What is the Chi-Squared distribution? Extensive video!

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  • เผยแพร่เมื่อ 25 มิ.ย. 2024
  • 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.

ความคิดเห็น • 170

  • @just_mudit
    @just_mudit 3 ปีที่แล้ว +110

    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
      @zedstatistics  3 ปีที่แล้ว +49

      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!

  • @ahnafislam6004
    @ahnafislam6004 4 ปีที่แล้ว +94

    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.

  • @baraks3874
    @baraks3874 3 ปีที่แล้ว +5

    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.

  • @CptBumFlufff
    @CptBumFlufff 4 ปีที่แล้ว +21

    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.

  • @freeabring1864
    @freeabring1864 3 ปีที่แล้ว +4

    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!

  • @aravindssingapore4327
    @aravindssingapore4327 4 ปีที่แล้ว +26

    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...

  • @gustavoseguchi955
    @gustavoseguchi955 4 ปีที่แล้ว +2

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

  • @tanjimrafi6211
    @tanjimrafi6211 4 ปีที่แล้ว +2

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

  • @veronicanwabufo5905
    @veronicanwabufo5905 3 ปีที่แล้ว +1

    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.

  • @chitralarora2012
    @chitralarora2012 4 ปีที่แล้ว +1

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

  • @AbhishekGupta-wx2ib
    @AbhishekGupta-wx2ib 3 ปีที่แล้ว +1

    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!!

  • @oishaneekar8024
    @oishaneekar8024 4 ปีที่แล้ว +1

    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!

  • @kanikabagree1084
    @kanikabagree1084 4 ปีที่แล้ว +3

    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

  • @shettysamarth
    @shettysamarth ปีที่แล้ว

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

  • @yigitsavasc1793
    @yigitsavasc1793 2 ปีที่แล้ว

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

  • @carlos04031972
    @carlos04031972 4 ปีที่แล้ว

    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.

  • @antygona-iq8ew
    @antygona-iq8ew 2 ปีที่แล้ว +1

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

  • @tthierryteresa2930
    @tthierryteresa2930 2 ปีที่แล้ว +1

    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
    @rbg9854 3 ปีที่แล้ว

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

  • @joveng.balberona4555
    @joveng.balberona4555 3 ปีที่แล้ว

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

  • @amressam3600
    @amressam3600 3 ปีที่แล้ว

    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

  • @danielchacreton2401
    @danielchacreton2401 2 ปีที่แล้ว

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

  • @Sprungler
    @Sprungler 2 หลายเดือนก่อน

    Phenomenal work as always, thank you!

  • @lekjov6170
    @lekjov6170 3 ปีที่แล้ว

    Thanks for taking the time to make these videos.

  • @shobanapp2913
    @shobanapp2913 4 ปีที่แล้ว +2

    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

  • @farzana4077
    @farzana4077 2 ปีที่แล้ว

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

  • @Engineer78206
    @Engineer78206 15 วันที่ผ่านมา +1

    thank you sir , lots of love from India.

  • @vicky7517
    @vicky7517 2 ปีที่แล้ว

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

  • @harshitm6403
    @harshitm6403 4 ปีที่แล้ว +4

    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
      @PunmasterSTP 27 วันที่ผ่านมา

      How did your statistics class go?

  • @ashutoshpanigrahy7326
    @ashutoshpanigrahy7326 ปีที่แล้ว

    Awesome vid! Just the intuition I was looking for.

  • @GAMESLIVRE
    @GAMESLIVRE 4 ปีที่แล้ว +2

    the best statistic channel.

  • @swayamkumarpatro776
    @swayamkumarpatro776 3 ปีที่แล้ว

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

  • @thepinkcodon
    @thepinkcodon 3 ปีที่แล้ว

    Thanks for this wonderful video! Love the intuitive narration

  • @mojopin1122
    @mojopin1122 3 หลายเดือนก่อน

    You are amazing. Truly. Thank you

  • @sdsa007
    @sdsa007 ปีที่แล้ว

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

  • @wafik206
    @wafik206 3 ปีที่แล้ว

    very helpful and intuitive. amazing work !!

  • @adekunleadekoya
    @adekunleadekoya 2 ปีที่แล้ว

    Thank you for this playlist. Very informative.

  • @CanDoSo_org
    @CanDoSo_org ปีที่แล้ว

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

  • @user-uf9xr7zg9z
    @user-uf9xr7zg9z 10 หลายเดือนก่อน

    Your videos are really easy to understand. Thank you.

  • @saparora9021
    @saparora9021 4 ปีที่แล้ว +1

    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.

  • @kvs123100
    @kvs123100 3 ปีที่แล้ว

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

  • @hoerbschmidt618
    @hoerbschmidt618 ปีที่แล้ว

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

  • @liyanda6491
    @liyanda6491 4 ปีที่แล้ว

    Fabulous explanation!

  • @elcapitano1633
    @elcapitano1633 4 ปีที่แล้ว +2

    16:50 caption was hilarious. Thanks for amazing video

  • @irynav1599
    @irynav1599 2 ปีที่แล้ว +1

    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!

  • @dewinmoonl
    @dewinmoonl 2 ปีที่แล้ว

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

  • @bitteshchaki1078
    @bitteshchaki1078 4 ปีที่แล้ว

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

  • @BHAVYAJAIN-lw1fo
    @BHAVYAJAIN-lw1fo ปีที่แล้ว

    This spirit is exactly what everyone wants in a teacher

  • @AhmadHassan-fm8ip
    @AhmadHassan-fm8ip 2 ปีที่แล้ว

    Thanks man I appreciate your work

  • @shahdanyal7542
    @shahdanyal7542 4 ปีที่แล้ว +2

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

  • @victoriavalentimfreire7168
    @victoriavalentimfreire7168 2 ปีที่แล้ว

    Wonderful video!

