The question
If someone posted the best number in the field, are they the most able person in the field?
The method
Two mathematical models rather than a field study. “Model 1 added heterogeneity to a model of self-reinforcing performance, and model 2 added heterogeneity to the standard model of performance as a” linear combination of skill and noise [2]. The models’ prescription was then tested against people: the authors ran experiments in which participants inferred skill from observed performance [3].
The findings
The headline result is counterintuitive and narrow in a useful way: “the highest performers may not have the highest expected ability and should not be imitated or praised” [1]. The mechanism is that “an extreme performance may be more informative about the level of noise and the strength of rich-get-richer dynamics than about skill” [1]. A very large number tells you the setting can produce very large numbers, which is a fact about the setting.
Whether it applies is a question about the domain, not about the person: “whether higher performance indicates higher ability depends on whether extreme performance could be achieved by skill or requires luck” [1]. Where luck cannot manufacture an extreme result, the ordinary intuition holds and then some — “performance is a good indicator of skill and, as our second model shows, extreme performance may be especially informative” [2].
People do not make this correction on their own. In the experiments, “despite clear feedback and incentives to be accurate, 69 out of 119 participants never predicted higher performers to be less skilled than those with moderately high performance” [3].
The limits
The result is conditional and the authors say so twice. It needs a domain “in which performance can be substantially influenced by chance events and even relatively unskilled agents can achieve high performance” [2], and it needs an evaluator who cannot see how noisy the setting is: “Our results would not hold for evaluators who have detailed information about the setting” [2]. This is a modelling paper with supporting experiments, not a study of any particular labour market.