Pokmon (highest in predetermined stat to lowest) within the current generation of games in the Pokmon franchise, Pokmon X & Y. The six stats that will be analysed will be Special Attack, Attack, Special Defence and Defence, in correlation with each Pokmons Health Points (For Defence, Special Defence) and Speed (For Attack, Special Attack).Defining VersatileA textbook definition of versatile would be The ability to adapt or be adapted into many different functions or activities (Oxford Dictionaries, 2014). For the purpose of this assignment, when defining versatile in context to Pokmon X & Y, it would be the aptitude of each Pokmon to adapt to a variety of different situations in battle, compared to similar Pokmon in the chosen stat.ConstraintsIn order to provide the most accurate results without any discrepancies, a number of constraints will be placed upon this assignment. ConstraintReason
A sample of 50 Pokmon will be taken for each stat.Top Pokmon of each stat, prevents the need to analyse Pokmon that have low stats in the chosen area.
Mega-Evolutions will not be included in the sample.Stat change to great will make discrepancies.
Natures, Effort Values and Individual Values will not be calculated. And decimal points will be rounded to the nearest whole number.It will deliver discrepancies into the collected data. And a large number of simulations will have to be developed.
In the last stage of elimination, the possible abilities of each Pokmon candidate will be analysed, and the ability that works best with the Pokmon will be used.As each Pokmon has access to 2-3 abilities, each one will be analysed to observe which ability best suits the Pokmon.
Legendary Pokmon will not be included in the sample.Stat values are too high compared to non-legendary Pokmon, will make discrepancies.
The sample will only contain fully evolved PokmonSo the values stay consistent.
HP will be directly correlated with Defence or Special Defence, and Speed will be directly correlated with Attack or Special AttackBecause of their relation to these stats, versatility of each Pokmon cannot be correctly correlated unless in relation.
Pokmon with two varying forms that activate in battles will not be calculateDiscrepancies in statistics.
Pokmon levels are set to 100, but maximum stats are not calculated, only the BASE stats,To assure the quality of the statistics gathered. And to compare the base stats brings no discrepancies.
Statistics (Each bast stat)Pokmon with the highest AttackPokmonAttackAverage Attack ((Sum of Attack values) / (Number of Pokmon)) = 129From this sample, we can determine the average of Attack stats, and therefore determine the number of turns it takes for the average Attack-based Pokmon to faint its opponent based on HP and Defence.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance = 92.8384Standard Deviation = Standard Deviation = 9.635269The Standard Deviation value is small in correlation with the Attack values of the Pokmon sample; therefore we can determine that the spread of the Attack values are small, preventing discrepancies in calculating the average data.
Rampardos165Heracross125
Slaking160Armaldo125
Haxorus147Sawk125
Rhyperior140Gallade125
Conkeldurr140Pinsir125
Darmanitan140Bisharp125
Archeops140Mienshao125
Excadrill135Pangoro124
Salamence135Golurk124
Gigalith135Emboar123
Metagross135Braviary123
Escavalier135Electivire123
Tyranitar134Tyrantrum121
Dragonite134Hariyama120
Mamoswine130Granbull120
Garchomp130Donphan120
Machamp130Staraptor120
Ursaring130Luxray120
Scizor130Blaziken120
Flareon130Golem120
Absol130Druddigon120
Breloom130Weavile120
Kingler130Sharpedo120
Honchkrow125Crawdunt120
Gyrados125Hitmonlee120
Pokmon with the highest Special Attack
PokmonSpecial Attack
Chandelure145Goodra110
Alakazam135Charizard109
Porygon-Z135Typhlosion109
Volcarona135Pyroar109
Gengar130Heliolisk109
Espeon130Samurott108
Magnezone130Musharna107
Glaceon130Maractus106
Exegguctor125Sunflora105
Gardevoir125Octillery105
Roserade125Sceptile105
Magmortar125Average Special Attack ((Sum of Special Attack values) / (Number of Pokmon)) = 116From this sample, we can determine the average of Special Attack stats, and therefore determine the number of turns it takes for the average Special Attack-based Pokmon to faint its opponent based on HP and Special Defence.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =91.1876Standard Deviation = Standard Deviation = 9.54922The Standard Deviation value is small in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Attack values are small, preventing discrepancies in calculating the average data.
