What is the Chi-Squared distribution? Extensive video!

See all my videos at www.zstatistics.com/
0:16 Introduction
2:20 History
3:21 Derivation - where does it come from?
9:40 Mean and Standard deviation
15:48 Visualisation! Changing the degrees of freedom.
Note: videos on Chi-squared goodness of fit and Chi-squared test for independence to be uploaded by Jan 15, 2020.

[@ahnafislam6004]

I've watched 7 videos of the distributions series at a stretch and I'm absolutely delighted! I have never watched any statistical videos explained in such details, yet made so intuitive. Amazing work! Please keep these coming.

[@just_mudit]

Woah, I never expected that acknowledgement of Indian viewers at the end. I must tell you that I see your videos and always get totally amazed by the way you explain things, I always wanted my professors to focus more on intuitive side of things but then your videos fill that void. And yeah, I am from India and would 'really' love to meet you one day. Your fan!

[@zedstatistics]

Thanks so much for this, Mudit! One day I hope to travel to India though it looks like those plans are on hold for a while. Wishing you safety and health in these strange times!

[@baraks3874]

Dear ZED, This tutorial came just ON TIME between my statistix course last year 2019 and this semester 2020. CHI square, the way you teach it, is suddenly MADE CLEAR like magic. i can say now that I understand the distribution. all I need is to watch the other chi square usage tutorials and make sense of the test . again, many thanks. highly recommended.

[@aravindssingapore4327]

Hello, Mr. {Justin}. It appears that I found your teaching resources {just in} time - slightly over a month before the end-of-semester examination. Your teaching is life-preserving. Most intriguingly, the way you teach mathematics is like how a literature professor would disassemble and compartmentalise a Shakespeare play in a university English course. Very interesting and thought-provoking choice of words. I will surely recommend your videos to siblings, relatives and friends...

[@freeabring1864]

I swear, every time I think that I don't get a topic in statistics I stumble across your videos and end up understanding everything, thanks!

[@gustavoseguchi955]

OMG thanks man! After 3 years since I was first introduced to the concept it finaly starts making sense

[@veronicanwabufo5905]

Thanks Justin. It's nice smiling while taking a stats class. I might just end up watching all the videos on your channel! Keep up the good job.

[@CptBumFlufff]

The timing..... I started studying this distribution at uni (online) today, your video appears on my feed today.... Thanks for your videos btw, they have been so helpful.

[@tanjimrafi6211]

Please don't stop making this awesome videos.Thank you.

[@oishaneekar8024]

What a detailed and fun video! You deserve more and more subscribers.Also,this kind of cleared my concepts.Thanks a ton! Love from INDIA,hope your channel grows!

[@chitralarora2012]

Thank god the chi square video is up. Looking forward for the remaining distributions as well.

[@kanikabagree1084]

I'm giving a economics pg entrance exam this year this video helped me loads thankyou so much. I wish we could have a professor like you in college

[@AbhishekGupta-wx2ib]

This is really cool, I love the fact when you say that you hate "Formulas", trust me Ihave come across very few curious souls like you, who doesn't not settle on a given formula but want to understand "Why" You are are helping a lot pf people develop their intuitive streak, please keep it up. Stay Safe!!

[@yigitsavasc1793]

You are explaining everything so understandable like teaching to a kid, so clean. Thanks a lot.

[@shettysamarth]

perfect channel to LEARN statistics. People just mug things up but there is so much depth to it. Interesting

[@carlos04031972]

My name is carlos Rivera, I am an ophthalmologist from Cali, Colombia, I am a clinical practitioner, trying to understand biostatistics. your videos are very clear and easy to understand. congrats. I will really appreciate videos of survival analysis, ROC curves, interpretation of literature in ophthalmological field.

[@amressam3600]

Hi, Really appreciate your videos. I studied same topics from CFA & FRM books and many other videos but never got this high value of information same as i got it from your videos. Many thanks

[@joveng.balberona4555]

this is the most detailed explanation about chi-square distribution, thank u zed

[@antygona-iq8ew]

First thing I did was checking Pearson' s social ideas. Is bewildering how some so smart can be also so mistaken.

[@harshitm6403]

A very well structured video...I have just started statistics and I'm pretty sure, ill be seeing more of your videos in the coming days

[@PunmasterSTP]

How did your statistics class go?

