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Mathematicians Deconstruct US News College Rankings

An anonymous reader writes "US News makes a mint off its college rankings every year, but do they really give meaningful information? A pair of mathematicians argues that the data the magazine uses is all likely to be at least somewhat relevant, but that the way the magazine weights the different statistics is pretty arbitrary. After all, different people may have different priorities. So they developed a method to compute the rankings based on any possible set of priorities. To do it, they had to reverse-engineer some of US News's data. What they found was that some colleges come out on top pretty much regardless of the prioritization, but others move around quite a lot. And the top-ranked university can vary tremendously. Penn State, which is #48 using US News's methodology, could be the best university in the country, by other standards."

41 of 161 comments (clear)

  1. Reputation by Reality+Master+201 · · Score: 5, Insightful

    A college degree is an education, and that should be of paramount concern. It's also nice to be in a place you'd enjoy living, etc.

    But then there's reputation. You might get the same education at CMU and MIT, but if you're looking for jobs, all other things being equal, someone's gonna pick the MIT grad because it'd a bigger name. I realize it's variable across fields and with individuals, but names mean something to a lot of people, particularly when they're not really qualified to judge on merits.

    1. Re:Reputation by Ethanol-fueled · · Score: 5, Funny

      George W. Bush graduated from Yale.

    2. Re:Reputation by the_weasel · · Score: 5, Insightful

      And he became president. That's a pretty clear success for him. :-)

      --
      - sarcasm is just one more service we offer -
    3. Re:Reputation by jd · · Score: 2, Insightful

      Yes, general reputation matters. Cambridge and Oxford in the UK have enormous street cred with employers and it doesn't matter if they're the best in a given field. They'll always be highly regarded. Specific reputation also matters. A university known to have brilliant students and produce top-notch wizards (Hogwarts?) in that specific field will also count highly with an employer. (It'll be the name HR becomes extremely familiar with, if HR is bothering to track such things - and top employers are more likely to than bottom-of-the-barrel types.)

      However, once you're past HR, you've the real professionals to contend with. Again, they'll recognize the big-general names and the big-in-field names if they're any good, but they'll also recognize heavily-published places because it's the published stuff that helps the professionals stay on top. HR doesn't read (and in some places I've applied, I wonder if they could read), so major research universities (where students are likely to be more current but not necessarily more educated) won't rank as high with them, but it should matter a great deal more to those in the field.

      Since higher degrees are where people get deep into the research, such places should matter more to those going for a masters or PhD than for the first degree, but it is one of those things that does matter to some extent no matter what degree you're going for. After all, the lecturers can't be any better than the information they have available to them, so non-research places may be 5-10 years behind the curve, as they'll rely on secondary sources of information (such as textbooks) which will never be truly current. On the other hand, if you're the one defining what is current, you aught to be able to teach what is current.

      Even then, it's no good if the lecturer knows something if they can't present it, so you still need more feedback. Ideally, you'd know how students change in ability from the start to the end of the course. Even a dumb lecturer can teach students who already know everything they need. The rate of change of student ability in relation to the rate of change expected for students of that level of ability is the magic number you need to tell if the lecturers are any good at imparting information. As I don't think any existing tests currently give you the data you'd need to calculate this, since you can't standardize a test that is inherently much more specialized and all tests these days are standardized (fools that they are), such a calculation is impossible. As such, you either have to pick a number out of thin air, or use surveys to get the students to pick the number out of thin air for you. Either way, it's not the number you want and there's no possible way of determining how close or distant it is. Without that number, the rest of the data only tells you what the upper theoretical limit is on quality, not what the practical day-to-day reality is.

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    4. Re:Reputation by johnlcallaway · · Score: 4, Insightful

      Bzzzzt!!! Not always right.

      A college degree is a piece of paper. But I'll concede that the education should be the paramount concern. I agree with a concept I read in Money magazine a few years ago when they analyzed how much a difference in salary people got depending on what school they went to and how much they spent. The gist of what they recommended was to get the basics from a community college that can transfer credits, then enroll in the more expensive places. Math is math, science is science, IT is IT up to a point. That way you don't spend two years figuring out that you suck at IT and spending a crap load of money doing it.

