<p>Is Columbia "well-known" to "laymen"? Not as much as HYPS that's for sure. But then again outside HYPS no school comes close to achieving laymen prestige. Columbia is as close as it gets to HYPS.</p>
<ol>
<li>Columbia College had the lowest admit rate in the country (8.9%)</li>
<li>Columbia has the most Nobel Prizes in the world (83)</li>
<li>Columbia has tremendous international prestige (refer to international rankings)</li>
</ol>
<p><a href="http://ed.sjtu.edu.cn/rank/2007/ARWU2007_Top100.htm%5B/url%5D">http://ed.sjtu.edu.cn/rank/2007/ARWU2007_Top100.htm</a>
Columbia #7, ranked higher than Princeton, Yale, Cornell, Penn, Brown, Dartmouth.</p>
<p>Also refer to the Times Higher Educational Supplement Ranking, where Columbia is #12 in the world. (Princeton is #11)</p>
<p>Columbia was Ranked #1 research institution in the world this year. (there's a link somewhere on CC)</p>
<p>By these metrics, Williams can not compare on a name-brand prestige basis. (Note: this is not to say its academics is not up to par- in fact, Williams will offer you the same if not better education than any Ivy except Princeton)</p>
<p>To the OP. Columbia's name-brand is better than that of either Williams' or Amhersts' when it comes to the people for matter. Granted Williams is a top-tiered institution, but Columbia is Columbia. For the record, Columbia has twice the amount of people as Williams at Yale Law, Harvard law, Stanford Law, etc.</p>
<p>Can anyone genuinely argue that someone in say, Europe, CHina- heck California is more likely to know what Williams is vs Columbia University? I can tell you from personal experience that Columbia is very well respected in Beijing, Shanghai, and London (three cities where I've visited/worked/lived) and put on par with MIT, Stanford, and Yale. </p>
<p>Also, Columbia's name value is further increased due to its extremely prestigious Law School, Business School, Journalism School, and Medical School. If it's name-brand you are looking for, Columbia is the best.</p>
<p>However, with that said, Law School/Medical School admissions is vastly predicated upon your GPA/LSAT. It does not matter much where you went to school. And to the extent that Williams is Williams, the inherent advantage Columbia's name brand has over Williams will do absolutely nothing. Of course, business, and BANKING specifically is another story. Columbia has AMAZING placement on wall-street, only surpassed by Harvard, Princeton, and Wharton. Then again, there's also more competition at HPWharton for those spots. </p>
<p>If you are competitive for Williams, you will be competitive for Columbia. Do not let "name"/prestige influence your decision between these two schools. Choose which one you'd like better. That said, if you want Columbia, applying Early Decision is 100% the best way to go.</p>