When Numbers Lie

  Рет қаралды 110,181

Frame of Essence

Frame of Essence

10 жыл бұрын

Facebook: / frameofessence
Twitter: / frameofessence
KZfaq: / frameofessence
Sources:
Causality: Models, Reasoning, and Inference
books.google.ca/books/about/Ca...
Internet Project
wps.aw.com/wps/media/objects/1...
Visualizing Urban Data ideaLab
vudlab.com/simpsons/
Can Quantum correlations be Explained Casually
pirsa.org/13070030
Images:
Casimir Effect
commons.wikimedia.org/wiki/Fil...
Cosmic Microwave Background
commons.wikimedia.org/wiki/Fil...
Atmospheric Carbon Dioxide
commons.wikimedia.org/wiki/Fil...
Music in this video (from the KZfaq Audio Library):
Fortaleza
Good Starts
Zydeco Piano Party

Пікірлер: 197
@emanonmax
@emanonmax 8 жыл бұрын
So numbers don't lie. But we can misunderstand them
@jonathanquarles3708
@jonathanquarles3708 8 жыл бұрын
Maybe the title should have been when numbers seem to lie.
@Starfire0914
@Starfire0914 3 жыл бұрын
I’m over here, like, clearly the problem is the placebo. Take that irrelevant variable out!
@cate01a
@cate01a 2 жыл бұрын
maybe the fucking title should be "when I lie for clickbait because I'm that much a fuckwit"
@PicotryOfficial
@PicotryOfficial 8 жыл бұрын
"There are three kinds of lies: lies, damned lies, and statistics." - Benjamin Disraeli
@Electroblud
@Electroblud 8 жыл бұрын
+Picotry Nice, I like that quote :)
@seanld444
@seanld444 6 жыл бұрын
Just found your channel today (December 12th, 2017), and I'm binge-watching. You're videos are exactly the kind I like. Intellectual and informative about topics I enjoy. Thanks for your videos! You're one of my new favorite KZfaqrs.
@jesswma
@jesswma 9 жыл бұрын
I really enjoy your videos. Please keep making them, I'm sure your fan base will grow a lot in the next little while.
@frameofessence
@frameofessence 9 жыл бұрын
Thank you! :)
@LarlemMagic
@LarlemMagic 8 жыл бұрын
So, don't hate me, but doesn't simpson's paradox apply to the wage gap?
@NScott45
@NScott45 8 жыл бұрын
+LarlemMagic absolutely
@MurasakiBunny
@MurasakiBunny 8 жыл бұрын
+LarlemMagic *ding* *ding* *ding* We have our winner :D
@nefaristo
@nefaristo 8 жыл бұрын
+LarlemMagic of course, it's just that debunking what's probably the biggest hoax in today's western world in order to show an example could be quite distracting :-)
@fahadAKAme
@fahadAKAme 8 жыл бұрын
+Scapegoat how does that apply exactly?
@RoflZack
@RoflZack 8 жыл бұрын
+fahadAKAme Departments with higher acceptance rates are like higher overall paying jobs. I'm not saying anything about weather or not the wage gap exists, but if you were studying it you would ABSOLUTELY need to account for Simpson's paradox. It would destroy your data. If all women were payed $1 for every dollar men made in each field, but more men were in higher paying fields of work, then your overall data could show men making more. Don't hate me though. I'm not saying the wage gap doesn't exist, just that any study investigating it would need to account for the paradox.
@Borednesss
@Borednesss 8 жыл бұрын
...I have three rocks
@sasisarath8675
@sasisarath8675 3 жыл бұрын
Do u
@TimothyChapman
@TimothyChapman 7 жыл бұрын
3:11 "(hopefully...)" - That is not good enough for me. 4:26 Great example. And I think that this type of paradox is far more common than what we've been led to believe (accidentally or otherwise).
@cate01a
@cate01a 2 жыл бұрын
paradox? you mean mistake/human error?
