Comments, observations and thoughts from two bloggers on applied statistics, higher education and epidemiology. Joseph is an associate professor. Mark is a professional statistician and former math teacher.
Friday, November 25, 2011
Peak Life Expectancy
But what was fascinating was the map in the article. The places in the United States where life expectancy is dropping are focused mainly in the Southeast. Now that distribution is, itself, interesting as the southeast has long had health issues: think of the classic stroke belt. Furthermore, it is an area of high inequality that has a climate that is very compatible with a sedentary lifestyle.
Contrast this with the California coast (and especially Los Angeles) where life expectancies are actually rising, or even New York city. Could it be that an urban lifestyle is actually life enhancing (both in terms of quantity and quality)?
So perhaps, instead, what we have is an ecological experiment to really try and understand these phenomena.
Glycemic control and diabetes: today's evidence
Intensive glycaemic control for patients with type 2 diabetes: systematic review with meta-analysis and trial sequential analysis of randomised clinical trials
The article is free online but let me quote from the conclusion:
Intensive glycaemic control does not seem to reduce all cause mortality in patients with type 2 diabetes. Data available from randomised clinical trials remain insufficient to prove or refute a relative risk reduction for cardiovascular mortality, non-fatal myocardial infarction, composite microvascular complications, or retinopathy at a magnitude of 10%. Intensive glycaemic control increases the relative risk of severe hypoglycaemia by 30%.
This is actually quite important. It is very difficult for patients to maintain low levels of blood glucose, with consequences in both quality of life and adverse events. Tight glycemic control, for example is the reason that some policy makers have concerns about diabetics driving (due to worries about hypoglycemic attacks).
Given the difficulty of getting diabetics to adhere to tight glycemic control (and concerns about issues like driving), perhaps we should be more cautious in pushing tight control? More interestingly, we should ask why this association seems non-linear, as it is obvious that objectively poor glycemic control is very cardiotoxic.
But this was a very interesting paper for highlighting what we do and not not know.
Tuesday, November 22, 2011
Things that make you wince science writing edition
Milgram's Small World
The Butterfly Effect
Now that we've got things started, I'm opening the floor to nominations. What science stories can you count on to make you wince?
Tax Levels
If we adopted 21% of GDP as a future target for balancing the budget, we would be saying government spending will be less while the baby boomers are eligible for Medicare and Social Security than it commonly was when they were paying taxes to support these same programs. This will be very hard. Plans seeking balance at lower levels seem implausible.
I think that this is worth keeping in mind. A 21% of GDP budget target would already be a painful and difficult process to achieve with the headwinds we have already due to population aging. Lower levels require a really novel idea about how to reverse these headwinds.
But the options that might really shift the balance (immigration) seem to be out of favor right now.
Sunday, November 20, 2011
Toys for Tots -- reprinted, slightly revised
If you're new to the Toys-for-Tots concept, here are the rules I normally use when shopping:
The gifts should be nice enough to sit alone under a tree. The child who gets nothing else should still feel that he or she had a special Christmas. A large stuffed animal, a big metal truck, a large can of Legos with enough pieces to keep up with an active imagination. You can get any of these for around twenty or twenty-five bucks at Target;
Shop smart. The better the deals the more toys can go in your cart;
No batteries. (I'm a strong believer in kid power);*
Speaking of kid power, it's impossible to be sedentary while playing with a basketball;
No toys that need lots of accessories;
For games, you're generally better off going with a classic;
No movie or TV show tie-ins. (This one's kind of a personal quirk and I will make some exceptions like Sesame Street);
Look for something durable. These will have to last;
For smaller children, you really can't beat Fisher Price and PlaySkool. Both companies have mastered the art of coming up with cleverly designed toys that children love and that will stand up to generations of energetic and creative play.
* I'd like to soften this position just bit. It's okay for a toy to use batteries, just not to need them. Fisher Price and PlaySkool have both gotten into the habit of adding lights and sounds to classic toys, but when the batteries die, the toys live on, still powered by the energy of children at play.
