Equation 18 · Part 1 · Forty Million Clicks Through One Uneven Door
Symbol sigma_Y
What this part means
the outcome’s population standard deviation.
Its job in the formula
sigm is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol sigma_Y→Article meaning
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 - = \, , where is the “data defect correlation” between selection and outcome across the full population, f = n/N is the sampling fraction, and is the outcome’s population standard deviation.
The passage around this formula
Solving for the minimum defect correlation needed to produce a given bias , and taking the most generous possible bound for a roughly binary preference indicator, 0.5 , gives what this article calls, for a specific country c , its Country Selection-Divergence Bound:
Learn the underlying idea
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Sources cited in the article section
- [11] Statistical Paradises and Paradoxes in Big Data (I): Law of Large Populations, Big Data Paradox, and the 2016 US Presidential Election ↗
- [1] The Moral Machine experiment ↗
These citations provide research context; check each source for the exact claim it supports.