Reuniculus125
Beheeyem125
Hydreigon125
Togekiss120
Zoroark120
Clawitzer 120
Yanmega116
Jynx115
Omastar115
Ampharos115
Cacturne115
Lucario115
Gorebyss114
Delphox114
Archeops112
Florges112
Empoleon111
Vileplume110
Vaporeon110
Jolteon110
Houndoom110
Blaziken110
Slamence110
Tangrowth110
Lilligant110
Vanilluxe110
Sylveon110
Pokmon with the highest DefencePokmonDefence
Shuckle230Durant112
Steelix200Glaceon110
Avalugg184Slowbro110
Cloyster180Tyranitar110
Aggron180Umbreon110
Bastiodon168Drapion 110
Carbink150Marowak110
Cofagrigus145Sandslash110
Probopass145Spiritomb108
Torkoal140Torterra105
Forretress140Mandibuzz105
Skarmory140
Dusknoir135
Carracosta133Average Defence ((Sum of Defence values) / (Number of Pokmon)) = 131From this sample, we can determine the average of Defence stats, and therefore determine the number of turns it takes for the average Defence-based Pokmon to faint in terms of opponents Attack and Speed stats.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =652.5264Standard Deviation = Standard Deviation 25.5446The Standard Deviation value is quote spread out in correlation with the Defence values of the Pokmon sample; therefore we can determine that the spread of the Defence of the sample Pokmon is 25.5446, therefore the discrepancies when comparing the stats is relatively moderate.
Ferrothorn131
Metagross130
Leafeon130
Gigalith130
Golem130
Rhyperior130
Relicanth130
Omastar125
Tangrowth125
Crustle125
Gliscor125
Chesnaught122
Gourgeist122
Weezing120
Magcargo120
Donphan120
Tyrantrum119
Hippowdon118
Bronzong116
Magnezone115
Klinklang115
Barbaracle115
Kingler115
Scrafty115
Sudowoodo115
Pokmon with the highest Special DefencePokmonSpecial Defence
Shuckle230Altaria105
Florges154Jellicent105
Carbink150Volcarona105
Probopass150Roserade105
Goodra150Mismagius105
Mantine140Vespiqueen 102
Bastiodon138Empoleon101
Dusknoir135Tyranitar100
Cryogonal135Meganium100
Blissey135Venasaur100
Umbreon130Gyrados100
Sylveon130Average Special Defence ((Sum of Special Defence values) / (Number of Pokmon)) = 119From this sample, we can determine the average of Special Defence stats, and therefore determine the number of turns it takes for the average Special Defence-based Pokmon to faint in terms of opponents Special Attack and Speed stats.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =460.24Standard Deviation = Standard Deviation 21.4532The Standard Deviation value is quote spread out in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Defence of the sample Pokmon is 21.4532, therefore the discrepancies when comparing the stats is relatively moderate.NOTE: to bring further insight into the increase of spread value of the Defence and Special Defence stats, the most likely reason is because of the Pokmon Shuckle, whose Defence and Special Defence has a 125,130 (respectively) difference of values from the lowest value Pokmon.
Milotic125
Dragalge123
Claydol120
Kecleon120
Mr. Mime120
Tentacruel120
Ferrothorn116
Bronzong116
Scrafty115
Togekiss115
Hypno115
Gardevoir115
Gallade115
Gothitelle110
Hitmontop110
Slowking110
Hitmonchan110
Grumpig110
Snorlax110
Flareon110
Hitmonlee110
Ledian110
Spiritomb108
Cradily107
Cofagrigus105
Escavalier 105
Blastoise105
Pokmon with the highest Health Points (HP)PokmonHP
Blissey255Tyranitar100
Wobbuffet190Noctowl100
Wailord170Swampert100
Alomomola165Swalot100
Snorlax160Azumarill100
Slaking150Braviary100
Drifblim150Dunsparce100
Hariyama144Relicanth100
Wigglytuff140Honchkrow100
Lapras130Tangrowth100
Vaporeon130Tropius99
Lanturn125Average HP ((Sum of HP values) / (Number of Pokmon)) = 119From this sample, we can determine the average of SHPstats, and therefore determine the number of turns it takes for the a Pokmon to faint, and will be used to calculate how many turns it takes for a Pokmon to faint an average Hp-Defence or Hp-Special Defence Pokmon. It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =814.6656Standard Deviation = Standard Deviation 28.54235The Standard Deviation value is quote spread out in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Defence of the sample Pokmon is 28.54235, therefore the discrepancies when comparing the stats is relatively moderate.