@1theo0
@1theo0 9 жыл бұрын
I'm so glad I discovered your channel! Thank you for making these videos, the animations explain well and I've learnt new and interesting things. :)
@frameofessence
@frameofessence 9 жыл бұрын
Thank you! I really appreciate it.
@npip99
@npip99 5 жыл бұрын
Hm, perhaps important to note is that the odds of getting 150 of the same gender on one half of the randomly selected group, is less than 0.0000000000000000000001 If you select from a group purely randomly, you wont be exposed to Simpson's Paradox with any reasonable level of possibility. And the existence of the possibility of Simpson's Paradox has no effect on the data, other than perhaps giving a bimodal distribution which would give you a poor SD if you assume it's unimodal (Which, a poor SD is not a bad thing, it just means you have the opportunity to make your deductions stronger by splitting by gender and then analyzing). The case of Berkeley was not random, of course.
@meganc5927
@meganc5927 9 жыл бұрын
You deserve more subscribers! Just saw your channel because of the response video you made to veratasium, cool stuff
@MrJones2015
@MrJones2015 8 жыл бұрын
Thanks for the explanation. I have read the wikipedia page multiple times but never really understood the simpsons paradox. This video cleared it all up!
@TheViolaBuddy
@TheViolaBuddy 8 жыл бұрын
The problem with this is that how do we know what subsets (male/female in the drug example and departments in the school example) to look at? We can't possibly split every experiment's people into, "people who prefer brie over camembert" vs. "people who prefer camembert over brie," or "people who have at least three vowels in their first name" vs. "people who have fewer than three vowels in their first name" just in case cheese preference or vowel count might have an effect on something. It seems like, in general, there's going to be a lot of guesswork to decide how to break apart the sample into groups - and we might have a bunch of bad results from experiments that do so incorrectly.
@Electroblud
@Electroblud 8 жыл бұрын
+Viola Buddy Indeed that is the case. Makes medical studies very difficult to interpret and extremely prone to error.
@didles123
@didles123 8 жыл бұрын
Viola Buddy If you know that women can more easily recover from a disease, then that means you know that the men and women should be given proportional amounts with men getting half and women getting half. It's also worth considering that the probability of only 50 men getting the drug and 150 women getting the drug is extremely low. It's less than one in a trillion.
@didles123
@didles123 8 жыл бұрын
Getting exactly 100 men and 100 women is going to be about 0.05635 (5.6%); however, it's more important to consider ranges here. For there to be 50 men or less (0 to 50) with the drug, the probability is 4.197E-13. For there to be either less than 50 men or more than 150 men with the drug, the probability is double at 8.397E-13. Remember that a trillion is 1E-12 and this number is lower. The probability of 90 to 110 men getting the drug is 0.84182 (84.1%). So you only have 0.15818 (15.8%) probability of even getting outside that range. You have less than a percent chance of getting outside the 82 to 118 range.
@ZuluKhosa
@ZuluKhosa 8 жыл бұрын
+Viola Buddy Sex difference may change the way body's chemistry works. There's little reason to believe that people's names change their body chemistry.
@jonathangumpangkum5563
@jonathangumpangkum5563 8 жыл бұрын
so with all that said, numbers don't lie just as much as cameras don't lie
@3eenab
@3eenab 8 жыл бұрын
Awesome channel!
@benyodinnyo
@benyodinnyo 8 жыл бұрын
THIS JUST BLEW MY MIND
@achronicstudent
@achronicstudent Жыл бұрын
I have to prepare a presenatation about data science and just got your work. Thanks you saved my life, I may be thief but thank you anyway
@yakir11114
@yakir11114 8 жыл бұрын
brilliant channel
@luchogallardoleon
@luchogallardoleon 8 жыл бұрын
I´ve seen this happening when comparing sales goals' fulfillment rate,
@cfsscfsshk
@cfsscfsshk 8 жыл бұрын
Great video
@TrentoneLightning
@TrentoneLightning 8 жыл бұрын
Nice channel!
