Like the question says, do gym badges really raise your Pokemons stats when they say?
I mostly remember this only occurring in the older games, but in my Emerald for example, the Petalburg gym leader (your father) gives you the Balance Badge after defeating him.
He explains how he's proud of you blah blah blah, and says that the badge apparently raises the Defense of your Pokemon.
Do those badges really raise your Pokemons stats?
(And of course I don't mean raise physically, but maybe in battles your Pokemon recieves a boost?