Тёмный

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

Stand-up Maths
Подписаться 1,2 млн
Просмотров 3,4 млн
50% 1

My book is cheap at Waterstones and signed at Maths Gear:
www.waterstones.com/book/humb...
mathsgear.co.uk/products/humb...
Check out Steve Mould's Numberphile video about Benford's Law.
• Number 1 and Benford's...
Buy a signed copy of "How Many Socks Make a Pair?" by Rob Eastaway.
mathsgear.co.uk/products/copy...
There’s more on Mark Nigrini’s work here:
www.nigrini.com/benfords-law/
"Benford's Law and the Detection of Election Fraud" 2011 paper.
www.cambridge.org/core/journa...
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...
And here is a paper by the same author specifically about the 2020 US election results:
www-personal.umich.edu/~wmeban...
Get your Chicago Board of Election Commissioners data here!
chicagoelections.gov/en/elect...
Yep, 2069 precincts. Some would say that's too many.
data.cityofchicago.org/Facili...
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_benf...
jonsnewplace.wordpress.com/20...
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. So, thanks a lot.
/ standupmaths
As always: thanks to Jane Street who support my channel. They're amazing.
www.janestreet.com/
Filming and editing by Matt Parker
Music by Howard Carter
Design by Simon Wright and Adam Robinson
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
UK book: mathsgear.co.uk/collections/b...

Развлечения

Опубликовано:

 

9 ноя 2020

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 15 тыс.   
@berserkerciaran
@berserkerciaran 3 года назад
Not to get political, but what the hell is a number?
@chazk7530
@chazk7530 3 года назад
They're some kind of Arabic invention.
@nerdbot2.025
@nerdbot2.025 3 года назад
@@chazk7530 um actually the number zero is an arabic invention you would now this if you didn't have some stupid L I B E R A L education /s
@SquidwardTentacles225
@SquidwardTentacles225 3 года назад
@@chazk7530 oh I was thinking it was some type of antibiotic
@sageoverheaven
@sageoverheaven 3 года назад
It's racist.
@chazk7530
@chazk7530 3 года назад
@@SquidwardTentacles225 number sounds more like an anesthetic.
@deept3215
@deept3215 3 года назад
If you write the numbers in binary, apparently almost all the numbers start with a 1
@KhoaNguyen-fs6to
@KhoaNguyen-fs6to 3 года назад
But the law is for base 10, not base 2, dear!
@lorenshure17
@lorenshure17 3 года назад
Only 0 in binary doesn’t start with a 1. This is irrelevant for the decimal world
@matthewhubka6350
@matthewhubka6350 3 года назад
More specifically 100% of numbers start with 1 in binary
@raphaelmillion
@raphaelmillion 3 года назад
@@KhoaNguyen-fs6to benfords law works for all bases.
@castonyoung7514
@castonyoung7514 3 года назад
@@matthewhubka6350 No. There's still zero. Also I suppose you could right any number with a leading trail of zeros.
@Eloquence00
@Eloquence00 3 года назад
Im sure the comments will be all perfectly reasonable and coherent discussion on the complete video.
@traskforge
@traskforge 3 года назад
Phrhbfnxlxir bkdkzuxtzvwn bald man doodoo
@muyassarhuda1129
@muyassarhuda1129 3 года назад
Lmao sans from undertale number talk
@oofed9250
@oofed9250 3 года назад
Especially right now everyone got their anger out at the capitol!
@vampirelordx1
@vampirelordx1 3 года назад
Hahaha!
@zingerbingers7929
@zingerbingers7929 3 года назад
im joe balden, and i approve this message
@claireumstead4241
@claireumstead4241 3 года назад
I love how you pointed out the importance of context in interpreting data! It's so often overlooked.
@bmalloy0
@bmalloy0 3 года назад
Honestly that was the most interesting part about this video
@maxe159
@maxe159 3 года назад
This. So many times i interact with people who don't account for context and just say,"the number don't lie". Of course numbers don't lie, but people can and you have to know the context behind the numbers
@berserkerciaran
@berserkerciaran 3 года назад
@@maxe159 "Senor Joe, the numbers don't lie, and they spell disaster for you at Sacrifice!" - Scott Steiner
@oliveravery9575
@oliveravery9575 3 года назад
@范德萨阿斯顿发大水发大水发阿斯顿发大水发大水发范德萨我和你吻别我爱你他妈的翔宇我和你吻别元的钱破开该 it's certainly a good question to ask but it's also important to mention specifics. His logic seemed sound to me and if you just say "he could be wrong" without pointing to anything specific, it doesn't hold any weight.
@Naryoril
@Naryoril 2 года назад
I'd say rather than overlooked, it's often swept under the rug to push an agenda.
@SehnsuchtYT
@SehnsuchtYT 3 года назад
Let's look at the comments section to see what the experts think
@kane2742
@kane2742 3 года назад
The Dunning-Kruger Effect is a hell of a thing. All the gullible conspiracy theorists who haven't taken a math class in a decade or more are suddenly mathematicians, just like how they're also epidemiologists and economists who clearly know "so much more" than people with degrees in those fields.
@boiledelephant
@boiledelephant 3 года назад
😂
@crunchymemeproductions3352
@crunchymemeproductions3352 3 года назад
@@kane2742 .... Laws don't apply to the left. 😂
@jajajajajaja867
@jajajajajaja867 3 года назад
You think this guy is an expert? If he were a true unbiased mathematician then he would be arguing that Trumps distribution should follow the same pattern if his theory on the precincts was correct.
@Defenestrationed
@Defenestrationed 3 года назад
@@jajajajajaja867 being unbiased doesn't mean that he agrees with your narrative lol
@Yiazamat
@Yiazamat 3 года назад
The way I see it, these things are like metal detectors. They're great at finding points of interest, but you have to start digging to see if it's a coin or a bottlecap.
@hexeddecimals
@hexeddecimals 3 года назад
Perfect analogy
@Verrisin
@Verrisin 3 года назад
@JRPGFan20000 I was gonna go with unexploded bombs, but sure, I guess a gun kind of works too. XD
@chonchjohnch
@chonchjohnch 3 года назад
I think this is a fair assessment. I don’t see why people are against recounting the election
@JohnFromAccounting
@JohnFromAccounting 3 года назад
Yes. It's a red flag detector. A red flag comes up and further investigation must be done.
@FastlaneProductions1
@FastlaneProductions1 3 года назад
@JRPGFan20000 or two pretty best friends
@tomseiple3280
@tomseiple3280 3 года назад
Fellow data geek here, this was a TEXTBOOK example of how an analyst approaches their work. Bravo, well done!
@slevinchannel7589
@slevinchannel7589 2 года назад
'Some More News'. He makes the best Biden-Roasts.
@wizzotizzo
@wizzotizzo 2 года назад
@@slevinchannel7589 you made it political 😐
@slevinchannel7589
@slevinchannel7589 2 года назад
@@wizzotizzo No, i didnt. I literally just said something about Biden-Coverage. See for yourself: the channel i named literally covers BOTH THE GOOD AND THE BAD. Yes, i said Both as in 'how unbiased news should work'.
@conception3509
@conception3509 2 года назад
@@slevinchannel7589 you made it political 😐
@brokencrayon3476
@brokencrayon3476 2 года назад
@@conception3509 you're watching a video on this topic gtfo
@MatthewLiuCube
@MatthewLiuCube 3 года назад
1:58 Let's not get distracted that there are 1000π counties in the US
@dougthedonkey1805
@dougthedonkey1805 3 года назад
That’s wack
@cjwrench07
@cjwrench07 3 года назад
Mmmmmm, a thousand counties with pie.
@norpedholland5696
@norpedholland5696 3 года назад
@@cjwrench07 Gotta catch em all.
@casteanpreswyn7528
@casteanpreswyn7528 3 года назад
I hate how close to reality this statement is.
@robspiess
@robspiess 2 года назад
1kπ
@forgetfulHaWk
@forgetfulHaWk 3 года назад
They need to start bringing out maths experts on election coverage, its not like they don't have huge amounts of time.
@maxwellsequation4887
@maxwellsequation4887 3 года назад
Mathematicians don't have time for stupid elections
@lam8138
@lam8138 3 года назад
@@poorman-trending nah, more like most people watching the news won’t care abt a mathematician and just arguing over nothing somehow brings in better ratings and views
@thenomad9963
@thenomad9963 3 года назад
@@poorman-trending Exactly, and I would guess a mathematician wants nothing to do with politicians for this reason--or maybe they would because they want to show them what the truth actually is?
@Soulwrite7
@Soulwrite7 3 года назад
@@maxwellsequation4887 Perhaps they should, we need them voting.
@Glassesgorilla
@Glassesgorilla 3 года назад
@@maxwellsequation4887 Pretty sure they do. It just the general public is less likely to listen to a mathematician than a celeb or political figure, thus lower rating for news organization.
@jonathanodude6660
@jonathanodude6660 3 года назад
This is why statistics is a degree and profession, and not a topic.
@wow1522
@wow1522 3 года назад
That's true for so many current issues.
@ChaoticNeutralMatt
@ChaoticNeutralMatt 3 года назад
@Rye Bread lmao that was great
@ChaoticNeutralMatt
@ChaoticNeutralMatt 3 года назад
I'll just leave my disagreement here. Plenty of stuff you can discuss without a degree. Just because you might get it wrong doesn't mean you shouldn't discuss it
@usfaaartillerist
@usfaaartillerist 3 года назад
I believe that Mark Twain had an adage, “You have lies, damn lies and statistics.” Based on this it appears you can use several different number sets to argue whichever point you are trying to prove. I have found that looking at the process to outcome is ultimately the only way to actually prove a thing. But as he said, these are only used to determine if something needs to be investigated. It appears that, in the case of Chicago, that a closer look is needed.
@leocossham
@leocossham 3 года назад
Statistics is definitely a topic though?
