I have to disagree about the correlation. Not highly correlated. Harvard and the like did not become prestigious out of number of publications. There are many non-prestigious schools with awesome faculty members who are top notch researchers in their respective fields and produce successful students. Prestige does not necessarily mean bright and productive. A lot of prestigious folks bs-ed their way to the top. You definitely have to look at the skeleton of the program and subfield at any one school. Look at their graduate placements, their current and past research, cross collaborations, number of grants received (NIH, NSF, NASA, Internationally-renowned?), support for their graduate students (you may want to ask current students about their experience), publications and where they are being published. You may want to go to the APA's website or the specific division website as well. I am not saying having Harvard or Princeton on your CV is not worth it but at the end of the day, hiring committees will want to see what you have done to bring to the table.