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Plane holes ww2 patterns
The canonical lesson is inverted: the holes you see on returning planes mark the safe zones, not the vulnerable ones. Abraham Wald's 1943 Statistical Research Group memoranda identified this as survivorship bias — the missing data was the destroyed aircraft. Armoring the undamaged regions, particularly engines and cockpits, is what actually saved bombers. The institutional analysts nearly did the opposite.
Evidence
- In 1943, the U.S. Army Air Forces brought damage data to the Statistical Research Group at Columbia University.
- Abraham Wald, a refugee mathematician, dissected the flaw: the sample was entirely composed of planes that survived.
- Wald's formal model, detailed in his 1943 memoranda, showed that holes-per-area on survivors is proportional to one minus the lethality of that region.
- This episode has since become the foundational case study in survivorship bias — the systematic error of drawing conclusions only from visible, surviving instances while ignoring the invisible failures.
- The returning bombers showed a consistent pattern: roughly 42% of recorded hits in the fuselage, 40% in the wings, 10% in the tail — and almost nothing on engines or cockpit.