Pharyngula

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Friday, January 21, 2005

Sexist Calvinism

No, not that Calvin, this one:

Calvin and Hobbes

The right wing has settled on a standard response to the Summers spectacle, I guess. I'm seeing the same thing over and over:

  • Summers shouldn't have apologized, he has caved in to the forces of political correctness!
  • Statistics prove that Summers was right.
  • Don't those liberals know how stupid it is to think everyone is exactly identical?
  • Steven Pinker is my hero.

Here's a perfect example: not to pick on King, but it is an ideal synthesis of the standard, wrong, conservative response.

There's the usual expression of disappointment. I don't know, I think it's a good thing when someone apologizes if they say something stupid. Maybe Summers is learning, and that's always a good thing.

Then there is the usual statistical argument, that I've also seen come up in the comments here.

The distribution of natural endowments for math abilities for men show the same mean but greater variance than math abilities for women. Therefore, men will be disproportionately represented at the tails of the distribution relative to women. In other words, there are likely to be more men in society than women with unusually poor and below-average math skills.

To play the same game, though, there's another statistical fact: if there is even a slight, pervasive bias against one group, that shifts the mean a small amount in one direction, that also means you will have a disproportionate effect on their representation in the tail of the distribution.

But hey, guess what? Correlation is not causation, and you can't use these kinds of distributions to argue for innate differences—they can be equally well (better, to my mind) explained by environmental factors. Also, these statistical games may be correct, but if and only if the property of success in science and math is a simple one, with one quantifiable attribute that is an indicator of this mysterious parameter called "math ability". It's like IQ—one number, bang, we can take a complex human being and fit them into a slot on a histogram, and define and predict their performance. It's an assumption that there is a single optimum and a denial that there are multiple strategies for success in science and math. I know some few scientists and mathematicians, and they are all different; the simplistic reduction of complex properties to one-dimensional cartoons that support comfortable stereotypes is patently false.

A commenter at SCSU Scholars doesn't comprehend this, and makes a lovely straw man:

For anybody to say that given only the above two variables (not to mention dozens of others) - to maintain that the brains of individuals have to be identical - shows that person must either be hopelessly uneducated or worse must be disposed to a religious like fanaticism towards some highly questionable ideals.

He's got it backwards. We aren't saying men and women are the same, but that they may very well have some slightly different intellectual properties, and most importantly, all individuals are different. Meanwhile, people like Summers are trying to impose a single simplistic standard on scientists, modeled on a few extremes, all male. Summers even suggested that in his remarks about "80 hour work weeks"—if your ideals are pathologically freakish males, don't be surprised when few females fit the template. But don't think you are selecting for good scientists; you're selecting for freakish males, instead.

(Speaking of freakish males, one mathematical ideal would be Paul Erdös. If we selected for his peculiar set of traits in job searches for mathematicians, we might get some fine researchers, but very few women. But are all great mathematicians like Erdös? I would hope not.

By the way, Erdös also weighed in on this issue, in his own strange terminology:

Two of his brightest epsilons [children] once asked why there were so few female mathematicians. He explained that it wasn't a lack of ability: "suppose the slave children (boys) would be brought up with the idea that, if they are very clever, the bosses (girls) will not like them—would there be then many boys who do mathematics?" Both said well, perhaps not so many.

Pretty damn smart, that Erdös. But I wouldn't want to live like him.)

One extremely popular source among the defenders of chauvinism is Steven Pinker.

Perhaps the hypothesis is wrong, but how would we ever find out whether it is wrong if it is "offensive" even to consider it? People who storm out of a meeting at the mention of a hypothesis, or declare it taboo or offensive without providing arguments or evidence, don’t get the concept of a university or free inquiry.

I don't think he's a very credible source, because he has a conflict of interest. If people started walking out on presentations of fact-free, unsupported hypotheses, Pinker wouldn't have a career.

Pinker is spinning the story. People weren't irate because Summers presented a tentative hypothesis, but because Summers, an administrator with much clout in hiring and firing, presented a badly formed hypothesis with no evidence to support it, that contradicted what we know about the complexity of biology, and he misrepresented it as the result of current, "cutting-edge research." This is exactly what we see from creationists, too. They will say that the idea that the earth is only 6,000 years old is simply a legitimate scientific hypothesis, supported by many top-notch researchers, and we're violating the spirit of free inquiry by rejecting it. But it's not. It's been considered and rejected, and is an utterly ludicrous idea. And if the president of my university smugly spouted off such garbage, I'd be outraged and looking to see him fired too, as someone patently incompetent to lead a research university.

