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    Proportional voting in the GOP primary won’t matter without proportional thinking

    This year, in state Republican caucuses and primaries held prior to April 1, presidential candidates will earn delegates in proportion to the percentage of the vote they win in the state. So, for instance, if Mitt Romney wins the Iowa caucus January 3, which the prediction markets project with 34.9 percent likelihood, he won't take home all of Iowa's delegates--as has been the tradition in past primaries and caucuses. Likewise, the second place finisher in Iowa won't walk away empty handed--another departure from past form.

    But what net effect will these changes create on the crucial early-primary race? According to the influential prediction market Intrade, the answer is likely to be "not all that much."

    On Intrade, political horse traders buy and sell shares in primary outcomes--essentially wagering on the odds that Romney, Rick Perry, Herman Cain, Newt Gingrich, Ron Paul or someone else, will become the GOP presidential nominee. InTrade participants also weigh in on likely outcomes in key primary states such as Iowa, New Hampshire and South Carolina. So if, for example, we're consulting the market to break down just how decisive a Romney victory in Iowa would be, we can look at how closely the price of the Romney-wins-in-Iowa contract moves in conjunction with the Romney-wins-overall contract.

    Romney's and Perry's chances to win in Iowa and nationally, on Intrade

    The correspondence is remarkably high. The likelihood of a Hawkeye State win for Romney rose and fell in the last fifty days in strong sync with his national likelihood: The correlation--a statistical measure expressing a relation that is not necessarily causal--between the two signals is 85 percent, with a 100 percent correlation meaning that the two signals moved in exact lock step.

    The strong correlation also shows how much the two indices reinforce each other. The two Romney prices track so closely together in part because winning in Iowa will boost Romney's overall chances--but also because Romney's strength in Iowa increases in relation to his national popularity.

    Perry, Gingrich, Cain, and Paul all have high correlations between their Iowa and national prospects: 93, 97, 57, and 42 percent, respectively. (In statistical terms, even Paul's comparatively weak 42-percent alignment represents a significant correlation.)

    We can go one step further to make an educated guess of what would happen if Romney wins in Iowa.This comes about via a technical analysis known as  a logistic regression. Under this approach, variant points in the national-Iowa outcomes for Romney will project forward to reflect a 100 percent likelihood of the former Massachusetts governor winning the Jan. 3 caucus vote.

    One thing is clear in this model: What happens in Iowa certainly won't stay in Iowa. If Romney manages to prevail there, the model projects he would have as high as a 90 percent chance to win the national contest. If, on the other hand, he finishes second or worse, Romney would enter New Hampshire with only a 40 percent chance to earn the GOP nomination.

    If Perry wins the first-in-the-nation caucus instead, he'd have an 80 percent chance of eventually becoming the Republican nominee; if he fails in Iowa, his chances nationally fall to 5 percent. If Cain, Gingrich or Paul don't win in Iowa, their campaigns would plunge into something approaching code-red status, according to this model. Their odds of coming back to win the nomination fall beneath 5 percent in the absence of an Iowa victory.

    Keep in mind that the regression model doesn't work the way that the campaign or the news cycle does in real time. That is to say, the math involved here makes no qualitative distinctions between the way that Iowa stands to affect the national race, or how the national scene reciprocally shapes the Iowa field. That being the case, the regression almost certainly exaggerates the overall impact of an Iowa win.

    There are two other important notes of caution. First, extrapolating a trend based on data is not an exact science. Rather, take it clearly for  what it is: an estimate or educated guess, nothing more. Second, in constructing this model, I collected the data over the last 50 days. Over that time, all sorts of factors in the race have changed dramatically--yet the logistic regression machinery assumes all data points reflect current knowledge. These cautionary notes translate into a simple watchword: Don't take the precise numbers too seriously, but do heed the overall message--early states will still have tremendous influence, despite the new proportionality rules.

    We could get a better indicator of Iowa's impact if a prediction market were to directly assess the chance that Romney will win in both Iowa and the nomination--but, alas, that market doesn't exist. When we launch our prediction games on The Signal, we plan to feature many such combined A-and-B predictions and more: Stay tuned.

