There are a lot of great questions and suggestions here. Let me know if I miss anything
@Ford Taurus: There was no funding for the study.
@DirtyT and @Alexi Santana: On the 4 year window of the study and improved performances in marathons over time. This is a really interesting question, especially since the olympic trials operate on a 4 year cycle. If some component of the improved performances over time are due to new people entering the sport, then we are accounting for that directly by including a term for each runner in the model. If the improved performances come from improved training, calorie consumption, etc., we are only indirectly accounting for that through the terms specific to each marathon-year combination. What I mean is that, each individual race gets a term in the model, so if people generally did better in chicago 2019 than chicago 2018, that improvement can be absorbed by the terms for these two races in the model. We could try directly adding a term that varies smoothly over time to directly account for the effects you're talking about, but we haven't tried that.
Related to your point: the model assumes that runner abilities are constant over time. We would like to include an age effect in the model, to account for the fact that runners generally improve during their younger years and get slower during their older years. This next point is kind of subtle, but I think that the vaporfly effects would actually get bigger if we included age effects. This is because our sample of runners is biased towards containing runners that were older than average when the vaporflys appeared, because we required the runners to have a fast performance in 2015 or 2016. So they were of average age for elite marathoners when they were sampled (in 2015 or 2016), which makes them older than average when vaporflys started appearing in 2017 and 2018. So this sample of runners, on average, is declining in ability when the shoes appear. Hopefully I explained that somewhat coherently.
We would love to team up with someone who is willing to dig on the internet and find the ages for all the runners in our sample.
There very well could be a placebo effect of the shoes. Our study isn't capable of detecting that. I would love to see some placebo vaporflys.
@govlie1: we did consider your point about more serious runners adopting the vaporflys. This is accounted for by controlling for runner ability in the model. We also selected men under 2:24 and women under 2:45, so these are all serious runners (though maybe some are hobby joggers by letsrun MB standards).
@Ho Hum, we also considered a model in which vaporflys impart a percent improvement rather than a fixed time improvement.
@c$: the Upshot study looked into differences in training volumes, and they didn't find anything meaningful, as I recall. They did a really nice job on their study.
https://www.nytimes.com/interactive/2018/07/18/upshot/nike-vaporfly-shoe-strava.html
@MatthewXCountry: on reproducibility. We sent a message to marathonguide.com asking for permission to post the data that we scraped, but we didn't receive a response, so to be cautious, we simply posted the code used to scrape the data. If you send me an e-mail (
joeguinness@gmail.com
), I can send you the data files you need.
@MatthewXCountry: These are great questions about interactions and marathon-year effects. we also fit the interaction model and have the results in an updated version of the paper available here:
https://arxiv.org/abs/2002.06105
The original paper did include the course-year effects you describe. In the updated version, we have both course effects and course-year effects. The size of the vaporfly effects shrink towards zero a little bit, but the overall story doesn't change.