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O'Brien-Fleming type alpha spending: Cumulative spend is reported as incremental · case 03
Later looks appear to have almost the entire alpha available again.
Case contract
Cumulative alpha spent at information fraction t is 2 - 2 Phi(z_{1-alpha/2} / sqrt(t)) (t capped at 1). Information fractions must strictly increase from 0, otherwise return None. Return the incremental alpha spent at each look rounded to 6.
Why this case matters
Spending functions let teams peek at experiments without inflating the false positive rate.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| four equally spaced looks | [8.9e-05, 0.005575, 0.023625, 0.05] | [8.9e-05, 0.005486, 0.018051, 0.026375] | Failed |
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