(Copied from Serebii)
The unique feature with Pokémon Amie is that after you have utilised the feature, you will come to see various effects in battle. These features range from superficial to largely beneficial for the trainer which allows for greater strategy in battle. Most of them occur randomly, with the rate currently unclear. The effects known are as follows

Text: The introduction message, and various statements throughout battle change in context
Critical Hit Ratio: The ratio of Critical Hits is increased
Evasion: The Pokémon's evasion is increased
Paralysis: The Pokémon has a chance of healing itself from paralysis
Survival: The Pokémon has a chance of enduring a hit which would have knocked it out

YOUR TEARS ARE DELICIOUS SMOGON!