The most disgusting image I could come up with in the education reform debate
Statements that I violently disagree with
Congratulations to Matt Yglesias on his new gig. He’s arguably the best progressive economist in the blogosphere, which isn’t bad given that he’s not an economist. I said “arguably” because Krugman’s a more talented macroeconomist. But Yglesias can address a much wider variety of policy issues in a very persuasive fashion. So he’s certainly in the top 5. His blog is the best argument for progressive policy that I’ve ever read. (But not quite persuasive enough to convince me.)
Now do not get me wrong: I post a lot about Matt Yglesias because I think that he is a fine thinker and has some really nice points to make. But there is now way he is competitive to be the top progressive economist in the blogosphere. I can't claim to be an expert but, off the top of my head, I have have:
Noah Smith
Paul Krugman
Bradford Delong
Mark Thoma
Plus the Worthwhile Canadian Initiative folks occasionally drift into progressive territory and are always worth reading. And this is just off the top of my head and including blogs I read regularly. Again: the provocative policy thinker with good ideas and a solid grasp of economists label definitely applies to Yglesias. But I find him a very odd choice for #1 given the alternatives. If anything, I find him awfully centrist on economic matters, at times (which, I suppose, could explain the appeal).
Saturday, November 19, 2011
Evaluating evidence
And in the end, Ryan’s answer is that we need strong economic growth, the kind that we get by cutting taxes on the rich. Because that’s why the Clinton years were an economic disaster and the Bush years so prosperous.
Is this strong evidence?
First of all, we need to consider a number of causal hypotheses:
1) Tax rates on the rich are unrelated to economic growth
2) Higher tax rates on the rich increase economic growth
3) Economic growth makes it easier to tax the rich
4) Higher tax rates on the rich decrease economic growth
Then we need to consider lags between tax policy and changes in economic growth. I am suspicious of anyone who says that this is an easy problem. After all, what we really want (the counterfactual of what would happen if Bush/Clinton not changed tax policy) is completely unavailable.
So what value is this evidence?
It does rule out one very clear talking point in the debate. It suggests that moderate changes in tax policy (Bush Tax cuts) do not have a stronger effect on economic growth than the economic fundamentals do. We may even take this as weak evidence of hypothesis #4 above (with all of the caveats about not being able to make a strong inference).
So the ideas that tax cuts [focused on high income earners] are a good response to short term problems with weak economic growth seems to be contrary to the best evidence available. Nor does looking at period like the 1950' (with very high marginal rates and rapid growth) seem to provide a lot of support for Hypothesis #2.
But if it is case that Hypothesis #2 is true, we know that it is unlikely to overcome other economic issues (or it would have made the Bush years a time of prosperity). Or, in other words, that the overall effect size of this tax policy change is small relative to other factors (if it works in the direction predicted by Hypothesis #2). Now one can reframe this as a moral question, and some do.
But it is worth considering that, in the absence of controlled experiments, how do we update our expectations when a strategy that sounds reasonable doesn't seem to give expected results.
Friday, November 18, 2011
Why aren't you reading the incidental economist?
Consider this statistic:
By 2010, more than 60% of people lived in areas where insurance premiums cost at least 20% of their income. And that’s just premiums; it doesn’t include deductibles, it doesn’t include co-pays, and it doesn’t include co-insurance.
This is likely unsustainable. The growth rate of insurance is far above that of wages, meaning that health care costs are going to consume a higher and higher percent of people’s incomes in the future. Moreover, this is a problem of the non-elderly. Because of Medicare, few elderly have premiums which consume this level of income.
This statistic very nicely frames the entire underlying issue with the explosion in medical costs. Placed in such stark terms, the question shifts from "can we reduce medical costs" to "how are we going to reduce medical costs".
Thursday, November 17, 2011
Hard work
One basic idea is that hard work should be rewarded. Obvious, right? I mean, we're supposed to be economists here! People respond to incentives, and they are risk averse. A winner-take-all society is not very conducive to hard work; I'm not going to bust my butt for 30 years for a 1% shot at getting into The 1%. But I am going to bust my butt for 30 years if I think this gives me a 90% chance of having a decent house, a family, some security, a reasonably pleasant job, a dog, and a couple of cars in my garage. An ideal middle-class society is one in which everyone, not just anyone, can get ahead via hard work.
