Also got a no from Stanford! I was initially discouraged about the results page on this website, at the time I checked, three recent submissions were interviews from Stanford with only one rejection. Then I realized that people who have gotten interviews are more likely to rush to submit their result, versus those of us that might be feeling a little stung about a rejection.
Something to keep in mind when trying to compare your results to others' invitations and acceptances over the next few months - it's easy to feel like you're in the minority, but there's lots of us receiving rejections! Keep your heads up