  • @annafeting7856
    @annafeting7856 3 ปีที่แล้ว

    Jeez.....I love your videos

  • @yifeiwang8351
    @yifeiwang8351 2 ปีที่แล้ว

    thank you so so much for making this video!!

  • @user-yr4qv7jk9j
    @user-yr4qv7jk9j 2 ปีที่แล้ว

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

  • @ThanhThuy-wb6lm
    @ThanhThuy-wb6lm 5 หลายเดือนก่อน

    thanks a lot for your clear explanation 🎉 best teacher ever

  • @gat0tsu
    @gat0tsu ปีที่แล้ว

    Thanks so much. Best explanation ever

  • @rubyburnzz
    @rubyburnzz 4 ปีที่แล้ว +1

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

  • @aheebwabob2015
    @aheebwabob2015 ปีที่แล้ว

    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.

  • @shaz-z506
    @shaz-z506 4 ปีที่แล้ว +1

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

  • @rahul123456ism
    @rahul123456ism 4 ปีที่แล้ว

    Excellent Explanation 🙏

  • @saranshgautam3011
    @saranshgautam3011 3 ปีที่แล้ว

    Amazing video!
    Much love from India

  • @rayralota2368
    @rayralota2368 ปีที่แล้ว

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

  • @prathapkb123
    @prathapkb123 2 ปีที่แล้ว

    Wow.. Just wow.. Awesome content

  • @rrrprogram8667
    @rrrprogram8667 4 ปีที่แล้ว +1

    This is awesome video... Thanks for making

  • @arify.1601
    @arify.1601 2 ปีที่แล้ว

    perfect explanation.
    thanks

  • @vinodgurjar8686
    @vinodgurjar8686 7 วันที่ผ่านมา

    its so nicely explained that i wanna explain it to someone else now

  • @-Biswajit_
    @-Biswajit_ 3 ปีที่แล้ว

    really very informative video. Thanks man!

  • @ParagSen1988
    @ParagSen1988 2 ปีที่แล้ว

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

  • @marcussuzuki4031
    @marcussuzuki4031 4 ปีที่แล้ว +1

    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?

  • @suhanisingh3257
    @suhanisingh3257 4 ปีที่แล้ว +1

    This is soo helpful
    Thankyou so much🙏

  • @abdulrehman6467
    @abdulrehman6467 2 ปีที่แล้ว

    increadiblr place for incredible people like you

  • @moart87
    @moart87 3 ปีที่แล้ว

    This is so good! 🔥

  • @bernardchalk1617
    @bernardchalk1617 ปีที่แล้ว

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

  • @madhurasutar5332
    @madhurasutar5332 3 ปีที่แล้ว

    Thanks!! you are amazing teacher👍👍

  • @luchinchang842
    @luchinchang842 4 ปีที่แล้ว

    A really great video, it helps!!

  • @WBlocknation
    @WBlocknation ปีที่แล้ว

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

  • @SnigdhaChowdhury8888
    @SnigdhaChowdhury8888 2 ปีที่แล้ว

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

  • @aalaptube
    @aalaptube ปีที่แล้ว

    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 TH-cam a good place! :)

  • @souviksarkar6891
    @souviksarkar6891 4 ปีที่แล้ว +2

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

  • @AvinashKumar-cz2yy
    @AvinashKumar-cz2yy 2 ปีที่แล้ว

    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.

  • @abcpsc
    @abcpsc 4 ปีที่แล้ว +2

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

  • @Maria-sf8yg
    @Maria-sf8yg 3 ปีที่แล้ว

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

  • @pamm3914
    @pamm3914 หลายเดือนก่อน

    Thank you Zed🩷😭 you're my saviour

  • @juliangnanadhas6332
    @juliangnanadhas6332 3 ปีที่แล้ว +1

    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.

  • @balamuralikannaiyan6164
    @balamuralikannaiyan6164 3 ปีที่แล้ว

    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

  • @just_a_viewer5
    @just_a_viewer5 ปีที่แล้ว

    thank you so much for your videos! love from india

  • @swatishrivastava2826
    @swatishrivastava2826 2 ปีที่แล้ว

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

  • @shikhajoshi5746
    @shikhajoshi5746 3 ปีที่แล้ว

    Thankyou! love from India!

  • @thatdecemberguy
    @thatdecemberguy 3 ปีที่แล้ว

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

  • @shrutisonavane1329
    @shrutisonavane1329 4 ปีที่แล้ว

    Im Indian too and I appreciate your videos.

  • @bhargav1811
    @bhargav1811 2 ปีที่แล้ว

    Your are helping many students

  • @sayanmandal5322
    @sayanmandal5322 2 ปีที่แล้ว

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

  • @hofmanhe7059
    @hofmanhe7059 3 ปีที่แล้ว

    Awesome video! great help for my coming up exam.
    p.s is that Australia accent?

  • @medicinalvl-up862
    @medicinalvl-up862 3 ปีที่แล้ว

    dude, great video!! thank you

  • @nahidbodiz7053
    @nahidbodiz7053 4 ปีที่แล้ว +1

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

  • @phononify
    @phononify 4 ปีที่แล้ว

    Dear mate, I am looking out for a good book about mathematical statistics (not applied one): Do you have a recommendation ? Thanks a lot and cheers from Zurich, Stephan

  • @jorgemercent2995
    @jorgemercent2995 4 ปีที่แล้ว +1

    @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

  • @sankhanilnayek9345
    @sankhanilnayek9345 2 ปีที่แล้ว

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

  • @ankushsharma1388
    @ankushsharma1388 7 หลายเดือนก่อน

    great job

  • @zahramanafi4793
    @zahramanafi4793 3 ปีที่แล้ว +1

    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.