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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 Romney.
To keep the figure easy to read, it only includes the resulting probability of an Obama win. The resulting probability of a Romney win is simply 100 minus the probability of an Obama win.
As of November 6th, election day, Pennsylvania, Ohio, Michigan, Florida, and Virginia have the most potential upside for Obama. If any of their state polls change by 10% in favor of Obama (i.e. 5% switch from Romney to Obama in any state), Obama's probability of winning increases to 76%-81% and Romney's probability of winning drops to 19%-24%.
The results in this plot may not be as informative as one would hope, though. This is due to the fact that this plot shows how the resulting probability of winning changes if a particular state's poll results change by a certain amount. But it doesn't capture the likelihood that that state's poll will change by that amount. Therefore, keep this caveat in mind when interpreting the plot.
This figure is similar to the previous one, with the only difference being that it corresponds to changes in state polls from the five states with the most potential downside for Obama or upside for Romney.
Again, to keep the figure easy to read, it only includes the resulting probability of an Obama win. The resulting probability of a Romney win is simply 100 minus the probability of an Obama win.
As of November 6th, election day, Florida, North Carolina, Arizona, Georgia, and Missouri have the most potential downside for Obama. If Florida state polls change by 10% in favor of Romney (i.e. 5% switch from Obama to Romney), Obama's probability of winning decreases to 61% and Romney's probability of winning jumps to 39%. If any of the other four state polls change by 10% in favor of Romney (i.e. 5% switch from Obama to Romney), Obama's probability of winning decreases to 66%-67% and Romney's probability of winning jumps to 33%-34%.
In addition to looking at probabilities of Obama or Romney winning, we can also look at the probabilities of achieving different electoral vote results. That is, what is the probability that Obama or Romney will collect say, 270, 285, or 300 electoral votes? (Note that the probability of either of them winning the election is the probability that they will 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 6th, election day, the most likely electoral vote outcome is 287 for Obama and 251 for Romney.