@wj3186
@wj3186 2 года назад
The takeaway: if you discover an anomoly, you actually have to investigate the source of said anomoly before you can accurately say you know its cause.
@jefftitterington7600
@jefftitterington7600 2 года назад
Studying the anomalies, rather than the commonalities, might produce some interesting insights. We know some athletes are enormously better than average. We can ask what role does economic status play into their performance?
@deedewald1707
@deedewald1707 2 года назад
I like both W J and Jeff original comments !
@crossingthemountain
@crossingthemountain 2 года назад
The problem is that all places where anomalies are accused, seem to lock up and hide the data to substantiate their “certification.” Sort of like Pfizer asking for, what, 95 years or something before disclosing the study data on the vaccine? Quite equally, and scaringly similar when you think about it.. but you probably aren’t concerned or see the analogy ;)
@andyanders
@andyanders 2 года назад
If I understand what you're saying, I agree. For example, the anomaly in the Trump vote tallies compared to the Biden tallies may, I suspect, be explained in several ways, but most of them having to do with the programming of the voting machines, or how the results are calculated after they're input. What algorithms could be used to modify (just assuming hypothetically, not claiming they were) the election results? Would they take into consideration the possibility that some of the data coming in are invalid? How would they handle for example, a massive input illegitimate votes for one candidate over the other? Would it try to compensate by manipulating the data for both candidates to resemble expected outcomes, according to what forensic analysts might expect? The idea being to hide the cheating enough to make it look legit. I'd like to see an analysis like this this one across a larger sample, or better yet, across two larger samples, one of states that reported no "irregularities" compared with a second, of the collection of states that reported substantial irregularities. That would be interesting...
@supernovaitup
@supernovaitup 2 года назад
Exactly, another great example of this is his "Perfect Bridge Game" video where he explains away the anomaly of a 1 in 2.2 x10^27 event occurring not just once, but several times.
@ericpenrose3649
@ericpenrose3649 Год назад
These kinds of misunderstandings are, I think, a subset of a larger problem of people getting 'evidence' confused with 'indicators.' One is often the other, but not necessarily so. The indicator should cause you to look closer, but if you look closer and find no evidence you shouldn't continue to tout the indicator.
@hedgehog3180
@hedgehog3180 Год назад
Tbf in this case I think the people touting this were just dishonest from the start.
@edgunther8136
@edgunther8136 Год назад
Evidence does not equal proof
@nunyabisnass1141
@nunyabisnass1141 Год назад
​@@hedgehog3180 depends. I personally think they were just desperate. I thought from the beginning that it would be close if trump won by any margin in 2020, but fewer in my view felt the same in 2016 leading to many not accepting that election for vert much rhe same reason trumpers didn't want to accept 2020. It's like many had selective amnesia when it comes to rhe outcomes they wanted.
@jamescollier3
@jamescollier3 5 месяцев назад
Yeah. Even The Colorado Supreme Court thinks it was a blowout. No need to interfere this time. [eyeroll]
@korkiwi
@korkiwi 4 месяца назад
​@@edgunther8136"The absence of evidence is not the evidence of absence."
@ButzPunk
@ButzPunk 3 года назад
"AND ELECT ION DATA" To be honest, if there were someone named "Ion Data" running for any position, I'd be very tempted to elect them based on the name alone.
@SteveDice21
@SteveDice21 3 года назад
This reminds me of that time an acquaintance called Justin Case blocked me from Facebook because I wouldn't stop unnecessarily tagging him in my comments.
@nowster
@nowster 3 года назад
Elect Ions are a bit of a charged subject.
@a_human8489
@a_human8489 3 года назад
ION DATA 2024 Science is right and the media isn’t, also humans suck
@susantummon3463
@susantummon3463 3 года назад
I would elect ion data if it weren't for all the negative energy around, everywhere in their campaign, up, down....strange....I'll get my coat...
@Codricmon
@Codricmon 3 года назад
I, for one, welcome our new, presumably robotic, overlord.
@Cscuile
@Cscuile 3 года назад
Getting some insight behind the votes from a mathematician is refreshing.
@blabby102
@blabby102 3 года назад
Even better then it comes from a Standup Mathematician!
@utley
@utley 3 года назад
@Stephen Thacker how so? I live in Michigan and a lot of us are flabbergasted.
@OM-el6oy
@OM-el6oy 3 года назад
@Stephen Thacker supply a mathematical proof then
@true_neutral3378
@true_neutral3378 3 года назад
@Stephen Thacker I need proof plz
@tezeta3725
@tezeta3725 3 года назад
@Stephen Thacker can you explain further please?
@nmd4332
@nmd4332 2 года назад
I really like that you compared side by side the digit pairs of pi with the last two digits of Biden votes. A very clever way to impartially show the expected variation at that sample size. Without that comparison, people surely would be looking for patterns in the noise, which as we know is a dangerous thing.
@swinde
@swinde 2 года назад
If PI is carried to millions of decimal places there are many of what would seem to be improbable strings of numbers such as "1234567890" or "1122334455667788" or "666666666666", but it always breaks out of these patterns.
@insomnia20422
@insomnia20422 Год назад
Would have been hilarious if it actually lined up 100% because that would again mean someone tampered with the data lol.
@fortcolors9887
@fortcolors9887 Год назад
@@insomnia20422 wym again
@GReznov
@GReznov Год назад
@@swinde yup, have 1 million monkeys randomly pressing keys on a type-writer for infinity and you get a quote from shakespear at some point
@RCynic75
@RCynic75 11 месяцев назад
​@@GReznovI always thought that the saying referred to the Tale of Two Cities just because of that scene from the Simpsons. "It was the best of times, it was the...blurst of times?? You stupid monkey!"
@rugbychampion1
@rugbychampion1 3 года назад
Guy makes complex statistical analysis look like algebra for beginners
@57thorns
@57thorns 2 года назад
Because it really is.
@jama211
@jama211 2 года назад
@@davidz2690 Twit off ya spoon
@draevonmay7704
@draevonmay7704 2 года назад
@@davidz2690 Damn, I hope you aren't American. Therapy might help with the insecurities, but it's pretty expensive here. I'm glad you've found a coping method in the interrum.
@draevonmay7704
@draevonmay7704 2 года назад
@@davidz2690 Nice! I'm proud of you son
@dylanb2990
@dylanb2990 2 года назад
@@57thorns if it is than it’s not impressive at all that you can do it
@ForensicAnalytics
@ForensicAnalytics 3 года назад
Thanks for mentioning my name and my work starting at 3:56 :) I did an analysis of the Maricopa County election results and got pretty much the same patterns. Here's an interesting tidbit... At 2:00 you talk about the populations of the 3,141 counties and Benford's Law. At 13:25 you talk about the digits in pi, .... and, of, course, the first four digits of pi are 3141 :) You went full circle or 2πr.
@darthcharles8004
@darthcharles8004 3 года назад
WOAH it’s the man himself ...autograph?
@coreyg7364
@coreyg7364 3 года назад
only a mathematician would notice this... nice one, man.
@clockworkkirlia7475
@clockworkkirlia7475 3 года назад
You've clearly done some seriously good maths work but, honestly, those jokes. Call me irrational, but I love it when a tangent turns into a punch-line.
@FirstLast-sy3rj
@FirstLast-sy3rj 3 года назад
@@ElevatedKustoms link?
@brooke1496
@brooke1496 3 года назад
County precinct groups are too uniform. Benford described the nature of numbers on a larger scale, so if you cherry pick a city block, or man-made precinct and chart the the leading digits, it will fail as bad any of the full state chart by county assessments of in the swing states for Biden counts. Or, blue state, Trump counts. The selective adherence to the law is suspect.
@Chaos77777
@Chaos77777 3 года назад
More people need to understand how statistics can mislead you, and how misleading people can make statistics lie to you
@diesel92kj1
@diesel92kj1 3 года назад
@@paperburn Ironically Bill Gates favourite book is on that subject.
@philgallagher1
@philgallagher1 3 года назад
@@diesel92kj1 "92% of all statistics are made up on the spot!"
@snafu2350
@snafu2350 3 года назад
It's a standard government/business/PR tactic: present the statistics' results but never reveal how those statistics were derived. As a simple example look at washing-machine detergent adverts (or any other adverts based on provable results rather than aesthetics): they all claim they're the best, but what is 'the best', & under what conditions? You can also move the goalposts by adjusting the size of the sample: '9 out of 10 cats prefer it' sounds great, until you realise that only 10 cats were used to test the food (& they were prolly preselected from certain specialised parameters anyway) :)
@philgallagher1
@philgallagher1 3 года назад
@@snafu2350 Interesting concept...I didn't know cats used washing machine detergent! LOL (I have to laugh at my own jokes otherwise there would be complete silence. It's a well known fact that 9 out of 10 comedians laugh at their own jokes... Is it just me or is thing going round and round in circles?)
@ishoottheyscore8970
@ishoottheyscore8970 3 года назад
@@snafu2350 It's something I enjoy about UK adverts - they do have some legal requirements about explaining where the result of the survey comes from, sometimes you even see text like "out of 87 people surveyed" when a shampoo is talking about being preferred. Radio ads are even better as you get someone trying to quickly rattle through all the legal disclaimers etc at the end, but they have to do it slow enough that you can still understand them. Still not a perfect system, and you wish the audience were better educated about sampling error etc, but it's nice to still see it
@xcvwarmane5916
@xcvwarmane5916 2 года назад
Compared to Bidens normal distribution, Trumps vote counts are best described by a Poisson distribution, which is a pretty sophistacated roundabout way of saying, that Trump just ain't popular in Chigago.
@CarpetFTW
@CarpetFTW 2 года назад
Lets take a look at crime statistics in Chicago while we are at it. Oh. Oh my.
