Expected Values, Main Ideas!!!

[@statquest]

Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

[@adolfocarrillo248]

Thank you for sharing your knowledge. This one was clear as the Ganges river, I mean where the main stream rises, near the Himalaya Mountains.😉

[@statquest]

@@adolfocarrillo248 Thanks!

[@therealpattypooh]

Just purchased my copy of Guide to Machine Learning. The first time I saw a video of yours was just some days ago, it was about PCA, and I couldn't believe I understood its concepts. You're exceptional. Thank you, Josh, I'm just addicted to your videos; they keep me motivated!.

[@statquest]

@@therealpattypooh Wow! Thank you so much for your support! BAM! :)

[@apah]

I binged your Statquest stat fundamentals and just finished it. Can't express how much it has helped me build a sense and create a solid base for my ongoing data science masters. The older i grow, the more i realize that in some areas of life, it is best to treat adults like the children they actually are in these specific areas. Unbelievably efficient. You're an amazing teacher who deeply understood how much repetition & maintaining a trail of thought is key (+ bite sized format). I managed to grasp an in depth understanding of most concepts with rarely if ever having to rewind thanks to the number of times you repeat and synthesize key notions. THANKS JOSH !! (Also you're hilarious, and i genuinely love your music and overall vibe, i been going through rough times health & study wise and just can't believe how you made my week, and how you made me enjoy learning probas/stats again) Cheers ♥

[@statquest]

Wow! Thank you very much! I'm really glad to hear that my videos are helping you. I also hope that your rough times will come to an end soon! :)

[@efunchen]

Actually 100% of people in StatLand have heard of Troll 2 because you went around and asked everyone if they've heard of Troll 2 :)

[@statquest]

:)

[@satwiktutor]

bammmm@@statquest

[@Mr_ScrufMan]

@@satwiktutorquite possibly triple bammm

[@MADaniel717]

I like the concept of statland

[@statquest]

Hooray!!!

[@danspeed93]

Explaining clearly the expected values … I clearly understood them. Well done your mission is accomplished!

[@statquest]

Thank you!

[@nicolasabboud8577]

Your method of explaining concepts is unique. You made me love probability and statistics. Thank you a lot. 🌷

[@statquest]

Thanks! :)

[@aysenurfidan1122]

As someone who started to learn to code, and then data analysis and now dying to learn about ML in her 45 without any relevant background, your videos are life saver! I can understand all and I am enjoying it! You make me want to learn more. Thanks a lot!!!

[@statquest]

Hooray!!! :)

[@mhdamayri2529]

I got very curious about Troll 2 and looked it up on the trivia part of the IMDB page it says : "The entire cast went to a casting call hoping to be extras, and ended up in lead roles." You can just imagine for yourself how the trailer looked like.

[@statquest]

bam! :)

[@ayomikunoyenuga821]

I already watched a video before this one to explain what Expected Value meant but when I came across Statquest, I knew I had to definitely watch this video I wasn’t disappointed. Your real-life adaptions for statistical concepts are really engaging, Josh! Kudos!

[@statquest]

Thank you! :)

[@cwtrain]

Statistics at 10pm on a Sunday!? You better believe it! Woo! _buckles up_

[@statquest]

Bam! :)

[@ScottEdwards2000]

Great video. Can't wait to understand the n-1 thing. I've been waiting to understand that for a long time!

[@statquest]

Hopefully we'll get there soon! :)

[@physicsfaith]

You are going to be disappointed... Its a mathematical fact based on the degrees of freedom. What does that mean? If I told you 10 numbers added to 100, do you need to know all 10 numbers or with 9 do you know what the 10th must be because the sum told you to last bit of information? Its going to be just like that here.

[@ScottEdwards2000]

@@physicsfaith cool I'd love to hear more. It's interesting that only the standard deviation needs to be divided by n minus one not the mean

[@statquest]

@@physicsfaith It's related to that, but the actual derivation is pretty complex.

[@evanstoid]

@@statquest attempting to understand the concepts of degrees of freedom and the intuitive understanding of why we need a smaller denominator for estimating the sample variance has only deepened my understanding of my ignorance of those concepts.

[@alainleclerc4523]

isthere a better teacher than you on earth? i don't think so. you are absolutly amazing!! you master the art to make complicated things easy and pleasant. you are so wonderful!! thank you very much for all your efforts in those videos. each one is a gem!! be blessed!!

[@statquest]

Thank you so much 😀!

[@kimiko495]

I wish professors in universities taught in this way. Thanks for making statistics so accessible. I felt very frustrated when I came here but now I am motivated to learn.

