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f≈1.49×10−3f \approx 1.49\times10^{-3}

Why this formula appears here

This is a DERIVED quantity, not a measurement: it has not been run against real per-country population totals or the actual SharedResponsesSurvey.csv microdata, and no value of ρR,Y\rho_{R,Y} for any real country is claimed here. What can be computed honestly, using only the paper’s own reported extremes for n — 101 respondents at the low end, 448,125 at the high end [ 1 ] — is how small ρR,Y\rho_{R,Y} would need to be, at illustrative (not dataset-matched) population scales, to produce a cross-country divergence of δ\delta = 0.1 , a magnitude in the range visible between clusters in the paper’s own Fig. 3b radar plot. For a nation of order 10^{6} residents sampled at n=101 : f ≈\approx…

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f≈1.49×10−3f \approx 1.49\times10^{-3}

Equation 31 · AI Ethics

Forty Million Clicks Through One Uneven Door

This equation gives an approximation: it relates the quantities while allowing an approximation.

This is a DERIVED quantity, not a measurement: it has not been run against real per-country population totals or the actual SharedResponsesSurvey.csv microdata, and no value of ρR,Y\rho_{R,Y} for any real country is claimed here. What can be computed honestly, using only the paper’s own reported extremes for n — 101 respondents at the low end, 448,125 at the high end [ 1 ] — is how small ρR,Y\rho_{R,Y} would need to be, at illustrative (not dataset-matched) population scales, to produce a cross-country divergence of δ\delta = 0.1 , a magnitude in the range visible between clusters in the paper’s own Fig. 3b radar plot. For a nation of order 10^{6} residents sampled at n=101 : f ≈\approx…

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