@leeeeee286
@leeeeee286 8 жыл бұрын
Wait, why were the charges of discrimination dropped when they realized they were discriminating against men?
@Mengmoshu
@Mengmoshu 8 жыл бұрын
+DanielMasey I'd call a 4 percent gap too small to worry about. In other statistical situations it might even be smaller than the error factor. Also, when it comes to social stuff you should probably allow a fair amount of wiggle room. As a man I do sometimes feel that discrimination against men is ignored, but I'm not gonna quibble over anything less than a 10% gap. Heck, I'll even listen to arguments justifying some discrimination, though I haven't heard any that hold up. On the same topic, there may be some apparent discrimination against men that turns out to be correlation not causation.
@donwald3436
@donwald3436 6 жыл бұрын
Timothy King If the revised data showed 4% higher acceptance for males the suit would have continued.
@romannasuti25
@romannasuti25 6 жыл бұрын
tbh, a similar trend is showed across most levels of education: Women and men are basically equal but only when fully grown. While they are still developing (which can take until the late 20s to finalize brain development), women hold a small but nontrivial advantage. This, coupled with societal perceptions against women taking certain trades assumed to be the domain of men that happen to not require college degrees (plumbing, construction, etc.), and suddenly you arrive at a weird situation where college educated women grossly outnumber men. Such overrepresentation is fairly recent, as many colleges previously either discriminated against women subtly or just tried to aim for 50/50 but now admit applicants gender-blind.
@donwald3436
@donwald3436 6 жыл бұрын
Roman Nasuti Gender blind plus special scholarships for women and oh wait
@AkaomeNanashi
@AkaomeNanashi 6 жыл бұрын
Because they are not women.. Man are not whiny bitches...
@RaymondHng
@RaymondHng 8 жыл бұрын
I wonder if Simpson's Paradox is the reason behind the voting results of the 2016 Eurovision Song Contest. Australia was leading in the Jury vote with the most points and Russia led in the Televote (public vote). But when the points from the Jury and Televote were added together, Ukraine won overall. Place Televoting Points Jury Points 1 Russia 361 Australia 320 2 Ukraine 323 Ukraine 211 3 Poland 222 France 148 4 Australia 191 Malta 137 5 Bulgaria 180 Russia 130
@Tetracarbon
@Tetracarbon 7 жыл бұрын
How come you didn't just mention you can use a multi linear regression to control for gender using a binary variable? Like, I understand you you didn't have to go into OLS to make your point (well done, most of the audience would have run away screaming and unsubscribing) but any researcher worth salt with a first year stats course would just stick in a control variable. Or, realistically, probably a whole tone of control variables.
@frameofessence
@frameofessence 7 жыл бұрын
I actually hadn't taken a stats course yet when I made this video, and I didn't want to risk getting any details wrong. I might include more details if I ever decide to remake it.
@Tetracarbon
@Tetracarbon 7 жыл бұрын
Wow. I just assumed you were a physics teacher, either at school or at a college. Soooooo, not to be too subtle about this but I'd be happy to collab on such a thing, even though I realise that there basically no union between the our sets of audiences.
@shadowsfromolliesgraveyard6577
@shadowsfromolliesgraveyard6577 8 жыл бұрын
So the revision that corrects the data is to value each subset equally?
@frameofessence
@frameofessence 8 жыл бұрын
+Kieron George Pretty much. The tricky part is finding all the variables with possible causal relationships and correcting for those as well.
@AnaICarnaval
@AnaICarnaval 8 жыл бұрын
+Frame of Essence God, i love this channel, you da real MVP.
@SnoFitzroy
@SnoFitzroy Жыл бұрын
me clicking this video: hell yeah spill the tea on number drama
@theBotNinja
@theBotNinja 3 жыл бұрын
Mind blowing
@tonydark6
@tonydark6 9 жыл бұрын
Pretty interesting
@electrosthefella
@electrosthefella 5 жыл бұрын
Nice channel m8.
@redsnake69
@redsnake69 8 жыл бұрын
Cool channel!