Context matters. We consider hypotheses of innate differences all the time in science; that's very different from an administrator using half-baked ideas to rationalize away cultural stereotypes and prejudicial policies.

It just seems to me that the fact that women are subject to widespread, long-term bias against their scientific abilities, yet some still persevere and manage to make it, is convincing evidence that the "hypothesis" that they are innately inferior in these fields is bogus. You can come back and tell me about "distribution curves" and "long tails" when the playing field is level and you can actually legitimately provide appropriate data.


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Comments:
#13956: — 01/21  at  11:33 AM
"People weren’t irate because Summers presented a tentative hypothesis, but because Summers, an administrator with much clout in hiring and firing, presented a badly formed hypothesis with no evidence to support it, that contradicted what we know about the complexity of biology, and he misrepresented it as the result of current, “cutting-edge research.” This is exactly what we see from creationists, too. "

Don't forget Hitler.



#13961: Bryson Brown — 01/21  at  11:56 AM
Pinker's political stuff is really a sad disgrace. Hypotheses that fit the (local) data are easy to come by when it comes to big social issues: There are all kinds of facts about various distributions, and causal ideas that would explain them are a snap to invent. But it's a silly game if we don't impose more constraints than that. Which facts about which distributions are of interest? What kinds of hypotheses (why genetics and why gender)? How do we actually test them (what kind of controls or comparisons can we use)? Here we need contrasting tests of alternative hypotheses...! Opinion (in the pejorative old Greek sense of the word) dominates evidence and critical thinking here. And opinion operating beyond these constraints is just prejudice.

I suspect the apology has more to do with politics than a real recantation-- but maybe a little learning is going on too. I'd prefer to be a little optimistic.



#13962: — 01/21  at  11:57 AM
Those people who keep taking the 'you are being too serious, and a hyperventilating feminazi too' approach are being obtuse. If Roger Clemens throws a ball high and inside and removes the top button on the batters uniform, it is because Roger Clemens meant to put the ball there. He is a professional, one of the best and ball control is assumed.

Word control is just as much a part of the daily life of a university President.

Neither Roger, nor Larry can afford to have too many accidents.

As for Calvin, I hate to inform him that my wife likes interesting cars, motorycles, computers and power tools, just like I do.



#13966: — 01/21  at  12:08 PM
Here's a way to put it into context at an admittedly oversimplified neuroanatomical level. Yes, I know about all the bad arguments against using "brain size" arguments, but this puts it into a very simple context. In terms of neuroanatomy, male and female brains are virtually identical. There are some statistically significant differences, such as the anterior commissure, corpus callosum, and a few others, I'm sure. But again, thinking in terms of percentages, it's a very very tiny percentage of the total brain that is different between males and females. Researchers focus on these differences because, well, they're different (statistically), and perhaps studying their development and function can tell us something about males and females, in general. However, using a few small, characterized differences in a couple brain areas to explain differences in a complex behavior such as "math skills" requires an enormous leap of illogic. There's just no rationale to make that leap.



#13967: P. M. Bryant — 01/21  at  12:09 PM
Thank you for another excellent post on this subject. Sadly, there is at least one semi-prominent progressive blogger with the same attitude (Mark Kleiman).



#13970: mattH — 01/21  at  12:27 PM
Lovely about Kleiman. It's best not to refer to him as progressive, though. He's really not.

Thanks for the roundup and excellent synopsis/rebuttal PZ. Hopefully this gets repeeated and linked to everywhere it needs to be.



#13978: — 01/21  at  01:02 PM
You can't spell sucks without scsu...



#13981: — 01/21  at  01:06 PM
Meanwhile, people like Summers are trying to impose a single simplistic standard on scientists, modeled on a few extremes, all male. Summers even suggested that in his remarks about “80 hour work weeks”—if your ideals are pathologically freakish males, don’t be surprised when few females fit the template. But don’t think you are selecting for good scientists; you’re selecting for freakish males, instead.

I'd like to refute this point. The 80-hour workweek is indeed freakish, but is how you succeed in the most selective professions. It's not just in science, but also in law and in performing arts, but actors of both genders don't usually complain about their 12-hour days and 6-day weeks. Given the choice between a Ph.D. who works 80 hours a week and therefore publishes 6 articles a year and a Ph.D. who works 40 and publishes 3, who do you think the head of department will choose to fill the latest assistant professor vacancy?

