I wonder if someone out there has built a model for academic job market studying the relationship between the probabilities of
1. A job candidate receiving a campus visit
2. A job candidate receiving an academic offer
And the number of publications a job candidate has and the academic ranking of his or her graduate school. As a former academic job candidate it is my own personal experience that having publications, even in top ranking academic journals, is a necessary condition and not a sufficient one. And it seems the ranking of doctoral degree granting school is a sufficient condition, and thus it has more deterministic effect on a job candidate chances.
I wonder if there is any paper that studies this hypothesis.