To illustrate the results of the seeding distribution analysis,
the odds against a particular pair of seeds reaching the National Finals is shown by selecting any two seeds and
clicking *Show Results*.

?

To assess the relative likelihood of two pairs of two seeds reaching the National Finals, pick two pairs of two seeds
and click *Show Result* to obtain the relative likelihood of one pair of two seeds reaching the National Finals versus the other
pair of two seeds reaching the National Finals.

One can determine the probability of a pair of seeds reaching the National Finals given a set of four
seeds in the Final Four. Pick four seeds to reach the Final Four and click *Show Result* to obtain the
probability for all possible pairs of seeds (up to four) reaching the National Finals given this set of Final Four seeds.

Using the analytical approach described in Jacobson et al.^{2}, the following table
lists the number of times that each seed reached the National Finals game since 1985, and the number of times that
each seed was expected to have appeared.

Seed | National Finals Game Appearances | Expected National Finals Game Appearances |
---|---|---|

1 | 39 | 32.9 |

2 | 13 | 19.0 |

3 | 11 | 11.0 |

4 | 4 | 6.4 |

5 | 4 | 3.7 |

6 | 2 | 2.1 |

7 | 1 | 1.2 |

8 | 4 | 0.7 |

9 | 0 | 0.41 |

10 | 0 | 0.24 |

11 | 0 | 0.14 |

12 | 0 | 0.08 |

13 | 0 | 0.05 |

14 | 0 | 0.03 |

15 | 0 | 0.02 |

16 | 0 | 0.01 |

Using a *X*^{2 }goodness of fit test,
the test statistic value (with 15 degrees of freedom) is 20.1 resulting in a *p-*value of 0.17, which suggests a good fit to the truncated geometric distribution.

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