powerplant42 wrote:The way to beat it is cluster sampling the entire pole vaulting population... How are those trying to emulate "this" model doing? How are those trying to emulate "that" model doing?
But there's still an issue, at least one... There are clearly more people using one "model" over another (or more just "no model"). How are we to deal with that?
In the end I think we just have to try to stick to math, then accomodate the "ideal model" according to the vaulter's physical limitations. What we end up with is the Petrov model in most cases.

I think it can be done, and the results might be interesting. If we took, for instance, the top ten vaulters who were not instructed in the Petrov Method and compared their results to the top ten who have, what would the statistics show? And what conclusions could be extrapolated from those numbers? And for the sake of science we may have to leave some important considerations out of the analysis. How high anyone would have jumped had they done it differently or had they had the bar high enough on a given attempt is pure speculation. It just can't be measured. I will hypothesize based only on incidental experience that there will be very little statistical difference, most of which will be skewed by the results of one individual.
I am NOT NOT NOT advocating any method over another. I just would like to know what the numbers actually say. If the results are what I think they might be, it leads me to ask other questions.
If Bubka was not an exceptional athlete, why have two decades of instruction and seven Olympic cycles not sufficed to produce his peer?
Was Bubka doing things which we (and perhaps he) are not aware of?
Perhaps he was simply doing the right things better. If so how?
Is there something missing from our coaching?
Are there aspects of other methods that are not adequately understood?
Do other vaulters correspond to the principles of Petrov's theory in ways that are not apparent?
Are there other ways to obey the immutable laws of physics effectively?
At this moment I am physically cringing. I don't want to sound disrespectful to people I respect. I am uncomfortable with these questions, but they continue to haunt me. Surely if science has taught us anything it is that questions themselves are neutral. What is important is that the answers agree with empirical data garnered from sound methods of enquiry. And my hypothesis might not be supported by the data. I will be happy to be disproven; I don't want to waste my time exploring questions that are meaningless in ways that are mistaken. Isn't that the essence of the scientific method?
I can also respect the opinion that what we have is good enough and it is unproductive to muddy the waters, but I can’t help it. Athletes should probably not read this forum. This is why I have not posted for so long. I am not making much progress wrestling with these things in isolation.