zaph comments on Open Thread: November 2009 - Less Wrong
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I reservedly second Wedrifid's comment that the little piece of paper at the end is worth it. I know people who have gone far in life without one, and I don't mean amazing genius-savants either, just folks who spent time in industry, the military, etc. and progressed along. But I've also seen a number who got stuck at some point for lacking a degree. This was more a lack of signaling cred that smarts or ability. The statistics show that people with degrees on average earn more than those who don't, if that's of interest to you. But degrees don't instantly grant jobs, and some degrees are better preparation than others for the real world. It sounds like you're interested in a degree in math, which carries over into a lot of different fields.
I think it's great that your taking stock of what your education experience is giving you. As Wedifrid mentioned, the motivation is an important part of schooling, and if you're in a program that is known to be rigorous, the credentials are definitely worth it. But those have to be weighed against current employment options. I'd encourage you to consider working with professors on research, investigating internships, etc., so that you get the full educational experience that you're looking for, and not be one of those graduates that only took classes and then expected a job to be waiting for them when they graduated.
Correlation is not causation. Graduates as a group are smarter and more ambitious than nongraduates. The question is not whether people with a degree do better; the question is what the degree itself is buying you, if you're already a smart ambitious person who knows how to study.
I recall some studies (I hate not remembering authors or links) that tried to control for the effect of the degree itself by comparing those who got into a particular school but graduated from somewhere else to those who graduated from that school. Controls for the general "graduate" characteristic, but still misses the reasons for the choice.
Upshot was that there wasn't much difference in income, though I believe that was in part because the highest-level schools send a substantial part of their undergraduates on to become academics.
http://www.psychologytoday.com/blog/freedom-learn/200810/reasons-consider-less-selective-less-expensive-college-saving-money-is-jus
That quote asserts that SAT scores are the same as prestige. The 1998 and 1999 drafts of the paper looked at both, with different results, finding that average SAT score didn't matter, but various measures of prestige did. They have three versions of prestige: variance of SAT scores, Barron's ratings, and tuition. Variance is dropped in the 2002 published version. Tuition still predicts income. The most direct measure of prestige, rankings, seems to be quietly dropped in the few months between the 1998 and 1999 versions (am I missing something?). The final version seems to say on 1515, in a weirdly off-hand manner, that it doesn't matter, but I'm not sure if it's the same measure.
I remember reading about that study in the New York Times. I think that they said that they only found evidence of an income effect for black students...
http://www.nytimes.com/2008/04/19/business/19money.html
I suppose black students do tend to be poorer...
There it is. Thanks!
Thanks for that link. I had wondered.