Even more interesting, he points out the underlying ambivalence among conservatives as to whether hard work has a causal link to productivity:
Conservatives, meanwhile, are all too often divided on whether they actually believe that hard work works. Plenty of conservatives have undermined Cowen's hard-work-and-discipline bloc by saying that success in life is all due to natural differences in ability. These "I.Q. conservatives" see inequality as the natural order of things. They have focused on getting people to accept their place in society and learn to live with what they have, rather than strive to move up in the world. This is a very Old British sort of conservatism, a nobility-and-peasants ethos dressed up in the faux modernism of psychometric testing.
Conservatives need to look in the mirror and ask themselves: "Do we really want people to work hard and be disciplined? Or do we just say that in order to keep the peasants from getting restless, when deep down we believe that it's all about good genes?" Because if it's the former, conservatives should do some hard thinking about what actually gets people to work hard. And they should think about how to respond to those among their colleagues for whom it is simply the latter.
I think that the "I.Q. conservatives" (as Noah calls them) are actually a fairly concerning movement. We all know that social structures based on accepting one's lot in life (think feudalism) have shockingly low levels of productivity. A social creed that suggests that this lack of productivity is due to innate personal differences is also one that cannot address any social dysfunction that may be present. After all, if the reason person A is successful is that they are the "right sort of person" then we don't have to handle questions like "why is person B unsuccessful".
A broad adoption of this ethos would be an unfortunate outcome for any society because it then concentrates decision making ability into a more and more restricted class. Democracy and capitalism succeed by making the information base broad. It's not that they always succeed in creating good outcomes. But the track record of a narrow elite making decisions is . . . poor.
Laboratory animals in biomedicine -- a recycled reply
Landscapes and Lab Rats
In this post I discussed gradient searches and the two great curses of the gradient searcher, small local optima and long, circuitous paths. I also mentioned that by making small changes to the landscape being searched (in other words, perturbing it) we could sometimes (with luck) improve our search metrics without significantly changing the size and location of our optima.The idea that you can use a search on one landscape to find the optima of a similar landscape is the assumption behind more than just perturbing. It is also the basis of all animal testing of treatments for humans. This brings genotype into the landscape discussion, but not in the way it's normally used.
In evolutionary terms, we look at an animal's genotype as a set of coordinates for a vast genetic landscape where 'height' (the fitness function) represents that animal's fitness. Every species is found on that landscape, each clustering around its own local maximum.
Genotype figures in our research landscape, but instead of being the landscape itself, it becomes part of the fitness function. Here's an overly simplified example that might clear things up:
Consider a combination of two drugs. If we use the dosage of each drug as an axis, this gives us something that looks a lot like our first example with drug A being north/south, drug B being east/west and the effect we're measuring being height. In other words, our fitness function has a domain of all points on our AB plane and a range corresponding to the effectiveness of that dosage. Since we expect genetics to affect the subjects react to the drugs, genotype has to be part of that fitness function. If we ran the test on lab rats we would expect a different result than if we tested it on humans but we would hope that the landscapes would be similar (or else there would be no point in using lab rats).
Scientists who use animal testing are acutely aware of the problems of going from one landscape to another. For each system studied, they have spent a great deal of time and effort looking for the test species that functions most like humans. The idea is that if you could find an animal with, say, a liver that functions almost exactly like a human liver, you could do most of your controlled studies of liver disease on that animal and only use humans for the final stages.
As sound and appealing as that idea is, there is another way of looking at this.
On a sufficiently high level with some important caveats, all research can be looked at as a set of gradient searches over a vast multidimensional landscape. With each study, researchers pick a point on the landscape, gather data in the region then use their findings to pick their findings and those of other researchers to pick their next point.
In this context, important similarities between landscapes fall into two distinct categories: those involving the positions and magnitudes of the optima; and those involving the search properties of the landscape. Every point on the landscape corresponds to four search values: a max; the number of steps it will take to reach that max; a min; and the number of steps it will take to reach that min. Since we usually want to go in one direction (let's say maximizing), we can generally reduce that to two values for each point, optima of interest and time to converge.
All of this leads us to an interesting and somewhat counterintuitive conclusion. When searching on one landscape to find the corresponding optimum of another, we are vitally interested in seeing a high degree of correlation between the size and location of the optima but given that similarity between optima, similarity in search statistics is at best unimportant and at worst a serious problem.
