Equation 7 · Part 1 · Measuring Claude Code and Agentic Development Tools: Evidence, Benchmarks, and Uncertainty
Symbol hat p
What this part means
the standard error of the observed proportion.
Its job in the formula
hat p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol hat p→Article meaning
Where the article explains it
If a benchmark of n instances is treated as n independent Bernoulli trials with true resolve probability p , the standard error of the observed proportion is = .
The passage around this formula
For n = 500 and near one half, this is on the order of two percentage points — before accounting for the additional variance introduced by sampling temperature, agentic scaffolding, or a different number of retries per problem. A published gap of four or five points between two systems evaluated under…
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Sources cited in the article section
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