Possession of the football. One of the sports' biggest debates is whether or not to go for it on fourth down. Through this project, I will determine if it is better for a team to go for it on fourth down.

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Table of Contents:

Statement of the Task

                                                                                Pg.  2

Record of Actions

                                                                                Pg.  2

                                

Data, Information, Measurements

                                                                                Pg.  2

Conclusion

                                                                                Pg.  8

Appendix

                                                                                Pg.  8

References

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Statement of the Task

        Football is one of the world’s most popular sports (See Appendix 1 for basics on football).  In this sport, each team has four downs (chances) to maintain possession of the football.  One of the sports’ biggest debates is whether or not to go for it on fourth down.  Through this project, I will determine if it is better for a team to go for it on fourth down.

        To complete this task, I will study David Romer’s working paper.  It’s Fourth Down and What Does The Bellman Equation Say? by the University of California-Berkeley professor of economics best explains the theory of fourth down.  With this I look at the 4th down percentages, attempts and completions courtesy of NFL.com.  I will compare the 4th down conversions from the 2001 and 2002 NFL Seasons in effort to determine if David Romer was correct with his theory.

Record of Actions        

  1. It’s Fourth Down and What Does The Bellman Equation Say? by the University of California-Berkeley professor David Romer was read
  2. Stats from the 2001 and 2002 NFL seasons was collected from NFL.com
  3. Averages of 4th down completions, attempts and percentages were generated.
  4. Data was analyzed and conclusion was made.

        

Data, Information, Measurements

        According to David Romer, teams in football should go for it more on 4th down.  Romer feels that teams should be a lot more aggressive on the 4th and final down.  Romer studied the Bellman equation to come up with his conclusion.  The Bellman equation is as follows: Ei Di(gt) Vi = Pgt + Bgt Ei Di(gt+1) Vi - egt.  (Vi – expected long-run value, g – games, t – situations within game, Di(gt) – dummy variable that equals 1 if the tth situation in game g is a situation of type I, Pgt – number of points scored by team with ball minus number scored by opponent, Bgt – dummy that equals 1 if team with ball in situation g,t also has ball in situation g,t+1 and that equals -1 if other team has ball in situation g,t+1, egt – difference between situations of g,t).  This equation is used in math and economics to help simplify problems, which are dynamic and long-term into immediate payoff along with future ramifications of the situation.  This equation is used to prove the 4th down analysis.

        There are several head coaches of the National Football League that have studied Romer’s working paper.  In this paper, Romer is basically explaining that going for it on 4th down near the end zone, namely in the area classified as “field-goal range”, is better.  The reason for this is that if a team were to fail on this conversion, the opposing team would be further from their goal line.  Chances of a team completing a long drive aren’t as great as completing a short drive to the goal line.  Teams would have a good chance of getting regaining possession in good field position.

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        In Romer’s analysis, he used statistics from NFL games during the 1998, 1999 and 2000 seasons.  Romer assigned a value to first-and-10 plays on each yard line of the football field (length – 100 yards).  Romer concluded that it was not a representative sample since teams rarely go for it on 4th down.  To assess probability, Romer used third down statistics instead.  Also, Romer used first quarter statistics because the score and the time left do not generally influence decisions early in the game.

        Romer concluded through his study that a team facing a fourth-and-goal situation (meaning that the team is ...

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