@alienplatypus7712
@alienplatypus7712 2 года назад
@@CarpetFTW cope lol
@kiiyll
@kiiyll 2 года назад
@@CarpetFTW What's the argument you're trying to make? Cmon, spit it out, don't just dogwhistle.
@isaacbunch6961
@isaacbunch6961 2 года назад
@@kiiyll He's just pointing out the fact that statistically, Chicago has high crime. There wasn't an argument, there was a joke.
@isaacbunch6961
@isaacbunch6961 2 года назад
And if we look at election results from years prior, we'll see a trend emerging. Republicans just ain't popular in Chicago.
@brennanjenks4452
@brennanjenks4452 3 года назад
Thank You for a non biased look at this without going political.
@craigstephenson7676
@craigstephenson7676 3 года назад
@@mangonel One might say facts don’t care about your feelings Also roll tide
@andersledell8643
@andersledell8643 3 года назад
@@mangonel sure doesn't feel that way when you are in a class discussing bayesian statistics...
@TracyA123
@TracyA123 3 года назад
Roll Tide Baby!!!!!
@Naurfae
@Naurfae 3 года назад
@@mangonel I am going to be an annoying pedant here and say that this is technically correct (the best kind of correct), but in reality people collect the data, choose how to analyze it, select the scale on graphs etc. so there is plenty of room for biases to sneak in
@Loj84
@Loj84 2 года назад
@@mangonel stats sure as hell isn't.
@rokevh7800
@rokevh7800 3 года назад
This guy's agenda is nothing political: he's peddling his fantastic book!
@tangyspy
@tangyspy 3 года назад
He's British lol
@NYsummertimeCHI
@NYsummertimeCHI 3 года назад
@@tangyspy *Australian
@rokevh7800
@rokevh7800 3 года назад
@@tangyspy does his nationality affect my statement? I'm making a reference to how he mentions agendas in the video, and how this appears to be a protracted ad for his book 😂
@antonfalu123
@antonfalu123 3 года назад
Sure, that also means that, knowing the initial digits, no one has been able to distinguish it from a normal number. The non-randomness would have to be "further down".
@daltongrowley5280
@daltongrowley5280 3 года назад
Its a good book!
@tmrogers87
@tmrogers87 3 года назад
"The moral of the story is that everyone has their own agenda they want to push on you.......check out my book Humble Pi!"
@benwiarda23
@benwiarda23 3 года назад
Awesome
@deidyomega
@deidyomega 3 года назад
I mean, at least his agenda is clear, and not harmful to the discussion
@melanieb8746
@melanieb8746 3 года назад
That’s why he didn’t do an analysis of Milwaukee.
@Hunpriest
@Hunpriest 3 года назад
@@melanieb8746 Whats up with Milwaukee?
@Hunpriest
@Hunpriest 3 года назад
What's wrong with advertising his own product in his own video? Is it really worse then all the VPN ads?
@justfrankjustdank2538
@justfrankjustdank2538 2 года назад
the only thing i really learned was use a random number gen for filing false tax returns :)
@SilverCraft15987
@SilverCraft15987 3 года назад
I did one statistics and probability course in my third semester of engineering. All I have ever been doing now is watching statistic videos. I hate this subject. But I love it. Help.
@talinite5916
@talinite5916 3 года назад
Lol so true about stats
@ultimategotea
@ultimategotea 3 года назад
Most annoying math to do but the most beautiful math to see
@noname-mw7oy
@noname-mw7oy 3 года назад
Mood
@kingdele01
@kingdele01 3 года назад
You and me both! All my Stats professor ever talked about was gambling!
@dean7301
@dean7301 3 года назад
Same, but biology
@bzboii
@bzboii 3 года назад
Just took a math stat midterm and one of the trick questions hinged on verifying that the data were random! Very relevant to this video.
@anandrai492
@anandrai492 3 года назад
Maybe you should revise, because data being random is only relevant when we’re sampling the population so we can make sure it is close to the population, but in this case of election we are looking at the entire population, meaning every single vote. We don’t sample the votes for the election, we count them.
@bzboii
@bzboii 3 года назад
@@anandrai492 yeah, but if the question is "how well does chicago's districts of roughly 100 to 1000 fit Benford's law" the answer is gonna be "not well". Gotta check your data before you try to fit them to something and draw conclusions. (And the question on the exam was about predicting an election based on a survey and finding a rejection region such that alpha, the chance of a type 1 error, is less than some value bla bla - which only worked in the question if you make sure the survey was random and only then can you apply the CLT and estimate it with a Normal)
@radicalbarrel2729
@radicalbarrel2729 3 года назад
@@bzboii I took stats and got a B
@jtfike
@jtfike 3 года назад
@@bzboii or you can just focus on something else besides the raw count like second order or summation. www.researchgate.net/publication/319526944_Benford's_Law_The_Second-Order_and_Summation_Tests
@dowskivisionmagicaloracle8593
@dowskivisionmagicaloracle8593 3 года назад
Surprisingly educational video for what I thought was going to be mindless political clickbait.
@standupmaths
@standupmaths 3 года назад
I'm going to use this pinned comment to reply to the most-common questions/complaints. It'll be updated infrequently but I am trying to read everyone comments. - WHY DID YOU ANALYSE DATA FROM CHICAGO NOT A SWING STATE? Good question. It is because the first Benford-Biden theory I was sent was based on the Chicago precinct vote totals (there's a link way down in the video description). So I analysed the same data they did. I did not choose the Chicago dataset: people claiming election fraud did. You are very welcome to analyse data from elsewhere and show us your working. - WHY DOES TRUMPS PLOT MATCH BENFORD'S LAW? It does and it doesn't. I was going to say in the video that Trump's plot is also a bad fit for Benford: there are way too many 1s and then fewer digits from 3 up. That spike of 1s is because Trump got an overwhelming number of vote totals between 10 and 19 and so at a glance it looks like a good fit. I cut that bit though as the video was going to be as long as the election. - SOME PEOPLE ARE CRITICAL OF THAT PAPER YOU QUOTED In terms of legitimate criticism, you are probably thinking of Walter Mebane and I have linked to their papers in the video description. But they specifically disagreed with how 'Benford's Law and the Detection of Election Fraud' (2011) treats the 'second digit' check while still agreeing that "It is widely understood that the first digits of precinct vote counts are not useful for trying to diagnose election frauds." - A STRING OF DISJOINT WORDS AND EMOJIS I'm not sure how to constructively engage with that, but I'm glad you watched the video and wanted to get involved with the comments. I thought I did a pretty good job of being all-math-no-politics in the video but appreciate people are very passionate about these things. Other commenters: I encourage you to engage constructively wherever possible and 'down thumb' anything untoward. - IS THAT TRAILBREAKER ON YOUR SHELF? Yes it is. It is exactly what meets the eye.
@adelarscheidt
@adelarscheidt 3 года назад
That was an enlightening video, Matt. Love from Brazil.
@joaogilbertomarques8882
@joaogilbertomarques8882 3 года назад
You made math not boring. Congrats.
@Defenestrationed
@Defenestrationed 3 года назад
@@Robbya10 trump's votes had a less robust distribution than Bidens in Chicago though
@jacefairis1289
@jacefairis1289 3 года назад
@@Robbya10 no lol he just got like no votes in Chicago
@frank75094
@frank75094 3 года назад
I think it would have been more interesting to compare 2020 Biden in Chicago to 2016 Hillary in Chicago than 2020 Biden to 2020 Trump if you are going to use just one city instead of national data. Else, we are comparing apples to oranges. Good explanation otherwise on the precinct size rationale.
@Cheerwine091
@Cheerwine091 2 года назад
I do love how you pointed out the unusualness of the data on both sides, presenting it as strange, then showing how it’s not. If you had just done this for one side or the other, and left the undisclosed one up to viewer interpretation, it would have been biased, and not an “impartial step back”
@WanderingLB
@WanderingLB 3 года назад
Love this. You can tell any story you want with data . Digging in an seeing more than 1 aspect of the data is where you start to be able to call out anomalies and ultimately see a holistic view . Well done !
@PapaWheelie1
@PapaWheelie1 3 года назад
But wait this doesn’t fit my biases
@pitapocketortwo
@pitapocketortwo 3 года назад
It also doesn't fit the facts.
@commie281
@commie281 3 года назад
@@pitapocketortwo buddy, you can’t get more factual than this mathematics youtube channel.
@jamesdunning8650
@jamesdunning8650 3 года назад
In that case reality must be wrong.
@chocolatecrud
@chocolatecrud 3 года назад
@@pitapocketortwo no, he means biases
@commie281
@commie281 3 года назад
@Joshua Jason Karl i do lol and this guy agrees with the other educated sources
@sss29489
@sss29489 3 года назад
Let's check if these data are random! Statistician: I'll use chi squared test. Matt Parker: I'll use it as an excuse to put pi in my video.
@rewrose2838
@rewrose2838 3 года назад
😂
@nelsblair2667
@nelsblair2667 3 года назад
“These data are”, “this datum is”
@sss29489
@sss29489 3 года назад
@@nelsblair2667 thanks, I have corrected.
@vahgarimo9864
@vahgarimo9864 3 года назад
69th like
@tensor131
@tensor131 3 года назад
chi_squared gives you one number to test for significance. Matt's idea (a great one) is to give us a picture of what random data actually looks like. I am very impressed. From mere observation, it looks to have the correct mean and s.d. _ a beautiful illustration.
@ai-dont-care7135
@ai-dont-care7135 3 года назад
nothing like sorting youtube comments by recent to lose your faith in humanity
@millerbroughton8768
@millerbroughton8768 3 года назад
I feel called out
@Puleczech
@Puleczech 3 года назад
One of the most real comments on youtube.
@lavaknight3682
@lavaknight3682 3 года назад
Thankfully, most of them are just “interesting video, thanks!”
@daniels7568
@daniels7568 3 года назад
Would be worse though if those comments were found at the top instead.