@salexmatei
@salexmatei 8 жыл бұрын
interesting, thanks
@ludomine7746
@ludomine7746 5 жыл бұрын
That tau at the beginning though...
@roydadancegod
@roydadancegod 8 жыл бұрын
Tau for the win!
@AviPars
@AviPars Жыл бұрын
Why did u stop making videos
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
A RAMBLER MOLDY INSIDE -- CAN'T NEVER COULD DRIVE.
@TheMaleRoleModel
@TheMaleRoleModel 3 жыл бұрын
that' fucked up. Defo companies out there doing that 👀
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
CROSS SECTION OF GRID, AT THE CROSS, AT THE CROSS , WHERE WE FIRST SAW THE LIGHT. SCANNER
@joseispoisoned
@joseispoisoned 2 жыл бұрын
What I learned: Numbers don't lie, stats do. (sometimes)
@donfox1036
@donfox1036 6 жыл бұрын
Soooo, stats aren’t a easy as we thought. Wait, we didn’t think they were...
@pyromancy8439
@pyromancy8439 4 жыл бұрын
wait wait wait, why is it called a paradox when none of the statements conflict?
@CircuitrinosOfficial
@CircuitrinosOfficial 4 жыл бұрын
kzfaq.info/get/bejne/obCqht14x8zHYJ8.html
@TheRealFlenuan
@TheRealFlenuan 5 жыл бұрын
This would never be an issue if the sample sizes could be arbitrarily increased to ever higher numbers.
@adityav5058
@adityav5058 4 жыл бұрын
numbers lie it says 90% downloaded but it takes forever to download.....
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
IF IT HAD NOT BEEN FOR HER , I WOULD NOT HAVE HIRED YOU.
@kressckerl
@kressckerl 5 жыл бұрын
I still don't understand it, maybe i should rewatch the video when the clock isn't 01:09 am
@cate01a
@cate01a 2 жыл бұрын
okay so why making a fucking error is somehow a paradox is probably because the paradox is specifically for combining data, which is troublesome because data naturally has its more complicated but vital information hidden away in the final answer, so if you try messing with data without fully understanding it youre bound to make mistakes for overlooking some maths
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
WHAT IS WITH THE NO TRESPASSING SIGN? DADDY PUT THOSE UP BECAUSE OF YOU.
@karrotsrkool
@karrotsrkool 9 жыл бұрын
There is no paradox here you just added the fractions incorrectly. For example if you wish to add 10/50 and 90/150 you don't do (10 + 90) / (50 + 150) = 100/200 = 50% you first have to make the denominator equal 10/50 + 90/150 = 30/150 + 90/150 = (30 + 90)/(150 + 150) = 120/300 = 40%. Simple fractions can slip you up but the fault in your maths is odvious as the average of 20% and 60% is not 50% and like wise for 30% and 70% not being 40%.
@frameofessence
@frameofessence 9 жыл бұрын
Andy Adshead Yes, but if we had forgotten to account for gender in our calculations, we never would have that discovered that they were incorrect. We started out with the wrong totals, and we needed to find out that the totals were wrong by splitting them up for each gender. Who knows what other hidden variables we didn't find? If we missed any, then we may have added *them* up wrongly too. But how do we know we found every one?
@karrotsrkool
@karrotsrkool 9 жыл бұрын
Whoever set up the problem had to add the fractions together to get the numbers you see on screen, he added them wrong it's as simple as that. If I just added up the first 2 fractions and said they give 100% then everybody would just call me stupid so I fail to see why this carefully set up stupid maths is any different. Long story short if you tried to advertise with these numbers then your ad (at least in the uk) would just be pulled for lying.
@frameofessence
@frameofessence 9 жыл бұрын
Andy Adshead But the totals weren't found by adding up fractions in this example. They were found by simply counting the number of people with the real drug who recovered, and counting the number of people with the placebo who recovered. And you're right, this is the wrong way to do it, and there likely would be consequences if these numbers were published. As you said, you should look for all the hidden variables and add them with equal denominators for each one. But not everyone will notice a problem with the flawed calculations, which is what I find so interesting.
