Krebs cycle said:
Enter real values.
A 1% increase in VO2max from a baseline of 75.0 is 75.75ml/kg
A 3.6% increase is 77.7 ml/kg.
77.7 is 2.6% greater than 75.75, not 360% greater.
Get.with.the.program.
Yes, but I was talking about the increase in uncertainty/range not the increase in magnitude of measurement. Thanks for your other comments with this post. Interesting, and we're finding a middle ground.
Because I am a fun guy... I did a little simulation to demonstrate another thing, which is that Lucia's data is reported for mean changes, not individual, and some individuals should have larger changes than in the group data (unless the group changes homogenously).
I used Lucia's reported means and sd's to simulate a group of 13 riders out of season and in season VO2max's (10,000 runs of sim).
I assumed the VO2max's were distributed normally (probably wrong) and then ran 4 sims: one assumes perfect rank matching, so the rider with the worst VO2 at the start has the worst at the end. One assumes completely random matching. This gives upper and lower bounds. Then I also simulated with the standard deviation halved, since maybe you could argue there was more noise in Lucia's data than some other data.
I get:
Rank matched normal SD: 4.43
Rank matched half SD: 3.16
Random match normal: 6.24
Random match half: 3.72
So even if you thought the Lucia had some kind of large source of noise, we expect to see a change of greater than the 2.6 we see in the means. In reality, the change is likely to be substantially bigger. I would bet Lucia's group had a an individual with a change of at least 5% in it.
If I extend the simulation to have 200 individuals, under the most conservative assumption I get not much change, but using Lucia's reported standard deviations I get 5.6 and 8.6 as my largest changes, suggesting that, if their data is approximately accurate and approximately normal, we should see a change of ~10% in at least one or two professional cyclists moving between out of season and in season.
I don't really believe this simulation, but it is somewhat instructive. Comments?