@ishoottheyscore8970
@ishoottheyscore8970 3 года назад
It seems to go in spells - you get batches of people who watched and understood, then you get ignorant goons posting sequential word vomit as they get triggered by something being debunked, a few complete morons who beg for the ineffectual law to tested on other states (to prove what exactly has never been revealed...), then some people who would be sued if they tried repeating their baseless claims on TV...
@catboyfriend
@catboyfriend 2 года назад
I just realized that when you're looking at the last two digits of the Trump votes, you're just getting a Benford's Law distribution again! This makes sense (sort of) because of what Matt said about the precinct vote numbers.
@loturzelrestaurant
@loturzelrestaurant 2 года назад
'Some More News'. He makes the best Biden-Roasts.
@alienplatypus7712
@alienplatypus7712 2 года назад
@@loturzelrestaurant Did you even reply to the right comment?
@ImJustCj
@ImJustCj 2 года назад
@@alienplatypus7712 its a bot
@alienplatypus7712
@alienplatypus7712 2 года назад
@@ImJustCj That makes sense, hard to tell bots apart from confused boomers sometimes.
@hirocheeto7795
@hirocheeto7795 2 года назад
@@alienplatypus7712 No boomer would watch "Some More News," but yeah.
@MoggAssassin
@MoggAssassin 3 года назад
Benford's is an acid test, it can be used as an indicator of places to look, it doesn't mean they are not explainable. For forensic accountants alot of the time the evidence is circumstancial and indirect.
@tophan5146
@tophan5146 3 года назад
this
@ub3rfr3nzy94
@ub3rfr3nzy94 3 года назад
Good way of putting it.
@A.Martin
@A.Martin 3 года назад
yea so if you see something unusual it should indicate to investigate, it is not proof in itself.
@leumgui
@leumgui 3 года назад
he literally says this a number of times in the video
@jimhynes3749
@jimhynes3749 3 года назад
The numbers can NOT lie as they are not human.
@Frightning
@Frightning 3 года назад
There's an implicit narrative here that worth making explicit. When it comes to data analytics, the proper question to ask is: why do I have the data that I do? If you simply take your data and analyze it without considering how that data was generated (both collection methodology as well as the phenomenon you wish to understand), you will probably completely misrepresent the actual reality and fail to really understand why you had that data. I suspect this happens *a lot* in practice, especially when companies do data analytics for a myriad of reasons and often have less than stellar data collection methods, let alone failing to consider the real-world process responsible for the data and what, therefore, they should expect to see.
@foundingfathers4462
@foundingfathers4462 3 года назад
Justin, In Chicago's Graph, Trump's Benford curve shows significantly lower 3's and 4's. That looks like Democrats are THROWING away trump votes in the 300 and 400 and 500 count precincts THUS forcing the 1's in Trumps to be abnormally high. Second, for Biden, those Blue Democrats are PADDING (adding illegal votes) in the 100's, 200"s precinct counts and making them into 300's, 400's and 500's and 600's. There are no examples in elections that show standard bell curve except Blue Democratic cities which have decades of high-level corruption outside of vote counts. Those cities are complete ghettos with decades of declining population.
@ThisIsMego
@ThisIsMego 3 года назад
@@foundingfathers4462 You didn't watch the video, did you?
@JacobRy
@JacobRy 3 года назад
@@ThisIsMego nope
@meandmyunclesbrother409
@meandmyunclesbrother409 3 года назад
@@foundingfathers4462 Ghettos with declining populations? Never been to a big city have you now? News flash! Some people hate Trump! In cities with over a couple hundred thousand people, it’s a different world than most red counties. I suggest you go to a big city with your Trump flag and conspiracy theories and see how many times you get cursed out.
@GonzoTehGreat
@GonzoTehGreat 3 года назад
@@ThisIsMego From the ignorant analysis in his comment, I don't think he'd understand the video even if he did watch it. A nice example of the Dunning-Kruger effect.
@PretzelBS
@PretzelBS Год назад
For a while I always thought it was crazy how powers of 2 always seemed to start with a 1 when the number of digits goes up. Thought it was pretty cool that you would get “pseudo powers of two” since the lead digit often went 1,2,4. Then one day I realized that it literally HAS to start with a 1 every single time 🤦‍♂️
@absolutehuman951
@absolutehuman951 Год назад
Yeah, but the fact that 2^10 is so close to a round base ten number 1000 is a nice coincidence, isn't it? The pattern basically starts at 256, 512, 1024, 2048... And then not so nice.
@isavenewspapers8890
@isavenewspapers8890 8 месяцев назад
Oh, I understand now. This means, "The decimal representation of the smallest integer power of two for a given number of digits always starts with a 1." That took me a while.
@bobinator133
@bobinator133 7 месяцев назад
​@@absolutehuman951 4096 and 8192 are fine, but it gets REAL nasty after that
@Byssbod
@Byssbod 2 месяца назад
I'm gonna need this video close at hand this year
@neilbiggs1353
@neilbiggs1353 2 месяца назад
Sadly, I think the game this year is going to be selecting people to be election observers from the Republican party who are going to be making claims in bad faith to distort the process. I wonder if the Democrats should try to invite UN observers in, though I don't know what can cut through the Republican's echo chamber. All the while places like Fox, OANN and NewsMax are seeding disinformation, a number of the voters aren't going to listen. With 2020, all the claims were easily debunked and coming from dubious places. I hope I'm wrong, but this year my bet would be there are going to be lots of supposed issues reported in count rooms etc - and lots more waste for the American taxpayer...
@guillermoelnino
@guillermoelnino 2 месяца назад
@@neilbiggs1353 So claims are only false when y ou r enemy is making them. Actions are only crimes when y ou r political enemy is committing (or even just being accused of committing) them. Beliefs are false if y ou r political enemy believes them. And people are not victims unless they agree with y ou r ideology. Do y ou know what a cu lt is?
@neilbiggs1353
@neilbiggs1353 2 месяца назад
@@guillermoelnino I know what a cult is - it's when a group of people buy in to everything a pedagogue says without critical analysis. You know, like when they keep trying to claim an election was stolen when the evidence says otherwise, when the lawyers pushing the claims are being sanctioned, disbarred and convicted, when they are paying massive defamation suits... This isn't difficult if you have any ability to parse information...
@guillermoelnino
@guillermoelnino Месяц назад
@@neilbiggs1353 ok cultist
@neilbiggs1353
@neilbiggs1353 Месяц назад
@@guillermoelnino I love the intersection of ironic or moronic that you represent! Calling people cultists when you are clearly indoctrinated by one of the most incompetent liars in US political history. You'd think the blatant lies that he has been shown to have made in the New York cases would get through, but there are none so blind as people like you that will not see!
@mace1234
@mace1234 3 года назад
2:11 nobody asks “how is benford’s law?” 😔
@Ultiminati
@Ultiminati 3 года назад
:(
@alexpotts6520
@alexpotts6520 3 года назад
Our reporters got an exclusive interview with Benford's Law. It told us it's happy that people have gotten so interested in it over the past week, but asked us all could we please learn the conditions under which it does and doesn't apply?
@susannarita4259
@susannarita4259 3 года назад
+
@JohnDobak
@JohnDobak 3 года назад
12:15 "There was a spike at 82 because one employee was claiming their breakfast on their way to work every day, which they weren't allowed to do. You can only claim breakfast when you're on the road for work purposes." *Employee: commuting is for work purposes.*
@medleyshift1325
@medleyshift1325 3 года назад
Someone needs to start their day at the home office then move to a main location on the company dime. (well $0.82) but you get the idea.
@JohnDobak
@JohnDobak 3 года назад
@@medleyshift1325 That muffin and drink cost more than $.82, the frequency of the .82 is what called attention to it.
@medleyshift1325
@medleyshift1325 3 года назад
@@JohnDobak it's a play on dime sorry for not being more clear.
@mattordiway1955
@mattordiway1955 3 года назад
Damnit I did it. I looked down. Never look down.
@calebanderson1532
@calebanderson1532 3 года назад
Guys stop commenting about wanting to see the comments then we won’t get to see the comments we really would like to
@Ambidexter143
@Ambidexter143 3 года назад
I'm a retired forensic accountant. I'd be happy to explain forensic accounting to anyone who wants to know about it. I should warn you that there's a great deal of statistics involved and attention to detail is mandatory. As a general rule, the only people interested my explanations are other accountants. After a few minutes everyone else discovers that the topic is less fascinating than they thought.
@Artchick1972
@Artchick1972 3 года назад
Do some YT videos ;)
@professormoptop
@professormoptop 3 года назад
I’d be interested. Took accounting in college from a forensic accountant.
@gwentarinokripperinolkjdsf683
@gwentarinokripperinolkjdsf683 3 года назад
Hey man i was wondering what is a good place to study this on my own, this election got me really interested
@Kuroihikage
@Kuroihikage 3 года назад
I'm starting out in data and I would frankly love to chat about forensic accounting! I've done some reconciliation and QA and analysis, but none of it really involves intense stats and I'd like to do more than just make pivot tables in excel haha
@domncyt
@domncyt 3 года назад
Hey man, I'm actually interested in forensic accounting
@jeromesnail
@jeromesnail 3 года назад
I saw a documentary on netflix about Benford's law. I was screaming at my screen when they kept on claiming it was kinda "magical" and no one knew how and why it worked.
@nmarbletoe8210
@nmarbletoe8210 3 года назад
lol but I guess it's true in a philosophical sense nobody knows why 1+1=2
@cfor8129
@cfor8129 3 года назад
@@nmarbletoe8210 maths is a game and those are what the rules say, so. The astonishing thing is the ways in which we can use maths to interpret the world
@aaaaa8489
@aaaaa8489 3 года назад
@@nmarbletoe8210 well, it's an axiomatic truth, the tools to prove it with logic aren't hard, just redundant
@underslash898
@underslash898 3 года назад
@@nmarbletoe8210 tachyos.org/godel/1+1=2.html this is literally the formal proof for why 1+1=2
@kazedcat
@kazedcat 3 года назад
N Marbletoe There is actually a mathematical explanation on why 1+1=2. But you need to go deep and use set theory for an explanation. 1+1=2 is a mathematical statement that can be proven. Even the existence of zero is actually proven under ZFC.
