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Equation 27 · Cognitive Bias Was the Label; Attention Sink Is the Suspect

What does this equation mean?

ϕsink\phi_{\mathrm{sink}}

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the sink-attributable fraction. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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ϕsink\phi_{\mathrm{sink}}

Symbol phi_sink

the sink-attributable fraction.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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What the article says around this equation

Sorting what stands on which footing is worth doing plainly rather than blending it into a closing flourish. Observed: the paper’s measured seventy-three-of-a-hundred-and-four primacy dominance, its SPEM protocol, its appendix regression coefficients and standard errors, and the exact absence of any attention-sink citation in the published camera-ready’s Related Work section or bibliography, all drawn from the primary source and confirmed directly against it. Derived: the binomial null-model calculation showing the measured effect is not a threshold artifact, computed once from the paper’s own stated sample size and threshold rule using nothing but arithmetic. Proposed: the sink-attributable…
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Sorting what stands on which footing is worth doing plainly rather than blending it into a closing flourish. Observed: the paper’s measured seventy-three-of-a-hundred-and-four primacy dominance, its SPEM protocol, its appendix regression coefficients and standard errors, and the exact absence of any attention-sink citation in the published camera-ready’s Related Work section or bibliography, all drawn from the primary source and confirmed directly against it. Derived: the binomial null-model calculation showing the measured effect is not a threshold artifact, computed once from the paper’s own stated sample size and threshold rule using nothing but arithmetic. Proposed: the sink-attributable fraction ϕsink\phi_{\mathrm{sink}} , defined with explicit units, a stated protocol built entirely from already-released tools, and a numeric threshold on either side of which the dispute resolves — but not computed, because computing it needs compute this article does not have. Not performed: any training run, any ablation on the exact checkpoints this paper used, and any direct measurement of how much of Guo and Vosoughi’s own reported effect a sink accounts for.

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