      Not everyone puts a lot of value in a school's reputation. I'd rather work for a place that hires people based on their abilities instead of on a sheepskin. I worked with a VP of development that had a PhD in neuro-networks from MIT. Smart guy ... lousy to work with. Ego the size of Massachusetts, and the personality of a penny.

      I don't even pay attention to whether someone has a degree or not when hiring admins or development staff. In fact, 'professional students' will probably fall down lower on my list than someone who has been attending local colleges taking specific courses. All I care about is how smart and curious they are, and lots of smart, curious people don't go to school. Anybody can learn to code, but the smart and curious people are really good at it. Some of the best IT people I have worked with in the last 25 years had very little college education.

      You want to be a doctor or a lawyer or a consultant and have your own business?? Pay for the degree, many people put stock in it.

      Aren't that smart?? Pay for the degree, it fools some people.

      Otherwise, save your money. Learn what you need, go to a tech school or get a 4 year at a state school if it's that important to you.

      If you are smart, curious, and have a strong work ethic, you will do fine.

      --
      I rarely read replies, it's my opinion and if you thought about your opinion a little more, I'm OK with that.
    5. Re:Reputation by Colonel+Korn · · Score: 4, Informative

      George W. Bush graduated from Yale.

      Until women were allowed into Yale, rich kids could get in without any uncertainty, as long as they weren't dismally stupid. When women were added to the pool (and when other policies designed to attract upper class white students were dropped in 1970), suddenly the acceptance rate had to drop massively, and the choice was made to base all admissions (or nearly all) on academics.

      W would probably have been rejected if he were to apply now. His daughter might be raised as a counter-example, but she was a good student in high school. It certainly still helps to be rich and well known, but it's no longer a carte blanche. Graduating's a lot harder now than it was then, too, but that's a different story.

      --
      "I zero-index my hamsters" - Willtor (147206)
    6. Re:Reputation by Anonymous Coward · · Score: 2, Funny

      facts?!

      didn't you mean

    7. Re:Reputation by Anonymous Coward · · Score: 2, Funny

      Until women were allowed into Yale

      What?!

    8. Re:Reputation by Abreu · · Score: 5, Interesting

      Something very weird happens here in Mexico.

      According to several international studies*, The National Automonous University of Mexico (UNAM), and the National Polytechnics Institute (IPN), the two largest public universities in the country, are the best institutions of higher learning in the country.

      Yet it is very common to see "UNAM, IPN, graduates need not apply" in job listings. Why?

      Because employers seem to believe that the networking and prestige of the exclusive private schools are worth more than being a graduate of the two institutions that generate 90% of the scientific research in the country!

      Sources:
      http://www.topuniversities.com/worlduniversityrankings/results/2007/overall_rankings/top_400_universities/
      http://www.arwu.org/rank2008/ARWU2008_TopAmer(EN).htm

      --
      No sig for the moment.
    9. Re:Reputation by mikael · · Score: 2, Interesting

      From what I've seen in the UK, many company directors seem to have a preference for graduates from the university that they went to, rather than by any other selection method. But with so many qualified people chasing the same well-paying jobs, you can't really blame them. Otherwise they start using techniques like handwriting analysis, psychometric questionnaires and pop quizzes to divine who is the "safe bet".

      --
      Vintage computer adverts: http://www.vintageadbrowser.com/computers-and-software-ads
    10. Re:Reputation by fakeplasticusername · · Score: 2, Insightful
      I think if you follow the point of the article to it's ultimate logical conclusion, it makes the point that perhaps the reputation that is such a giant draw isn't earned in all cases. Part of the reputation is probably a result of the US News's reports, I know when I was picking a school all of my contemporaries certainly viewed it as the bible from which was pronounced the word.

      If the rankings were more statistically driven instead of by the whims of "experts", these unearned reputations might start to evaporate. The reputation of any social institution could be described as being based on the people that are produced as a result of it, the hype surrounding it, and of the network of people attached to it. Make the hype approximate the actual educational result produced by the school (based on your own personal priorities) and maybe the reputations will change on a long enough timeline.