Aurorus123
Gogoat123
Thorh120
Musharna116
Amoonguss114
Gastrodon111
LickiLicky110
Mandibuzz110
Walrein110
Reuniclus110
Whiscash110
Emboar110
Excadrill110
Mamoswine110
Stunfisk109
Garchomp108
Hippowdon108
Muk105
Kangaskhan105
Seismitoad105
Conkeldurr105
Darmanitan105
Exploud104
Audino103
Skuntank103
Aromatisse101
Jellicent100
Pokmon with the highest SPeedPokmonSpeed
Ninjask160Cryogonal105
Accelgor145Mismagius105
Electrode140Lopunny105
Jolteon130Rapidash105
Crobat130Zoroark105
Aerodactyl130Manetric105
Talonflame126Mienshao105
Weavile125Delphox104
Swellow125Meowstic104
Noivern123Emolga103
Greninja122Garchomp102Average Speed ((Sum of Speed values) / (Number of Pokmon)) = 115From this sample, we can determine the average of Speed in the sample and therefore determine the number of turns it takes for the a Pokmon to faint, and will be used to calculate how likely the analysed Pokmon will go first or not, important for all stats present. It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =130.5856Standard Deviation = Standard Deviation 11.42741The Standard Deviation value is small in correlation with the Attack values of the Pokmon sample; therefore we can determine that the spread of the Attack values are small, preventing discrepancies in calculating the average data.
Alakazam120
Sceptile120
Dugtrio120
Hawlucha118
Whimsicott116
Zebstrike116
Starmie115
Ambipom115
Persian115
Cinccino115
Floatzel115
Swoobat114
Serperior113
Scolipede112
Purugly112
Jumpluff110
Espeon110
Raichu110
Gengar110
Tauros110
Frosslass110
Archeops110
Heliolisk109
Durant109
Infernape108
Galvantula108
Pyroar106
Liepard106
FormulasA quick noteBefore we write down the main formulas involved in calculating the potential of each Pokmon, its important to note down the basics of the game, the mechanics of battle go as followed:Special Attack effects Special Defence and HP (and vice versa)Attack effects Defence and HP (and vice versa)Speed determines which Pokmon moves firstThese are the main mechanics that determine the outcome of a battle.Calculating Speed, Attack, Sp. Attack, Defence, Sp. Defence and HPAccording to the many simulations ran both online and by myself to test which variables and stats are effected depending on the stat, The formula for calculating Speed, Attack, Sp. Attack, Defence and Sp. Defence of a Pokmon is:
However, as Individual Values (IV), Effort Values (EV) and Nature are not being calculated, and the level for each Pokmon is already set at 100, the formula can be simplified to be:
This formula also works with HP, as HP ignores Nature bonus, but as we have constraints, this formula can apply to calculating HP.ExampleCalculating the Speed of Weavile, which base stat is 125
Therefore Weaviles Speed stat at level 100 is 355
Calculating DamageAccording to the many simulations ran both online and by myself to test which variables and stats are effected when a Pokmon does damage to another Pokmon, it all comes down to this basic formula:
Where:a attack stat (Can be Special Attack or Attack, depending on the Pokmon and move in question)p attack power (the power of the move used)d defence stat(Can be Special Defence or Defence, depending on the Pokmon and move in question)s STAB (2 times the damage if Pokmon is using the same move as its type)w weakness/resistance of Pokmon depending on its typex Random number between 85 to 100, puts varying damage within the game For the purpose of this assignment, all Random numbers will be set to 100 to prevent discrepancies in the data gathered.
