Bayes' Theorem, Clearly Explained!!!!
Bayes' Theorem is the foundation of Bayesian Statistics. This video was you through, step-by-step, how it is easily derived and why it is useful.
For a complete index of all the StatQuest videos, check out:
statquest.org/video-index/
If you'd like to support StatQuest, please consider...
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0:00 Awesome song and introduction
3:05 A note about notation
5:21 Deriving Bayes' Theorem
9:12 Why Bayes' Theorem is useful
11:39 Another note about notation
#StatQuest #Probability #Bayesian
Пікірлер: 428
Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/
@25BDominique2021
2 жыл бұрын
I just ordered mine. It should be here tomorrow 🥳🎉
@statquest
2 жыл бұрын
@@25BDominique2021 BAM! :)
@veeek8
Жыл бұрын
Just did! Because you are a genius and I finally understand Bayes Theorum!
@statquest
Жыл бұрын
@@veeek8 HOORAY! Thank you very much! :)
@rudraksh111
4 ай бұрын
Grateful to your animation team kudos to you and your team . You are basically changing the way school and education system worked for more than 150 years.😊😊
Can’t believe I bought three books to figure out what was show to me in two KZread videos. Fantastic job good sir. Love the content and just became a subscriber.
@statquest
2 жыл бұрын
bam!
@txreal2
2 жыл бұрын
I minor in math in college 20 hrs ago and forgot almost everything. This channel makes everything so simple. Thanks Josh!
@statquest
2 жыл бұрын
@@txreal2 Thank you!
Josh...you have no idea how life changing ur channel is in my journey of exploring data science
@statquest
2 жыл бұрын
Thanks!
one stat quest video a day keeps the failures away! Thanks Josh for the awesome content as always :)
@statquest
2 жыл бұрын
Thank you!
I really like your videos so far, you are explaining everything enough in detail without making the videos longer than necessary. The clean animations and speaking are also godsent!
@statquest
2 жыл бұрын
Thank you!
One of the best key points to take is the longer form of representation of conditional probability. Never seen this explained in such great and easy detail than here. The longer notation makes everything so easy and simple to understand. You've a great talent to make the subject easily comprehensible for everyone. No other video in KZread has put this concept in such a simple way to understand. Thanks & Triple Bam....❤
@statquest
Жыл бұрын
Thank you very much! :)
Just yesterday I was looking to refresh my knowledge on Bayes theorem when I saw this video appear on my feed. Thank you StatQuest! Best way to learn and review statistics!
@statquest
2 жыл бұрын
Thank you very much! :)
I am an Indian and I love soda, but I love StatQuest more
@statquest
2 жыл бұрын
Triple bam!!! :)
@THEMATT222
2 жыл бұрын
@@statquest Noice 👍 Doice 👍 Ice 👍 you BAMed Throice 👍
I have been waiting for your video on Bayes theorem! So excited :)
@statquest
2 жыл бұрын
bam!
Right on time 😊 I started studying conditional probability and Bayes' rule just yesterday! Thanks StatQuest!!
@statquest
2 жыл бұрын
bam!
Thank you! I didn't understand Bayes while I was studying in high school. Now I understand it! Your explain is so clear!
@statquest
9 ай бұрын
Glad it helped!
Your explanations and animations are simply BRILLIANT 😍
@statquest
2 жыл бұрын
Thank you!
Thank you, Josh! An excellent 'Quest, indeed 😊
@statquest
2 жыл бұрын
Glad you enjoyed it!
That intro is worth the price of admission alone. Thank you for making this; just subscribed!
@statquest
2 жыл бұрын
Awesome! Thank you!
I was struggling to understand Bayes Theorem in my biostats class and this video explained it so well. Thank you Josh!
@statquest
Жыл бұрын
Thanks!
This is a much more intuitive explanation of Bayes' Theorem than the one I first learned with terms like hypothesis, evidence, prior and posterior.
@statquest
Жыл бұрын
Thank you! :)
thank you, Josh! always had a hard time with stats and bayes' theorem
@statquest
2 жыл бұрын
Glad I could help! :)
You are amazing! I was not understanding Bayes theorem no matter how I look at and now, after watching the video, I completely understand
@statquest
Жыл бұрын
Glad it helped!
This is the best channel for data science!!
@statquest
2 жыл бұрын
Wow, thank you!
I believe your videos on KZread could make great substitutes for many of stats course content in universities around the world!
@statquest
2 жыл бұрын
Thank you!
@veeek8
Жыл бұрын
Agreed!