@Gaston-Melchiori
@Gaston-Melchiori 3 года назад
Its sounds crazy to me that one person can go to a café for months and always pay the same amount down to the cents... Here we have an inflation of 3% for month...
@midge_gender_solek3314
@midge_gender_solek3314 3 года назад
In my country PS5 costs twice as much as PS4 did back in the day, so now it equals to a monthly wage, haha
@Gaston-Melchiori
@Gaston-Melchiori 3 года назад
@@midge_gender_solek3314 uff that sound rough buddy. I live in Argentina, here we have a 30% tax over the dolar (imposed last year), the PS5 is buyed in dollars so we have to pay (after all the other taxes) arround 70% more that the original price. So here its like 320.000 pesos, and the average salary (per month) its 32.000 so we need arround 10... Its not a competition, this is awfull i am just complaining... Meanwile the vice president (Cristina Fernandez) gains 1 millon pesos per month...
@alvaronavarro4895
@alvaronavarro4895 3 года назад
@@Gaston-Melchiori Tengo un amigo Argentino, y te lo puedo confirmar. Siempre ha querido una Switch desde que salió, pero se tiene que conformar con su amada DS de diez años. Me contó que una Switch allí vale como... 300 000 y algo pesos? No estoy seguro, pero mucho. Y un juego vale como triple de lo que vale en España, que son sesenta euros, un juego triple A, que no es poco.
@Gaston-Melchiori
@Gaston-Melchiori 3 года назад
@@alvaronavarro4895 si lo se, yo soy Argentino y (tadavía) vivo en Argentina. No te sabría decir cuanto sale nada la verdad, en mi trabajo todas las semanas llegan aumentos de 5% y 10% de los proveedores, porque no basta con la inflación infernal, tambien hay que soportar a los empresarios que especulan y por si acaso te arrancan la cabeza con los precios.
@mateonoguera4236
@mateonoguera4236 3 года назад
@@Gaston-Melchiori yo tambien soy argentino pero vivo en Washington DC. Muy interesante encontrar otros argentinos en los videos de numberphile!! Entiendo el dolor de vivir en argentina en estos momentos, esta toda mi familia en cordoba. Ojala algo cambie pero mas probable que no. Mejor todavia seria poder traerlos a usa pero ya sabemos como es.
@SteveRichfield
@SteveRichfield 3 года назад
My own favorite distribution for confirming human behavior is the Zipf distribution, which is what Google used to compute their guesstimated number of "hits" in their searches. Zipf has an advantage over Benford's law in that it is much more directly diagnostic to show what is actually happening in the real world.
@NotSomeJustinWithoutAMoustache
I was thinking about Zipf the entire time because of how closely Benford's law's distribution looked like it! Vsauce made a great video on it and Pareto's Law, really makes you think how random randomness actually is.
@henrikoldcorn
@henrikoldcorn 3 года назад
"While I have you here" - I'm still here Matt, trapped. Please, release me.
@ZackScriven
@ZackScriven 3 года назад
😂
@ReachSkyla
@ReachSkyla 3 года назад
The cutest comment I've ever seen
@deltaharris7627
@deltaharris7627 3 года назад
I getting tired of seeing the us election banner ad from RU-vid
@ajmoe
@ajmoe 3 года назад
How do you turn it off?
@kourii
@kourii 3 года назад
Ditto. I wish there was an 'I get it; don't show this anymore' button
@lostintime8651
@lostintime8651 3 года назад
@@ajmoe YOU CAN'T. THEY NEED TO KEEP BRAINWASHING WEAK MINDS.
@elenabob4953
@elenabob4953 3 года назад
I don't see it. Did they stopped doing that or they are doing it now only for US?
@Quintinohthree
@Quintinohthree 3 года назад
@@elenabob4953 I've never seen it, must be US exclusive.
@ghostderazgriz
@ghostderazgriz 2 года назад
Will this video teach people to double check their data and sources prior to spewing nonsense into the internet? I can only dream.
@Middle-Road.Kim.K
@Middle-Road.Kim.K 10 месяцев назад
Omg... I know this is an old vid and this comment will never been seen, BUT.... knowing Benford's law, the title piqued my interest. 🤔 Decided to watch and a Biden 2024 campaign ad preluded Matt's video. If I was a conspiracy theorist I'd have gone nuts!! 😂
@daniel-panek
@daniel-panek 4 месяца назад
I get Biden ads. I get Republican ads. I get ads from religious organizations. I get ads from pseudoscientific products. They should know I don't like most of it and they still do it. At some point, they need to just pick people to show stuff to.
@unreal-the-ethan
@unreal-the-ethan 3 года назад
The one bit about the random data anomaly due to some employee's breakfast made me laugh out loud. Great video.
@Stargazer1312
@Stargazer1312 3 года назад
Trying to rip off an auditing company sounds like a great idea
@gorillaau
@gorillaau 3 года назад
@@Stargazer1312 Sounds like a good challenge for some.
@jaredlong8281
@jaredlong8281 3 года назад
How to make a Matt Parker video: explain an interesting math topic and find a way to throw pi in it
@rocketpig1914
@rocketpig1914 3 года назад
It would be irrational not to
@bumpsy
@bumpsy 3 года назад
funny thing, in the book "Humble Pi", pi only really appears in the title
@JohnDlugosz
@JohnDlugosz 3 года назад
I'm wondering why he didn't use tau instead.
@FHBStudio
@FHBStudio 3 года назад
In videos where it isn't featured, it still is, just as iπ
@YounesLayachi
@YounesLayachi 3 года назад
Gotta make it very clear to tauers he's in the pi camp
@Xelseragoth
@Xelseragoth 3 года назад
My sister got me Humble Pi for Christmas, and I had no idea it was you until I got to the end of this video!
@TabooGroundhog
@TabooGroundhog 3 года назад
Your sister is awesome
@WalkoffGrandslam
@WalkoffGrandslam 3 года назад
Over 7k dislikes.... Certain people mad this didn't agree with their conspiracy theories.
@MumboJumboZXC
@MumboJumboZXC 3 года назад
Except the exact same jump was seen in the Georgia runoff.
@emilycampbell6375
@emilycampbell6375 3 года назад
@@MumboJumboZXC cope
@daveyjones3016
@daveyjones3016 3 года назад
@@MumboJumboZXC Cope harder.
@lol349
@lol349 3 года назад
@@MumboJumboZXC yo can I have some of that copeium
@janegeland7596
@janegeland7596 3 года назад
@@MumboJumboZXC cope harder, snowflake
@meghanchilders2180
@meghanchilders2180 3 года назад
As someone who lives in America, I find this video very interesting! Thank you for creating!
@ThePoshboy1
@ThePoshboy1 3 года назад
As someone who doesn't live in America, I too find this video very interesting!
@cirkleobserver3217
@cirkleobserver3217 3 года назад
This a solid, apparently impartial exploration of the topic. Would be nice if the media had as much respect for its audience as you do yours.
@Maus5000
@Maus5000 3 года назад
@Gideon U Settle down, "free thinker"
@henryptung
@henryptung 3 года назад
> Would be nice if the media had as much respect for its audience as you do yours. Realistically, the general media is not going to go into a topic at the mathematical depth a math-focused RU-vid channel is going to. That's simply because the audiences are different.
@cirkleobserver3217
@cirkleobserver3217 3 года назад
@@henryptung If they're incapable of or otherwise unwilling to address certain topics they should stop speaking as an authority thereof.
@geezerbill
@geezerbill 3 года назад
Unfortunately for the media, "respect for its audience" doesn't really bring in the click-bait revenue like oversimplified sensationalism does.
@KittSpiken
@KittSpiken 3 года назад
@@Maus5000 lol trusts talking heads.
@garrettwilson4754
@garrettwilson4754 Год назад
Matt Parker, giving someone the benefit of the doubt and not saying they're wronger than wrong.
@tegandteginus7767
@tegandteginus7767 3 года назад
I clicked on this video just for the comments
@formerlypie8781
@formerlypie8781 3 года назад
God I did too and I regret it because I cant stop now
@timothyjacksondrake4454
@timothyjacksondrake4454 3 года назад
You should watch the video, its pretty good.
@captainkeller2792
@captainkeller2792 3 года назад
@@timothyjacksondrake4454 yeah it is.
@andrekorenak2417
@andrekorenak2417 3 года назад
As long as people investigate and aim for transparency that's fine by me. No single data point is going to be sufficient.
@hackerman1770
@hackerman1770 3 года назад
Scotus has ruled in favor Benford's Law several times including Enron case and it was way more tame then the 4+ deviations we are seeing in some the big cities in swing states
@Kaoskadosk
@Kaoskadosk 3 года назад
Hacker, you *did* watch this video, right...?
@cozmik_kay
@cozmik_kay 3 года назад
@@Kaoskadosk hope u know Trump's result may have actually been tampered with and that's y I wasn't random anymore... Please do a critical thinking of this, who cheats himself out of an election on a slim chance of winning in court?
@JathTech
@JathTech 3 года назад
@@cozmik_kay i agree, but the examples in the video are bad because no one is contesting Chicago's results.
@Kaoskadosk
@Kaoskadosk 3 года назад
@@lostalone9320 Yeah, except in this case it's regarding election data, which as this video points out, is pretty pointless to apply Benford's law to.
@iammaxhailme
@iammaxhailme 3 года назад
What I've learned from this video: don't have the same breakfast every day
@nicothoe
@nicothoe 3 года назад
And always roll a die when choosing.
