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!
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!
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.
Its one of the best channel to learn statistics in a funny way but at the same time doing no compromise with theoretical understanding... Watching from India
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.
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.
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...
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!!
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.
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.
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
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!
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
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.
@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
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.
Thank you so much for your video! This is very much helpful! Could you answer my questions? I still have hard time understanding why the q value goes to infinite at 0. If it's z^2, shouldn't it be finite since z has also a finite value at 0? I also want to know why the max value of q2 is smaller than that of q1(which is infinite). In my intuition, z1^2+z2^2 should be bigger than z1^2 however small the values are. I think I'm definitely missing something out. I'll appreciate it so much if you could answer them :)
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.
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.
the plot of a single chi square RV approaches infinity at X^2 = 0. Why is that when chi square RVs are added, the resulting pdf plot seems to be at a finite value at Y= 0, where Y = the sum of these RVs. Also, various sources say that a chi square RV with 2 dgf is actually an exponentially distributed RV. Chi square RVs are generally associated with distribution of variances whereas exponentially distributed RV is often associated with the probability of time until next event. So, how do we resolve these two seemingly different interpretations so that they qualitatively describe the same thing? I'm not looking for a full technical mathematical proof but instead a general qualitative intuition.
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.
I haven't seen it spelled out anywhere in these tutorials that arithmetic on random variables (such as sums of distributions, squaring a distribution etc., which are quite relevant here) DO NOT behave like the point-wise arithmetic on PDF's of those random variables! For example, after hearing that the Chi-Squared distribution with DF=1 is "a square of the Normal distribution", one might go to Google and type exp(-x^2)^2 to see if it's true. That is absolutely not the correct distribution, as we can witness by comparing it to the one seen on this video. Zedstatistics, I'd love to see a video about this!
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?
When you say "a single value from a normal distribution which has been squared" what do you mean exactly? Are you saying it's not the squared version of the entire distribution?
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!
Hi Man, Unfortunately I was unable to follow why 3 degrees of freedom have a larger value across 1. something. Standardized Normal distribution have the highest value at 0, then once we square the values 0 will remain the highest and adding would still make the value across 0 highest, how come the change in curve? Also, as per my understanding if I square a distribution, it means squaring the Random variable only and the underlying probability for it shall not change. @zedstatistics Need your help.
Quick Q : what do you mean by 1 or 2 selections or 3 selections from a normal distribution ? Don't we just take all or a sample of n data points from a normal distribution and add their squares, get the probabilities and plot a chi2?
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
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!
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!
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.
Its one of the best channel to learn statistics in a funny way but at the same time doing no compromise with theoretical understanding... Watching from India
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.
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.
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...
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!!
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.
perfect channel to LEARN statistics.
People just mug things up but there is so much depth to it. Interesting
The way you explain things in details and intuitively! Much love to you from Bangladesh sir ❤️
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.
OMG thanks man! After 3 years since I was first introduced to the concept it finaly starts making sense
You are explaining everything so understandable like teaching to a kid, so clean. Thanks a lot.
I think you might be my favorite person that I don't know. Keep these videos coming!
the best statistic channel.
Indeed.
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
Please don't stop making this awesome videos.Thank you.
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.
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
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!
Thanks
Thank god the chi square video is up.
Looking forward for the remaining distributions as well.
This spirit is exactly what everyone wants in a teacher
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
very upbeat way to learn statistics, with a sense of wonder and curiosity, and nice background music! pleasure!
this is the most detailed explanation about chi-square distribution, thank u zed
Thanks!
You're welcome, DJ!
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
How did your statistics class go?
Thanks for the great explanation of why E(z) is equal to df
I could not wrap my head around that before your explanation.
Спасибо!
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.
intuition is what almost all students lack when they are treating statistics thanks for improoving our intuition
thank you sir , lots of love from India.
I'm still at 1/3rd of the video! Damn the explanation is awesome! Appropriate speed and the questions explained matching with our thoughts!
this guy's great, it's like a more technical version of statquest
16:50 caption was hilarious. Thanks for amazing video
17:52 Woohoo!! Cheers Justin, you make statistics fun, unlike the statistics professor at our college.
@15:25 from where did you find the value of V(Z1)2 as 2?
wow what a beautiful explanation, I am so happy I found your channel😊😊
Hey! It is very good that intuition is given importance in your videos... Very nice to see that
This is great! Thank you! And yes please don’t stop making these videos!
thanks a lot for your clear explanation 🎉 best teacher ever
Best video on Chi-square distribution... Thanks for clearing my whole concept.... #studentfromIndia
Thanks for taking the time to make these videos.
Amazing video, focusing on why... You are a great teacher.
