AtlasReasonAnchoring, and how one number moves the next

Bias · how one number moves the next · 7 min read

Anchoring, and how one number moves the next

Tversky and Kahneman's wheel-of-fortune study, the Many Labs replication, a simulated pull toward high and low anchors, and the anchoring game itself.

In short

Anchoring is the pull of a number you have just considered on an estimate you make next, even when that number carries no real information about the answer. Amos Tversky and Daniel Kahneman demonstrated it in 1974 with a rigged wheel of fortune: people who saw the wheel stop on a low number gave lower estimates to an unrelated question than people who saw it stop on a high number, despite the wheel obviously having nothing to do with the answer. The effect has since been measured across dozens of different quantities and is one of the more consistently reproduced findings in the whole field of judgement research.

An everyday example

A shop tag reads "was 90 dollars, now 45." The 90 may or may not reflect what anyone actually paid before, but once it is seen, 45 looks like a bargain against it. Shown the same 45-dollar item with no earlier number attached, the same shopper often judges the price quite differently, even though nothing about the item has changed.

The 90 is doing work it has no real claim to: it was simply the first number in view, and the mind measures the second number against it rather than against some independent sense of what the item is worth.

The classic experiment

Amos Tversky and Daniel Kahneman reported the demonstration that gave anchoring its name in their 1974 Science paper. Participants watched a wheel of fortune, secretly rigged to stop on either 10 or 65, spin and land. They were then asked two questions about a topic the wheel obviously had nothing to do with: what percentage of the countries in the United Nations were African nations. First, participants said whether they thought the true percentage was higher or lower than the number the wheel had just shown; then they gave their actual best estimate. The group who saw the wheel stop on 10 gave a median estimate around 25%; the group who saw it stop on 65 gave a median estimate around 45%. The wheel's number carried no information whatsoever about African Union membership, and participants knew that, yet the two groups answered a genuine factual question quite differently depending only on which arbitrary number they had just seen.

Jacowitz and Kahneman extended the demonstration in 1995 to a wide range of everyday quantities: the height of the tallest redwood, the population of Chicago, the freezing point of vodka, and many more. For each quantity they set a low and a high anchor from an earlier pilot survey, then asked new participants to say whether the true value was above or below the anchor before estimating it directly, exactly as in the wheel study. Across the whole set of questions, estimates given a high anchor consistently and substantially exceeded estimates given a low anchor, showing the wheel result was not a one-off: anchoring shows up reliably across very different kinds of quantities, familiar and unfamiliar alike.

Does it replicate?

Replication grade: Strong: one of the more robust effects in the multi-lab Many Labs project

Anchoring is among the effects that were retested directly in the large, multi-site Many Labs replication project, which reran a set of classic psychological findings in dozens of laboratories at once specifically to check whether they held up outside their original setting. Anchoring came through as one of the more robust and consistent effects in that collection: it reproduced clearly across the great majority of the participating labs, with comparatively little variation in its direction or presence from site to site, which is not true of every classic finding retested there.

The size of the pull varies with the question and the anchor, and expert knowledge of a topic can reduce it somewhat, but the basic pattern, a number you have just been shown pulling your subsequent estimate toward it, is one of the most consistently observed effects in the judgement and decision-making literature.

A simulated pull toward the anchor

A number line with a dropped pin, and estimates drawn toward it from both sidesSimulated, not real, data: seven illustrative estimates given a low anchor of 10 average 26, and seven given a high anchor of 85 average 61, against a true value of 42. Both groups saw the same question; only the anchor differed, and both sets of guesses lean toward the number they were shown rather than toward the truth.low anchor (10)truth (42)high anchor (85)a number just consideredEstimates after the high anchorEstimates after the low anchor
Simulated, not real, data: seven illustrative estimates given a low anchor of 10 average 26, and seven given a high anchor of 85 average 61, against a true value of 42. Both groups saw the same question; only the anchor differed, and both sets of guesses lean toward the number they were shown rather than toward the truth.

The diagram on this page simulates, rather than measures, a set of estimates: seven invented answers given a low anchor and seven given a high anchor, both compared to a single true value. It is built to show the shape of the pull, not to report a real result; the anchoring game further down this page produces your own actual answers, which the game's own result compares directly.

Try it: the anchoring game

Eight estimation questions, each preceded by a comparison number set far above or far below the truth. Answer normally, then see whether your answers after high numbers ran higher than your answers after low numbers.

The game runs in your browser, and your browser is not running the script for this page.

Nothing you type on this page leaves your browser tab: no answer, guess or score is sent anywhere or stored.

How to catch it

Anchoring works even on people who know about anchoring, which is why the fixes below are about changing the estimate, not just knowing the effect exists.

  • Before hearing any number, form your own independent estimate first, even a rough one, and write it down.
  • When a number is presented as a comparison, ask where it came from and whether it has any real connection to the quantity you are estimating.
  • Deliberately consider reasons the true value could be far from the number you were just given, not only reasons it could be close to it.
  • In a negotiation, notice who states a number first; making the first offer sets the anchor other people will be pulled toward, and receiving one means the same is being tried on you.
  • Seek out an independent source, such as a published figure or a second, differently anchored estimate, before settling on a final number.

Check yourself: three questions

1. In Tversky and Kahneman's 1974 wheel-of-fortune study, what made the result striking?
Why

Participants knew the wheel was arbitrary and had nothing to do with African Union membership, yet the group shown 65 still gave a notably higher median estimate than the group shown 10.

2. What did Jacowitz and Kahneman's 1995 study add to the original wheel result?
Why

Testing many different everyday quantities with their own low and high anchors, the study found the pull toward the anchor held up broadly, showing the effect was not specific to the original UN-membership question.

3. How did anchoring perform in the multi-site Many Labs replication project, compared with some other classic findings retested there?
Why

Anchoring was one of the more robust effects in that collection, showing up reliably across most of the labs that retested it, in contrast to some other classic effects that varied far more from site to site.

Sources

Text on this page is original to MyTestAtlas, written from the studies listed. The diagram is drawn by this site and is not a copy of any published figure.