Other · Statistics

Survivorship Bias

You can only study what is still around to be studied. When the failures quietly drop out, what remains tells a flattering lie. Two short steps: armour a bomber, then read a fund advert.

1

Armour the bomber

It's 1943. Every dot below is a bullet hole on a bomber that made it back from a mission. Armour is heavy, so you can only add it to one part of the plane. Where do you put it?

Add armour to…
2

The same trick, in your inbox

A hundred investment funds start with $100 each. None has any skill: every year each one goes up or down at random. Any fund that falls below $80 loses its investors and quietly closes. Ten years on, an advert shows you the funds still open.

$0$100$200$300year 0year 10
Average fund in the advert: $100 became
$141
Average of all 100 that started
?

The missing data is the data.

Nothing here has any skill, yet the funds you get to see look brilliant, because the failures were removed before anyone looked. Before learning from the winners, ask what happened to everyone who started.

Worth knowing

Where it comes from

Abraham Wald, 1943

Wald, a statistician in a wartime research group at Columbia, wrote the analysis of damage to returning bombers. The popular telling is simplified, but the core point is his: account for the planes that never came back.

Where else it hides

Winners are easy to find

Dropout billionaires, old buildings that were 'built to last', customer surveys answered only by customers who stayed. Each is a sample that the failures had already left.

Why anyone cares

Your data has survivors too

A churn model trained only on current customers, a credit model that only sees loans that were approved: both learn from whoever made it through, and miss exactly the cases that matter most.

The bullet holes and the funds are simulated in your browser. Hits land evenly across the plane, and every fund is a random walk with no edge.

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