    The Republican National Committee hoped proportional assignment would extend the race beyond the first few states, allowing broader participation from voters and greater media exposure for GOP candidates. As Stephen Ohlemacher wrote in the Huffington Post, "don't look for a quick winner in the race for the Republican presidential nomination." Ohlemacher quoted one RNC member, Bob Bennett of Ohio, saying that "I could see [the primary] going deep into April with a two-man contest." In 2008, a similar proportional-voting setup in the Democratic primaries did seem to draw out the two-person race between Hillary Clinton and Barack Obama.

    On the other hand, voters and the media tend to think in all-or-nothing, not proportional, terms. Even Clinton's chief strategist and pollster in 2008 reportedly forgot that the Democratic primary was proportional. The notion that "winning is everything" is deeply ingrained in sports and politics alike. Fans of the World Series champion St. Louis Cardinals consider being one strike away from losing--twice--a mark of strength rather than good fortune. And George W. Bush's chief strategist Karl Rove's reputation as a genius was certainly bolstered by his narrowest-of-narrow victory in the 2000 presidential election.

    So, in short, if on January 4, headlines shout "Romney wins Iowa" and voters start to think of the former Massachusetts governor as the presumptive nominee, whichever candidate ends up claiming second place will have a handful of delegates--and not all that much momentum going forward.

    David Pennock has a Ph.D. in computer science from the University of Michigan and currently heads the algorithmic economics group at Yahoo! Research. Follow him on twitter @pennockd.

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    Want more? Visit The Signal blog or connect with us on Facebook and follow us on Twitter.

     
    • Rolf  •  Madison, United States  •  6 mths ago
      Ron Paul is probably going to win Iowa, with Romney 2nd. If so, based upon the mathematics of this article, Paul would be better than 50% likely to get the GOP nomination. Because it says if Romney does not win, he is 40% likely to get the nod, while Perry is 5% likely to get the nod if he don't win, and Cain & Newt are less than 5%. Take all that away from 100%, and you have 45% to 55% left for Paul, but this article implies that it is closer to 55% than 45%, meaning Paul would be the odds-on favorite to win if he wins Iowa.
      • ToughUSA 6 mths ago
        We need the 3rd to swing vote along with the swing over democrats. As long as Ron can pull the double digit vote from the repubulican platform, he will win by default. arithmatic does not lie. He may actually not even have to show up at the Paul / Obama debate. Remember 2008 was only a learning curve. There campaign has some very bright people. I voted for Obama in 2008 becuase of the same issues they have now. I will be voting to Restore America and Liberty.
    • Richard  •  5 mths ago
      Ron Paul. Show your support at the Caucuses!!!
    • Steve  •  Houston, United States  •  5 mths ago
      Ron Paul is listed as a Republican. He is NOT a Republican. The only reason that he is listed as such is that you will not be placed on ballots or be invited to participate in the debates without claiming this affiliation. Please search youtube for John Stossel interviews Ron Paul and listen to these interviews and form your own opinion. Ron is discounted by the media as he represents a real change, not more of the same.
    • Jean  •  6 mths ago
      All primaries should be held on the same day across the country. The electorate should be canceled. Then everyone votes on the same day.
      There should be no private financing of elections.
    • RF5  •  Las Vegas, United States  •  6 mths ago
      Twitter: @Retakeournation
    • fh  •  6 mths ago
      Models at this point have about as much predictive power as a fantasy football league prediction. I wouldn't want to bet on a very high t-score for the statistical parity with real electoral outcomes quite yet. I hope these guys aren't buying 'squares' based on this one.
    • wroxman  •  Houston, United States  •  6 mths ago
      So, if Romney win Iowa, he has 90% chance of winning the GOP presidential nomination. However, if Romney does not win Iowa, he has 40% chance.
      Wash! Long time ago, Michele Batchman was riding high. She then crashed, and faded. Then came Rick Perry. He lasted about a week or so. Then Herman Cain became the GOP favorite, then he crashed landing. Now come Newt. Experts have been giving a week or so.
      All along, all of these presidential candidates are or were favorites to win Iowa. Then they are gone.
      So all of these maths seem complicated, but really irrelevant. One thing for sure, politics is politics, and it ain't math. Because when the time is right, the current favorite politician will win the GOP nomination, not because of those maths.
    • Tea Party Tim  •  Memphis, United States  •  6 mths ago
      The elections process should follow this same model. It is a sham that says if you get 50.01% of the State vote you get 100% of the electoral votes. Looks like the GOP is more interested in getting the best canidate than it is in getting the biggest States.
      • rick 6 mths ago
        yes your vote will not matter not right
      • Tea Party Tim 6 mths ago
        @Rick - I agree with one slight correction...it only matters if you are the 1 vote that tips the scales toward one canidate or the other. That being said it shows the importance of showing up at the polls and voting.
    • AntiMedia  •  Lubbock, United States  •  6 mths ago
      Poor examples of candidates in this model, but it probably dated. Perry? I don't need a data model to deduce that he is finished as a viable candidate. Romney? The prohibitive media favorite is not a favorite of the electorate - witness his inability to gain support as the others rise and fall in the polls. I would be interested in seeing this applied to Gingrich and Paul.
    • ToughUSA  •  6 mths ago
      From the articles I have read. The Paul campaign is looking well past the primaries.

