Skip to content
0:00 / 0:00

#benford'slaw#statistics#mattparker

Why do Biden's votes not follow Benford's Law?

Stand-up Maths

1.3M subscribers • 12 videos on Hallway

YouTube
  • Recommended by 2 people: 2 on Hacker News.
  • Presented by Matt Parker, mathematician and comedian
  • Linked in the descriptioncjph8914/2020_benfords

Beginner. No background in the topic needed.

3.6M views5 years ago2 recommendations

Computer scienceMath for programmers

Matt Parker explains Benford's Law and demonstrates why it does not apply to precinct-level election data.

My book is cheap at Waterstones and signed at Maths Gear: waterstones.com/book/humble-pi/matt-parker/9780141989143 mathsgear.co.uk/products/humble-pi-signed-paperback Check out Steve Mould's Numberphile video about Benford's Law. youtube.com/watch?v=XXjlR2OK1kM Buy a signed copy of "How Many Socks Make a Pair?" by Rob Eastaway. mathsgear.co.uk/products/copy-of-signed-copy-of-why-do-busse… There’s more on Mark Nigrini’s work here: nigrini.com/benfords-law/ "Benford's Law and the Detection of Election Fraud" 2011 paper. cambridge.org/core/journals/political-analysis/article/benfo… And for balance, here is a paper critical of that other paper (but only in the use of a 'second digit' check and they do not dispute the main Benford's Law claims.). pdfs.semanticscholar.org/e667/b8ad9f58992828ff820ddc8a005de7… And here is a paper by the same author specifically about the 2020 US election results: www-personal.umich.edu/~wmebane/inapB.pdf Get your Chicago Board of Election Commissioners data here! chicagoelections.gov/en/election-results.asp?election=251&ra… Yep, 2069 precincts. Some would say that's too many. data.cityofchicago.org/Facilities-Geographic-Boundaries/Prec… If you must, here are links to people using Benford's Law to suggest the Biden votes were fraudulent. Please do no harass or brigade anyone. github.com/cjph8914/2020_benfords/blob/main/Chicago_Wards_Pr… jonsnewplace.wordpress.com/2020/11/07/joe-bidens-votes-viola… CORRECTIONS - Hello loyal viewer. If you are reading this you most likely regularly watch my videos and know that I put corrections here. But the comment section on this video has been, to put it lightly, "wild". I don't think anyone is checking the corrections here! So I'm going to break with tradition and put the corrections in a pinned comment. But in short: - I should have said I used the Chicago data (instead of a swing state, let's say) because that is what people claiming election fraud were using. I didn't pick it myself to make a point. - Foolishly I cut a bit of the video where I talk about how Trump's data is also a bad Benford fit but that massive spike of 1s makes it look like a good match. Check out how low 3, 4 and 5 are. - There has been specific criticism of aspects of that paper I read from, but only the usual back-and-forth of academics. Everyone agrees with the idea that Benford is not a magic tool to detect election fraud (nor is any statistical tool really; they all require careful interpretation). - As always, let me know if you spot any other mistakes. Thanks to my Patreon supporters who mean I can spend TWO DAYS trawling through election stats and making plots. I'm meant to be writing a new book you know.

Why it's here

2 people recommend this

What people say. Highly recommended as a clear, mathematically sound explanation of Benford's Law and its limitations in data analysis.

nitrogenon Hacker News • Recommends

On “California Public Utilities Commission fired director who exposed missing $200M”

I am replying for the sake of the hidden sibling comment: I don't watch any major media coverage of politics, but a mathematician and comedian I follow on YouTube (from a different country who presumably has no horse in the race) has analyzed some of the numerical allegations of fraud: - link - link - link to this video

MrJohzon Hacker News • Recommends

On “Investigating and preventing scientific misconduct with Benford’s law”

Matt Parker did a good video with lots of visuals to explain why Benford's Law works in general, but why it cannot always be simply applied to election results. link to this video

tzson Hacker News • Mentions

On “Trump says he fired top cybersecurity official Christopher Krebs”

Precincts in most places are designed to have roughly the same number of voters. Hence, Benford's law does not work for them. Here's a good explanation, using Chicago precinct data 1. A good rule of thumb is that if Benford's law does not apply to the legal voter population of your precincts/counties/wards/districts/whatever, or when applied to the total number of registered voters in those areas, then it won't apply to the results of a fair election either. (This is why if you ask every adult you know their height in inches and then look at the distribution of first digits, it will look nothing at all like a Benford's law distribution. The heights are going to be the sum of two normal dis…

ehsankiaon Hacker News • Mentions

On “U.S. Capitol Locked Down Amid Escalating Protests”

> Can you link me to those majority of cases? link link to this video And this third one just shows how much of a joke some of the claims in the lawsuits are: link Like, this is basic high school level statistics they can't even get right.

contravarianton Hacker News • Mentions

On “Using Benford’s Law to Detect Bitcoin Manipulation”

Benford's law doesn't give much of a guarantee except in highly specific scenarios. You can however show it's pretty accurate if you've got a 'smooth' probability distribution spanning multiple orders of magnitude (how much of a guarantee you can give depends on how specific you define what it means to be 'smooth'). The rigged elections example you gave was, I believe, mostly explained by the fact that the number of votes they were looking at were all roughly the same order of magnitude 1. 1: link to this video

gdavissonon Hacker News • Mentions

On “Investigating and preventing scientific misconduct with Benford’s law”

I don't know about that particular analysis, but there've been a number of such claims that don't stand up (mostly because, as you ask, the districts themselves don't follow Benford's law). See, for example, "Inappropriate Applications of Benford’s Law Regularities to Some Data from the 2020 Presidential Election in the United States" by Walter R. Mebane, Jr. 0, and "Why do Biden's votes not follow Benford's Law?" by Matt Parker 1. This fits the general pattern that there's been a lot of suspicion raised about fraud in the 2020 election, but none of it actually seems to pan out. 0 link 1 link to this video

runarbergon Hacker News • Mentions

On “How the Gaza Ministry of Health Fakes Casualty Numbers”

…giving unrealistic expectations. This is why you need to clarify which distribution you expect, and—more importantly—justify it by pointing at other examples from similar pools. This is never done here, which is why I call it pseudo-statistical nonesence. Stating it is abnormal is not enough, even when you provide some fancy box plots to do so. 1: link to this video…

adgjlsfhk1on Hacker News • Mentions

On “Suspicious data pattern in recent Venezuelan election”

Precints have roughly even populations and therefore typically don't conform to Benford's law. link to this video

nick238on Hacker News • Mentions

On “Suspicious data pattern in recent Venezuelan election”

There were some pretty shit analysises of the 2020 US elections that Matt Parker covered with videos like "Why do Biden's votes not follow Benford's law?"1 and "Why was Biden's win calculated to be 1 in 1,000,000,000,000,000?"2. I don't know about other countries, but the amount of data that every county in every US state produces makes systematic fraud pretty much impossible. If there's literally only 3 numbers produced by the Venezuelan government, you need to be seriously incompetent to have detectable fraud because techniques like Benford's or Zipf's law need lots of individual numbers. 1: link to this video 2: link