I've read an article about how one of the reasons women succeed less than men in the academia is that they are more cooperative. The academia values competitiveness, and female Ph.D.s tend to have a mindset more geared toward doing things as a team, which screws them in the usual criteria for advancement. Furthermore, that article says, women are more likely to cooperate with their Ph.D. advisors in future research than men, whereas to get ahead in the academia you're supposed to challenge your advisor and overthrow existing theories. I've also read a similar article about how women are more likely to be cooperative in law, which again screws them with regards to things like the Socratic method in law schools.

In both cases, I think it makes sense here for the academia to pass the buck along to the factors responsible to overvaluing cooperation and not working insane hours to get ahead.



#13985: — 01/21  at  01:23 PM
Word control is just as much a part of the daily life of a university President.


And, seeing that "cutting edge research" has also shown that females have better verbal reasoning skills than males, perhaps males are just not cut out for the rhetorical complexity of the world of the college president...



#13986: — 01/21  at  01:35 PM
Ron, do you have any reference for your statement that, "In terms of neuroanatomy, male and female brains are virtually identical"? I'd be thrilled to read about such a research.



#13992: — 01/21  at  02:00 PM
Hi Alon,

The reference that I used is a textbook, "Brain Mind and Behavior" by Bloom Nelson and Lazerson (2001 Worth Publishers). It's stated in most basic neuroscience texts as well. It's outside my area of research, so I haven't looked at the primary research, but there's quite a bit of research that has studied detectable, statistical differences in certain brain regions. By deduction, thus, I am concluding that that means other areas show no detectable differences. For example, there are very few detectable differences in cortical structures (Planum temporale, an area believed to be involved in language processing, is more asymetrical in males than in females). Not surprisingly, several of these areas are also in the hypothalamus, dealing with visceral functioning/hormonal regulation. One area is even known as the "sexually dimorphic nucleus of the preoptic area" (Kandel, Schwartz, and Jessell, 2001, Principles of Neural Science p. 1143).

Bottom line: while there are anatomical differences, I am not aware of any specific research that links these anatomical differences to specific cognitive differences between males and females.

Ron



#13994: P. M. Bryant — 01/21  at  02:05 PM
Furthermore, that article says, women are more likely to cooperate with their Ph.D. advisors in future research than men, whereas to get ahead in the academia you’re supposed to challenge your advisor and overthrow existing theories.


In the scientific fields I am directly familiar with, challenging your advisor was never a recommended career move. In fact, doing so was a good way to end your career before it even began.



#13998: — 01/21  at  02:12 PM
In the scientific fields I am directly familiar with, challenging your advisor was never a recommended career move. In fact, doing so was a good way to end your career before it even began.

Before or after you get a Ph.D.?

Anyway, maybe challenge wasn't the right word - maybe "better" is better. It's been a while since I read the article and the earliest I'll be able to read it again and post a link here is Monday. Either way, the basic idea is that you have to compete by being independent of your advisor after you get a Ph.D. and being better than him/her by, for example, proposing a better theory.



#13999: — 01/21  at  02:12 PM
If people started walking out on presentations of fact-free, unsupported hypotheses, Pinker wouldn’t have a career.

Indeed!

It's a novelty in linguistics when someone actually cites Pinker. It's invariably something from before he was famous.



#14003: — 01/21  at  02:38 PM
Either way, the basic idea is that you have to compete by being independent of your advisor after you get a Ph.D. and being better than him/her by, for example, proposing a better theory.


Man, if I ever get to the stage in my scientific career where I can truly "propose a better theory", I'll be in some pretty distinctive company!! Not even Ramon y Cajal is credited with a "theory." His work is simply stated as the "Neuron Doctrine", a mere extension of Schwann's Cell Theory to include the nervous system.

Truly new theories don't come around that often.



#14004: — 01/21  at  02:39 PM
Ron,

Okay, thanks for the reference. Though, to be honest, I'll have to take your word for it about what it says, because judging by your quote I'll only understand the function words if I read it, and there are no reviews of it on Amazon.



#14009: — 01/21  at  02:59 PM
For another, more readable reference for the layperson, Scientific American did an OK job (IMO) describing sex differences in the following article:

Kimura, D. August 2002. Sex differences in the brain. Scientific American, vol. 12, issue 1.

Reading between the lines in this article: Researchers are constantly looking for sex differences in brain areas. They are finding some subtle differences, but no "aha!!" differences that can explain the statistical cognitive differences between males and females.

Another key point to take home from this. Whenever there is a difference between any two individuals on any task, one assumes that there are differences in the way the two brains of the individuals functioned to complete the task. So, if there is a measurable difference between males and females on a task, there might be a measurable difference in the function of some brain area. This still doesn't get around the original point of this whole thread. Which is why is there a difference? Is it innate, or is it due to experience? Our experiences change the way our brains develop, so any adult brain difference between males and females may be due, in large part, to different environmental influences on the brain.