      We need the 3rd party ( 1/3 of all american votes and growing quick) swing vote along with the swing over democrats. As long as Ron can pull the double digit vote from the repubulican platform, he will win by default. arithmatic does not lie. He may actually not even have to show up at the Paul / Obama debate. Remember 2008 was only a learning curve. Their campaign has some very bright people. I voted for Obama in 2008 becuase of the same issues they have now. I will be voting to Restore America and Liberty. I knew their must have been a good reason for Paul to stand on that GOP stage with Moronic rep behaviors and out of pocket media types. He is alot smarter than most people realize. Ron Paul 2012 !!!!
      • A Yahoo! User 6 mths ago
        "ArithmAtic?" Seriously? LMAO! Stupid ronbot. Go hit the aquabuddha some more.
      • jeff 6 mths ago
        A vote for Ron Paul is a vote for Obama...don't do it. Not this time...Obama must go
      • Super 6 mths ago
        Paul a third party, LOL!
    • Mike  •  6 mths ago
      If the last 10 years are any indication (and they probably are), the writer is dead on. If there's one thing Republicans have done...it's showing the rest of us that they love following up stupid decisions with even dumber ones. W thanks you guys.
      • Republican Eagle 6 mths ago
        Mikey, you have the gall to say that after you and the rest of the liberal DIMocRATS put the jackass you have in office!??! Man, if I were you I would set down and shut up. Better to remain silent and be thought a fool, than to open your mouth and remove all doubt!
    • stevie  •  6 mths ago
      Wager...republican...political horse traders. Sounds more like Wall St.
    • just me  •  6 mths ago
      myths a mormon
    • John  •  6 mths ago
      For future reference, "GOP" and "thinking" should never be used in the same sentence.
      • Ula ✠ 6 mths ago
        Especially when you hear them say things like, "We could nominate the dogcatcher and he'd beat Obama!"
      • jeff 6 mths ago
        sad, stupid liberals just don't get it...your days of ruining this country are coming to an end
      • Elena 6 mths ago
        exactly, if Democrats think they are so smart, they should have delivered the plan, but no it is better to be critical and do nothing.
    • A Yahoo! User  •  5 mths ago
      while voters on the right and the left argue all day on these comment boards about which party is the worst, not the better, the worst, Ron Paul supporters are looking for more supporters. It's easy to talk about Ron Paul because most of his career has been a positive. His always voting according to the constitution, always considering how a law or an act of congress will affect American Liberties, the one thing most others are willing to throw away. Your childrens freedom and liberties are under the gun in this election, are you going to give them up by supporting the Empire Building, New World Order, war mongers, or try to give them a future with the same rights and liberties that you have had until the last 10 years.
    • jeff  •  Hartselle, United States  •  6 mths ago
      pretty sad bunch....but any one of them FAR better than Obama
    • silverJ  •  6 mths ago
      let karl rove direct the GOP march to the white house and senate-
    • Juan  •  Washington, United States  •  6 mths ago
      Stop your belly aching Tea baggers, Ron Paul supporters, and christian right! Stop complaining and fall in line with who your Republican masters have already chosen. Mitt Romney has already been selected to be the Republican candidate.
    • rick  •  Gas, United States  •  6 mths ago
      gop prymary won't matter odama go to get it
    • Eric P  •  Kingsport, United States  •  6 mths ago
      The obama media will do anything and say anything to win an election!

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    The Signal is the Yahoo! News predictions blog featuring real-time forecasts and sentiment on politics, economics, and more. MEET THE TEAM: David Pennock, David Rothschild

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