Here's my $0.02 as someone that just invested in a nice new speaker: UE Boom vs Sound Sticks is like comparing apples and oranges.
The UE Boom is a small portable speaker that is rechargable.
The sound sticks are a larger unit with a separate sub and speakers that is powered.
My guess is the sound sticks have better sound and are much louder with better bass. I can't back up that statement, but it's an educated guess. But the UE Boom is portable. They are similar in price. You need to decide what you are looking for in a speaker before anyone can really give you some input on what to get.
If possible, you should try to play music through both the speakers before you buy either one. Guaranteed the same song will sound slightly different in each one and you will like one better than the other.