ExampleTrainer 1 orders his Hydreigon to use the move Dark Pulse (which has 80 attack power (not base stat)) on a enemy Gengar, soa 125 Special Attack (his base stat for Special Attack, and he is using a Special Attack move)p 80 Special Attack, Dark type move (as it is a special attack move)d 75 Special Defence (Gengars Special Defence Stat(not base stat), his resistance against the attack)s As Hydreigon used a move with correlates with one of its dual types, it does 1.5, if not its just 1w 2, as Gengar is weak to Dark type moves with one of his two types since he is a Ghost type, so it does two times the damagex 100 (reason stated above)
Hydreigon deals a total damage of 342, easily one hitting the Gengar with a 92 HP base stat (294 HP lvl 100).Step 1: Process of Elimination by survivability and pure offensiveThe first step of finding the most versatile Pokmon in Pokmon X & Y would be:For Attack and Special Attack:Each Pokmon is compared to the average Defence, Special Defence and HP of each stat, and depending on how many turns it takes faint a Pokmon, the Pokmon who take longer to faint the average defensive stat of the stat in question will be eliminated from the list.For Defence and Special Defence:Each Pokmon is compared to the average Attack, Special Attack and Speed of each stat, and depending on how many turn is takes for the Pokmon to faint, the Pokmon who lasts shortest against the average of the stat in question will be eliminated from the list.Pokmon types, ability and move pool will not be calculated in this step.Finding the Average Attack, Special Attack, Defence and SPecial DefenceWe know that the average attack of the sample of Pokmon with the highest Attack in the game is 127, so in accordance to the formula for calculating the amount of Attack the average Pokmon can do, we use the Stat formula:
Now same formula has to be used on the average of each stat which was calculated from the sample. With Special Attack = 116, Defence = 131, Average HP =119 and Special Defence = 119
367
Attack StatCalculating Damage Dealt and Number of Turns to KOWhen a Pokmon attacks someone using a power that correlates with the Attack stat, it is apparent that the Defence and HP stat are affected, so in order to determine how much damage the Pokmon does, the calculation of Attack stat will be compared to the average Defence (367). For the purpose of this calculation, the attack power will be 60, which is a suitable value to determine the average strength of a move.
Where a is the attack stat (at level 100) of the Pokmon in question, applying this formula to the Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes to faint the average Defence based Pokmon, to do so we will use the average HP stat (once again I emphasis the point, for the sake of finding versatility). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be
Implementing formula to Attack Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Attack stat, the results are shown as followed.PokmonAttack Base StatLvl 100 StatDamage (60 pow)Turns to KO
Rampardos165.00435.00626
Slaking160.00425.00606
Haxorus147.00399.00576
Rhyperior140.00385.00556
Conkeldurr140.00385.00556
Darmanitan140.00385.00556
Archeops140.00385.00556
Excadrill135.00375.00536
Salamence135.00375.00536
Gigalith135.00375.00536
Metagross135.00375.00536
Escavalier135.00375.00536
Tyranitar134.00373.00536
Dragonite134.00373.00536
Mamoswine130.00365.00527
Garchomp130.00365.00527
Machamp130.00365.00527
Ursaring130.00365.00527
Scizor130.00365.00527
Flareon130.00365.00527
Absol130.00365.00527
Breloom130.00365.00527
Kingler130.00365.00527
Honchkrow125.00355.00517
Gyrados125.00355.00517
Heracross125.00355.00517
Armaldo125.00355.00517
Sawk125.00355.00517
Gallade125.00355.00517
Pinsir125.00355.00517
Bisharp125.00355.00517
Mienshao125.00355.00517
Pangoro124.00353.00507
Golurk124.00353.00507
Emboar123.00351.00507
Braviary123.00351.00507
Electivire123.00351.00507
Tyrantrum121.00347.00507
Hariyama120.00345.00497
Granbull120.00345.00497
Donphan120.00345.00497
Staraptor120.00345.00497
Luxray120.00345.00497
Blaziken120.00345.00497
Golem120.00345.00497
Druddigon120.00345.00497
Weavile120.00345.00497
Sharpedo120.00345.00497
Crawdunt120.00345.00497
Hitmonlee120.00345.00497
It is apparent that in average the first 14 Pokmon take about 6 turns to faint the average defensive-HP type Pokmon, while the rest take around 7, therefore the Pokmon that take more than 7 turns are eliminated, leaving 15 Pokmon to analyse:PokmonAttack Base StatLvl 100 StatDamage (60 pow)Turns to KO
Rampardos165.00435.00626
Slaking160.00425.00606
Haxorus147.00399.00576
Rhyperior140.00385.00556
Conkeldurr140.00385.00556
Darmanitan140.00385.00556
Archeops140.00385.00556
Excadrill135.00375.00536
Salamence135.00375.00536
Gigalith135.00375.00536
Metagross135.00375.00536
Escavalier135.00375.00536
Tyranitar134.00373.00536
Dragonite134.00373.00536
Special Attack StatCalculating Damage Dealt and Number of Turns to KOWhen a Pokmon attacks someone using a power that correlates with the Special Attack stat, it is apparent that the Special Defence and HP stat are affected, so in order to determine how much damage the Pokmon does, the calculation of Special Attack stat will be compared to the average Special Defence (343). For the purpose of this calculation, the attack power will be 60, which is a suitable value to determine the average strength of a move.