      Also, from the article:

      The pair point out that their methods can't address another of the fundamental criticisms of the U.S. News evaluations, that the magazine chooses the wrong factors to base their evaluations on in the first place.

      If there are serious criticisms about the factors U.S. News uses to rank colleges by even the flawed methods of these "experts", maybe a more statistical method is even more superior than the results of this preliminary study. If the rankings could be done in a superior fashion by an algorithm that accounts for ALL qualities of interest, configured to reflect personal priorities, there may be even more room for improvement. Not that there isn't a place for a personal touch, but the data should come first...

    11. Re:Reputation by stephanruby · · Score: 3, Informative

      Your joke is too close to the truth to be funny. Senator Prescott Bush (father of H.W. and grandfather of W.) was indeed a Trustee at Yale and the Bush family indeed raised funds for a full Wing to be built there.

  2. The rankings have always been meaningless by j1mmy · · Score: 2, Interesting

    At best, they provide a filter for individuals of a certain level of ability of competence, e.g. the average graduate from a school #1 is going to be more capable than the average graduate from school #100.

  3. This is news? by afidel · · Score: 2, Insightful

    Doesn't everyone know that the front page rankings are worthless and it's the per area/major rankings and the detailed information that's important? Also the rankings are only a place to start, you need to do an extended visit to your top 5 schools to see how likely you are to be compatible with the school.

    --
    There are 4 boxes to use in the defense of liberty: soap, ballot, jury, ammo. Use in that order. Starting now.
  4. Penn State and working out who is good or not by MosesJones · · Score: 4, Funny

    Penn State, which is #48 using US News's methodology, could be the best university in the country, by other standards.

    Was that standard "name which sound most like a Prison". Its good to get some measure of how good a team is but there are of course other approaches, one would be to have a league system with a set play-off format (rather than 100 "bowl" games) with a number if tiers, bottom few teams drop down a tier, winners of the various tiers below move up.

    The whole point of the US News figures is that they are arbitrary, this isn't about really working out who is best over the course of the season its about having something to talk about around the water cooler, it would be miles more boring if you know that winning a game by 4 points when someone else loses by 2 means that your ranking goes up. You'd have commentators talking all the time about the "real time change" in the figures, it would be mind-numbingly boring.

    Keep the arbitrary figures lets just have a proper league system instead rather than a flat "randomly play teams" format.

    --
    An Eye for an Eye will make the whole world blind - Gandhi
  5. and Harvard Business School by Reality+Master+201 · · Score: 2, Informative

    And even if he weren't a member of one of the more powerful families in the US, he probably would have done pretty well for himself having those names under his belt.

    Whether or not he actually learned anything of value, though, is a matter we must pass over in silence.

    1. Re:and Harvard Business School by ScreamingCactus · · Score: 2, Insightful

      Maybe he really is a genius... I think it would take someone very clever to appear that inane and yet still get elected. Twice.

      --
      The path to enlightenment is truly through homemade drugs!
    2. Re:and Harvard Business School by Azar · · Score: 2

      Do you know exactly which schools they were because, well, it kind of makes a big difference. If they visited private schools (which is most likely), your tax dollars aren't being wasted. And I'm sure that those "Richie Rich" kids probably are paying through the nose in tuition, housing, fees (etc) which is what is covering the costs the lavish (and ludicrous) treatment.

      You are not going to find a publicly funded (paid by your tax dollars) school that is that outlandish and extravagant.

  6. When will this be publically available? by agent4256 · · Score: 3, Insightful

    So when will there be a site available so I can see how my college ranked based upon what I deem to be the most important?

    US News could take this, print their magazine, then offer this "service" on their site, run by ad revenue to really give the student a run for their money when applying for a college.

    ... that is if they can afford it.

    1. Re:When will this be publically available? by crashcodesdotcom · · Score: 2, Interesting

      Excellent idea. I'd take it one step further...

      Offer the service on the site as you suggested. After some time period assign weights based on what the people using the site used. Tada! Maybe then you get a list worth printing?

