How To Analyze A Problem... The Obvious Conclusions Inexperienced Desk Jockeys Build It At, Or The Thoughtful Scientific Logical Method Of Motility Together Alongside Resultant - Using Ww2 Bombers

During WWII the Army wanted to minimize bomber losses to enemy fire.

The desk jockeys security at abode researched where bombers tend to acquire hit, intending to recommend  re-enforcing the parts of the plane that acquire hitting the most would upshot inward more than planes making it back

They industrial constitute life that when American planes came dorsum from engagements over Europe, they were covered inward bullet holes. But the harm wasn’t uniformly distributed across the aircraft. There were more than bullet holes inward the fuselage, none inward the engines.

The blood-red dots demo where bombers were hitting the most, together with so they told the regular regular army together with  plane manufactures to pose more than armor on those sections.

Problem?
 You don’t want your planes to acquire shot downwards past times times enemy fighters,
Solution
  together with so yous armor them.
Problem?
  But armor makes the floor heavier, together with heavier planes are less maneuverable together with role more than fuel.         Armoring the planes also much is a problem;
  armoring the planes also niggling is a problem.
Solution
  Somewhere inward between there’s an optimum.
  You have got a team of geniuses (Statistical Research Group) inward New York City is to figure out where that optimum is. Exactly how much more than armor belonged on those parts of the plane? That was what they came to Wald for.

Frederick Mosteller, who would subsequently industrial constitute life Harvard’s statistics department, was there.
Leonard Savage, the pioneer of conclusion theory
Norbert Wiener, the MIT mathematician together with the creator of cybernetics, dropped past times times from quaternary dimension to time. Milton Friedman, the time to come Nobelist inward economics, was oftentimes the fourth-smartest private inward the room.
The smartest private inward the room was usually Abraham Wald, together with he had left Romania because the Nazis wanted to kill all Jewish people.

 It wasn’t the respond they got. The armor, said Wald, doesn’t acquire where the bullet holes are. It goes where the bullet holes aren’t: on the engines.

- how did yous obtain that data?

- well, we looked at every bomber returning from a raid, marked the damages on the airframe on a sheet together with collected the sheets from all allied air bases over months. What yous encounter is the upshot of hundreds of those sheets.

- together with your conclusion?

- well, the blood-red dots are where the bombers were hit. So let’s enforce those parts because they are most exposed to enemy fire.

- no. the blood-red dots are where a bomber tin privy have got a hitting together with return. The bombers that took a hitting to the ailerons, the engines or the cockpit never made it home. That’s why they are absent inward your data. The blank spots are precisely where yous have got to enforce the airframe, together with so those bombers tin privy return.

He got unusual looks, together with so he made it level simpler for the armed forces to sympathise (if they were smart, they wouldn't concur out inward the military, encounter (and I'm a vet, I know what I'm talking about, smart people locomote out together with create wealth, the ease of the people either acquire inward the military, or remain broke))

If yous acquire to the recovery room at the hospital, you’ll encounter a lot more than people amongst bullet holes inward their legs than people amongst bullet holes inward their chests. But that’s non because people don’t acquire shot inward the chest; it’s because the people who acquire shot inward the thorax don’t recover.

BTW: You tin privy encounter the upshot of this query today. This is the exact struggle the A-10 has the floor airplane pilot sitting inward a titanium armor bathtub together with has it’s engines placed high together with shielded.

https://medium.com/@penguinpress/an-excerpt-from-how-not-to-be-wrong-by-jordan-ellenberg-664e708cfc3d#.96xlu66m9
https://dieselpunkisdad.tumblr.com/post/156075043378/survivorship-bias

Abraham Wald was abode schooled until college. No wonder he was brilliant, he never went to USA public schools run past times times the Dept Of Education.

Being a religious Jew, he did non attend schoolhouse on Saturdays, as was required at the quaternary dimension past times times the Hungarian schoolhouse system, together with was thence home-schooled past times times his parents until college. His parents were quite knowledgeable together with competent as teachers.

In 1928 he graduated inward mathematics from the King Ferdinand I University.
In 1927, he entered graduate schoolhouse at the University of Vienna, from which he graduated inward 1931 amongst a Ph.D. inward mathematics, Menger, the swell mathematician mentored him.

Despite Wald's brilliance, he could non obtain a university position, because of Austrian discrimination against Jews.
 However, Oskar Morgenstern created a topographic point for Wald inward economics.
When the Nazis invaded Republic of Republic of Austria inward 1938, the discrimination against Jews intensified. In particular, Wald together with his household unit of measurement of mensuration were persecuted as Jews.

Wald was able to immigrate to the United States, at the invitation of the Cowles Commission for Research inward Economics, to mitt off econometrics research.

His family, all precisely a single brother, would subsequently pop off inward Auschwitz, the extermination camp.

https://en.wikipedia.org/wiki/Abraham_Wald

The official hollo for the people inside the storey was the Statistical Research Group, a cabal of geniuses assembled at the bespeak of the White House together with made upward of people who would acquire on to compete for together with win Nobel Prizes. The SRG was an extension of Columbia University, together with they dealt mainly amongst statistical analysis. The Philadelphia Computing Section, another grouping made upward solitary of women mathematicians, worked vi days a calendar calendar week at the University of Pennsylvania on ballistics tables. Other groups amongst different specialties were tied to Harvard, Princeton, Brown together with others, 11 inward all, each a leafage at the stop of a novel branch of the government created to help defeat the Axis – the Department of War Math.

https://youarenotsosmart.com/2013/05/23/survivorship-bias/

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