There are two major changes to my methodology, which you already see reflected in the new charts and graphics that are presently on the site. This is the easier of the two to explain, so let's handle it first.
Andrew Gelman of Columbia University was kind enough to share some of his old national polling data with me. His dataset runs from 1952 through 1992. I took his data from 1988 and 1992 (before 1988, there are only a limited number of polls available), then combined it with the data I already had for 2000 and 2004, and tracked down some 1996 data in a magical place on the internet.
If you had looked back at the polls in June in the five previous election cycles, what would you have found?
In 1988, Michael Dukakis was ahead by an average of 8.2 points in 5 June polls. In November, George Bush won by 7.8 points.
In 1992, George Bush was ahead by an average of 4.9 points in 14 June polls. In November, Bill Clinton won by 5.6 points.
I don't actually have any June polls for 1996 (if anybody's sitting on a big stash of Clinton-Dole data, you know where to find me). But in Gallup's July poll, Bill Clinton led by 17 points. In November, Clinton won by 8.5 points.
In 2000, George W. Bush was ahead by an average of 4.7 points in 14 June polls. In November, Al Gore won the popular vote by 0.5 points.
In 2004, John Kerry was ahead by an average of 0.9 points in 16 June polls (this was pretty much his high-water mark all year). In November, George W. Bush won by 2.4 points.
So in four out of the last five elections, an average of June polls would have incorrectly picked the winner of the popular vote. That's kind of a problem for anybody who is overly confident about how this election is going to turn out.
Previously, I had modeled the error in our polling averages based on 2004 data (simply because that's the data I had access to). The issue with that is that the polls were unusually stable in 2004. From April onward, John Kerry never held a lead of more than about 2 points in the Real Clear Politics national average, and George W. Bush never held a lead of more than 6 or 7 points. Those numbers pretty well framed the actual result of Bush +2.4. But as the Gelman data reveals, there was much more fluidity in previous years, and so modeling the error based on 2004 data alone would lead one to underestimate the degree of uncertainty inherent in a general election.
My error estimates are now modeled instead on the 1988-2004 dataset. I do give somewhat more weight to more recent cycles, as in general, the polls have tended to get closer to the actual margin more quickly in recent years. There are a few reasons to think this might not be an accident. For example, (i) the country has tended to get more partisan over time, meaning that there may be fewer true undecided voters than there used to be; (ii) with the proliferation of the Internet and cable news, voters now have more information about the candidates sooner than they used to, and (iii) the science of polling has probably improved over time. Nevertheless, we are accounting for quite a bit more error than we had been before.
If I look at the total miss for each poll based on the number of days until the election, I get the following, very pretty graph:
There is quite a lot of noise there, but the error can be modeled reasonably well as a function of the square root of the number of days until the election. Specifically, the curve I use looks like this:
Presently, with about 145 days to go until Election Day, we would anticipate that a typical national poll will be off my around 6-7 points. We do not know, unfortunately, which direction that miss is likely to be in. But there is reason to believe that the range of possible outcomes -- including scenarios where the election doesn't turn out to be especially close -- is wider than we had been assuming before.
6.14.2008
We don't know as much as we think (Big Change #1)
by Nate Silver @ 7:20 PM...see also history, meta, methodology, site
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44 comments
I am guessing the person leading in June tends to win in November?
lol, woops. I didn't actually read the rest of the post. How embarrassing.
I agree with you that we don't know as much as we like to think we do. There's 145 days to go (like you say) and a helluva lot can happen in that much time. I think this could be a very close election or it could be a landslide. I do think if it is a landslide it'll be in Obama's favor. The only way I see McCain winning by a large margin is if something truly insane "comes out" regarding Obama (factually based of course not just lame rumors.)
Yes. This makes the "Electoral Vote Distribution" graph look a lot more sensible. Previously, it was predicting the near certainty of a very close election. But we are VERY early in the general election cycle, and this could certainly break one or the other, making 340-200 and 440-100 splits very much in the realm of the possible.