  7. Blindingly obvious stuff makes headlines... again by Geoffrey.landis · · Score: 2, Insightful
    Amazing how the blindingly obvious can get headlines.

    If all the different criteria all gave the same result, then there would be no need to make a weighted average; you could just look at any single one. If they give different results, then of course the result will depend on how you weigh them. In fact, if a college ranks number one on any of the criteria, clearly a weighting exists to rank that college number one overall (just rate that one factor 100%...)

    You don't need "a pair of mathematicians" to show that. A pair of high-school freshmen could do it.

    --
    http://www.geoffreylandis.com
  8. Comment removed by account_deleted · · Score: 2, Insightful

    Comment removed based on user account deletion

  9. Only one statistic that matters. by nog_lorp · · Score: 4, Funny

    Percentage female. If you are going into engineering (face it, you are) try to get in to a liberal-arts dorm.

  10. Just as SAT is useless after you're in college by Overzeetop · · Score: 3, Insightful

    Once you get your first job, where you graduated from (name recognition) is less important than the intelligence of the student and what you're really done. Don't get me wrong, you should probably consider one of the "top 20" in your field, but you're just as likely to get a good (or better) answer from people in your future industry than from a magazine. There are exceptions to the rule, of course, but unless you happen to be in one of the few snobby professions it doesn't matter. Finding a good "fit" for college is almost as important as the curriculum itself.

    Now, if you're going on to do something great (and almost all of you can put your hands down - you either weren't born with the brain or the parents; I'm included in that class, too, fwiw) you should consider finding the top graduate program in your field. Not one of the top, THE top, as judged by your peers. Then school will matter, because when you get near the top, snobbery is almost everything. Your parents, your intellegence, your charisma, and your degree for the "three of four" ticket to stardom. You can need at least three and get to the top. Actually, I think you can only have three - if you get all four your competition will be jealous and cut you down like a dog.

    --
    Is it just my observation, or are there way too many stupid people in the world?
  11. Playing the numbers by timholman · · Score: 5, Interesting

    Several of the metrics that U.S. News uses do seem to be arbitrarily weighted, leading to some bizarre contortions on the part of the various schools to enhance their ratings. Most of the data is self-reported by the universities, which clearly provides a powerful motivation to spin or "enhance" the numbers to one's advantage. I have no doubt that several colleges fudge the numbers to raise their rankings, leading to a lot of frustration at other schools that are playing by the rules but feel that they're being cheated in the rankings.

    And some of the metrics make little sense. For example, engineering schools can raise their rankings by several places just by having one or more faculty members in the National Academy of Engineering. Yet NAE membership is essentially meaningless in terms of research and teaching, and hardly more prestigious than having faculty members who are Fellows in other established engineering societies. Yet U.S. News ignores the number of Fellows in IEEE, ASCE, ASME, etc., and focuses on NAE membership. So why the emphasis on NAE? Probably because the NAE told U.S. News that they were the most important engineering society, and U.S. News never questioned it, when in fact the NAE has almost negligible impact on higher education.

    1. Re:Playing the numbers by blair1q · · Score: 3, Insightful

      What I want to know is why U.S. News considers itself qualified to rate colleges in the first place.

  12. Less than useless.... by Afforess · · Score: 2, Insightful

    What does it matter how good a particular college is? What are they basing it off? Satisfaction polls? Tuition cost? Income? Alumni? I find that it is best to compare departments to find the best college (Compare Engineering Departments, Compare Math Departments... etc...) Who cares if a University makes #8 at US News and Reports, if it is because of its fine arts programs and you want a computer science major?

    --
    If our elected representatives no longer represent us, do we still live in a Democracy?
  13. Reinventing the wheel? by Sudarshan+Lamkhede · · Score: 2, Informative

    I think this problem could have been easily solved by what Information Retrieval community has been practicing for decades now: Vector Space Model. In fact just going by the description of the method provided by the news article, it seems that the their method is not much different than the VSM model and simple cosine similarity could have been applied between the priority vector ("query vector") and each university's score("docuement vectors") along the 7 dimensions. Then all universities could be ranked in the descending order of the cosine, 1 being the perfect match. Am I missing something or this is a reinvention of the wheel?

