I wouldn't say a 'stronger' candidate. I am sure that most people who apply are actually strong candidates. Perhaps, rather the candidate especially fit for that programme, that faculty and that year (sometimes, adcoms look for different things in different years).
It is also very difficult to speculate about other schools based on results from this one. There must be an academic 'fit' to get into every school. No matter how great GRE, GPA and wring sample are, nothing is guaranteed without that 'fit' (plus the politics at the department). You've probably seen people here on GradCafe who reported acceptances at Ivies and rejections at what were considered their 'safety' schools.