The big move in national party ID numbers also gives some reason to assume that the near-tied elections of 2000 and 2004 are unlikely to be repeated. Super-close elections (in the electoral count) are an historical anomaly rather than the rule.
That explains the more spread out "electoral vote distribution".
It doesn't explain why the Obama vs McCain comparisons/stats jumped so suddenly.
I'm guessing that the Big Update #2 then has to do with adding Partisan Index back into the mix, as it didn't seem to be in the Regression before.
If you add Partisan Index + Higher chance of variability then certainly Obama's highside is more accurately reflected
Still, all the discussion of June-November turn-arounds has me worried, I hope this is a precident breaking year.
So your story in the NY Post that asserted that the 2008 election would be a nailbiter...is that still true in your opinion or no longer so?
Nate,
I just sent you an email with an explanation for this sort of "square root" behavior. In short, it's what you get if you model the evolution of voter preferences as a sort of random walk (or diffusion).
Ah - that makes complete sense. Do the error rates also apply to state polls though?
It seems a little odd to extrapolate the national errors down to individual states.
Also, you should probably change the Win% tag in your state by state bit so that it describes either McCain or Obama wins - the way it is right now doesn't serve you too well.
"My error estimates are now modeled instead on the 1988-2004 dataset."
I'm not sure I understand. Does this mean that the amount of randomness added to each of the 10,000 simulation runs has been increased?
I'm guessing big update #2 is including the national tracking polls as a factor in the 538 regression.
Which explains the cluster of blowouts on either edge of the distribution graph.
I'm confused. I never took your analysis to be a prediction of the winner of the election... I took it to be an indicator of the current state of play. How does this days-from-the-election margin of error affect the numbers you show?
Wagster-
Though I'm not certain, it's probable that the change means that all/national polls are not rated as strongly as they were - such that the regression is given greater weight.
The regression was also changed, which will probably be explained shortly.
Have you done anything with the Republican and Democratic votes in the primaries.
Based my predictions on states where Obama's vote was twide the total of McCains and the Democratic TOTAL was twice the Republican total.
Best, S
The new numbers seem more intuitive. The only problem I see is Florida. Obama at 38% and McCain at 63% doesn't add up to 100%.
Rabbit... it probably rounds up.
Nate,
I agree with your change in method and in the application of it to the data. The real difference that needs to be pointed out is that you have essentially gone from predicting what the election would look like if it took place today, to an attempt at predicting the November outcome based on what is currently available. Ultimately, as you state, the electoral vote distribution chart is now much flatter, reflecting the mathematical certainty. What hasn't changed, and maybe should, are your pie charts and state by state breakdowns. These are still showing only the results with the highest probability (or is it mean results?), but they do not display any indication of error. I recommend that you use light blue and pink to show 95% (or whatever your cutoff) CI (or is it posterior probability - what is your model anyway, a Markov chain?) on the Obama/McCain scores in the pie chart. That way it will be clear that although Obama wins according to the mean (or highest probability) prediction, your analysis cannot rule out a McCain victory with any confidence.
Basically the mean/highest scored result may be that Obama gets 308 electoral votes, but I think the pie charts should show that you can only predict with any mathematical certainty that he will get at least 100ish. The remaining 200ish in his score are not predicted to be present with any real confidence.
Wagster,
Nate's analysis is a prediction of the election winner.
Basically the way it works is he uses existing polling data to predict voting behavior on the day of the election, but he takes into account that polls are not perfect indicators of election results.
He simulates actual elections, where in each simulation the result is given by the polling data plus some random term that reflects the polling error. He reports the results of these simulations. Currently, it looks like Obama wins 64.7% of his runs.
Understood, of course. However, all the rest of the 49 states and DC add to 100%, so I figured I would point it out for Nate, as he is trying to avoid these rounding errors. Not a big deal.