@ijemand5672
@ijemand5672 3 года назад
@@nicothoe as a Gamemaster, dice aren't that good at being random either
@silversilk8438
@silversilk8438 3 года назад
@@ijemand5672 Why aren't they random enough?
@katrinabryce
@katrinabryce 3 года назад
What I haven't learned from this video, because I knew it already: Numbers in tax returns and accounts are not random.
@raffaelepiccini3405
@raffaelepiccini3405 3 года назад
@@ijemand5672 dice are very good at being random.. a 6 sided dice has a uniform distribution to all of its faces, it's pretty good at being random unless its loaded
@iPig
@iPig 2 года назад
So what I've learned is that I should use an RNG when doing my taxes. Thanks!
@boostaddict_
@boostaddict_ Год назад
this is the best comment
@BrianHoover
@BrianHoover 2 года назад
Weird that no dates start with 4 or 5
@MateusSFigueiredo
@MateusSFigueiredo 3 года назад
Tom Scott: "you can't trust me" Matt Parker: *writes that down*
@elmajore4818
@elmajore4818 3 года назад
Weird Idea: they "plotted" it xD
@diarykeeper
@diarykeeper 3 года назад
TS: "But you can like me" - Source: Madeup
@Playerdelta08
@Playerdelta08 3 года назад
As an wise accountant once said: "I only trust statistics I made up myself"
@ajinasawor
@ajinasawor 3 года назад
made up or made?
@Playerdelta08
@Playerdelta08 3 года назад
@@ajinasawor "made up" or shuffling your data around until it suits you.
@jugganaut33
@jugganaut33 3 года назад
@@Playerdelta08 an accountants job is just making stuff up.
@hajkie
@hajkie 3 года назад
I trust numbers, but the conclusion of those numbers is something that can differ. Take climate change, 415ppm co2 in the air is 0.04% of the atmosphere. It SOUNDS small, but is it really small? No, it covers perfectly in the holes of water vapor, and is actually quite a huge number relatively. A small number, that has a great impact.
@matthiaso57
@matthiaso57 3 года назад
It wasn't an accountant who said that, but a propaganda minister. A German. Some Joseph Goebbels, look him up or watch Der Untergang. And he said: write in the papers that Winston Churchill said this.
@skylark7921
@skylark7921 Год назад
I was home schooled for high school, and my curriculum was project-based. I didn’t have to take a math class my junior or senior year, but I had been planning a statistics project for if I did do some more math. I thought it would be really interesting to take a set of statistics, probably baseball stats, and then play with the numbers to create different narratives - make it look like one team was cheating, or a ref was being unfair, and then make it look like the opposite. I thought it would be a really great exercise in critical thinking: to get experience with how data can be misrepresented so that when I see those stats in the real world I can more easily understand how it could have been presented to change the narrative. It’s really a shame I never had the time for that project
@IstasPumaNevada
@IstasPumaNevada Год назад
You could do it now. It'd be fun. :)
@Calyaer
@Calyaer 11 месяцев назад
Apologies for the necropost but I just wanted to say that the idea of a project-based curriculum sounds SO much better and more engaging (at least for me, lol) than the current most common school system.
@fatshibaballs
@fatshibaballs 3 года назад
Most areas were also heavily divided. You had either lots of small areas where trump would win (which would explain why he follows the law) and Biden won in just about every large metropolitan area with you guessed it, large precincts. Interesting video.
@LastStar007
@LastStar007 2 года назад
Did a double take when your comment said Trump "follows the law".
@jypsridic
@jypsridic 2 года назад
@@LastStar007 Trump does follow the law. Biden is the one who flouts the constitution on a daily basis
@hdjsksoxckjrejwkdld
@hdjsksoxckjrejwkdld 2 года назад
@@jypsridic Did you ever take a second to enjoy a joke before you took it seriously?
@jypsridic
@jypsridic 2 года назад
@@hdjsksoxckjrejwkdld Do you know what the word joke even means?
@zagreus5773
@zagreus5773 2 года назад
@Jyps Ridic Look into the mirror and you know what it means.
@teaser6089
@teaser6089 3 года назад
Lessons learned from this video: Use Benford's law to detect weird data results and then research why the results are the way they are to find out if anything is wrong. Context people, context matters
@jypsridic
@jypsridic 3 года назад
Lefties don't want answers, they just want you to accept the results when they favor the regressive left and ignore all discrepencies
@lpcruz5661
@lpcruz5661 3 года назад
Agreed. Statistical models are not definitive last court of appeals. It is as you said, research why they are that way and this Law is still a good rule of thumb. What is good for the gander should be good for the goose, my question in this presentation is but why would Trump's numbers follow Benford's all things being equal it should behave like Biden's too.
@danielpickrell8311
@danielpickrell8311 3 года назад
BLM= Benfords Law Matters too
@LoveJoyPeace4612
@LoveJoyPeace4612 3 года назад
@@lpcruz5661 this question is literally answered in the video. Watch the video before commenting. Otherwise, you come across as simply willfully ignorant for asking questions that have already been addressed.
@lpcruz5661
@lpcruz5661 3 года назад
@@LoveJoyPeace4612 I have indeed watched it till the end. I believe my comment is fair. He explains why Biden' does not. Then you can explain to me why Trump follows Benford's? Did he include p-values? He quoted a 2011 paper, well there are recent researches on Benford Law, see this journals.plos.org/plosone/article?id=10.1371/journal.pone.0151235
@jeffreym68
@jeffreym68 3 года назад
As a retired stats prof (hopefully not Dannycode's), I wanted to thank you for clearly explaining your process and the underlying theories. I'm always (yes, still) looking for interesting examples of phenomena. to use.
@fomori2
@fomori2 3 года назад
As a retired Professor, what did you think of the the presenter in this video using the second digit distribution to justify the Benford result in question for Biden, but then using the Benford result for to justify the second digit distribution in question for Trump.
@nicedubs8163
@nicedubs8163 3 года назад
@@fomori2 most underrated comment so far. I'm an accountant, and elections are perfect use for it. I use it as a litmus test for finding irregularities in bulk data.
@JamesWolfpacker
@JamesWolfpacker 3 года назад
Here’s proper use of Benford’s Law for elections. ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-1ald3w9FBmA.html
@reconnell854
@reconnell854 2 года назад
@@fomori2 what?
@spencerlively3049
@spencerlively3049 2 года назад
@@JamesWolfpacker Did you learn nothing? Stop spreading misleading information as if you're not literally commenting on a video debunking the snake oil you're selling. Shoo now.
@terry8283
@terry8283 Год назад
You've done a great job here ... and it's really intriguing. Too bad most of the people who need to understand this will not bother.
@parkergoodson3428
@parkergoodson3428 Год назад
Yeah it’s sad
@Crypt1cmyst1c
@Crypt1cmyst1c 2 года назад
as soon as you brought up the "trump tower" graph i knew what was going on and laughed out loud. "it's because he didn't get above 2 digits in most precincts! he got 30/40/50's in most places!"
@L4Vo5
@L4Vo5 3 года назад
Benford's law gets real spicy in binary!
@bluerizlagirl
@bluerizlagirl 3 года назад
Indeed. Hence the assumption baked into binary floating-point numbers, that the first bit of the mantissa is always 1 (or else you have 0, which is indicated by a special exponent value); so you get a free space for the sign, since you do not need to store this first bit.
@kalebbruwer
@kalebbruwer 3 года назад
Yeah, since every number except 0 starts with a 1. But It could actually still be useful if you look at the 2nd and 3rd digits
@bluerizlagirl
@bluerizlagirl 3 года назад
@@kalebbruwer In floating point, you have to throw away one possible value for the exponent, because you can't represent zero otherwise. But you can use this special exponent to indicate other things than zero, such as short integers or more than one kind of "not a number".
@kalebbruwer
@kalebbruwer 3 года назад
@@bluerizlagirl In floating point, the sign and exponent are stored before the mantissa. I was talking about integers where you throw away leading zeroes. I know that's not a thing with computers, but I wasn't talking about computers.
@bluerizlagirl
@bluerizlagirl 3 года назад
@@kalebbruwer Floating point is basically the same principle as resistor colour codes. And even "zero ohm" links (in a resistor-like package, for machine handling) have a special marking with one black band.
@KarmasAB123
@KarmasAB123 3 года назад
"You only get Benford's Law in SOME situations." So it's Benford's poorly enforced law?
@Speederzzz
@Speederzzz 3 года назад
Benford's understaffed police station
@Incomudro1963
@Incomudro1963 3 года назад
Benford's suggestion.
@mickcoram3579
@mickcoram3579 3 года назад
Lets build a wall around it
@bananya6020
@bananya6020 3 года назад
benford's US police force
@barryon8706
@barryon8706 3 года назад
In Minnesota they'd defunded enforcement of statistical laws, and now there are outliers running wild.
@slendason1879
@slendason1879 6 месяцев назад
I applaud you for making a video about politics... about maths.
@Naurfae
@Naurfae 3 года назад
Uff, just looking at the downvotes I get the impression that some people really don't like math
@snowballeffect7812
@snowballeffect7812 2 года назад
some people don't like critical thinking or education at all, unfortunately.
@meghanchilders2180
@meghanchilders2180 3 года назад
Lol "problematic at best" is going to be my new motto
@delphicdescant
@delphicdescant 3 года назад
It's the subtitle of my life.
@knifeyonline
@knifeyonline 3 года назад
@@delphicdescant i'm getting it printed on a tshirt
@vigilantcosmicpenguin8721
@vigilantcosmicpenguin8721 3 года назад
Tinder bio
@MrRetluocc
@MrRetluocc 3 года назад
If you want an official motto for a family crest: "Difficilis ad Optimus"
@rocketpig1914
@rocketpig1914 3 года назад
Sadly though even those words now have become politicised
@crewnail1763
@crewnail1763 3 года назад
Regardless of this data, the one's who don't want to verify and look into anomalies have something to hide.
