How about statistically proving that fiberglass poles provide a "statistically significant" advantage over steel and bamboo poles?

To prove this, you could chart (plot on a graph) the Men's WR (or Olympic Gold Medals) over the past 100 years, and show the steep height incline in the curve in the 1960s, as fiberglass rapidly became popular.
You could show when steel took over from bamboo, and how the curve didn't change much then (~1950), compared to in the 1960s.
The reason I suggest this is that there's lots of data on the internet to plot your curve and compute your proof of "statistical significance".

Hint: There's other factors that you'll need to consider. You may need to eliminate the advantage of synthetic runway surfaces, lighter spikes, and possibly training methods, diet, or height/weight/speed/strength of the athlete. For example, synthetic runways were invented approximately the same time as fiberglass poles, so how do you know (with statistically-proven confidence) that all of the new PV WRs since the 1960s weren't because of the faster runway?

You might also consider plotting the increase in PV WR compared to other events ... like 100m or HJ, to show that those had a much more gradual incline over time. This might be how you filter out the synthetic surface, diet, and spike issues from the equation, since you can assume that the WR 100m improvements must be largely due to these other factors (factors unrelated to the material used in manufacturing a pole. Or harvesting - in the case of bamboo!)

Just an idea.
Kirk