[@tthierryteresa2930]

Explaining the intuition behind make it so interesting. I don't know why you do that, maybe pure altruism? Share your passion for stats? you're delivering so much value in those videos that you deserve a golden medal. All I can say is thank you.

[@rbg9854]

This is great! Thank you! And yes please don’t stop making these videos!

[@farzana4077]

The way you explain things in details and intuitively! Much love to you from Bangladesh sir ❤️

[@danielchacreton2401]

I think you might be my favorite person that I don't know. Keep these videos coming!

[@shobanapp2913]

Nice one sir I'm also from India we really appreciate how u want to introduce all these concepts cuz in our college there is not sufficient time for our professor to go this deep

[@swayamkumarpatro776]

Hey! It is very good that intuition is given importance in your videos... Very nice to see that

[@vicky7517]

Amazing video, focusing on why... You are a great teacher.

[@sdsa007]

very upbeat way to learn statistics, with a sense of wonder and curiosity, and nice background music! pleasure!

[@saparora9021]

Sir Great content, I was studying Statistics and all concept were going over the head, after watching' your videos I was able to understand the concepts. GREAT CONCEPT & EXPLANATIONS, KEEP IT UP SIR AT LEAST FOR THE NEEDY KIDS, please also release a video on LOG NORMAL DIST.

[@lekjov6170]

Thanks for taking the time to make these videos.

[@Sprungler]

Phenomenal work as always, thank you!

[@thepinkcodon]

Thanks for this wonderful video! Love the intuitive narration

[@ashutoshpanigrahy7326]

Awesome vid! Just the intuition I was looking for.

[@Engineer78206]

thank you sir , lots of love from India.

[@wafik206]

very helpful and intuitive. amazing work !!

[@user-uf9xr7zg9z]

Your videos are really easy to understand. Thank you.

[@adekunleadekoya]

Thank you for this playlist. Very informative.

[@CanDoSo_org]

You are such a great teacher. Thank you so much.

[@GAMESLIVRE]

the best statistic channel.

[@captainlux409]

Indeed.

[@aheebwabob2015]

You need to travel to Uganda as well to meet Bob your proud and committed student. You're one of the few teachers i revere and look up to. You utilize the uncharted territories of the mind. i like your intuitive approach, engages me.

[@hoerbschmidt618]

Thanks for the great explanation of why E(z) is equal to df I could not wrap my head around that before your explanation.

[@mojopin1122]

You are amazing. Truly. Thank you

[@kvs123100]

I'm still at 1/3rd of the video! Damn the explanation is awesome! Appropriate speed and the questions explained matching with our thoughts!

[@irynav1599]

Hello, Justin, and a huge thank you for your videos! I would like to ask if you can create a video where you derive the mean and variance of the Chi-Squared distribution using the moment-generating function? Thanks again!

[@rubyburnzz]

Timing is also perfect lol I just started this and now it’s here from you hmmmm

[@dewinmoonl]

this guy's great, it's like a more technical version of statquest

[@shahdanyal7542]

Nice way explaining thing in intuitive way that mind easily assimilate.

[@BHAVYAJAIN-lw1fo]

This spirit is exactly what everyone wants in a teacher

[@elcapitano1633]

16:50 caption was hilarious. Thanks for amazing video

[@bitteshchaki1078]

Wowww.... Just wowww... Thanks man for these awesome videos. Really appreciate.

[@rayralota2368]

Hey zed what a wonderful presentation thanks for this. Continue to make more stats and prob videos

[@saranshgautam3011]

Amazing video! Much love from India

[@liyanda6491]

Fabulous explanation!

[@SnigdhaChowdhury8888]

Best video on Chi-square distribution... Thanks for clearing my whole concept.... #studentfromIndia

[@ThanhThuy-wb6lm]

thanks a lot for your clear explanation 🎉 best teacher ever

[@ParagSen1988]

Your videos are simply outstanding. Could you please make videos on (i) Chi-squared test for variance and (ii) F distribution?

[@suhanisingh3257]

This is soo helpful Thankyou so much🙏

[@user-yr4qv7jk9j]

Sooo Nice video!! Thx for your extraordinary work!!!

[@rrrprogram8667]

This is awesome video... Thanks for making

[@Maria-sf8yg]

intuition is what almost all students lack when they are treating statistics thanks for improoving our intuition

[@gat0tsu]

Thanks so much. Best explanation ever

[@shaz-z506]

Wow, Chi-square distribution after a Long time no see....:)

[@AhmadHassan-fm8ip]

Thanks man I appreciate your work

[@moart87]

This is so good! 🔥

[@-Biswajit_]

really very informative video. Thanks man!