#14016: — 01/21  at  03:31 PM
Alright... I'll try and find that issue of SciAm.

By the way, I tried to look for the first article I mentioned on Google, and found something else that says the same thing: Barriers to Women in Academic Science and Engineering. This article talks in length about the "academic male model" of competition over cooperation.

Unfortunately, this article has a common feminist hypocrisy, namely assuming that gender is socially constructed and then wanting the academia to accomodate to these social constructions, even when they result in absurdities.

In particular, the policy suggestions: "acceptance of a female model of doing science in a collegial workplace accompanied by time for a private sphere of life apart from science; synchronizing the biological and tenure clocks by allowing a longer time span before tenure; rescinding exogamy requirements for career advancement thereby reducing the negative effects of limits on geographical mobility; provision of a signficant number of relevant role models so that younger women can envision a future in science" are absurd. The first three are a nicer way to say that the academia should tolerate mediocrity. The fourth is possible only after a critical mass of females have attained high-level positions in the academia.



#14076: — 01/21  at  11:53 PM
"Meanwhile, people like Summers are trying to impose a single simplistic standard on scientists, modeled on a few extremes, all male."

Tipping over the edge; the whole scientist-engineering-mathematical-paradigm is western, white, and male.



#14078: — 01/22  at  12:03 AM
"He’s got it backwards. We aren’t saying men and women are the same, but that they may very well have some slightly different intellectual properties, and most importantly, all individuals are different."

He's got it exactly right. The comparison is made between people in very narrow life trajectories, not at all the general population. With so many variables held constant, the differences between genders are not drowned out by "all individuals are different".



#14079: — 01/22  at  12:03 AM
Tipping over the edge; the whole scientist-engineering-mathematical-paradigm is western, white, and male.

First, it's not Western - Chinese and Indian intellectuals had similar systems, which they produced independently. Second, just because virtually all human societies are traditionally patriarchal doesn't mean that everything they develop is patriarchal. Or do you believe that 1+1=2, things fall when dropped, and feminism (a product of the Enlightenment, a movement of males) are all patriarchal concepts?



#14083: — 01/22  at  12:43 AM
Alan, I'm commenting on the backwardness of Paul's implication that Summers is trying to impose a freakish male standard to keep women out. On the contrary, Summers made the point that at the highly competitive academic ends (tails of the distribution or freaks, if you will) math and engineering are dominated by males and even if you recruit women, the pool is dimishingly small. I find it highly unconvincing to lay this at Summers' feet, and see this similar to unfounded antagonism of western, white, male progress in science.

The flippant dismissal of suggestions of innate math and engineering capability, in a world where so many other talents are attributed in large part to constitutional differences is astounding and troubling. Afterall, the stratification along the institutional hierarchy has traditionally been maintained by an elitism that is soundly unegalitarian. Nobody seems to complain because, quite realistically, it's accepted that not every scientist can be at the top of their field. The frenetic huff about Summers's suggestion that sex differences may account for some of that stratification, when there is, indeed, empirical support for this, has been over the top.



#14086: — 01/22  at  07:05 AM
A lot of people here are failing stats 101. The key point to this whole argument, and the point PZ was making, is that while there are slight, predictable differences when you measure a large population in some abstract ability such as "math skills," this general effect has absolutely no value in predicting the abilities of any single individual in either group. The populations overlap entirely. Summers screwed up based on this very basic statistical misunderstanding.



#14088: — 01/22  at  07:56 AM
Eudoxis: alright, then. I thought that your comment about Western while males was serious. Sorry. By the way, my name is Alon, not Alan... native English speakers mispronounce my name as Alan all the time, though. Anyway, I think Ron's point about male and female cognition being identical but for social conditioning should completely refute Summers' suggestion. Whether the outrage about his comment was motivated by pure PCness or by knowledge that he was wrong and ignorant is another issue.



#14090: — 01/22  at  09:34 AM
Alon (sorry!), perhaps you can point us to a study that purports to show that "male and female cognition being identical but for social conditioning". There is a lot of handwaving and for good reason; it's very difficult to tease apart innate ability from ability modulated by culture. However, the persistent labor trends that correlate with empirical testing, despite changing culture, do imply a resistant feature to abilty. Funny isn't it, that when academic doors were thrown open to women that they populated the halls in predictive fashion.

Strong claims about the effects of subtle social pressure are unsupportable. Reasonable people accept that a contribution of innate ability may play an additional role in life trajectory for individuals. The brain is not as plastic as the utopian idealists would like.



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