The differences on pet's?

What does justice, sly, brave, justice, timid and etc differentiate on each other? Like is there a difference on how they atk?
Can you explain to me the differences between them because so far, I heard that timid can also be a good pet because it will atk if necessary and can also heal me (I don't know if it's true).

I'm planning to buy a pet but before that, I should know the differences between them in order to have a better build for them.

Thanks in advance (sorry for my grammar, english is not my first language)

 

Nature is the first thing to see when u want to buy a pet.

This pic is prolly not complete yet. And we havent know each traits except their ability to avoid aoe.

 

What does 'x' and 'o' means? which nature will you recommend for higher dmg?

 

0 means yes it dodge against certain attack types. x means it wont avoid that attack

 

It depends on the pets themselves. Some are magic oriented and others are physical oriented.
For example, a moxis is a flying pet well-known for being magic based, if you train it with physical stats and skills its damage growth will be really small, even if its holding a 2h phy attack type. You will notice the difference if you compared it to a similar moxis that have a md mag attack type. Just look for the pet power in the stats screen(lower left number with a sword on top)