@garsm2290
@garsm2290 3 года назад
You are referring to Trump's tax returns?
@nlsantiesteban
@nlsantiesteban 3 года назад
Right! Which is why I don't trust these "scientists" with their round earth theories. They're tired of me asking them to verify the data according to my needs, say it's a waste of money. I know they're got something to hide.
@NeverSuspects
@NeverSuspects 3 года назад
@@garsm2290 The IRS does that automatically, even more so for those with large finances. The fact that Trump was never charged EVER means his tax history and payments were all lawful. Despite it not being public what anyone owes or has paid in taxes, the IRS and the government does and concerning Trump's business of property and building development much of is in New York, you can't simply not report and you can't just tell the city your building doesn't exist so you don't have to pay that years property tax. I guess a bunch of naive college kids who own nothing and assume mostly everything about much of what they think is true wouldn't really understand this yet or bother to think it out.
@satanspilz
@satanspilz 3 года назад
@@nlsantiesteban Noel, come on. Your claims of the earth not being round is hardly comparable to either holding or not holding the most powerful office in the world for the next four years.
@DynamicDandalf
@DynamicDandalf 3 года назад
@@nlsantiesteban you mean the round earth that was investigated and debunked by people asking questions and then getting people to prove it?
@martynawasiluk1405
@martynawasiluk1405 3 года назад
THANK YOU for putting the "twist" in the first minute to prevent misinformation for ppl who skim (as I sometimes do). Thank you.
@csakponou
@csakponou 3 года назад
I had no idea about any of this. Thank you, for explaining everything so well.
@Starguy256
@Starguy256 3 года назад
Thank you for actually explaining the answer to a question a lot of people have. Much more useful than the little warnings social media companies have that "Election fraud is rare according to the AP" or whatever.
@fromdarktolight6353
@fromdarktolight6353 3 года назад
Big tech thinks you are too stupid to handle it
@antiantiderivative
@antiantiderivative 3 года назад
@@fromdarktolight6353 TBH most Trump supporters are too stupid to learn anything
@abcd-nn1ir
@abcd-nn1ir 3 года назад
Shut up
@alexkaplan6581
@alexkaplan6581 3 года назад
"Here's a rubber stamp from our political donors, don't ask questions please."
@ivantrotlinsky6543
@ivantrotlinsky6543 3 года назад
@@antiantiderivative Ah yes, you’re one of those “open-minded” and “tolerant” lefties.
@kalpitprabhat5034
@kalpitprabhat5034 3 года назад
13:20 Matt: i decided to compare it to the first 2069 digits Me: there must be a spike at 69 in random numbers chosen by people
@DavidGuild
@DavidGuild 3 года назад
...or it's the same as the number of precincts in the Chicago data set.
@arfyness
@arfyness 3 года назад
@@DavidGuild For this case it is. But removing one case from the set doesn't invalidate Kalpit's hypothesis. I'd be surprised if there's NOT a spike there in human chosen numbers. I'd expect to see a few others in there as well.
@liviousgameplay1755
@liviousgameplay1755 3 года назад
​@@arfyness Might you know any places where I can find an accurate survey of random numbers? I think analyzing it might be fun before I see what others have to say about it.
@LJCyrus1
@LJCyrus1 3 года назад
@@DavidGuild Or Chicago chose to have 2069 districts because it ends in 69.
@murmurmerman
@murmurmerman 3 года назад
@@DavidGuild They could have had 2070 precincts instead. But nooooooo, they had to pick a prime number...
@Pablo360able
@Pablo360able 2 года назад
What I’m taking away from this video is that if you want to fake a five-digit number, just change the third digit and nobody will catch you.
@elitecrow1803
@elitecrow1803 2 года назад
Very well
@MrGreeneyes77
@MrGreeneyes77 Год назад
I'll admit it, I came here as a skeptic....but you convinced me. Well done video.
@GeatMasta
@GeatMasta Год назад
So did i; it makes me reflect on how much of a better place we’d be in if everyone took the other side’s concerns seriously and addressed them instead of trying to discredit them.
@MasterArrow
@MasterArrow 3 года назад
I have a lot of respect for the fact that you didn't just stop at "the trump one looks suspicious!" and actually explained why both claims are faulty. That kind of honesty, regardless of where you stand politically, is something we need WAY more of in today's world.
@PayNoTax-GetNoVote
@PayNoTax-GetNoVote 3 года назад
I think that's what Trump is looking for. A validation of EVERY SINGLE LEGALLY cast vote. The only thing I will believe is if they contact every voter to verify their votes.
@iMasterchris
@iMasterchris 3 года назад
@@PayNoTax-GetNoVote while that would be great, wouldn’t you say that’s impractical? Should we do that for people who voted in 2016? What if people change their answers over the phone because some guy is haranguingthem? What if people, knowing that race was so close, change their initial vote? Jesus, get real. He lost, hopefully the investigations complete and assure everyone that, yes, that’s true. Assuming he didn’t lose without evidence is conspiracy thinking
@dizzyonaball4623
@dizzyonaball4623 3 года назад
@@iMasterchris Also, the way some people are talking now, if some random 'phones my house and asks about my voting, I'd put the phone down and draw the curtains
@TheDanielRagsdale
@TheDanielRagsdale 3 года назад
For anyone who is still wondering why Benford’s law holds, think about plotting data on a Log scale instead of a linear scale. On a log scale 30% of the horizontal space is taken up by values that start with one, 17% by twos, and so on. It turns out that in the real world data is often random with an exponential distribution and not a linear distribution, so the data looks evenly distributed on a log scale, not a traditional straight scale. Hence Benford’s law.
@EnteiFire4
@EnteiFire4 3 года назад
Steve Mould explanation is pretty clear. To go from 10 to 20, you need to multiply by 2. 20 to 30, it's 1.5, 80 to 90, 1.125. You need more momentum to go from a number that starts with 1 to a number that starts with 2, than from 8 to 9.
@Malendor
@Malendor 3 года назад
Great explanation
@kilimanjarocruz660
@kilimanjarocruz660 3 года назад
The first part of your comment (the analogy with the log scale) is correct and very interesting. But the conclusion about "exponential" and linear distributions is incorrect. In fact, Benford's law applies to uniform distributions (over many orders of magnitude, as Matt mentioned).
@bruhmoment1835
@bruhmoment1835 3 года назад
@@kilimanjarocruz660 and which mathematical operation converts magnitude differences to additive differences?
@grumpycat6429
@grumpycat6429 3 года назад
How can I use it to defeat Batman?
@KaiCalimatinus
@KaiCalimatinus 3 года назад
So, in data of inconsistent magnitudes, Benford's law may be useful. In data of similar magnitudes, the randomness of the last two digits may be more useful. Very interesting
@TheCommono
@TheCommono 3 года назад
Get a grip... 14:42
@cyber33l
@cyber33l 3 года назад
@@TheCommono Notice they said may, not is. Like in many of the tax based examples, using that check led to investigating an oddity with an easily discovered explanation. This shows that the method of checking the last two is more useful for similar magnitude numbers, which is a fairly obvious conclusion given the way the math works. In the predictable setting of Trump votes in Chicago (When we know that large cities trend blue), this kind of result should be a given. For unknown outcomes however, This method would be very useful for noticing unexpected oddities, and that is the point.
@TheCommono
@TheCommono 3 года назад
@@cyber33l I do not understand, why "more" - ?
@DJ-ov2it
@DJ-ov2it 23 дня назад
Tip: Just dont sort the comments by new. Youre welcome.
@sheshells_
@sheshells_ 22 дня назад
I didn't listen and I only have myself to blame, I'm disappointed in myself
@neilbiggs1353
@neilbiggs1353 22 дня назад
I do, just to see if the idiots are still deluded so many years later! Sometimes you find someone interesting and worth interacting with, the rest of the time you just mock them and thank them for providing engagement for a quality video!
@MasqueradeCrew
@MasqueradeCrew 3 года назад
What I learned: Trump is not popular AT ALL in Chicago.
@jasmeetxxx9
@jasmeetxxx9 3 года назад
this is the perfect comment, it's funny if u don't get the maths and it's funny if u do too.
@DHMenke
@DHMenke 3 года назад
How popular is Lori Lightfoot?
@alanbrad4564
@alanbrad4564 3 года назад
@name name why don't you do it, then?
@Psychlist1972
@Psychlist1972 3 года назад
Also important to know: voting districts here are almost all gerrymandered, which means they are created in a shape designed to maximize the chance of a win by the party that created the districts. That will provide some weird spikes.
@revparravager3184
@revparravager3184 3 года назад
like that handful of probably rather small republican "enclaves" in the richer (and whiter) neighborhoods which every city will have.
@GrumpyGrebo
@GrumpyGrebo 3 года назад
@@revparravager3184 Over 80% of districts in US are Republican. More affluent neighborhoods tend to be Democrat. 70% of the Democrat total vote comes from affluent regions. It's not immediately obvious where these "enclaves" you describe, are.
@DrBrangar
@DrBrangar 3 года назад
This is talking about voting *precincts*, which aren't gerymander-able. All the precinct borders decide is what polling location you are intended to go to. The only way they can structurally affect votes is overcrowding them and causing long lines.
