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=Distribution of Splits=
Of the finishes, 87% were positive splits and 13% were negative splits. Chart 1 shows This is section looks at the distribution of splits, showing the number of finishes with a given . Each finish has its split percentage. The peak is at a slight positive split, with a sharp fall of towards negative splits calculated based on the overall finish time and a gentler decline towards the more positive splitshalf way time. The curve above distribution is analyzed for all finishesrunners, and things look rather then for different if we break things down by finish time. The graphs below represent groups of runners based on their finish times. You can see the split distribution for the faster finishes is much sharper, and slower finishes have a flatter curve that peaks at a more positive split and extends more towards the extreme positive splits. This suggests that faster runners tend to run a more even pace than slower runnerstime.
==Distribution of All Splits==
This section looks at the distribution of splits for all finishes. Overall, 87% finishes were positive splits and 13% were negative splits. This ratio is similar way the splits are divided by finish time, with the exception of those finishing in over five hours, where the percentage of negative splits is somewhat lower. However, the distribution of splits varies significantly with finish time. For the fastest runners the distribution is quite narrow, and each successively slower group has a wider spread of splits. The peak of the curve is also at a more positive split value for slower groups. This suggests that faster runners tend to run a more even pace than slower runners.
{| class="wikitable"
|- valign="top"
! Finish Time
! Negative Split
! Even Split
! Positive Split
! Count
! Mean
! Interquartile Mean
! Median
! Standard Deviation
|-
| 2:00 to 2:30
| 10%
| 89%
| 1,544
| 2.65
| 2.13
| 2.07
| 2.75
|-
| 2:30 to 3:00
| 11%
| 89%
| 16,528
| 3.35
| 2.83
| 2.74
| 3.43
|-
| 3:00 to 4:00
| 15%
| 85%
| 225,004
| 4.53
| 3.89
| 3.78
| 5.32
|-
| 4:00 to 5:00
| 16%
| 84%
| 368,165
| 7.17
| 6.13
| 5.87
| 7.94
|-
| over 5:00
| 7%
| 93%
| 263,936
| 13.25
| 11.66
| 11.04
| 11.56
|-
| total
| 13%
| 87%
| 875,177
| 8.25
| 6.49
| 6.13
| 9.3
|}
{| class="wikitable"
! Finish Time
! Negative Split (<-0.5%)
! Even Split (-0.5% to 0.5%)
! Positive Split (>0.5%)
|-
| 2:00 to 2:30
| 92%
|-
| All finishestotal
| 11%
| 5%
|}
==Distribution of Best Splits==
This section looks at the finishes of runners with more than one finish in a city. This allows us to look at which split percentage resulted in their best time. This is a much smaller subset of the results, including ~22% of the overall results (192,585 of 876,703). For this subset of finishes the elite runners (sub 2:30) have a higher percentage of negative splits, but runners finishing between 2:30 and 5:00 have a lower percentage of negative splits when compared with all finishes shown above. The most significant difference however is that the best splits have a much narrower spread. The best splits are generally closer to even, with fewer finishes in either the extreme negative or positive range.
{| class="wikitable"
|- valign="top"
|[[File:HistogramOfBestSplits_Multiple_Partial_AllHistogramOfSplits_Best_Partial_All.jpg|none|thumb|400px|The distribution of the best splits for all runners.]]|[[File:HistogramOfBestSplits_Multiple_Partial_Finish_2HistogramOfSplits_Best_Partial_Finish_2.0_to_2.5.jpg|none|thumb|400px|The distribution of splits for runners finishing in under 2:30. ]]
|- valign="top"
|[[File:HistogramOfBestSplits_Multiple_Partial_Finish_2HistogramOfSplits_Best_Partial_Finish_2.5_to_3.0.jpg|none|thumb|400px|The distribution of splits for runners finishing between 2:30 and 3:00.]]|[[File:HistogramOfBestSplits_Multiple_Partial_Finish_3HistogramOfSplits_Best_Partial_Finish_3.0_to_4.0.jpg|none|thumb|400px|The distribution of splits for runners finishing between 3:00 and 4:00.]]
|-valign="top"
|[[File:HistogramOfBestSplits_Multiple_Partial_Finish_4HistogramOfSplits_Best_Partial_Finish_4.0_to_5.0.jpg|none|thumb|400px|The distribution of splits for runners finishing between 4:00 and 5:00.]]|[[File:HistogramOfBestSplits_Multiple_Partial_Finish_5HistogramOfSplits_Best_Partial_Finish_5.0_to_9.9.jpg|none|thumb|400px|The distribution of splits for runners finishing in over 5:00.]]
|}
Below is the breakdown of percentage of positive, even and negative splits by finish time. For this table a split is considered even if it is +/-0.5%.
! Finish Time
! Negative Split
! Even Split
! Positive Split
! Count
! Mean
! Interquartile Mean
! Median
! Standard Deviation
|-
| 2:00 to 2:30
| 18%
| 82%
| 130
| 1.67
| 1.48
| 1.42
| 1.94
|-
| 2:30 to 3:00
| 8%
| 92%
| 1,255
| 2.74
| 2.46
| 2.42
| 2.33
|-
| 3:00 to 4:00
| 9%
| 91%
| 17,440
| 4.19
| 3.76
| 3.7
| 3.74
|-
| 4:00 to 5:00
| 12%
| 88%
| 30,889
| 6.21
| 5.36
| 5.17
| 6.04
|-
| over 5:00
| 9%
| 91%
| 22,545
| 10.16
| 8.65
| 8.27
| 8.99
|-
| total
| 10%
| 90%
| 72,259
| 6.89
| 5.49
| 5.23
| 7.07
|}
{| class="wikitable"
! Finish Time
! Negative Split (<-0.5%)
! Even Split (-0.5% to 0.5%)
! Positive Split (>0.5%)
|-
| 2:00 to 2:30
| 90%
|-
| All finishestotal
| 7%
| 5%
! Finish Time
! Negative Split
! Even Split
! Positive Split
! Count
! Mean
! Interquartile Mean
! Median
! Standard Deviation
|-
| 2:00 to 2:30
| 37%
| 29%
| 35
| 0.02
| -0.29
| -0.36
| 1.62
|-
| 2:30 to 3:00
| 21%
| 43%
| 190
| 0.69
| 0.32
| 0.01
| 1.8
|-
| 3:00 to 4:00
| 30%
| 52%
| 3,182
| 1.71
| 1.03
| 0.74
| 3.65
|-
| 4:00 to 5:00
| 41%
| 44%
| 6,135
| 1.64
| 0.48
| -0.12
| 5.11
|-
| over 5:00
| 50%
| 37%
| 2,883
| 1.48
| -0.13
| -0.48
| 6.75
|-
| total
| 40%
| 44%
| 12,425
| 1.6
| 0.49
| -0.09
| 5.19
|}
{| class="wikitable"
! Finish Time
! Negative Split
! Positive Split
|-
| 2:00 to 2:30
| 37%
| 29%
|-
| 2:30 to 3:00
| 21%
| 43%
|-
| 3:00 to 4:00
| 30%
| 52%
|-
| 4:00 to 5:00
| 41%
| 44%
|-
| over 5:00
| 50%
| 37%
|-
| total
| 40%
| 44%
|}
{| class="wikitable"
! Finish Time
! Negative Split (<-0.5%)
! Even Split (-0.5% to 0.5%)
! Positive Split (>0.5%)
|-
| 2:00 to 2:30
| 37%
|-
| All finishestotal
| 40%
| 16%
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