Peter Delaney
Member
Skeptic and stats guy here (psychologist, but I do statistics a lot). Recently my fellow left-wingers have been falling into election denialism and a commonly-cited piece of evidence showing up on reddit is the Election Truth Alliance's conclusion that there was electronic manipulation of voting machines in Clark County, NV. Their main argument is that only for early voting do you see "more stability" in the vote totals and not just random scatter.
I am super sad that Trump won, but their data show a common stats misunderstanding, and no evidence of vote manipulation that I can see. Specifically, this is the "law of small numbers" fallacy. If you measure something more times, your estimate of the true value gets more precise. That's why raising the sample size in studies makes them more trustworthy: you measure the average score more accurately when you measure it more times.
In the Election Truth Alliance Figures, watch the horizontal axis. On election day, the axis is stretched out but there are no machines getting lots of votes (because it's only one day). On the early voting one, the axis includes lots of machines that averaged a ton of votes (because it is adding up over many days when people could vote there). As the number of votes go up, you would expect them to look more like the real voting pattern. This is the same bad math the right wing used and it is hot garbage again.
Kahneman and Tversky in a famous paper asked people to guess where it would be more likely you'd get 60% boys born on a given day: a hospital that has 10 births per day or one that has 100 births per day. The answer is the small hospital, because you get more variability with a small number of births. This is super-counterintuitive to most people so they get it wrong unless they know statistics. You can make it more obvious if you make it more extreme: where is it more likely to get all boys, a hospital with one birth or one with 100? Obviously it's 1, because you flip the coin once and get tails a lot. With 100, you have to flip the coin 100 times in a row and get all tails. That almost never happens.
Same with the Nevada votes. More votes, more accurate measurement of the 60%:40% ratio that people in that county had. (Here, it's not a "fair coin flip" because there are more Trump voters than Harris voters there). Even people who know a fair bit of statistics still make the law of small numbers error, but people who are very good at it shouldn't.
Feel free to share.
I am super sad that Trump won, but their data show a common stats misunderstanding, and no evidence of vote manipulation that I can see. Specifically, this is the "law of small numbers" fallacy. If you measure something more times, your estimate of the true value gets more precise. That's why raising the sample size in studies makes them more trustworthy: you measure the average score more accurately when you measure it more times.
In the Election Truth Alliance Figures, watch the horizontal axis. On election day, the axis is stretched out but there are no machines getting lots of votes (because it's only one day). On the early voting one, the axis includes lots of machines that averaged a ton of votes (because it is adding up over many days when people could vote there). As the number of votes go up, you would expect them to look more like the real voting pattern. This is the same bad math the right wing used and it is hot garbage again.
Kahneman and Tversky in a famous paper asked people to guess where it would be more likely you'd get 60% boys born on a given day: a hospital that has 10 births per day or one that has 100 births per day. The answer is the small hospital, because you get more variability with a small number of births. This is super-counterintuitive to most people so they get it wrong unless they know statistics. You can make it more obvious if you make it more extreme: where is it more likely to get all boys, a hospital with one birth or one with 100? Obviously it's 1, because you flip the coin once and get tails a lot. With 100, you have to flip the coin 100 times in a row and get all tails. That almost never happens.
Same with the Nevada votes. More votes, more accurate measurement of the 60%:40% ratio that people in that county had. (Here, it's not a "fair coin flip" because there are more Trump voters than Harris voters there). Even people who know a fair bit of statistics still make the law of small numbers error, but people who are very good at it shouldn't.
Feel free to share.