[@statquest]

BAM! :)

[@justingomez9615]

Bro, where was this channel all my life, cant believe I'm now stumbling upon this channel. Great Great style of teaching 👍

[@statquest]

Thank you!

[@kevinding1204]

This is super helpful thank you soooooooooo much. I tried to read the textbook definition and it was way too boring/complicated to understand (doesn't explain enough) while your video just makes everything much clearer for me. Thanks!

[@statquest]

Glad it helped!

[@chrisjm80]

Very clearly explained, thank you! Looking forward to the other videos in this series! StatSquatch FTW! 😄

[@statquest]

BAM! :)

[@mereraK]

I saw a genius here today; he explained complex concepts in simple way. Thanks!

[@statquest]

bam! Nice rhyme!

[@teosurch]

Thank you, so clear explanation and an example about the usefulness of the expected value with the calculation of a bet profit!👍

[@statquest]

Glad it was helpful!

[@sxx2491]

dude you saved my life once again with your clear explanation and the proper example

[@statquest]

DOUBLE BAM! :)

[@blackmeteorite-rj3vw]

bro thank you for all that effort to simplify things

[@statquest]

Thanks!

[@pptmtz]

Great job man, greetings from México City, you explain very clearly and the "translation" to fancy notation allows me to better understand some academic papers.

[@statquest]

Muchas gracias!

[@arc7244]

I can't thank you enough! I owe you a lot... The world needs teachers like you 🙂

[@statquest]

Thank you! :)

[@jaquelinemoreira7385]

it's finally clear for me what the expected value means in practical. i'm amazed for it, Thank you so much!

[@statquest]

Hooray!!! BAM! :)

[@faresmhaya]

I can't believe that I was never explained this concept in school. I memorized the name, I memorized the formula again and again every time I needed to use it, only to forget it afterwards, but I never understood the how and why. It's such a shame.

[@statquest]

I hope the video was helpful.

[@faresmhaya]

@@statquest It certainly was! Thank you for the work that you keep doing, and happy holidays!

[@just_a_viewer5]

adore your videos so much, sir. thank you for helping me change my attitude towards this subject. may you get all the happiness you want

[@statquest]

Thank you very much! :)

[@rishithashenal4048]

If you asked everyone if they had heard about the Troll 2 movie before, then the next time you are asking everyone has heard of it.

[@statquest]

:)

[@cananakca1408]

BAM!!! I am hooked on your videos! You make it so easy for anyone to understand.

[@statquest]

Hooray!

[@adnanornab5134]

You explained beautifully. Thank you.

[@statquest]

Thanks!

[@jasonfaustino8815]

THANK YOU! You really are a lifesaver. Wish all educators have your “teach it to a 5yo” approach. I really appreciate you showing the cryptic formulas and then explaining it to me like 5

[@statquest]

Thanks!

[@abdullahshahid9051]

This is the best stats channel easily

[@statquest]

Thank you!

[@AJK-a2j00k4]

The moment he says "it's time for Shameless self promotion" lololol!

[@statquest]

bam!

[@yoshitareddy4137]

BAM!! You are the best!! Thanks a lot, your videos have been very helpful ❤️

[@statquest]

Glad you like them!

[@nepsoldier8552]

It was really understandable You should not stop uploading such content,🔥

[@statquest]

Thanks!

[@janilayturatkhankyzy1321]

Thank you Josh, the way you explain is a masterpiece!

[@statquest]

Thank you! :)

[@apah]

BAAM it's finally here ! Wuan wuan .. can't wait for part 2 & 3 (initially came for the n-1 thing :p)

[@statquest]

:)

[@numberexplorerchannel1827]

Million Baaamss. You just made all expected value confusions so cleeaarr. Salute👌

[@statquest]

Thank you! :)

[@anuragbisht1200]

Statsland growth of population is quite significant from "conditional prob." video to this one 😄

[@statquest]

bam! :)

[@rajns8643]

The explanation was as brilliant as expected :)

[@statquest]

Thanks!

[@deeedledeee]

Thanks for the lottery system setup guide.

[@statquest]

:)

[@TrungTran-dp3ct]

hey Josh, Thank you for all of your videos. Better than other online courses/resources, and it's totally FREE. You are GOD!

[@statquest]

Wow, thanks!

[@farukapece]

Thank you very much for your very nice and clear explanation.

[@statquest]

bam! :)

[@rashmik19]

Alone maths has never helped me to learn data science skills, it's a combination of maths, intuition and the physical significance of the concepts. I found all of them here on your channel.