  14. link to original paper by Boghog · · Score: 5, Informative
  15. Stanford is pretty but... by fishbowl · · Score: 4, Interesting

    Having been to Stanford as a visiting scholar recently, I have to say I am very glad I never went there (tuition and housing orders of magnitude out of my reach or not.)

    Things I take for granted on a university campus, such as being able to walk into a library, or to use public wi-fi while sipping coffee somewhere on the grounds... These things are actually difficult or impossible for a visitor to do -- even a visitor with credentials who is there on academic business! I was *amazed* at the difficulty of getting into the Green Library for instance, and my week was pretty much destroyed by the fact that if you want to use on-campus wi-fi, "you can't", simple as that.

    At every turn, everything that could have been convenient for a visitor was hostile. I ended up rushing through my research and spending all my time at a coffee shop in Palo Alto (where the wi-fi was free, and nobody minds if you hang out and work.)

    Thanks Stanford, you're awesome.

    --
    -fb Everything not expressly forbidden is now mandatory.
    1. Re:Stanford is pretty but... by TerranFury · · Score: 3, Informative

      I'm not positive on this, but I think that part of the reason for this is laws that basically require it. AFAIK, either the college network is classified as an "internal network" (I'm not sure what the real legalese is; I'm paraphrasing), in which case it needs to store privacy-invasive and impractically-large logs of user activity, or it is classified as an ISP, in which case it avoids these issues (and associated liability) but is required to know who is on each IP, which basically necessitates restricted access and obnoxious login pages.

      I say this because I did my undergrad at a school that used to keep its wifi completely open and unencrypted (Want security? Go through a VPN.) which was in fact quite wonderful. (This worked, I suppose, because it was in an idyllic little New England town, where the locals weren't a problem.) But after I left, I continued to get a few emails from various services on campus, and one was to the effect of my previous paragraph (i.e., that they were changing wifi access to meet new federal regs that they really didn't want to bother with but had to). So if I were to go back now, I get the impression that I'd be faced with login screens and such.

  16. Re:Blindingly obvious stuff makes headlines... aga by argiedot · · Score: 3, Insightful

    I thought the bit where the best result would be the point nearest the line from the origin to the polytope (containing the bunch of points representing universities' parameters) passing through the point representing weights was the important bit not that different weights give different results. While what you said _is_ blindingly obvious, the other thing isn't. It might be more useful to use this method than to simply recalculate all scores using the new weights.

  17. And next..... by Gat0r30y · · Score: 2, Insightful

    Huggins and Pachter are now applying their methods to voting in elections with more than two candidates.

    Elections have more than two candidates?

    damn I gotta get out of the US for a while

    --
    Prediction: The real iPhone killer is going to be sex robots from Japan. Think about it.
  18. No link to paper? by siwelwerd · · Score: 4, Informative

    I guess it's too much to ask for the article to give a link to the actual paper... http://arxiv.org/abs/0805.1026

  19. Rankings by Anonymous Coward · · Score: 5, Insightful

    I've actually played with ranking data quite extensively, and usually for reasonable weighthings of the parameters the movement in position is in the order of plus/minus 5 places. Sure, Penn State would be number one if all one cared about is retention rates, but really nobody does. Instead we can define a range of reasonable weights for retention rates (say between 7% and 35% of the total weight) and test all possible combinations in that space, suddenly Penn State place goes up and down a fairly small amount.

    A bigger concern is what is the value of selecting a school based on the ranking as a whole, without paying attention to the your likely area of major. Say, Yale is a great school but in CS is a non-entity. If you are positive CS is your thing, MIT, Stanford, Harvard and Princeton are far better choices.

  20. depends heavily on the field by Trepidity · · Score: 2, Insightful

    In technical areas (e.g. engineering), reputation within the field matters a lot more than generic reputation. People at Boeing know what the good aerospace engineering places are, and hire accordingly. If you graduated from an Ivy with an unknown engineering program, you're more likely to get responses like, "huh, I didn't even know Yale had an engineering program". Meanwhile, if you graduated from a generally lesser-known school with a top-rated engineering program (e.g. Rose-Hulman or Harvey Mudd) you're going to get plenty of offers.