Wow. Thank you so much! I'm not doing anything with Bayesian probability.... but this was so good I had to watch it through! Subbed. I knew how to get a degree of belief and check it... but I didn't know WHY until your video and the "why" is so important.
@statquest
2 жыл бұрын
Glad you enjoyed it!
Unbelievably amazing. Thank you very much for making this channel.
@statquest
2 жыл бұрын
Thank you! :)
You're notes about notation really helped me. I think that's where I got confused before seeing this.
@statquest
2 жыл бұрын
bam!
After this video, I wouldn’t say I understand because this is the first time I dove in this topic, but now I certainly have the idea and I’m fascinated! Great video
@statquest
8 ай бұрын
Thanks!
Everyone should watch your videos, loved this derivation of the Bayes theorem ! I wish I'd find you sooner.
@statquest
Жыл бұрын
Thanks!
I'm not a fan of the "bam" technique; but, in my opinion the explanation is actually clearer, and more easily connected to real-world examples, than other videos which seek to explain Bayes' Theorem. Thank you! (Liked and subscribed. Will be looking at other videos of StatQuest.).
@statquest
29 күн бұрын
Thank you, but brace yourself for a whole lot of bams! ;)
Greetings from Brazil. You are simply a legend, mr. quest. Love the content and the dorky intros! Thank you for everything! ❤
@statquest
5 ай бұрын
Muito obrigado!!! :)
I went headfirst into a grad school cryptography class with zero knowledge of anything math related past high school, and this has helped me out a lot. Thank you!
@statquest
Жыл бұрын
Good luck! :)
I´m a statistics student from Colombia and I want to tell you Your channel is awesome man. keep it this great job. Thank you. again Googleplex BAM!
@statquest
2 жыл бұрын
Glad you like StatQuest!!!
rn studying already really long, but your videos make it doable. Thanks
@statquest
Жыл бұрын
You got this!
Don't know how many ppl relate to it.. but unnecessary optimisations to notations has really screwed up the learning/understanding of concepts. A concrete example is @03:08 This was so spot on!!!
@statquest
2 жыл бұрын
bam!
I really like where this is going.
@statquest
2 жыл бұрын
bam!
@johnjamesbaldridge867
2 жыл бұрын
Quadruple BAM!
You are great. You are really helping build a great future for a lot of people
@statquest
Жыл бұрын
Thank you! :)
I minor in math in college 20 hrs ago and forgot almost everything. This channel makes everything so simple. Thanks Josh!
@statquest
2 жыл бұрын
Thank you very much! :)
Easy to remember and understand. Thank you so much !!!
@statquest
2 жыл бұрын
bam!
I started this video and instantly jumped to subscribe. I love stats and you are the BEST at teach stats! Had to come back and comment just to make sure you know it :)
@statquest
Жыл бұрын
Thank you so much! :)
This videos help me a lot to understand the concepts, and then when I read the 'technical' definition I don´t get scared. DOUBLE BAM!
@statquest
Жыл бұрын
BAM! :)
Thank you for this and all of your many spectacular videos. I was wondering if you could do a StatQuickie or other such video on z-scores if you don't already have one available?
@statquest
2 жыл бұрын
I'll keep that in mind.
This is a great intro to the topic!
@statquest
2 жыл бұрын
Thanks!
I wish you were my lecturer in school and uni. Your material and presentation is that good 👏
@statquest
Жыл бұрын
Thank you! 😃
another brilliant insightful tutorial, perfectly memorable!
@statquest
Жыл бұрын
Thanks!
You are a blessing to humanity!
@statquest
2 жыл бұрын
Thanks!
U sing really well brings smile on face before setting mood for lecture
@statquest
Жыл бұрын
Thank you!
Josh, as usual... Great explanation!
@statquest
2 жыл бұрын
Thank you very much! :)
Your explanation is easily understandable..thank u so much 👍👍👏👏😁
@statquest
2 жыл бұрын
Thanks!
I LOVE this channel:) THANK YOU!
@statquest
2 жыл бұрын
Glad you enjoy it!
Studying philosophy of probability, this vid was a massive help for understanding logical theory type stuff !
@statquest
10 ай бұрын
Thanks!
Only God knows how much I love this channel
@statquest
2 жыл бұрын
bam!
Josh!! Thanks a lot, I love your videos :) Please show us the hypothesis testing in Bayesian perspective. Looking forward to more videos with Bayesian statistics.
@statquest
2 жыл бұрын
That's the plan. Unfortunately I have to write a book on machine learning first. However, as soon as finish the book I'll do a whole series on Bayesian statistics.
