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Equation 4 · Part 2 · Cognitive Bias Was the Label; Attention Sink Is the Suspect

=

p0=1/3p_0 = 1/3
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

A skeptical reader’s first move should be to ask whether that headline number could be sampling noise dressed up by a generous threshold. It is worth actually running that check rather than asserting an answer to it. Under a null model in which a classifier’s selections are entirely independent of label position — no cognitive bias, no architectural quirk, nothing but content — the expected share of selections landing in any one third of an evenly split label list is p0p_0 = 1/3 , and with n = 3000 independent trials per dataset the standard deviation of that observed share is σ\sigma = p0(1−p0)/n\sqrt{p_0(1-p_0)/n} ≈\approx 0.0086 , well under one percentage point. The paper’s own forty-percent threshold…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.