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
UP AND DOWN JACOB'S LADDER.
@jamesluke8631
@jamesluke8631 6 жыл бұрын
UC Berkly does not give merit as a priority ? It prioritizes genders and sex ?
@LordVulcanus747
@LordVulcanus747 6 жыл бұрын
And so, when you look at the actual data instead of the totals, the gender pay gap... Disappears!
@anselmschueler
@anselmschueler 5 жыл бұрын
It decreases, it doesn't disappear.
@jollytemplar3670
@jollytemplar3670 5 жыл бұрын
Mark Neu If you’re looking at the U.S., then yeah, it disappears.
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
MOREOVERLY WE MANIFEST WHAT WE THINK EVER SO SLOWLY. THE GRID. CRYSTALLIZATION, SHOPPING BUGGIES, OPERATION THINK, IN THE TWINKLING, WHY WOULD ONE EMPTY? ONE , TWO, THREE, FOR THERE IS NO NEED.
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
REASSEMBLED MATTER
@tux1468
@tux1468 5 жыл бұрын
0:09 Can we take a moment to appreciate how he used Tau instead of Pi in one of the equations?
@user-yy7ug8fb4f
@user-yy7ug8fb4f 5 жыл бұрын
مصدر من مصادر الدحيح 😂😂
@nn6oo
@nn6oo 4 жыл бұрын
2020 here
@mobinblack7048
@mobinblack7048 6 жыл бұрын
0:11 Eulers identity is = to -1 not 1...
@frameofessence
@frameofessence 6 жыл бұрын
The equation has a tau instead of a pi, so it still holds.
@mobinblack7048
@mobinblack7048 6 жыл бұрын
Frame of Essence oh... thanks :)
@frameofessence
@frameofessence 6 жыл бұрын
no problem :)
@tassoss13
@tassoss13 8 жыл бұрын
i am sorry i sleep on my desk
@siten1
@siten1 6 жыл бұрын
e^(pi*i) doesn't = 1 wtf? lol
@frameofessence
@frameofessence 6 жыл бұрын
It's a tau, not pi.
@siten1
@siten1 6 жыл бұрын
true... thanks
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
JOHNNY WHITE, ARIZONA PHOENIX, CAIN' T NEVER COULD DR. CAN'T NEVER COULD DRIVE.
@anandsuralkar2947
@anandsuralkar2947 5 жыл бұрын
Says numbers Lie then says they don't
@Starfire0914
@Starfire0914 3 жыл бұрын
So minus the placebo, the numbers were true! 10/50% + 90/150% = 100/200 = 50%
@brayyy846
@brayyy846 5 жыл бұрын
Sad little number wizard.
@sayedshabaan2104
@sayedshabaan2104 5 жыл бұрын
مين اللي جي من عند الدحيح
@aymanmouhcine5749
@aymanmouhcine5749 5 жыл бұрын
انا منظمة بص بصة عالمصادر
@user-yy7ug8fb4f
@user-yy7ug8fb4f 5 жыл бұрын
أنا يا كبير 😂
@abodesoky5697
@abodesoky5697 5 жыл бұрын
مطلعتش الوحيد اللى بيبص على المصادر
@sayedshabaan2104
@sayedshabaan2104 5 жыл бұрын
منورين والله
@gwerneckpaiva
@gwerneckpaiva 2 жыл бұрын
Well, the solution is to do AB testing.
@kowladMC
@kowladMC 4 жыл бұрын
what did we learn ? That women are the stronger ones !
@9z9z9z9
@9z9z9z9 4 жыл бұрын
so basically fixed statistics lie on numbers.
@onlainari
@onlainari 8 жыл бұрын
Wage gap post 1990.
