- Apr 8, 2010
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Square-pedaller said:No you're wrong. Imagine that the range in clean performance is 80-100 performance units, and that the range of doping levels gives a performance boost of 10-20 units depending on how much you dope.
Now, those who start out at 80 end up at 90-100. Those who start out at 90 wnd up at 100-110. Those who start out at 100 end up at 110-120.
Anybody with a performance of 120 has to have been doping the largest amount. Anybody with a peformance of 90 has to have been doping the minimum amount. In between the average level of doping increases from the minimum (at post-PED performance of 90) to maximum (at post-PED performance of 120).
Or pin it down to actual numbers:
Imagine there are three levels of talent (poor, medium, good), which have clean performances of 1, 2 or 3.
Then imagine that there are three levels of doping, which give boosts in performance of 1, 2 or 3 performance units.
Now we have 9 riders, 3 of each talent level.
At each level, 1 rider dopes at each of the three levels, so mean and variance in doping level is the same at each level of talent.
The poor riders have performances of 2(doped 1 unit), 3(2) and 4(3)
The medium riders have performances of 3(doped 1 unit), 4(2) and 5(3)
The good riders have performances of 4(doped 1 unit), 5(2) and 6(3)
Now let's look at post-doping performance:
In performance level 2, there's one rider who doped 1 unit -> average doping level = 1.0
In performance level 3, there's 2 riders who doped 2 (the poor rider) and 1 (the medium rider) unit -> average doping level = 1.5
In performance level 4, we have 3 riders who doped 3, 2 and 1 units -> average doping level = 2.0
In performance level 5, we have 2 riders who doped 2 and 3 units -> average doping level = 2.5
In performance level 6, we have 1 rider who doped 3 units -> average doping level = 3.0
So: the mean and variance in doping level is the same for all talent levels, but after doping the average doping level increases with performance: the winners will have doped more on average than the losers.