  21. That's actually pretty sad... by DeadDecoy · · Score: 5, Interesting

    That's actually a pretty sad indication of how much a college name matters over what you do. I had a friend who did his undergrad at MIT, and when applying for jobs, he was insta-accepted to various tech jobs. No interview. No background checks. Just an open door. Given that, he refused those jobs because that easy entry gave him some indication as to who the companies hired and on what criteria. On the other extreme, were a couple of people who had to work twice as hard because they had to sell the college they attended. It's a little sad, but it's the reality.

    1. Re:That's actually pretty sad... by Mgccl · · Score: 2, Insightful

      It's like racism. Instead of race, it's college names.

  22. Anecdotal by Anonymous Coward · · Score: 4, Interesting

    I'm a law student. I also attend one of the most maligned law schools in the country. Not entirely by choice.

    Oh sure, I wanted to go to the University of Michigan. I wanted to go to Georgetown. I applied to a number of elite law schools, and was surprisingly accepted by most of those that I applied to. The problem was money. Law school, as you can imagine, is pretty expensive. It's typically a 3-year program that runs anywhere from $25-50k/year for tuition alone. Build in the cost of books, rent, food, etc. and you're looking at another $15-20k/year. Federal student loans aren't that generous, and the terms on the private loans make them rather detestable. While my grades were good enough to get me into those high-end schools, hey weren't good enough to make be stand out enough to get much in the way of scholarships. And since I was paying for school by myself, I had to take a look at my safety schools. So I started researching the various ranking systems and what criteria they used.

    One of the major ranking indexes I looked at, for example, heavily weighted entrance requirements as well as the attrition rate. The result was that the schools who only accepted people with the best GPAs and LSAT scores ranked high. That was expected. But the attrition rate? By its rankings, if two schools accepted students with the exact same criteria, the one with fewer failures/drop-outs after the first year ranked higher. That struck me as being really odd. A more rigorous program is desirable, and will likely result in more failures. Meanwhile, the school I go to will take in very average students the first year, and has a huge failure rate; anywhere from 20-50%, depending on who you ask. The first year professors are brutal, and the whole year is designed not only to teach you, but to weed out the people who don't really want or deserve to be there. Consequently, they get hammered in almost every ranking except for "most competitive students," where it's in the top 10 in the country.

    Then I started noticing some other oddball problems. That same ranking service said that the average undergraduate GPA and LSAT score were below the school's minimum requirements. At several schools, I noticed that, if they offered part-time programs, it looked like an incredibly low portion of the students were enrolled full time. Then I realized how they were figuring that out: it wasn't by graduation, it was by sampling year-to-year enrollment.

    Example: Say a normal student graduates in 3 years. A part-time student graduates in 6. Over 6 years, the school graduates 60 full-time students (let's say they're spread out evenly at 6 per year) and 10 part-time students. The thing is, because of their sampling, those part-time students wind up being counted for twice as long. So at any given time in that 6-year period, you have 18 full-time students, and 10 part-time students. The sample is going to show that more than 1/3 of the student body is part-time, even though the school is graduating six times as many full-time students. It's rather misleading.

    I noticed a number of other glaring issues, too. For example, prestigious schools have loads of information published, while the less prestigious schools usually have little more than a few out-of-date statistics. Self-reinforcing, no?

    In the end, it felt like the ranking systems were a complete waste. They rank everything but the quality of the education. And while I don't mean to play to the cliche, because I know it's not universally true, but I actually flew around the country and visited a couple of those "elite" schools that I was accepted into. They don't let you forget how "elite" they are. At all. The snobbery was utterly overwhelming. One of them told me that their students were "the Maseratis of law school." /gag

    I wound up going to the school that offered me the biggest scholarship.

    1. Re:Anecdotal by Icarium · · Score: 2, Insightful

      Over 6 years, the school graduates 60 full-time students (let's say they're spread out evenly at 6 per year)

      Your law school is teaching you some strange maths...

  23. Comment removed by account_deleted · · Score: 2, Interesting

    Comment removed based on user account deletion