By James Kwak
One more thought: In their response, Reinhart and Rogoff make much of the fact that Herndon et al. end up with apparently similar results, at least to the medians reported in the original paper:
So the relationship between debt and GDP growth seems to be somewhat downward-sloping. But look at this, from Herndon et al.:
By James Kwak
Many people have spilled far more words on this topic than I can read, but I wanted to point out a few things that seem clear to me:
- As Daniel Engber pointed out, the fact that Obama won (and that Silver called all fifty states correctly) doesn’t prove that Silver is a genius any more than Obama’s losing would have proven that he was a fraud.
- In fact, Silver appears to have gotten a couple of Senate races wrong, but that still doesn’t prove anything, since his model spits out probabilities, not certainties.
- To my mind, the crux of the debate was between: (a) people who believe that it is meaningful to make probabilistic statements about the future based on existing data (both current polls and parameters estimated from historical data); and (b) people who believe that there is something ineffable about politics that escapes analysis and that therefore there is something fundamentally wrong, or misleading, or fraudulent about the statistical approach. Silver, through no fault of his own, because associated with (a). To my mind, (a) is right and (b) is wrong because of logic and math, so the idea that one election could have settled the question was crazy to begin with.
- Within camp (a), there are certainly valid methodological debates, and it’s by no means clear that Silver is the state of the art. Whether, in the last days of an election, he is any better than simple averages is an open question. The value Silver adds or doesn’t add can’t be judged by the final forecast, because one point of his model is to incorporate factors that are not incorporated in current polls (e.g., economic conditions). (Another aspect of the model is to not overreact to short-term trends—but that aspect also largely vanishes by the night before.) So the superiority of the model, if it is superior, would appear months before the election, not the night before. But that is even harder to verify by ultimate results. Ideally you would have many elections and for each one you would have a Silver forecast six months before and a simple poll average six months before and you would see which had a higher batting average. I would bet on Silver, but we’ll never have enough data to resolve that question.
If the outcome makes people take statistics more seriously and pundits less seriously, that’s a good thing, but it’s not why you should take statistics more seriously.
By James Kwak
At least when it comes to statistical issues:
(Courtesy of Nate Silver.) Gallup is the huge outlier among the tracking polls, which shows Romney leading by 6–7 points. (On average, the national polls show an exactly tied race.)
This news is a few days old, but the general principle it illustrates is timeless. Reporting tends toward the dramatic and the surprising. In some cases, that’s probably fine—like if you read the paper for entertainment. When it comes to statistics that suffer from measurement error, it’s journalistic malpractice.
Or: Why the Heritage Freedom Index is a Damned Statistical Lie
This guest post was contributed by StatsGuy, a frequent commenter and occasional guest on this blog. It shows how quickly the headline interpretation of statistical measures breaks down once you start peeking under the covers.
Recently, a controversy raged in the blogosphere about whether neo-liberalism has been a bane or a boon for the world economy. The argument is rather coarse, in that it fails to distinguish between the various elements of neo-liberalism, or moderate deregulation vs. extreme deregulation. But if we take the argument at face value, one of the major claims of neoliberals is that countries in the world which are more neoliberal are more successful (because they are more neoliberal). I disagree.
My disagreement is not with the raw correlation between the Heritage Index and Per Capita GDP. A number is a number. My disagreement is with the composition of the index itself, and interpreting this correlation as causation between neo-liberalism and ‘good things.’
My primary contention below is that many of these measures used in the composite Heritage Index have nothing to do with less government, and a lot more to do with good government. It is these measures of good government that correlate to economic growth and drive the overall correlation between the “Freedom Index” and positive outcomes. Secondarily, I will argue that many of the other items in the index (like investment freedom) are not causes of growth, but rather outcomes of growth.
This guest post is contributed by Kathryn McDermott and Lisa Keller. McDermott is Associate Professor of Education and Public Policy and Keller is Assistant Professor in the Research and Evaluation Methods Program, both at the University of Massachusetts, Amherst.
On March 29, the U.S. Department of Education announced that Delaware and Tennessee were the first two states to win funding in the “Race to the Top” grant competition. A key part of the reason why these two states won was their experience with “growth modeling” of student progress measured by standardized test scores, and their plans for incorporating the growth data into evaluation of teachers. The Department of Education has $3.4 billion remaining in the Race to the Top fund, and other states are now scrutinizing reviewer feedback on their applications and trying to learn from Delaware’s and Tennessee’s successful applications as they strive to win funds in the next round.
One of the Department’s priorities is to link teachers’ pay to their students’ performance; indeed, states with laws that forbid using student test scores in this way lost points in the Race to the Top competition. A few months ago, James pointed out some of the general flaws in the pay-for-performance logic; here, our goal is to raise general awareness of some statistical issues that are specific to using test scores to evaluate teachers’ performance.
Using students’ test scores to evaluate their teachers’ performance is a core component of both Delaware’s and Tennessee’s Race to the Top applications. The logic seems unassailable: everybody knows that some teachers are more effective than others, and there should be some way of rewarding this effectiveness. Because students take many more state-mandated tests now than they used to, it seems logical that there should be some way of using those test scores to make the kind of effectiveness judgments that currently get made informally, on less scientific grounds.
The problem is that even if you accept the assumption that standardized tests convey useful information about what students have learned (which we both do, in general), measuring the performance gains (or losses) of students in a particular classroom is far more complicated than subtracting the students’ September test scores from their June test scores and averaging out the gains. We’re concentrating on the statistical issues here; there are other obvious challenges in test-based evaluation, such as what to do for teachers who teach grade levels where students do not take tests and/or subjects without standardized tests.
Yesterday Maine voted to restrict marriage to opposite-sex couples. It’s a sad day for people who believe that all couples who love each other should be allowed to marry, full stop.
But the chart below may cushion the blow a tiny bit. It’s from a paper by Jeffrey Lax and Justin Phillips, “Gay Rights in the States: Public Opinion and Policy Responsiveness,” recently published in the American Political Science Review (via The Monkey Cage). What you are seeing is support for same-sex marriage in 1994-96, 2003-04, and 2008-09; solid dots indicate that same-sex marriage is equal, hollow dots that it is not.
Start here. Then keep reading. It has nothing to do with economics, but a lot to do with statistics.
Or don’t, if you need to get something done this morning.
Update: One reader writes in:
“I beg to differ that this link has nothing to do with economics: The same technique it uses to detect possible making-up of poll numbers was used in a recent paper to detect possible making-up of National Accounts statistics in some developing countries in a widely used economic dataset:
By James Kwak
Ezra Klein and Paul Krugman are both highlighting Nate Silver’s analysis of campaign contributions and the public health plan option. The quick summary? Campaign contributions matter – in this case, by about nine senators. Mainly I’m impressed and encouraged that people can use publicly-available data to quickly whip together plausible models answering questions that otherwise we would all just pontificate about.
Coincidentally, I was getting my car inspected this morning and picked up an October 2008 copy of New York Magazine in the waiting room, which had an article about . . . Nate Silver. The article includes a picture of the presidential electoral map as Silver predicted on October 8, in which he called every state correctly except Missouri (which, remember, took a few weeks to figure out whom it had voted for). Most of the article is about how the empirical approach to baseball turns out to be useful in other areas, like politics and public policy.
Update: Mark Thoma points out this counterargument by Brendan Nyhan (who long ago wrote a blog with the brother of one of the best developers at my company). Nyhan says “studies have typically found minimal effects of campaign contributions on roll call votes in Congress,” and cites a Journal of Economic Perspectives paper as backup.
OK, Nyhan may be right. But he may not be.