The linked analysis of these four events is very easy to read [here] – or so say I, but for five years my work was researching aspects of statistical anomalies, so here is my summary for anyone who feels differently.
Batches of counted votes can be very unbalanced towards either candidate or they can be large, but there is a strong inverse relationship between the two. The paper analyses a lot of data to show the improbability of both very unbalanced and very large. This is a good test because it tends to get past fraudsters, who are focussed on the raw margin of votes more than the ratio or the batch size.
A secondary tell – and this one is already well-known in fraud detection in third-world countries – is improbable ratios of the losing candidate to minor candidates, e.g. Trump getting little more than twice as many votes as the minor candidates in the second Michigan anomaly when the state’s average (calculated including that data point) was 31 to 1. The paper finds this combination of grossly-violated size-margin ratio and grossly-violated Trump-to-third-party ratio particularly suspicious (as do I). It also computes what happens if you pull these four data points in towards merely the 99th percentile of the size-margin relationship – leaving them still anomalous but not so wildly implausible. (Biden loses his alleged lead in all three states.) It also notes some related statistical oddities.
My guess is that the idea of the US waking up to what I’d woken up to – Trump the heavy odds-on favourite – terrified his enemies. Their pre-election narrative was that Trump would at first “appear” to win, after which “days and weeks of counting” (Zuckerberg) would show he had lost. But while Zuckerberg promised to “educate” America to believe in that, I think someone in the early hours of the 4th panicked that if the US electorate woke up to a bookies-call-it-for-Trump breakfast on Wednesday morning, that would never be erasable from the US mind, no matter how many votes they then “found”. So they made sure that didn’t happen. (You never know: it might yet be that what they did to prevent that becomes equally hard to remove from America’s consciousness. You don’t have to be a statistician to think a sudden step function in a smooth graph looks odd.)
So the good news is that my memory for numbers is working fine. The bad news is that I may lose a night’s sleep next election. The very first of the four anomalous points went into the Georgia vote totals soon after 6:30 AM my time – half-an-hour after the normal rising time of Donald Trump and Margaret Thatcher, I am told. (I guess the reason I’m not PM or president is that I’m usually asleep then.) When I first glanced at the results, I thought Georgia was surprisingly close given e.g. the Florida result, but if I’d missed the other three oddities as completely as Georgia’s, I’d have been far less cautious in reviewing the outcome.
Niall Kilmartin, “Good News! I can believe my eyes”, Samizdata, 2020-12-01.
November 20, 2021
QotD: Cheating with both hands
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