Where a is the Special Attack stat (at level 100) of the Pokmon in question, applying this formula to the Special Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes to faint the average Special Defence and HP based Pokmon, to do so we will use the average HP stat. The formula that would best be used to find the number of turns it takes to faint a Pokmon would be
Implementing formula to Special Attack Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Attack stat, the results are shown as followed.PokmonSp. Attack Base StatLvl 100 StatDamage (60 pow)Turns to KO
Chandelure145395.00606
Alakazam135375.00576
Porygon-Z135375.00576
Volcarona135375.00576
Gengar130365.00566
Espeon130365.00566
Magnezone130365.00566
Glaceon130365.00566
Exegguctor125355.00546
Gardevoir125355.00546
Roserade125355.00546
Magmortar125355.00546
Reuniculus125355.00546
Beheeyem125355.00546
Hydreigon125355.00546
Togekiss120345.00537
Zoroark120345.00537
Clawitzer 120345.00537
Yanmega116337.00527
Jynx115335.00517
Omastar115335.00517
Ampharos115335.00517
Cacturne115335.00517
Lucario115335.00517
Gorebyss114333.00517
Delphox114333.00517
Archeops112329.00507
Florges112329.00507
Empoleon111327.00507
Vileplume110325.00507
Vaporeon110325.00507
Jolteon110325.00507
Houndoom110325.00507
Blaziken110325.00507
Slamence110325.00507
Tangrowth110325.00507
Lilligant110325.00507
Vanilluxe110325.00507
Sylveon110325.00507
Goodra110325.00507
Charizard109323.00497
Typhlosion109323.00497
Pyroar109323.00497
Heliolisk109323.00497
Samurott108321.00497
Musharna107319.00497
Maractus106317.00497
Sunflora105315.00487
Octillery105315.00487
Sceptile105315.00487
It is apparent that in average the first 15 Pokmon take about 6 turns to faint the average defensive-HP type Pokmon, while the rest take around 7, therefore the Pokmon that take more than 7 turns are eliminated, leaving 15 Pokmon to analyse:PokmonSp. Attack Base StatLvl 100 StatDamage (60 pow)Turns to KO
Chandelure145395.00606
Alakazam135375.00576
Porygon-Z135375.00576
Volcarona135375.00576
Gengar130365.00566
Espeon130365.00566
Magnezone130365.00566
Glaceon130365.00566
Exegguctor125355.00546
Gardevoir125355.00546
Roserade125355.00546
Magmortar125355.00546
Reuniculus125355.00546
Beheeyem125355.00546
Hydreigon125355.00546
Defence StatCalculating survivability based on average AttackWhen a Pokmon defends someone using a power that correlates with the Defence stat, it is apparent that the Attack Stat affects the number of hits the Pokmon can take until KO, so in order to determine the defensive capabilities of the sample Defence-based Pokmon, the calculation of Defence stat will be compared to the average Attack (363). The attack power will also be 60, the reason stated above.