Just echoing slack's sentiments.
slack wrote: Also, you should probably change the Win% tag in your state by state bit so that it describes either McCain or Obama wins - the way it is right now doesn't serve you too well.
Rabbit- and AK is at 101%
Can someone please explain or link me to the explanation of the Electoral Vote Distribution? Thanks!
In the state-by-state breakdown on the left column, what's the state coloring based on?
You have some purple states that don't appear to be in play at all any more (WA, OR, MN), and some red states that are more in play than some of the purple ones (IN, VA vs. FL).
State colours are based on 2004 results.
Anon @ 21:15
http://en.wikipedia.org/wiki/Electoral_vote
It's each state's number of representatives plus senators, with DC getting 3 votes as well.
Aaron: Those coloring are probably manual.
My understanding of this is essential the same as Aranae's. The analysis basically went from trying to predict the current electoral situation to trying to predict the situation in November. This has been done through this historical error margin adjustment that will "tighten" the prediction as we get closer to the election.
Intuitively, this change wasn't the one which moved the numbers in Obama's direction. All this should have done was flatten the distribution graph a bit and bring more results into play. My guess is "Big Change #2" is going to be responsible for all the stuff which is changing the EV and Win % Predictions.
Apologies for the dumb question, but what does the Electoral Vote Distribution chart actually show?
I realise that it's linked to how much movement would be required to move Electoral Votes from one candidate to another, but I don't understand the exact details.
According to this article from June 1996, Clinton had a 16 point lead on Dole:
The current 16-point lead Clinton holds over Dole in national polls...
On the other hand, this page tells a different story:
For whom would you vote -- Clinton or Dole?
Clinton Dole Won't Vote Not Sure
June 12-13, 1996 49% 43% 4% 4%
May 15-16, 1996 56% 34% 4% 6%
May 8-9, 1996** 50% 38% 5% 7%
March 6-7, 1996** 49% 40% 5% 6%
** Registered Voters
Danack,
Nate runs many simulations, and because of a random element each one has a different result. The electoral vote distribution is defined as follows:
X axis: Number of electoral votes for Obama.
Y axis: Number of simulations resulting in Obama getting X electoral votes.
The new techniques make a lot of sense. Before anybody gets too encouraged, we should remember that when the derivative is negative the new method will turn down more quickly, just as it turned up quickly in these good days.
On another point: before, you double-counted state and national unpredictability. That was good because the 2004 unpredictability numbers looked suspiciously low. Now that you have more realistic numbers, is there any reason to continue double-counting?
Informal intro to Electoral Vote Distribution graph:
When you go along the horizontal x-axis, at a given number of electoral votes, the height of the graph is the probability of Obama getting exactly that many electoral votes.
So height on the graph is probability of it happening. For example, Obama getting 300-330 electoral votes is a ton more likely than 90-120.
Red indicates McCain wins, and blue indicates Obama wins. As you can see, there is a lot more blue area than red area, indicating Obama's greater likelihood of winning.
For more, google 'probability distribution'
William O.: that Cnn/Time June poll (and earlier polls) omits Perot from the equation, so the margins are smaller.
The July CNN/ USA TODAY/ GALLUP POLL that Nate references includes Perot. Those numbers are here (and that series also included a separate presidential preference question without Perot.)
Re Clinton-Dole polling: I read somewhere recently that Dole got a bounce after Nixon died in April 2004. Of course the earlier polling couldn't have worked anything like that into its projections.
It seems from the graph that a lot of the biggest errors came in '92, when Perot was in and out of the race, and affecting the polls accordingly. Wouldn't it be a fair assumption to give '92 less weight as there are no major third-party candidates this election cycle?
The Pew Research Center has polls going back to 1987, including the old 1996 Dole/Clinton surveys you want. You can get their raw survey data too. See: http://people-press.org/
It is clear that the trend over the five cycles from 1988 to 2004 is for opinion to shift around less from June to November in every succeeding cycle. 1988 showed the most swing, 2004 showed the least. That could mean we should expect even less movement this year.
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