@jonathanbernardo3833
2 жыл бұрын
@@statquest double bam!! Looking forward for your book also
@LQNam
2 жыл бұрын
@@statquest Reveal something about your book, please!
@statquest
2 жыл бұрын
@@LQNam I've got about 70 pages done, and in two weeks I'm going to work on it full time until it is done.
Dear Josh, your videos are super fun to watch and learn as well as your book, hope you have a chance to revisit the idea of making a series of Bayesian Statistics in 2024. Triple KUDOs to you.
@statquest
6 ай бұрын
That would be awesome!
The "slightly" redundant notation is very important and I do agree that it deserves to be there/used. And, the/your explanation is excellent. Thank you.
@statquest
6 ай бұрын
Thank you!
Excellent video as usual. May I make a wish: would it be possible that you made a video about bayesian vs. frequentist statistics? Every now and then I stumble about this antagonism, but explanations are often kept on a very abstract level. It would be great if you could give a case study which exposed the different (and incompatible?) conclusions these methodologies come to.
@statquest
2 жыл бұрын
Great suggestion! I hope to do it soon.
This is the best explanation on Bayes' Theorem ever! However, It is so difficult for me to use the kind of basic examples that ilustrates the theorem, for the particular task of analyzing differential gene expression between samples. There are available several "bayesian methods" to analyze gene expression changes and I can not understand the relationship of these methods with the theorem's formulation based on conditional probability. I am looking forward to see the upcoming videos on the subject. Would you please dedicate some of them to such practical applications of the Bayes' theorem? Thanks a lot!
@statquest
2 жыл бұрын
Yes, that's the whole idea of Bayesian Statistics and that is what I want to cover in the follow up videos. Unfortunately I have to write a book about Machine Learning first. However, as soon as that is done I'll make the videos about Bayesian Statistics.
Hey Josh. This is a great video. You and Brandon Foltz should collaborate. Suggestion: A video applying Bayes Theorem to a continuous dataset would be very interesting.
@statquest
2 жыл бұрын
I hope to do a full series on Bayesian Statistics as soon as I can.
Beautifully explained, finally, I get Bayesian. Bam 💥 💥
@statquest
2 жыл бұрын
Hooray!
Great video, thank you so much!!!
@statquest
Жыл бұрын
Glad you enjoyed it!
Very good explanation Josh 👍
@statquest
2 жыл бұрын
Glad you liked it!
Bam is back
@statquest
2 жыл бұрын
yep! :)
undrestood "BAM" context meaning after watching 5 videos. your videos are super super helpful. thankyou and please keep up. please consider including an example scenario for one sided statistical test
@statquest
3 ай бұрын
Thanks!
Thanks for showing the omission in the equation.
@statquest
2 жыл бұрын
bam!
This might be one of the best things on YT.
@statquest
2 жыл бұрын
Wow! Thank you very much! :)
Great explanation josh 👍👍
@statquest
Жыл бұрын
Thank you!
Josh, you need to make hoodies and T-Shirts with Statsquach on. It wold be wery funny!
@statquest
2 жыл бұрын
That's a great idea!!! YES!!!! If I do, I'll send you one. BAM! :)
@mn.v.3447
2 жыл бұрын
Duuuude, i want one
@nonamenoname1942
2 жыл бұрын
Sorry, I prefer... TRIPLE BAM!!!
12:35 it’s tricky, meaning the same thing but with different words, thanks Josh for making it clear
@statquest
7 ай бұрын
Thanks! That was probably the most confusing part of Bayes' Theorem when I learned about it on my own.
Lots of great insights.
@statquest
2 жыл бұрын
Thanks!
I love you man. you saved my life.
@statquest
2 жыл бұрын
thanks!
so so clear explanation! subscribed!!!!!
@statquest
Жыл бұрын
Thanks and welcome!
Me encantan sus videos. Saludos desde Costa Rica!
@statquest
2 жыл бұрын
Muchas gracias!!!
My God, this is amazing content! Need more views!
@statquest
2 жыл бұрын
Thank you! :)
Great explanation StatQuest 😃. Thanks Josh. Bam!
@statquest
2 жыл бұрын
Glad you enjoyed it!
Brilliant as always.....
@statquest
Жыл бұрын
Thank you!
Hands down best channel❣️
@statquest
2 жыл бұрын
Thank you!
@hemesh5663
2 жыл бұрын
@@statquest I should be the one thanking you, you are absolute legend, literally I am not lying, I have never seen a lecture as clear as this and thank you for this service.
@statquest
2 жыл бұрын
@@hemesh5663 bam! :)
what is this! this is the most clear explanation! thank you!
