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Multiple testing

Try enough versions of an idea and one will look good by luck.

Throw enough darts blindfolded and one of them will land near the bullseye. Nobody would call that aim. Multiple testing is the same situation in research: every extra version of an idea, a different window, a different filter, a different holding period, is another dart. The more versions you try, the more certain it becomes that at least one of them looks good by chance alone, even if none of them has any edge.

The danger is not the trying, it is the hiding. A result that came from the twentieth attempt and a result that came from the only attempt look identical on a chart. Only the count of attempts tells them apart, and that count is almost never printed next to a pitch. The count also adds up over time and across people: last year's variations, and every paper written about the same family of ideas, belong to the same pile of darts.

That is why the logbook writes each idea down before testing it and keeps a running tally for every family. A new test has to clear a bar that rises with every earlier attempt, the rule explained under correction for looking twice. In the momentum entry that tally is what closed the family: the last written reason to look again was spent, and a fresh attempt would have to pay for all the earlier ones.

Explore the diagram (scroll horizontally on small screens)
Chance that at least one version passes by luckOne honest look: 5%123%540%1064%2087%40About two in three by twenty triesVersions of an idea with no edge, tried one after another

Where this word comes up

First needed in the log entry H-044 · Short-term momentum in large caps: no robust edge in our test.

From the same entry: Betting against losers, High turnover, Liquid names, Momentum, Relative strength ranking, Shuffle test, The null.

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