Tuesday, June 23, 2015

Grandma's keeps Boston Cutoff at 90 seconds

UPDATED! The analysis has been updated. The latest analysis is available here: http://boston-qualifier-stats.blogspot.ca/2015/08/santa-rosa-marathon-sways-boston-cutoff.html


With 23 of the top 25 feeder marathons complete, the current trend for the 2016 Boston Marathon Cutoff is 90 seconds. Grandma's marathon, with over 6000 participants is a big enough marathon to impact the Boston Marathon projected cutoff. This year's edition had similar results as last year. There were 100 fewer finishers, but 19 more people who beat the 1m2s cutoff from the 2015 Boston Marathon. Since the results were similar to last year, this kept the projected cutoff at 90 seconds.

Only 2 more left (Santa Rosa and Lehigh).


The Caveats:
The analysis assumes a lot of assumptions. I have outlined the objective and methodology on this page. Basically, I look at the number of people who qualified for the 2015 race, using the "feeder marathons". To qualify for the 2015 race, participants needed a BQ minus 1m2s. These races were all run last year. I then look at the same races for this year, and see how many people would qualify using the same cutoff.  If fewer people qualify, then I decrease the cutoff (make it easier to qualify), until the same number of people qualify as did last year. Conversely, if more people make the 1m2s cutoff than last year, I increase the cutoff (making it harder to qualify) until the same number of people qualify.


Table 1: Year vs Year, By Marathon
2015 Qualifying Year2016 Qualifying Year
MarathonFinishersBQBQ2015BQ2015%FinishersBQBQ2015BQ2015%
Big Cottonwood1,30826224419 %1,52728425217 %
Erie 97831228029 %95931728930 %
Berlin 36,1225,7695,45515 %29,0274,5304,30815 %
St. George 5,8181,1981,13720 %5,80699793916 %
Twin Cities 8,8551,01095311 %8,8531,04196711 %
Portland 6,9455044707 %6,4294293956 %
Chicago 38,8543,5273,3149 %40,5814,0043,7629 %
Steamtown 2,16537735917 %2,18443140819 %
Columbus 5,52361156110 %5,44562058111 %
Toronto Waterfront 3,60448745313 %3,97165460115 %
Baystate 1,30430127121 %1,53137835023 %
Marine Corps 23,3851,1701,0735 %19,6877186623 %
New York City 50,1343,9803,7257 %50,4333,6293,4007 %
Indianapolis Mon'tal 3,52151848314 %3,72559455215 %
Richmond 4,8424414189 %5,09552048710 %
Philadelphia 10,9141,3411,25211 %10,3331,3371,23512 %
California International 6,2381,2921,19519 %5,7931,2911,18520 %
Houston 6,9456986519 %7,1336986489 %
Boston 31,21010,56410,04632 %26,63512,79212,21846 %
Bayshore2,01731430015 %2,00834132916 %
Ottawa5,32481274514 %4,50180675017 %
Mountains 2 Beach1,61739937023 %1,58645241926 %
Grandma's 6,1731,1081,04717 %6,0751,1341,06618 %
TOTAL263,79636,99534,80213 %249,31737,99735,80314 %
Notes:
1. BQ = Number of Runners who met the minimum Boston Qualifying Standard
2. BQ2015 = Number of Runners who met the Cutoff for the 2015 Boston Marathon (BQ minus 1m 2s)
3. BQ2015% = Percentage of finishers meeting the BQ 20015 cutoff time.
4. AG = Age Group on the day of the feeder race, not the subsequent year's Boston Marathon.
   This is a small source of error, as a person may "age-up" for the subsequent year's Boston Marathon.

Analysis
Looking at the table above: 263,796 runners finished a 2015 "feeder" qualifying race, whereas 249,317 finished a 2016 "feeder" race: 14,479 fewer people. However, more people met the minimum BQ standard 37,997 for the 2016 qualifying year versus 36,995 for the 2015 qualifying year. Moreover, 1001 more people met the 1 minute and 2 second cutoff in the 2016 qualifying year so far than did in 2015.

If the Boston Marathon registration opened today - assuming the same proportion of qualified runners apply for the race (see objective and methodology) - there wouldn't be enough spots for everyone. We have to increase the cutoff so that we whittle the 35,803 people (who met the 2015 cutoff in a 2016 qualifying race) down to 34,802 the number of people who met the Cutoff for 2015.

Through a numerical modelling approach, the answer to the solution, of what the cutoff should be becomes 90 seconds.

At 90 seconds, 34,799 people will make it into the marathon. (only 3 fewer than this year).

Table 2: Projected qualifiers, from this years races, by AG based on an 90 second cutoff.
AGFinishersBQBQ minus 62sBQ minus 90sBQ2016%
F18-3442,5455,3555,0414,90812 %
F35-3917,1332,5182,3802,32114 %
F40-4416,5472,5432,3662,29314 %
F45-4912,3242,5852,4262,35119 %
F50-548,1481,6241,5371,49318 %
F55-594,07587482481320 %
F60-641,66739337637222 %
F65-6952911211010820 %
F70-7415832303019 %
F75-793055517 %
F80+633350 %
M18-3441,1855,1484,8954,76512 %
M35-3922,3672,7262,5522,48311 %
M40-4424,9923,2643,0612,96412 %
M45-4921,7343,9533,7173,60717 %
M50-5417,1343,0292,8282,73316 %
M55-5910,1461,9321,8281,77017 %
M60-645,3361,1481,0991,06820 %
M65-692,22753751650823 %
M70-7478017216616221 %
M75-7921035343316 %
M80+4499920 %
Total249,31737,99735,80334,79914 %
Notes:
1. BQ = Number of Runners who met the minimum Boston Qualifying Standard
2. BQ minus 62s = Number of Runners from this year's races who would have met the Cutoff for the 2015 Boston Marathon (BQ minus 1m 2s)
3. BQ minus 90s = Number of Runners from this year's races who would meet the projected Cutoff for the 2016 Boston Marathon (BQ minus 90s)
4. BQ2016% = Percentage of finishers meeting the projected BQ 20016 cutoff time.
4. AG = Age Group on the day of the feeder race, not the subsequent year's Boston Marathon.
   This is a small source of error, as a person may "age-up" for the subsequent year's Boston Marathon.