@statquest
2 жыл бұрын
Glad you think so!
I needed this , hope you talk about natural language processing , I cant find any good resource
@statquest
2 жыл бұрын
I hope to soon.
You are such a great teacher. Any uni should be bending over backwards to put you on tenure track just for the clinical brilliance alone.
@statquest
Жыл бұрын
Maybe one day!
Small bam? No. TRIPLE! Thank you for explaining the logic behind Bayesian statistics so clearly.
@statquest
11 ай бұрын
Hooray! :)
I'm looking forward to more Bayesian statistics videos :-)
@statquest
2 жыл бұрын
Me too! Unfortunately I have to write a book on machine learning between now and then....
LOVED IT.
@statquest
2 жыл бұрын
Thank you! :)
I know this might be a new viewer thing, but BAM definitely makes bayes theorem more clear to me
@statquest
7 ай бұрын
bam! :)
Today on wards, I am going to be one of your virtual students through out my life...
@statquest
2 жыл бұрын
bam!
@tamuman93
2 жыл бұрын
@Badrinath SVN - I see what you did there. Clever ;)
Wonderful, wonderful, wonderful!!!
@statquest
Жыл бұрын
Many thanks!!
you are the best! now im going to BAM the subscribing button
@statquest
Жыл бұрын
Wow, thanks!
Top notch professor!!
@statquest
Жыл бұрын
Thank you!
Thank You so much.
@statquest
2 жыл бұрын
Welcome!
Great video. Struggled to understand this all my life. I am from India and we LOVE soda.
@statquest
2 жыл бұрын
BAM! :)
Thank you so much professor ♥️🙏
@somdeepkundu2506
2 жыл бұрын
Sir, i like to learn about AI, I'm not a very good student.. where to start..?
@statquest
2 жыл бұрын
Thanks! If you want to learn more, just pick a topic and this map will tell you where to start: app.learney.me/maps/StatQuest
At 3:05, I immediately endorsed the video and went to watch the previous video.
@statquest
2 жыл бұрын
BAM!
I LOVE STATQUEST!!!!
@statquest
2 жыл бұрын
Hooray! :)
Your videos are the best!! One question relatively unrelated... What software do you use for your videos?? THANKS!!!
@statquest
2 жыл бұрын
I answer that question in this video: kzread.info/dash/bejne/laaAuqyAXainmM4.html
Thank you so much
@statquest
2 жыл бұрын
bam!
Excellent. Thank for clearing up the P(A!B) should be P(A&B!B). This has confused me for years. I would drop in "given" and replace it with "in". P(A!B) becomes P of getting an A in the domain B.
@statquest
2 жыл бұрын
Noted
I have an exam tomorrow and there is a big chance this is comming back and i didn't completely get is so this really helped :D
@statquest
2 жыл бұрын
Hooray! Good luck with your exam! :)
@shillawolf4686
2 жыл бұрын
@@statquest Thank you sir, your videos were a great help to me and other students from my course ^^
@shillawolf4686
2 жыл бұрын
@@statquest Good news, i passed :D With a 6/10. There were a few questions in there about random forest and PCA etc, and i was able to clearly explain it thnx to your videos. I now have machine learning and your videos are agian a great help. You channel trully is a gold mine for people who need to learn statistics ^^
@statquest
2 жыл бұрын
@@shillawolf4686 Congratulations!!! Triple BAM!
You are the best!
@statquest
2 жыл бұрын
Thanks!
watching this before my stat final... wish me luck!
@statquest
Жыл бұрын
Good luck! :)
Waiting for those StatSquatch t-shirts 😁
@statquest
2 жыл бұрын
They are in the works!!!!
Thank you! This helped me understand generating artificial data :D
@statquest
Жыл бұрын
Bam! :)
You are really awesome!!!!
@statquest
2 жыл бұрын
Thank you!
You are a legend.❤️ from India
@statquest
2 жыл бұрын
Thank you!
Statsquatch 😂😂😂boy I have to take my hat off to this guys creativity.
@statquest
10 ай бұрын
Thanks!
Could you please come up with a video on how Bayes theorem actually works, things like updating Prior probability and once the posterior is calculated then the next time we do the same then it would become the prior. This would help a lot and also do cover something about Bayesian thinking and how it applies to our actual lives.
@statquest
2 жыл бұрын
That's the plan. Right now I'm writing a book on ML, but as soon as I am done, I will do a whole series on Bayesian Statistics.
@ltoco4415
2 жыл бұрын
@@statquest Eagerly waiting for it and all the best for your book!
@statquest
2 жыл бұрын
@@ltoco4415 Thanks!