This set, in contrast with first two physical sets, relies on its Special Attack, Calm Mind to boost its Special stats, and a Judgment that is super-effective on the predominantly Psychic Uber Pokémon. The types that hit the Psychics well happen to be Ghost, Dark, and Bug, which should be chosen according to one's team. Ghost is immune to Explosion from Pokémon like Forretress and Fighting attacks, which are popular due to the advent of Aura Sphere, but is weak to both Dark and Ghost, two types that occur very frequently to strike Psychics at their weak points. Dark is resistant to Dark and Ghost, but weak to Fighting and lacks an immunity to Normal attacks. Lastly, Bug doesn't have too many useful resistances except perhaps Ground to switch in on Groudon and hits not very effectively against Ghost types like Giratina, but has the advantage of being super effective on Dark and Psychic simultaneously.
Generally, this Arceus variant aims to use Calm Mind to boost its Special Attack significantly and then spam Judgment repeatedly until it hits an obstruction in the form of a Pokémon that resists or is immune to the type that its Judgment is; that is where the second move, Ice Beam, comes in, as Ice is generally a very effective type coverage attack to use in Ubers. Depending on the team, another special attack from Arceus's massive artillery could be preferable, though. Remember to resist the temptation to use Dragon Pulse, however; the only Ubers it hits harder than Ice Beam are Manaphy, Kyogre, and Palkia, all three of which Judgment hits with equal or increased power. As with the previous Ghost sweeper set, Calm Mind Arceus has a choice between Substitute and Recover, again a question between reliability and utility. Substitute often comes in handy to aid prediction and prevent critical hits and status effects, but as Calm Mind is a rather slow way of setting up, the lack of recovery may do Arceus in; additionally, Substitute makes winning against Blissey or Latias much more difficult.
As can be easily seen, the EVs for Calm Mind Arceus are not dissimilar to those of the Ghost Swords Dancer, with the exception of the transfer of Attack EVs to Special Attack, and function almost identically.
