My daughter is on the 2016 waitlist, so this is a statement completely against interest.
But in my never-to-be-humble opinion, you simply can't go wrong picking Stanford.
To use an overused and often misused superlative in its literal sense, Stanford is unique.
Yale is a lot like many other East Coast schools in terms of quality and vibe. There is no where else like Stanford. No where.
For reasons explained above, however, Yale would be a fine choice.