Where d is the Defence stat of the Pokmon in question, applying this formula to the Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes for the average Defence based Pokmon to faint, to do so we will use the Defence-based Pokmon HP stat in the equation too (which will be calculated now). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be
Implementing formula to Defence Stat Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Defence stat (along with their HP stat), the results are shown as followed.PokmonDefence HP Statlvl 100 Deflvl 100 HPDamage DealtHits to KO
Shuckle23020565145344
Steelix20075505255387
Avalugg18495473295417
Aggron18070465245416
Cloyster18050465205415
Bastiodon16860441225435
Carbink15050405205474
Probopass14560395225485
Cofagrigus14558395221485
Forretress14075385255505
Torkoal14070385245505
Skarmory14065385235505
Dusknoir13545375195514
Carracosta13374371253515
Ferrothorn13174367253525
Rhyperior130115365335526
Relicanth130100365305526
Gigalith13085365275525
Metagross13080365265525
Golem13080365265525
Leafeon13065365235525
Tangrowth125100355305546
Gliscor12575355255545
Omastar12570355245545
Crustle12570355245545
Chesnaught12288349281545
Gourgeist12285349275545
Donphan12090345285555
Weezing12065345235554
Magcargo12050345205554
Tyrantrum11982343269555
Hippowdon118108341321566
Bronzong11667337239564
Barbaracle11572335249574
Magnezone11570335245574
Sudowoodo11570335245574
Scrafty11565335235574
Klinklang11560335225574
Kingler11555335215574
Durant11258329221584
Tyranitar110100325305585
Slowbro11095325295585
Umbreon11095325295585
Sandslash11075325255584
Drapion 11070325245584
Glaceon11065325235584
Marowak11060325225584
Spiritomb10850321205593
Mandibuzz105110315325605
Torterra10595315295605
It is apparent that in average, 2 Pokmon can take at least 7 hits from the average offensive stat, and 37 Pokmon take around 6-4 hits before KO. To ensure a wide range of Pokmon are analysed (and in order to have consistency), the first 15 Pokmon (who values are larger by decimal points) will be analysed, soPokmonDefence HP Statlvl 100 Deflvl 100 HPDamage DealtHits to KO
Avalugg18495473295417
Steelix20075505255387
Rhyperior130115365335526
Aggron18070465245416
Relicanth130100365305526
Hippowdon118108341321566
Tangrowth125100355305546
Mandibuzz105110315325605
Gigalith13085365275525
Tyranitar110100325305585
Donphan12090345285555
Bastiodon16860441225435
Chesnaught12288349281545
Forretress14075385255505
Metagross13080365265525
Special Defence StatCalculating survivability based on average SPecial AttackWhen a Pokmon defends someone using a power that correlates with the Special Defence stat, it is apparent that the Special Attack Stat affects the number of hits the Pokmon can take until KO, so in order to determine the defensive capabilities of the sample Defence-based Pokmon, the calculation of Special Defence stat will be compared to the average Special Attack (337). The attack power will also be 60, the reason stated above.
Where d is the Special Defence stat of the Pokmon in question, applying this formula to the Special Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes for the average Special Defence based Pokmon to faint, to do so we will use the Special Defence-based Pokmon HP stat in the equation too (which will be calculated now). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be
Implementing formula to Special Defence Stat Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Defence stat (along with their HP stat), the results are shown as followed.PokmonSp.Defence HP Statlvl 100 Sp. Deflvl 100 HPDmg DealtHits to KO
Shuckle23020565145325
Florges15478413261436
Goodra15090405285446
Probopass15060405225445
Carbink15050405205445
Mantine14065385235465
Bastiodon13860381225475
Blissey1352553756154713
Cryogonal13570375245475
Dusknoir13545375195474
Umbreon13095365295496
Sylveon13095365295496
Milotic12595355295506
Dragalge12365351235505
Tentacruel12080345265515
Claydol12060345225514
Kecleon12060345225514
Mr. Mime12040345185514
Ferrothorn11674337253525
Bronzong11667337239525
Togekiss11585335275535
Hypno11585335275535
Gardevoir11568335241535
Gallade11568335241535
Scrafty11565335235534
Snorlax110160325425548
Slowking11095325295545
Grumpig11080325265545
Gothitelle11070325245545
Flareon11065325235544
Hitmonlee11055325215544
Ledian11055325215544
Hitmontop11050325205544
Hitmonchan11050325205544
Spiritomb10850321205554
Cradily10786319277555
Jellicent105100315305565
Volcarona10585315275565
Blastoise10579315263565
Altaria10575315255565
Escavalier 10570315245564
Roserade10560315225564
Mismagius10560315225564
Cofagrigus10558315221564
Vespiqueen 10270309245574
Empoleon10184307273575
Tyranitar100100305305585
Gyrados10095305295585
Meganium10080305265585
Venasaur10080305265585