[@statquest]

Hooray! I'm so glad my videos are helpful.

[@catmeme4life220]

Troll 2 is going to be the all I can think of during the midterm ... thanks...

[@statquest]

:)

[@mysticalpotato2110]

Hi Josh, please make a video on degrees of freedom.. Thanks

[@statquest]

I would love to.

[@raduandreicosmin]

Looking forward to part 2! Continuous expected value is something I've been struggling to find a comprehensive, easy to understand explanation on.

[@statquest]

That should be coming out next week.

[@koustubhmuktibodh4901]

Wow! what a great explanation.

[@statquest]

Thanks!

[@vinitbipinjain]

Thank you so much for an amazing video and the pdf!

[@statquest]

You are welcome!

[@kendesmarais9018]

Josh you are the best! Thanks so much for your helpful videos!

[@statquest]

Glad you like them!

[@ericdanielasi5983]

I sat through this and it's worth it.

[@statquest]

Thank you! :)

[@anashaat95]

Clear explanation. Thank you.

[@statquest]

Thank you!

[@miguelcabrera9682]

Awesome video. Thanks!

[@statquest]

Glad you liked it!

[@vikat06]

Really good explanation!!

[@statquest]

Thank you! :)

[@Veto2090]

StatSquatch knows there's a Troll 2 viewing party happening at the local theater and he's about to fleese us

[@statquest]

BAM!

[@momentum742]

best person to learn math from

[@statquest]

Thanks!

[@tayyabhussaintahir]

You are the best, please keep making these wonderful videos.

[@statquest]

Thank you! Will do!

[@LeCassiopeia]

I love you for creating this. This helps me so much.

[@statquest]

I'm so glad!

[@ichimatsu8422]

"Make it look more cryptic" this man knows the struggle

[@statquest]

bam!

[@praveerparmar8157]

Super duper like for the video. Pity on the Statsquach 😀

[@statquest]

Hooray! :)

[@pon-poncedie4963]

thank god I'm desperate to learn what school is trying to teach me. This was very good, as I was confuse how to read what the Big E was.

[@statquest]

bam!

[@bob_bobsen]

Loved the sly comment about textbook clarity at 08:10

[@statquest]

:)

[@yitanglu6039]

Could you make an album collecting songs in your videos? Love those songs.

[@statquest]

Bam! :)

[@yorchais]

Best explanation ever!

[@statquest]

Hooray! :)

[@rashmik19]

Awesome content.....BAM!!! BAM!!! BAM!!!

[@statquest]

Thank you! :)

[@rishabhnarula1999]

great teaching, thank you sir. 👍😊

[@statquest]

Thanks!

[@EN-wd9yu]

finally got it! quadruple BAM!!!!

[@statquest]

Hooray!

[@stephenmaharaj5230]

Useful and fun. Thanks.

[@statquest]

Thanks! :)

[@bibekanandabhattacharjee952]

Fantastic, superb !!

[@statquest]

Many thanks!

[@govamurali2309]

Waiting for Stat quest on degrees of freedom❤

[@statquest]

One day it will happen! :)

[@rungrawin1994]

Love your explanation! Can you explain about LoTUS plsss.

[@statquest]

I'll keep that in mind.

[@skysummer1586]

Exactly what I need right now!!! Thank you so much!

[@statquest]

Glad I could help!

[@Vanadium404]

12:15 Stats squach is the worst gambler ever 😂😂

[@statquest]

Totally!

[@lifeisbeautifu1]

Thank you!

[@statquest]

You're welcome!

[@h-s7218]

Great and awesome video ever !

[@statquest]

Thank you!

[@TheFobJang]

Loved it! And poor StatSquatch

[@statquest]

Thank you!

[@ptxsv8705]

Omg this helps me understand so much quicker

[@statquest]

bam! :)

[@monilcharola6873]

Your videos are awesome !!!

[@statquest]

Glad you like them!

[@b3_66_varadlatkar7]

Your voice is like I'm hearing a podcast

[@statquest]

bam!

[@misnik1986]

excellent job

[@statquest]

Thank you very much!

[@playerdreamer181]

DUDE THIS IS SO COOL

[@statquest]

Thanks!

[@mixalisk.5413]

Josh hello from Greece!!! Thank you for all of your videos. Could you please consider making 1 or 2 statquests about time series? No matter how much I searched i couldn't find something comprehensive

[@statquest]

I'll keep that in mind.