@unknowunknown9096
@unknowunknown9096 3 жыл бұрын
The drug don't harm gay
@Moodzinhox
@Moodzinhox 5 жыл бұрын
بص بصة عالمصادر
@alwinpriven2400
@alwinpriven2400 6 жыл бұрын
data indicate?! indicate?!?!??! triggered.
@sandeepvk
@sandeepvk 6 жыл бұрын
common sense is better than statistics
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
JAGLOIS JANINE
@rixterz11
@rixterz11 4 жыл бұрын
The charges were dropped? Why? They were discriminating against men.
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
ESAU EVER SO STEADILY CREEPS.
@alexanderwoolley1623
@alexanderwoolley1623 3 жыл бұрын
Gaming
@MaximumBan
@MaximumBan 8 жыл бұрын
0:10 e^iп + 1 = 0
@frameofessence
@frameofessence 8 жыл бұрын
+Maksim Bandel It's a tau, not a pi.
@alwinpriven2400
@alwinpriven2400 6 жыл бұрын
that's not pi, that's the cyrrilic pe.
@qusai3101
@qusai3101 5 жыл бұрын
اخوكم من عند دحيح
@leaderamr8580
@leaderamr8580 5 жыл бұрын
علقتلك ٣ مرات 😂😂😂
@pieterluyten3559
@pieterluyten3559 8 жыл бұрын
0:09 e^(i*pi)=-1 not 1
@frameofessence
@frameofessence 8 жыл бұрын
It actually says e^(i*tau) where tau=2*pi
@pieterluyten3559
@pieterluyten3559 8 жыл бұрын
+Frame of Essence oh yeah then its right :) nice video btw
@frameofessence
@frameofessence 8 жыл бұрын
+Pieter Luyten Thank you :)
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
THE WARP, THE WEFT, THE WEAVE WE CREATE AS WE SPEAK . THE SOWER IS THE SEED.
@supremebohnenstange4102
@supremebohnenstange4102 6 жыл бұрын
Ohh like with the gender pay gap?
@Channel-kz5mx
@Channel-kz5mx 2 жыл бұрын
Grow up
@valentimluis
@valentimluis 9 жыл бұрын
"Statistics can be misleading" show some decency and change the title please children are watching!!
@frameofessence
@frameofessence 9 жыл бұрын
Luis Valentim But the final message clarifies it anyway. And the current title is so catchy.
@valentimluis
@valentimluis 9 жыл бұрын
You are right. I'm just so tired of misleading titles and lies everywhere... Please let me have numbers as the last honest thing. Great work by the way.
@frameofessence
@frameofessence 9 жыл бұрын
Luis Valentim Thanks :)
@ITR
@ITR 8 жыл бұрын
+Luis Valentim Wait, so how is the title wrong?
@valentimluis
@valentimluis 8 жыл бұрын
Numbers don't lie
@stevewil7195
@stevewil7195 7 жыл бұрын
so numbers don't lie... clickbait title.
@silence439
@silence439 5 жыл бұрын
Steve Wil not really. What he said is actually a big problem in statistics.
@Ycleptyk
@Ycleptyk 9 жыл бұрын
First
@Lolwutdesu9000
@Lolwutdesu9000 6 жыл бұрын
Someone tell feminists this piece of info, so that they can realise the wage gap isn't real
@silence439
@silence439 5 жыл бұрын
They wouldn't listen anyway.
@ahmedelshorpagy1291
@ahmedelshorpagy1291 5 жыл бұрын
انا مش فاهم حاجة 😂الدحيح احلى بيتكلم مصرى مثلى 😅😂
@voiceinthevoid14
@voiceinthevoid14 6 жыл бұрын
gender wage gap?
@Christopher_Bachm
@Christopher_Bachm 2 жыл бұрын
You show results for 180 people in a 200 person test. Where's the results for the other 20 people? Is this channel run by Tucker Carlson?
@chrisjustus5446
@chrisjustus5446 3 жыл бұрын
EVERYTHING IZ IS CONNECTED. BOLDLY MADE OF THORNS , BOLDLY THOR--NZ IS THE SWEETEST TEA.
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