The whole point of repeated perturbing then searching of a landscape is to produce a wide range of search statistics. Since we're only keeping the best one, the more variability the better. (Best here would generally be the one where the global optimum is associated with the largest region though time to converge can also be important.)
In animal testing, changing your population of test subjects perturbs the research landscape. So what? How does thinking of research using different test animals change the way that we might approach research? I'll suggest a few possibilities in my next post on the subject.
Wednesday, November 16, 2011
The limitations of laboratory animals in biomedicine
But the real kicker was the discovery that control mice are overfed, under-stimulated and obese. This puts an entirely new spin on studies that restrict caloric intake. They may be saying that eating a normal diet is life enhancing and not caloric restriction. These sorts of blind alleys can have enormous consequences.
Go and read -- it is worth it.
Tuesday, November 15, 2011
How not to convince people
Not a good start for a dynamic movement seeking change.
Tone poem -- how Duncan Black and company missed the big picture
Take a look at this excerpt from All Things Considered:
RAZ: In the just short time we have left, E.J., I want to ask you about Penn State - both of you. Obviously, the university president and the head coach, Joe Paterno, were fired by the board of trustees.
Do you think they should've considered shutting down the program for a year?
DIONNE: Yeah. Well, you look at that indictment, I mean, what happened was hideous. What was done to kids, 10-year-old boy and others that young, was just awful. And you had an institution that seemed more interested in self-protection than anything else. And we've seen that before.
And I understand Joe Paterno is a much-loved figure in sports terms. He was one of the better college coaches. His kids graduated. But this entire episode is so ugly and it, again, you hate institutional protection over the interests of little kids.
RAZ: David.
BROOKS: Yeah, I guess think - it's I have a bigger view, which is that when we have a society where we don't know how to handle the concept of evil when we see it, we don't know how to deal with it, we're not really aware of it and people hid away. I do not think they should shut down the program, however. I think a lot of very honest football players have committed themselves to that program. I don't think they should be punished.
If you've followed any of the major debates going on now, you have to be discouraged by the lack of progress. You will see some good substantive arguments but more often the pundits will simply focus on maintaining the appropriate tone and making the right associations.
David Brooks is a master of this kind of punditry. That skill has allowed him to maintain his reasonable conservative persona under very difficult circumstances (look at what happened to David Frum). See how he hits both notes here, first chastising us for moral relativism then warning against excessive reaction. In terms of tone, this combination of conservative values and measured responses is almost perfect. As an argument, though, it's gibberish.
There is no way to reconcile the two sides here. You can't condemn society for lacking the strength and clarity of vision to deal with evil then recommend that we not punish an institution that tolerated and enabled genuine atrocities. Brooks, who is a very intelligent man, undoubtedly knows what he said makes no sense, but he also knows that, as long as maintains that proper tone, most people won't care.
Monday, November 14, 2011
Cross sectional reasoning
I highlighted one in particular: Astronomy and Astrophysics. Note that it has a 0% unemployment rate; in other words, last year everyone who majored in these fields got a job! Now, I find myself being a tad skeptical about this, but if there’s some weird thing going on with this survey, I can at least make the broad assumption that the relative job numbers are probably OK. Majoring in astronomy is still a good idea, and will strengthen your chances of getting a job after college.
I want to take this in a different direction. What this metric shows is that, if you were lucky enough to have majored in Astronomy in 2005 then you were very likely to be employed in 2010. It says nothing about what will happen to somebody who enters the program in 2011 and whether they will be employed in 2015.
See, I was actually a physics major in the mid 1990's, in a school with a large astrophysics group. I knew a lot of these students and even took classes with them. Do you know what they mostly ended up as: High School Teachers. Plus a few academics. At the time there was a terrible job placement rate in physics and we were all depressed by the poor employment outcomes. Using the tool, I see a 4.5% unemployment rate for physics, which does make me wonder how many astrophysicists are counted in this group.
But, in general, past performance is no guarantee of future employment. A depressed job market could easily have led to full employment years later, long after only the most dedicated students remained. I've seen this phenomenon in a lot of fields -- people go where the markets signal but, in education, the signals are lagging indicators.
So maybe we are seeing the unemployment ghettos of the future?