NOTE: Move pools, Abilities and Type effectiveness will be covered on the next step. PokmonSp.Defence HP Statlvl 100 Sp. Deflvl 100 HPDmg DealtHits to KO
Blissey1352553756154713
Based on these findings, it is clear that Blissey is the most versatile Pokmon in terms of Special Defence.Step 2: Type effectiveness and move poolFor Attack and Special Attack: Each Pokmon will be compared depending on its type, and how many Pokmon types it can be super effective against (along with STAB (Same Type Attack Bonus). Pokmon who outclass others in this stat will stay, while the rest are eliminated from the sample.For Defence:Each Pokmon will be compared depending on its type, and how many Pokmon types it can resist. Pokmon who outclass others in this stat will stay, while the rest are eliminated from the sample.Type effectiveness, how it works.Each Pokmon can be up to two different types, the types are Normal, Fire, Water, Grass, Electric, Fighting, Flying, Poison, Ground, Rock, Bug, Ice, Dragon, Ghost, Dark, Physic, Steel and Fairy. In correlation with each other, each stat has weak, strong or normal effectiveness against each other, as shown in the table below.It is important to note that when there are dual types, the type defensive capabilities changes slightly depending on the secondary type, for example Ice damage would do 4 times the amount of damage to Dragon/Flying types, due to being super effective to both types. However it is important to not that dual types get STAB (same-type effectiveness) for primary and secondary type.
Note: The data was collected from testing out different moves to different Pokmon depending on their type, to assure accuracy.
23.0
3Gibraan Jamnadas MDU 103.2Attack Stat EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 14 Pokmon left in the sample. With STAB providing a 1.5 times boost in damage, along with having 2x the damage with type effectiveness, it is important for offensive Pokmon to have access to a move pool which moves correspond with their types. In order to determine the most versatile Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be strong against many types, but have the capability to resist some types. To conclude this, a system will be used to determine the most versatile out if this Attack-based sample of Pokmon, and shall be tallied as followed: 2 for each type that the Pokmon is effective against -1 for each type of weakness, -2 if 4 times the weakness 1 for each type the Pokmon resists. 2 for each type the Pokmon is immune too.In accordance to this system, the following formula has been developed, and will be used)
Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityBased on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility
ExcadrillGrd/Steel7408222
EscavalierBug/Steel5018118
RhyperiorGrd/Rock9425117
MetagrossSteel/Psy5408116
ArcheopsRock/Fly6505114
TyranitarRck/Dark6616112
ConkeldurrFighting5303010
SalamenceDrag/Fly4315110
DragoniteDrag/FLy4315110
DarmanitanFire330609
RampardosRock440408
GigalithRock450407
SlakingNormal010011
HaxorusDragon120101
Based on these findings, it is clear that Excadrill is the most versatile Pokmon in terms of Attack.
Special Attack type EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 15 Pokmon left in the sample. With STAB providing a 1.5 times boost in damage, along with having 2x the damage with type effectiveness, it is important for offensive Pokmon to have access to a move pool which moves correspond with their types. In order to determine the most versatile Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Special Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be strong against many types, but have the capability to resist some types. To conclude this, a system will be used to determine the most versatile out if this Special Attack-based sample of Pokmon, and shall be tallied as followed: 2 for each type that the Pokmon is effective against -1 for each type of weakness, -2 if 4 times the weakness 1 for each type the Pokmon resists. 2 for each type the Pokmon is immune too.In accordance to this system, the following formula has been developed, and will be used)
Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityBased on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility
MagnezoneElec/Steel52111119
ChandelureGhost/Fire6507218
GengarGhst/Poison4304315
VolcaronaBug/Fire5216012
RoseradeGrass/Psn5405011
MagmortarFire4306011
HydreigonDark/Dragon3416210
ExegguctorGrass/Psych561608
GlaceonIce440105
AlakazamPsychic230102
EspeonPsychic230102
GardevoirPsychic230102
ReuniculusPsychic230102
BeheeyemPsychic230102
Porygon-ZNormal010011
Based on these findings, it is clear that Magnezone is the most versatile Pokmon in terms of Special Attack.
