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Equation 6 · Part 3 · Cognitive Bias Was the Label; Attention Sink Is the Suspect

Symbol n

σ=p0(1−p0)/n≈0.0086\sigma = \sqrt{p_0(1-p_0)/n} \approx 0.0086
nn

What this part means

n is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

n is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…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 sits 0.40 - 0.3333 ≈\approx 0.0667 above that null mean, which is z ≈\approx 7.75 standard…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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