A Romney Win, Nate’s Next Gig is as a Junior Actuary at
Metropolitan Life
In 2008 a little
known statistician and election model builder Nate Silver had the most
accurate prediction of the Presidential election. As a result of his success Mr. Silver was
elevated to the top Blog pages of the New York Times, and this year he is now
on record on election day as having models which forecast about 315
electoral votes for Mr. Obama and a 91% chance that he will win the electoral
college. Obscure no more, Nate Silver now has the focus of the political pundit world right on his face.
Mr. Silver’s methodology is to use past relationships
and current polling data to simulate the election, something called Monte Carlo simulation.
It is the same technique casino firms use to determine the various
probabilities of a customer winning a
casino game, and so allows the casino to set the payouts. If the technique is correct the casino will,
day after day, always payout less than it takes in. That’s why casino’s don’t call what they do
gambling.
Essentially Mr. Silver simulates an election
thousands of times, and in his final runs Mr. Obama wins 91% of the time. The problem with relying on this is that
unlike casino games, which are played tens of thousands of times in a day, the
election will take place only once. An
even bigger problem is that an election is a sample of the voters, since not
everyone will vote and sampling error is present. In Virginia ,
for example, it may be that Mr. Obama is favored 49% to 47%, but if more Romney
voters than Obama voters actually vote, the result could easily be in Mr.
Romney’s favor. This sampling error is
critical when the race is close.
Even worse for the mathematical models is that they
rely on polling, which is a sample of the sample. So another sampling error is injected. Mr. Silver counters that problem using a
large number of polls.
Averaging polls
together increases their sample size — making them much more powerful
statistically than any one poll taken alone.
But this only works if the polls themselves are
independent, a problem Mr. Silver acknowledges.
But
the errors in the polls are sometimes correlated, meaning there are years when
most of them miss in the same direction. Mr. Romney remains close enough to Mr.
Obama that he could fairly easily win the popular vote if there is such an
error in Mr. Obama’s favor this year.
So maybe the election will turn out the way Mr.
Silver says it will, but until the votes are in nobody should expect that will
be the case. When the race is close
sampling error can be a killer. Good
luck Nate, we are all pulling for you.
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