Sometime back, I had posted on the impact of Sachin Tendulkar's reputation on his opponents. In that context, I had argued that the physical size and on- and off-field behaviours (in addition to their obvious skills) of players like Hayden and Richards may have contributed substantially to the overall reputational intimidation (or mental disintegration) exercised on their opponents.
Amol Agarwal had mailed me an interesting question about how to separate the relative contributions of individual skill and physical factors towards intimidating opponents. In other words if...
Net intimidation, I = intimidation due to "skill-effect", I(s) + intimidation due to "physique effect", I(p)
I, say, for a superstar batsmen, is a function of the difference in the performances (in terms of runs per over or strike rate or even bowling averages) of the opposing bowlers against the superstar and the other regular batsmen. But the big challenge is how to separate I(s) and I(p)? For simplicity, let us also assume that I(s) also includes the contribution of skill-itself (in addition to intimidation due to the over-sized skill).
I have thought long and hard and have not been able to come with a satisfactory enough solution. But any answer(s) would surely be interesting. Are there any instrumental variable that can be used to separate the two effects?