<p>Stanford EE PhD for grad here, but I haven’t been at “both ends” because my undergrad was also highly ranked, albeit it was a public school but that’s not unusual in engineering. My views on this topic are not charitable:</p>
<p>I find the PhD students from top undergrad programs to be consistently better by a noticeable margin. It’s hard to shake the feeling that some of the domestic students from outside the top 10 got lucky. (Internationals are also all over the place, but better on average in my opinion.)</p>
<p>I base this on classroom grades (somewhat competitive here because of the large MS program) and how well they do in the PhD qualifying exams (which at Stanford EE is non-trivial, although recently they’ve been diminishing it).</p>
<p>I happen to have statistics from over half our entering class: of the domestics, roughly 40% were top 5 undergrad (MIT, Stanford, Berkeley, Illinois, Caltech) with another 20% from the next seven or so (GaTech, Michigan, CMU, Cornell, Texas, Purdue, Princeton). The rest came from a plethora of other places, usually the sole representative from that place. (For reference: the department has ~100 PhDs/year, and a little over half are international.)</p>
<p>Based on this, you can see why some of the “less than top” students might struggle. Even the top 5 only send ~2-6 per year each. Those students have the demonstrated ability to out-compete other high-caliber students. For those outside the top undergrad programs, <em>even if they’re the single best student in years</em>, it’s hard to say how to say how they stack up. They may simply have never had to compete with anyone but lower-caliber students. Their recommendation writers might be overestimating them due to a lack of perspective. So they <em>might</em> be good, but we don’t <em>know</em> that they’re good.</p>
<p>Of course, you can argue that we never truly know if an applicant is good, but the top 5 students at high-ranked programs are a pretty safe bet: you know what quality you can expect from consistent past experience because there are at least a few representatives entering every single year. The top 1 in a decade at no-name school X is more of a wild-card and sometimes turns out to be a bad pick. These individuals will struggle at Stanford EE now that they’re finally facing real competition. I believe the department does notice these things and try to keep track of it. For example, one of my PhD qualifying exam givers (a former department head) asked everyone he tested what undergrad they came from.</p>
<p>Now does it matter? For the most part, a PhD only requires perseverance. Theoretical work often requires raw intellect but experimental work (which most EE PhDs fall under) usually only requires permuting experimental conditions. If your advisor is coming up with the ideas, then your job might be as simple as button-pushing. So I think even these struggling individuals will end up doing fine (in that they graduate), provided they can survive the quals.</p>