Equation 11 · Part 4 · Forty Million Clicks Through One Uneven Door
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
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 identity’s uncomfortable lesson for any self-selected big-data project is that the error term does not shrink as n grows unless f grows with it — and for a national population sampled through a viral website, f stays vanishingly small no matter how large n gets. Meng introduced this identity using the 2016 US presidential election’s Cooperative Congressional Election Study data as its worked example, and the pattern he documents there is the same “Law of Large Populations” this article is…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.