[@yifeiwang8351]

thank you so so much for making this video!!

[@sayanmandal5322]

great amazing way of explanation. Very simplified and unique👌💝💥💥

[@rahul123456ism]

Excellent Explanation 🙏

[@madhurasutar5332]

Thanks!! you are amazing teacher👍👍

[@bernardchalk1617]

thanks this has given me a better idea of what is going on

[@abcpsc]

Thanks for the video. Could you please talk about copula and negative extreme dependence in the next video? Multivariate stat is killing me...

[@balamuralikannaiyan6164]

As always, the video is very useful.. Can you please make a video on why we are using variance instead of mean to test the goodness of fit.. it would be of immense help

[@luchinchang842]

A really great video, it helps!!

[@swatishrivastava2826]

Request you to provide Lognormal Distribution video. Thank you for doing what you are doing.

[@victoriavalentimfreire7168]

Wonderful video!

[@juliangnanadhas6332]

I am a great fan of your videos and really impressed by the outstanding teaching ability. I have a doubt with Chi-square distribution. First why we are squaring the z value to get Chi-square? Why we are taking about degree of freedom in chi-square distribution, but not in normal distriubtion? Also, why we are using chi square to find the goodness of fit and finding the association of attributes. If you could explain using a practical example, it would help us to understand. Thanks.

[@shrutisonavane1329]

Im Indian too and I appreciate your videos.

[@WBlocknation]

knew it my guy is here to help me out!!

[@AvinashKumar-cz2yy]

Could you please make a video on the CENTRAL LIMIT THEOREM and LAW OF LARGE NUMBERS. These videos are the most intuitive probability distribution videos i have ever seen.

[@arify.1601]

perfect explanation. thanks

[@annafeting7856]

Jeez.....I love your videos

[@thatdecemberguy]

Doing a great work, your videos are quite nice and would like to see you and jb statistics collaborating some day 😁

[@zahramanafi4793]

Thank you for this good video :) I wanted to explain these topics in my thesis but unfortunately, I hadn't understood these well. Now I know all I wanted to know. I have a request. Please introduce a good book or article. I want to add that to the bibliography.

[@prathapkb123]

Wow.. Just wow.. Awesome content

[@shikhajoshi5746]

Thankyou! love from India!

[@medicinalvl-up862]

dude, great video!! thank you

[@abdulrehman6467]

increadiblr place for incredible people like you

[@pamm3914]

Thank you Zed🩷😭 you're my saviour

[@rsreelekshmi60]

Your vedios are amazing... Can you make a playlist on estimation

[@just_a_viewer5]

thank you so much for your videos! love from india

[@bhargav1811]

Your are helping many students

[@souviksarkar6891]

@15:25 from where did you find the value of V(Z1)2 as 2?

[@nahidbodiz7053]

What's the reason you need to square the z value for chi distribution from the first place? I try to gist the concept.

[@sankhanilnayek9345]

17:52 Woohoo!! Cheers Justin, you make statistics fun, unlike the statistics professor at our college.

[@srith_arts_and_games]

Good presentation

[@aalaptube]

Justin, since you specifically asked __not__ to look into Pearson's social ideas, I had to (we've all descended from monkeys, haven't we?). Yep, not worth looking up. :) But seriously, great videos. It has been years since I finished college, and have not been using my brain so much in my career; recently joined a Data Science course, and even though everyone keeps telling me just the surface of stats and maths is enough, it doesn't satisfy me. Your videos (and a few others) help me gain a good insight into the subject, and I simply love it when suddenly something strikes me and I start understanding stuff! You make KZbin a good place! :)

[@marcussuzuki4031]

Yo. I've been trying to do this for a while, but it's hard. Any way do you know how to derive the PDF for the chi-squared distribution without using the moment generating function for n samples?

[@ankushsharma1388]

great job

[@caseyj1144]

I would love a video why SS/sigma^2 are chi squared distributions for SS_t, SS_r, SS_res

[@jorgemercent2995]

@14:00 very confused as to why varience of a variable with k degrees of freedom is the summation of Z square. It is not mentioned anywhere before. Where do that come from? What do earth does it even mean? very confusing