Very, very, very good! Congrats! Prof. Vidal, school of medicine, rio de janeiro, brazil.
Awesome vid! Just the intuition I was looking for.
Your videos are really easy to understand. Thank you.
@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
Thanks for the video. Could you please talk about copula and negative extreme dependence in the next video? Multivariate stat is killing me...
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.
Request you to provide Lognormal Distribution video.
Thank you for doing what you are doing.
its so nicely explained that i wanna explain it to someone else now
thanks this has given me a better idea of what is going on
You are such a great teacher. Thank you so much.
Thank you so much for your video! This is very much helpful! Could you answer my questions? I still have hard time understanding why the q value goes to infinite at 0. If it's z^2, shouldn't it be finite since z has also a finite value at 0? I also want to know why the max value of q2 is smaller than that of q1(which is infinite). In my intuition, z1^2+z2^2 should be bigger than z1^2 however small the values are. I think I'm definitely missing something out. I'll appreciate it so much if you could answer them :)
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.
Phenomenal work as always, thank you!
Thanks for this wonderful video! Love the intuitive narration
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.
Great explanation, thanks, cleared my mind on the subject🏆🏆🏆
Amazing video!
Much love from India
the plot of a single chi square RV approaches infinity at X^2 = 0. Why is that when chi square RVs are added, the resulting pdf plot seems to be at a finite value at Y= 0, where Y = the sum of these RVs. Also, various sources say that a chi square RV with 2 dgf is actually an exponentially distributed RV. Chi square RVs are generally associated with distribution of variances whereas exponentially distributed RV is often associated with the probability of time until next event. So, how do we resolve these two seemingly different interpretations so that they qualitatively describe the same thing? I'm not looking for a full technical mathematical proof but instead a general qualitative intuition.
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.
You are amazing. Truly. Thank you
Im Indian too and I appreciate your videos.
What's the reason you need to square the z value for chi distribution from the first place? I try to gist the concept.
the 1 represents the standard deviation in N(0,1)
great amazing way of explanation. Very simplified and unique👌💝💥💥
very helpful and intuitive. amazing work !!
Wow, Chi-square distribution after a Long time no see....:)
Thank you Zed🩷😭 you're my saviour
knew it my guy is here to help me out!!
Plz make a video on F dustribution and F test as well
Nice way explaining thing in intuitive way that mind easily assimilate.
Thanks so much. Best explanation ever
We need to practice this and other stuff. What book do you recommend?
My university could just play this guy's video in a big auditorium and that'll be more worth the tuition.
I haven't seen it spelled out anywhere in these tutorials that arithmetic on random variables (such as sums of distributions, squaring a distribution etc., which are quite relevant here) DO NOT behave like the point-wise arithmetic on PDF's of those random variables! For example, after hearing that the Chi-Squared distribution with DF=1 is "a square of the Normal distribution", one might go to Google and type exp(-x^2)^2 to see if it's true. That is absolutely not the correct distribution, as we can witness by comparing it to the one seen on this video. Zedstatistics, I'd love to see a video about this!
Thank you for this playlist. Very informative.
I would love a video why SS/sigma^2 are chi squared distributions for SS_t, SS_r, SS_res
Your vedios are amazing...
Can you make a playlist on estimation
This is awesome video... Thanks for making
Wowww.... Just wowww... Thanks man for these awesome videos. Really appreciate.
@11:20 Helppp! i still dont get why the mean is K. Can you please maybe rephrase it for me? Thanks
Your are helping many students
Awesome video! great help for my coming up exam.
p.s is that Australia accent?
increadiblr place for incredible people like you
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?
Sooo Nice video!! Thx for your extraordinary work!!!
Timing is also perfect lol I just started this and now it’s here from you hmmmm
professor can u tell me why there is a need of z square? what is the intuition behind the chi square distribution
Hey zed what a wonderful presentation thanks for this. Continue to make more stats and prob videos
This is soo helpful
Thankyou so much🙏
When you say "a single value from a normal distribution which has been squared" what do you mean exactly? Are you saying it's not the squared version of the entire distribution?
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!
Hi Man, Unfortunately I was unable to follow why 3 degrees of freedom have a larger value across 1. something. Standardized Normal distribution have the highest value at 0, then once we square the values 0 will remain the highest and adding would still make the value across 0 highest, how come the change in curve? Also, as per my understanding if I square a distribution, it means squaring the Random variable only and the underlying probability for it shall not change. @zedstatistics Need your help.
Thanks!! you are amazing teacher👍👍
Quick Q : what do you mean by 1 or 2 selections or 3 selections from a normal distribution ? Don't we just take all or a sample of n data points from a normal distribution and add their squares, get the probabilities and plot a chi2?
thank you so much for your videos! love from india