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Social Proof Entry #0223 Classified → Declassified

Why the group’s estimate beats the individual’s

Averaging cancels errors that point in different directions. It does nothing about errors everyone shares, and discussion creates exactly those.

Filed by The Archivist January 10, 2023 2 min read

▶ No visual record attached The written record below is complete.
Plate 489 — Eight hundred guesses and one conversation

Intuition test — answer before you read on

Why can group discussion make a collective estimate worse?

Correct answer: B

Option A is one route to correlated error, not the general mechanism. Option C is unrelated to accuracy. Independent guesses aggregate close to the true value because unrelated errors cancel, while providing information about others’ estimates narrows the spread without improving accuracy and increases confidence in the result.

Eight hundred fairgoers guess the weight of an ox and the average lands within a pound of the true figure. Eight colleagues discuss the same quantity for ten minutes and converge on a number worse than four of them started with.

What everyone sees

Crowd accuracy is treated as a property of groups, which suggests that getting people together and talking should improve estimates. The property belongs to the aggregation, not the gathering. Averaging works because individual errors are independent, and conversation is the mechanism that destroys independence.

What is actually happening

Galton’s report on a weight-judging competition found the aggregate of independent guesses remarkably close to the true value despite wide individual dispersion — the errors cancelling because they were unrelated. Lorenz, Rauhut, Schweitzer and Helbing tested what happens when that condition is relaxed: giving participants information about others’ estimates narrowed the spread of answers while leaving accuracy unimproved or worse, and raised participants’ confidence in the converged figure. That combination is the trap. The group ends with a tighter distribution and more conviction, and reads both as evidence of having got closer, when the only thing that changed was how correlated the errors became.

Why it stays hidden

The degradation hides because convergence looks like progress. Disagreement narrowing is the visible sign that a meeting is working, and the resulting confidence is shared, so no participant has a private doubt to raise. The independent estimates that would have averaged well were never written down.

Aggregation cancels independent errors only. Discussion correlates them, then supplies confidence in the correlated result.

Aggregation cancels independent errors only. Discussion correlates them, then supplies confidence in the correlated result.

The hidden part — entry #0223

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Aggregation cancels independent errors only. Discussion correlates them, then supplies confidence in the correlated result.

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Sources & further reading 2
  1. Galton — vox populi
  2. Lorenz, Rauhut, Schweitzer & Helbing — how social influence can undermine the wisdom of crowd effect
Index terms confidenceconvergenceerror independencesocial proofwisdom of crowds

Cross-references

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← Earlier file The reason a boycott needs visibility to work Later file → The reason a rumour gets shorter and more certain

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File record

Entry
#0223
Pillar
Social Proof
Declassified
January 10, 2023
Custodian
The Archivist
Archive size
1,015 / 10,000

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1,015 of 10,000 patterns catalogued. The rest are still hidden in plain sight.

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