[@emanelsheikh6344]

Thank you so much 🙏

[@statquest]

You're welcome! :)

[@maryemeraghi9316]

Thank you Josh Starmer for putting together this video. However, I have a problem with your hypothesis: Listen again between the timeline 3:40 and 3:45, The bet was: $1 if the next person they met has "heard of Troll 2" but then you went on to say that they will loose the bet if the next person we met has "heard of Troll 2" and you assigned (-1) as the outcome. This is a contrast to what the bet proposed initially. Please kindly explain

[@statquest]

When you make a bet with someone, one person will win and the other person will lose. In this case, you and I are making a bet with StatSquatch. That means that if you and I win, then StatSquatch will lose and if you and I lose, then StatSquach will win. Now, in this case, if the next person we meet has "heard of troll 2", then StatSquatch will win $1 and we (you and I) will lose $1. Because we will loose $1 (because we lost the bet to StatSquach) and StatSquatch will win $1 (because they won the best against us), I put -1 to represent you and I loosing $1.

[@sidkapoor9085]

Intuitive build-up and explanation.

[@statquest]

Thanks!

[@mbs8249]

Thank you

[@statquest]

You're welcome!

[@Ra-pt6tx]

Great Job

[@statquest]

Thanks!

[@bablu_0k]

Dudeee... statsquach sure love to take risks 😂

[@statquest]

bam! :)

[@duy-nq]

Just have the interview a few days ago, guys! They ask me the same type of question like the one in this video @@ and I'm fail to answer. Now I understand why... lol

[@statquest]

Thanks for the tip! Hopefully you’ll do better next time.

[@setarehbakhshi6047]

I loveeeeeeeeeeeeeeeeeeee your teaching method.

[@statquest]

Thank you very much! :)

[@ChelseaaaL]

Love the content. But I guess that we might lose the bet because in the survey, everybody kind of heard of the troll 2 in being asked the question have you ever heard of Troll 2😂😂😂😂

[@statquest]

bam! :)

[@bebarshossny5148]

lovely channel, subbed!

[@statquest]

Awesome, thank you!

[@MarwinMachay]

Amazing video! Thanks for making stats clearer to us :) Question: the expected value should be the same either sampling with or without replacement, right?

[@statquest]

I believe so. The idea is "what do we expect, on average".

[@julieyananzhu1134]

Hi, Josh. Hope you can talk about mixed-effect model. And the pros and cons compare with GEE. Thanks!

[@statquest]

I'll keep that in mind.

[@Arjunsiva]

StatSquatch == Kevin Malone

[@statquest]

:)

[@Hammadisteachingchemistry]

Oh man what a show

[@internallyinteral]

josh starmer is a great human.

[@statquest]

Thank you!

[@hasinabrar3263]

Please write a book on statistics and machine learning.

[@statquest]

I'm working on an ML book right now. Statistics will come next.

[@hasinabrar3263]

@@statquest Please share with us as soon as you finish.

[@ankitagrawalgeneral]

Dear Josh, Thank you for creating great videos and uploading in KZbin for us. I was watching your Logistic Regression video and I was struggling with cross terms between differernt features. Do you know any literature on how to include cross terms in the model?

[@statquest]

I believe you are asking about interactions. Interactions are when two features can influence each other. Like you might have two different drugs that help reduce blood pressure, and when taken separately, that's what they do, but when taken together, you might end up with something completely different (like higher blood pressure or something else). That's an interaction and the "x" term accounts for that. Unfortunately I don't know of any good literature on the subject.

[@ankitagrawalgeneral]

@@statquest Thanks for the answer. Yes you got it absolutely right. I will check it. Can you cover Louvain and Leiden clustering in your upcoming videos. I want to hear from you about these techniques which are frequently used in single-cell community. Thanks a lot.

[@asfpjaspdfpdso]

Bam!!! :)

[@statquest]

:)

[@futbolscoop]

Thanks , keep it up sir

[@statquest]

Will do!

[@zahraeftekhar3308]

Great video! looking forward to other parts! Could you please also do a video on Dirichlet distribution and latent Dirichlet allocation. I am struggling with them these days :( that would be awesome!

[@statquest]

I'll keep that in mind.

[@tristanv6202]

I love these videos! They are perfect for understanding important fundamentals. One question tho... When making the bet you know you have 213 (N_total) people in StatLand. When you find the outcome of the first bet wouldn't you change the probability from the definite heard of (N_A) or not heard pile (N_B)? If so then shouldn't your expected value be different every time as you make the bet and is there a mathematical expression for what I just described?

[@statquest]

I'm not sure how the outcome of the first bet changes whether or not people know about Troll 2. Can you clarify?