I'm a loser compared to my brother. Living with him makes me feel like such a failure.
It's not a great idea to make comparisons like this. What about your brother makes you feel like a failure?
He got into Yale and I only got into Ohio State University.
It's good to hold yourself to high standards but you shoulddn't base those standards off of someone else to the point where you feel like a failure for not meeting them. Schools like Yale are extremely selective and for all you know you just barely didn't get in. Just keep working hard and always doing your best and you'll be fine.
I'm a disappointment to my family.
You're being unfair to yourself by trying to measure up to your brother. You should feel proud about getting into Ohio State, which is a great school too. It's unlikely that anyone besides you is comparing your achievements.