Douglas Hofstadter's Gödel, Escher, Bach contained some interesting musings on recursion, computation, self-reference, and so on. But of course is main "oomph" was that it was going to use all of these musings to explain consciousness. And the explanation? "This is it -- this is what consciousness is . Consciousness is that property of a system that arises whenever there exists symbols in the system which obey triggering patterns somewhat like the ones described in the past several sections" (385). Can you imagine someone in a real science, one that makes real discoveries, offering an "explanation" like that? "Planets just are those celestial objects that move in the sky in that funny way." "Atoms just are those things that cause chemicals to form in the patterns they do." "Evolution just is the process of new species coming into being." Such a phony would be laughed right out of the scientific community. In a real s
Isn't this probably just a statistical likelihood given the relative populations sizes of blacks and whites in the USA ?
ReplyDeleteDidn't know they kept stats on who asked whom.
ReplyDeleteNo, Gabe, nothing here about who asked whom: but I think in suspecting that that was in these stats you are on to the key here.
DeleteI thought you left something out by accident, and the puzzle was why this discrepancy exists.
DeleteYou ever read Steve Sailer's thoughts on this subject? They're a little reductive, but I think they're more humane than the other explanation that occurs to me.
Gabe, the actual explanation is purely mathematical.
DeleteBoth? Whites prefer to marry each other (racism!). White women in particular are in relatively high demand comparitively and white men have given themselves a near monopoly on access to them (privilege!).
ReplyDeleteOn first sight this just appears to be a mathematical relationship between the relative populations. Do you have some numbers for us?
ReplyDeleteYe
DeleteS, traumerei, that's right. But many people might miss that point.
Well the reason I wanted numbers is because African Americans are 13.6% (12.6% if counting "pure" blacks) of the population whereas White Americans (including Hispanic Whites) are 78%.
DeleteAt most this yields a ratio of 6.2x not 8x.
I was using old numbers from Schelling
DeleteIn a population made up 15% of raceA and 85% of raceB and the race of your marriage partner was random then 15% of raceA would marry someone of the other own race and 85% of raceB would marry someone of the other race.
ReplyDeleteSo random choice of marriage partner would generate the result you describe.
Very good, Rob, you got it!
DeleteTalk about decoy codes! You haven't even cracked your own code here, Gene. Unless I'm missing something the proposed puzzle solution has nothing to do with the actual question. It seems you've masked a legitimate intro to stats question with a rather interesting, more subtle problem - and then claimed the whole point of the question was to illustrate the stats lesson.
ReplyDeleteWhere does "white privilege" come into play in (either) foolish statistical analysis? I truly don't get it. The statistical question is cute when stated well, but given the particulars of your problem statement the statistical nature of interracial marriage is the real problem. There are many people who claim that white privilege is alive and well in the marriage market! Talk to asian males or black females sometime about it.
"Where does "white privilege" come into play in (either) foolish statistical analysis?"
DeleteThat was "humor."
Well, and there's also the simple mathematical fact that there COULD never be percentage parity. If 100% of American blacks married whites, then ~12.5% of whites would be married to blacks (IIRC, African-Americans are ~12.5% of the population right?).
ReplyDeleteYes, Tom, you've analyzed this exactly right. But for many people, this would be a conumdrum.
DeleteWell that's not nearly as interesting.
ReplyDeleteStill, I'm a little confused by Rob's comment. There aren't enough members of Race A for 85% of Race B to marry. Maybe I'm misunderstanding something.
And Tom's forgetting that the ~12.5% black population comes out of the total, so ~14.3% of whites would marry blacks if there were no all black marriages. You should link to Landsburg more often, your commentariat needs the practice.
Gabe,
DeleteYeah, math is not my strong suit ;-)
What's Landsburg?
Haven't read the rest of the comments, but as I'm sure many have pointed out it's a matter of arithmetic.
ReplyDeleteThe numerators have to be exactly the same (assuming none of these are fundamentalist Mormons), so the rates are governed by the denominators.
Wow, is there a good example of someone making this error (or a closely analogous one)? I took this as a joke until I saw the comments.
ReplyDeleteSchelling writes a good bit about how people often overlook this simple identities. That's what inspired this post.
Delete