Defence Type EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 15 Pokmon left in the sample. It is important for defensive-based Pokmon to have a high resistance to a variety of types, as the goal of defensive Pokmon is to either support the team, or wall of strong offensive-based Pokmon. . In order to determine the most versatile Defence-based Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Special Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be able to resist against many types, but have the capability to be strong against some types. To conclude this, a system will be used to determine the most versatile out if this Defence-based sample of Pokmon, and shall be tallied as followed: 1 for each type that the Pokmon is effective against -2 for each type of weakness, -3 if 4 times the weakness 2 for each type the Pokmon resists. 3 for each type the Pokmon are immune too.In accordance to this system, the following formula has been developed, and will be used)
Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityHowever Avalugg and Steelix each start off with a value of 3, because they can take 1 more hit.Based on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility
ForretressBug/Steel5018121
SteelixSteel33010017
AggronSteel33010017
BastiodonRock/Steel6128117
MetagrossSteel/Psy5408116
MandibuzzDark/Flying540329
RhyperiorGrd/Rock942518
RelicanthWater/Rock731508
HippowdonGround530216
TyranitarRck/Dark661616
DonphanGround530216
ChesnaughtGrass/Fight751606
TangrowthGrass340403
GigalithRock450402
AvaluggIce44010-2
Based on these findings, it is clear that Forretress is the most versatile Pokmon in terms of Defence. Conclusion/FindingsMost versatile Pokmon in terms of AttackIt is apparent that Excadrill excels as the most versatile Attack-based Pokmon, becoming a distressing sweeper that is able to wipe of most Pokmon from the map (especially from the samples taken). The Pokmon also has a very good move pool, giving it many different possible roles in battling, from setting up traps (or getting rid of them) to setting up and sweeping enemy Pokmon teams.
Most versatile Pokmon in terms of SPecial AttackIt is apparent that Magnezone excels as the most versatile Special Attack-based Pokmon. With stats and move pools like this, not only is Magnezone able to take out most enemys, but the Pokmon also has a large resistance to most stats and very dependable defensive stats.
Most versatile Pokmon in terms of DefenceIt is apparent that Forretress is the most versatile Defence-based tanked in the sample taken. Not only can this Pokmon clear traps (or make them), along with having high stats and resistances, the Pokmon has extremely high utility, able to wall of offensive Pokmon and change the tides of battle.
Most versatile Pokmon in terms of SPecial DefenceIt is apparent that from the gathered data from this assignment, in average the sample Pokmon can take around 5 hits, however it is apparent that from the data, one Pokmon can take a whopping 13 hits before being KOd by Special attack (5 hits more than Snorlax, the second one down), and that Pokmon is Blissey. Due to being a Normal Type, Blissey is only weak to one stat, is immune to Ghost Type moves and takes normal damage from every other type. However her phenomenal HP and excellent Special Defence allows this Pokmon to take hits from Special Attack-based Pokmon, and easily shrug it off.
BibliographyBulbapedia. (2014). List of fully evolved Pokmon by base stats. Retrieved April 4, 2014, from Bulbapedia - the community driven Pokmon encyclopedia: http://bulbapedia.bulbagarden.net/wiki/List_of_fully_evolved_Pok%C3%A9mon_by_base_statsOxford Dictionaries. (2014). versatile: definition of versatile in Oxford dictionary (British & World English). Retrieved April 7, 2014, from Oxford Dictionaries: http://www.oxforddictionaries.com/definition/english/versatileVGChartz. (2014). Pokmon X Y (Nintendo 3DS) - Sales, Wiki, Cheats, Walkthrough, Release Date, Gameplay, ROM on VGChartz. Retrieved from Video Game Charts, Game Sales, Top Sellers, Game Data - VGChartz: http://www.vgchartz.com/game/71449/pokemon-xy/