Tweet |
In adition to an estimate of the probability of winning the election, it's also instructive to see how sensitive this probability is to changes in state poll results. That is, which states impact the result the most if their polls change in favor of one candidate or another?
In the figure on the left, we see the resulting probability of an Obama win, given changes in state polls from the five states with the most potential upside for Obama or downside for McCain.
To keep the figure easy to read, it only includes the resulting probability of an Obama win. The resulting probability of a McCain win was simply 100 minus the probability of an Obama win.
As of November 3rd 2008, just before the election, Ohio, New Jersey, Florida, Virginia, and Pennsylvania had the most potential upside for Obama. The upside was limited because Obama was already around 98.8%. Nevertheless, if any of the state votes changed by 10% in favor of Obama (i.e. 5% switched from McCain to Obama in any state), Obama's probability of winning would have increased to 99.6%-99.8% and McCain's probability of winning would have dropped to 0.2%-0.4%
This figure is similar to the previous one, with the only difference being that it corresponds to changes in state votes from the five states with the most potential downside for Obama or upside for McCain.
Again, to keep the figure easy to read, it only includes the resulting probability of an Obama win. The resulting probability of a McCain win is simply 100 minus the probability of an Obama win.
As of November 3rd 2008, just before the election, California, Pennsylvania, Michigan, Massachusetts, and Illinois had the most potential downside for Obama. The downside was limited because Obama had such a big lead and it would have been diffcult to move him from there. Nevertheless, if any of the state votes changed by 10% in favor of McCain (i.e. 5% switched from Obama to McCain in any state), Obama's probability of winning would have decreased to 98%-99% and McCain's probability of winning would have jumped to 1%-2%
In addition to looking at probabilities of Obama or McCain winning, we can also look at the probabilities of achieving different electoral vote results. That is, what is the probability that Obama or McCain would have collected say, 270, 285, or 300 electoral votes? (Note that the probability of either of them winning the election was the probability that they would collect 270 or more electoral votes).
The figure on the left shows the probabilities of each of the candidates achieving given electoral vote totals, which vary from zero to 538. The points where the curves are the highest correspond to the most likely electoral votes for each candidate, as of November 3rd 2008, just before the election.