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Equation 18 · Part 1 · Forty Million Clicks Through One Uneven Door

Symbol sigma_Y

σY≤0.5\sigma_Y \le 0.5
σY\sigma_Y

What this part means

the outcome’s population standard deviation.

Its job in the formula

sigmaYa_Y is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

For a population of size N with a binary response indicator R (did this person’s data reach the sample) and an outcome Y (their realized value on some Moral-Machine-relevant preference indicator), Meng’s identity relates the sample mean to the true population mean as Yˉn\bar{Y}_n - YˉN\bar{Y}_N = ρR,Y\rho_{R,Y}1−ff\sqrt{\frac{1-f}{f}}\,σY\sigma_Y , where ρR,Y\rho_{R,Y} is the “data defect correlation” between selection and outcome across the full population, f = n/N is the sampling fraction, and σY\sigma_Y is the outcome’s population standard deviation.

The passage around this formula

Solving for the minimum defect correlation needed to produce a given bias δ\delta , and taking the most generous possible bound for a roughly binary preference indicator, σY\sigma_Y ≤\le 0.5 , gives what this article calls, for a specific country c , its Country Selection-Divergence Bound:

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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