@revparravager3184
@revparravager3184 3 года назад
@@GrumpyGrebo oh riiiiight. I fergot. All those "rich people" in "affluent regions" which just make up sooooo much of Chicago, New York, Boston, Detroit. No. The "reddest" regions in the country if you were to "zoom in" would be the rich, uptight neighborhoods (which exist in every city). Just visit Carnegie Hill, Tribeca or Battery Park in NYC sometime. I assure you the residents there are NOT democrats to such a high degree. As to the rest of Republicans in the country its no small shock they tend to be centered in suburban towns and rural areas where you dont get alot of "diversity" in your communities and where churches outnumber schools. Thats the first clue. If you got 1 Grade School, 1 Middle School, 1 High School and yet you got 7+ Protestant churches? Thats NOT a good sign to indicate a very Progressive Community. You might ask why I focused on Protestant Churches and thats because at least the Roman Catholics (typically anyway) have had centuries of learning to fricken ignore their priests except on Sunday to care that much about being told what to do by them (at least for the rank and file). I say even though obviously there exists some small segment of Catholicism which is fanatical as any Pentecostals, Evangelists or Adventists. They just happen to exist in far less ample supply.
@revparravager3184
@revparravager3184 3 года назад
@@DrBrangar hence why precincts are a far more reliable indicator of just how Progressive or Conservative a neighborhood is expected to be since its not like someone is likely going to go somewhere else to cast their ballot other than their neighborhood location since it doesnt alter the result. If you plan to move into a neighborhood but find by investigating it has a history with 90% history of Conservative leaning then expect ALOT of MAGAs living in the general vicinity.
@fahrenheit2101
@fahrenheit2101 2 года назад
If you think the comments are all civilised, filter by newest first and look again.
@Bibibosh
@Bibibosh 2 года назад
Hi
@Thrifty032781
@Thrifty032781 2 года назад
I did that, in February 2022, and for a video about a president, they're still pretty civil.
@haleyw5677
@haleyw5677 2 года назад
I love what you did with the trump data to show how easy it is for something to look suspicious without more context and why you need to listen to people who know about data rather than just trying to draw your own uninformed conclusions. Love the video!
@mr.j5919
@mr.j5919 Год назад
Where have you been? The only non-biased people we have left, in this field, disagree with this guy 100%
@sissyphus2926
@sissyphus2926 Год назад
​@@mr.j5919 who are those people?
@ethanlarge3572
@ethanlarge3572 Год назад
@@mr.j5919 Please name one person. Literally one math expert who 100% disagrees with this guy.
@user-dh7sm9zh9e
@user-dh7sm9zh9e Год назад
@@mr.j5919 Name one and give us a source
@NotSomeJustinWithoutAMoustache
@@mr.j5919 Where have you been?
@toomuchespresso13
@toomuchespresso13 3 года назад
I'm just glad to have made it into one of Matt's videos. I'm one of the data points on the chart!
@standupmaths
@standupmaths 3 года назад
Glad you could spot yourself as a datapoint. Like a bar-chart version of Where's Waldo?.
@vigilantcosmicpenguin8721
@vigilantcosmicpenguin8721 3 года назад
If I zoom in really close I think I can see you.
@Codricmon
@Codricmon 3 года назад
“Hey, I can see my vote from up here!“
@JimCullen
@JimCullen 3 года назад
@@standupmaths Who the eff is Waldo?
@gabrielpeterson2079
@gabrielpeterson2079 3 года назад
@@standupmaths Sad that only people from Chicago can feel the love here, though I kind of understand why other cities and counties are out of the question.
@numbers93
@numbers93 3 года назад
Welcome to the world of statistics, where all data is nuanced and the conclusions derived thereof can be so varied that there's always something for everyone to take hold of and run away with.
@highpath4776
@highpath4776 3 года назад
Lets assume the votes are correct, but how they reflect into the college voting system is a bit off.
@hannoverfist5628
@hannoverfist5628 3 года назад
Nailed it...
@googleuser9383
@googleuser9383 3 года назад
Not really. Statistics is just one piece of the puzzle. Look at all the other foul pieces and you have your truth.
@Jimraynor45
@Jimraynor45 3 года назад
There are lies, damned lies and then there are covid19 statistics.
@saccaed
@saccaed 3 года назад
So much this. I have grown to hate having to tell anyone with near any opinion based off statistical analysis that has no idea how to interpret the conclusions that they would do better to shut their mouth before they embarrass themselves further. An idiot can push a conclusion based off some statistical analysis they ran and it could take a small team of PHDs to work out why their analysis is flawed or inconclusive...
@danielhale1
@danielhale1 2 года назад
If we collected data on abuses of Benford's Law, would that distribution follow Benford's Law?
@kckcmctcrc
@kckcmctcrc 4 месяца назад
Note to self… look to π when doing my taxes.
@TheOfficialCzex
@TheOfficialCzex 3 года назад
I like how the "Trump Tower" encroaches on Pi's distribution.
@letao12
@letao12 3 года назад
Trump needs to get a slice of pi
@carlosgaspar8447
@carlosgaspar8447 3 года назад
the trump tower distribution was very much MP.
3 года назад
pi pi ??/
@NStripleseven
@NStripleseven 3 года назад
Heh
@Hi_Brien
@Hi_Brien 3 года назад
Pi is humble, what can I say
@alexpotts6520
@alexpotts6520 3 года назад
Let's be honest: most people invoking Benford's Law don't understand Benford's Law. They are using it because it is an argument that supports what they want to believe (ie confirmation bias), even if the argument itself is flawed. People do this all the time, including you if you are reading this comment. Very easy to spot when someone you disagree with does it, very hard to notice yourself doing it. We should all be a little bit more mentally disciplined about this kind of thing.
@jamescarney6894
@jamescarney6894 3 года назад
What are your thoughts on this? Chicago .....hmmmm! Democrat-run city, in a Democrat-run State, with election workers appointed by Democrat management....hmmmm. Oh, and isn't that one of the cities where Republican scrutineers were banned from being close enough to monitor the counting process, on Dominion vote counter machines (owned by Dianne Feinstein's husband's company) running Hammer and Score-card software controlled by the Democrat Deep State. Hmmmm, I think that might explain the graphical distortions in not following Benford's Law and the lop sided random distribution of POTUS Trump's vote count across the Chicago precincts. Just say'n, that is probably a statistically significant reason to commence a complete audit of the Illinois voting process. Not to mention the rest of the country.
@alexpotts6520
@alexpotts6520 3 года назад
@@jamescarney6894 My thoughts are that this is exactly what I was talking about. You don't want to believe that Donald Trump lost the election, so you bend over backwards trying to prove that 2+2=5. The only way you could believe in this insane conspiracy theory is motivated reasoning.
@aiacfrosti1772
@aiacfrosti1772 2 года назад
i disagree
@natesep1179
@natesep1179 2 года назад
but tbh joe is yo mama and if you know that, then that means i wouldn't have too say joe for you to even relate it too "joe", yo mama.
@jamescarney6894
@jamescarney6894 2 года назад
@darknightoftroy "2000 Mules", I guess you are one of them.
@marc21256
@marc21256 6 месяцев назад
tl;dr: Violations of Benford's law are an interesting starting point for audits, not a proof of malfeasance or errors.
@neilbiggs1353
@neilbiggs1353 6 месяцев назад
The TL;DR is violations of Benford's law are meaningless when it comes to elections, so are not a starting point for investigations, even though there are data sets/industries like finance where it can be a reasonable trigger.
@dalalalalaallah8957
@dalalalalaallah8957 14 дней назад
3.5 years on and America has never been more hilarious
@DannyCodePlays
@DannyCodePlays 3 года назад
If my stats classes were this interesting, I wouldn't have hated stats. ;)
@COPESLANDmovemaKER
@COPESLANDmovemaKER 3 года назад
If this comment wasn’t so stale, it wouldn’t be stale.
@DannyCodePlays
@DannyCodePlays 3 года назад
@Mr. Natural Completely agree! But if my Technical Communications minor taught me anything, you should capture your audience from the start. Plus, this particular video isn't presenting anything that a layperson couldn't readily understand. It would be a nice intro to a stats class, IMHO.
@DannyCodePlays
@DannyCodePlays 3 года назад
@Mr. Natural I think we are just going to have to agree to agree, sir. :)
@holycrapthatsalotofketchup253
@holycrapthatsalotofketchup253 3 года назад
the derivitives and anti derivitives of "ln" and stuff... ik what you mean, i got a 1 in my ap stats test :(
@rhdtv2002
@rhdtv2002 3 года назад
My son has a Master Degree in Stats
@coryman125
@coryman125 3 года назад
I love how objectively this video is made. No jumping to conclusions, no accusations, no unfounded claims, just mathematics :) and the fact you didn't just answer the question, but started digging deeper into things like the so-called Trump Tower, it really shows why you make such a good teacher!
@bluebaconjake405
@bluebaconjake405 3 года назад
If only other people think objectively like this
@roycebutler8590
@roycebutler8590 3 года назад
@Johnny Five check Maricopa county, that one has the same problem
@csarmii
@csarmii 3 года назад
@Johnny Five well you can do it yourself, it's really simple, download the data, put it into excel and take a look at it.
@leongkinwai9709
@leongkinwai9709 3 года назад
@@roycebutler8590 Is it possible the precinct populations there are equally as clumped into an order of magnitude as Chicago's is?
@roycebutler8590
@roycebutler8590 3 года назад
@@leongkinwai9709 I'd be shocked, it's a very red county, and it still wouldn't make sense because that's not really how benfords law works
@Orincaby
@Orincaby 2 года назад
anyone: *mentions US politics* Americans: *w r o n g*
@parkergoodson3428
@parkergoodson3428 2 года назад
Lol
@rogersledz6793
@rogersledz6793 3 года назад
Thank you so much for uploading this video. It is helping me to get through the pandemic!
Далее
Number 1 and Benford's Law - Numberphile
9:14
Просмотров 968 тыс.
Why do people keep getting this wrong‽
12:49
Просмотров 1,8 млн
What was the first (known) maths mistake?
14:09
Просмотров 818 тыс.
Are There Any 3-Landlocked Countries?
18:07
Просмотров 518 тыс.
Simulating alternate voting systems
14:03
Просмотров 4 млн
Chicago has a problem until the year 2083.
20:52
Просмотров 577 тыс.
сколько мне лет
0:59
Просмотров 7 млн