<p>I no longer live in the East, but I did for many years, so I feel qualified to answer.</p>
<p>Stanford is very well known and highly regarded in the East. Gallup did a public opinion survey about 10 years ago on “best universities.” Nationally, Stanford tied for second with Yale, with 11% of those surveyed naming the school best or second-best in the country; Harvard was first with 24% giving it first- or second-place votes. </p>
<p>When the results were broken down by region, Stanford tied with MIT, Penn State (?!) and Penn for 4th place among Easterners, after #1 Harvard, #2 Yale, and #3 Princeton. In fact, Harvard, Yale, and Stanford were the only schools to make the top 5 in every region; Harvard was #1 in every region. Stanford was the only Western school to make the top 5 in any region other than its own, and it did so in all regions. There’s no reason to think Stanford’s reputation has diminished since then.</p>
<p>After Stanford, I’d say UC Berkeley is the next best known Western school among Easterners, though it has a somewhat mixed reputation carrying over from the student protests of the 60s and an ongoing leftish reputation, attractive to some, anathema to others. USC and UCLA are also very familiar names but are known more for sports (football and basketball, respectively) than for academics. Caltech has a much smaller and more specialized following among STEM-oriented professionals, parents, and students, but among those groups it has a extremely strong reputation, possibly exceeding that of Stanford.</p>
<p>Beyond that, Easterners don’t give much of a thought to Western schools. The Claremont Colleges are on very few Easterners’ radar screens, and I’d venture to guess that most Easterners couldn’t name a single UC other than UC Berkeley and UCLA (unless they made a lucky guess and said San Diego). Fans of college sports (especially football and basketball) could probably name a fair number of Pac 12 schools, but again they’d know them only for sports and not for academics. Many college basketball fans could probably identify Gonzaga.</p>
<p>Many, possibly most Northeasterners think private colleges are categorically better than public, and in their own region that is often the case. They also think the best private schools are in their own region, and many are. Consequently, they tend to be focused on private schools in their own region, and when they go outside their own region it is more often for private schools than for public. Most of the better schools in the West are public, and aren’t on the radar of many Northeasterners.</p>