Statistics 101: The Covariance Matrix
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- Опубликовано: 7 авг 2024
- Statistics 101: The Covariance Matrix
In this video, we discuss the anatomy of a covariance matrix. Unfortunately, covariance matrices are often skipped over in intro stats courses. However, they play a very important role in disciplines such as finance and in other areas of business such as statistical process control. They can also make tedious calculations much easier. Excel does something strange with covariance matrices so I also explain that at the end. Enjoy!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
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Brandon
Thank you for your priceless contribution!
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I did not see that wholesome intro coming... But it was really welcome :)
I really needed that short motivational part in the beginning. Thank you!
I watched this video to study for my stats 2 final... I was so happy to hear some very kind words of encouragement at the beginning. Teachers like you who care about their students (or in your case, just all students in general) are a treasure for this world. Thanks for being part of that amazing group of people who make the world a better place through caring education.
Finally someone who is fluent in both stats and English ! Please keep making videos
I'm only one minute into the video and I already have to thank you for this. So many people get down on themselves for not understanding a concept without realizing just how far they've come. Thank you for being so positive! We need more people like you.
I really like that you give some positive words in the beginning. You have no idea how much that actually helps boost my confidence! :)
Your pep talks, and I don't use that word to trivialise your intentions, are very encouraging. They have the quality of being uplifting by not being condescending. My ambition is to be a qualified teacher in the next 2-3 years and I really, really hope I can learn to express things as clearly, and positively, as you do sir.
did you end up becoming a teacher?
This is the best intro ever..,
Just what I needed to hear, at the right time and in the right place.
Hi,
As a worker in the field, who has been out of statistical analysis for about 15 years, I found you videos (and I've watched over 20 of them) very clear, concise, and helpful. Your videos are much clearer than most of my statistics books.
Thank-you very much for the time and effort to make these videos and making the statistical analysis so clear.
Thank you for actually caring about teaching and education. It makes all the difference and I've forwarded and shared these videos with my classfellows.
Thank you so much for your encouraging words and for making this confusing subject easier. No one takes the time to explain like you do.. you are truly a teacher. Thanks again
How long has it been since I heard such encouragement!
"Saruman believes it is only great power that can hold evil in check, but that is not what I have found. I found it is the small everyday deeds of ordinary folk that keep the darkness at bay… small acts of kindness and love."
@resal81 Hello! Thank you for watching and for your question. Covariance, correlation, and regression are all based on a matching concept for each variable. For example in this video, the returns are "paired" by month. If we were doing a height/weight analysis for people, the height/weight pair would be for the same person. The pair order does not matter so long as they remain a pair. Hope that helps! All the best, B.
This is really a great video, the best statistic teaching channel I've came across so far. Looking forward to watch your next videos
The intro was as wholesome as it was welcome! Brilliantly explained and very clear - thank you very much!
Hi, The one thing that impressed me most is the quotes that you have used in every video of yours! Needless to say, I am understanding Stats better from watching your videos. Thanks so much.
Kaushik Hatti Thanks so much! Very glad you feel they help your learning. Keep on learning!
Thank you Brandon, I was struggling with this concept in my finance class, but now it is much more clear as you have provided a 'window'
Hi Brandon, I needed to quickly refresh my knowledge on this for a piece of research and you did a great job explaining! Thanks.
You explain the things so simply and by taking practical examples that the concept becomes crystal clear
Thank you so much for this incredible video ! it was so helpful ! I've never heard such clear an explanation (and the intro was exactly what I needed), so thank you again !
I am working on a self-balancing robot that implements a Kalman Filter. It uses covariance as part of the calculation, and I spent about 5 days trying to learn it to no avail. I completely get it now. I just wish I had found your videos sooner. Thank you!
Oh! I'm engineering student too!
And Kalman Filter lead me here too!
Me too!!
I just want to tell you that you're a very kind man and that your videos are of the highest quality in terms of content.
Oh thank you so much Mohammad! I appreciate you taking the time to learn along with me. All the best, B.
This video saved me so much of time. I couldn't find any text that explains this with such detail. Thank you!!
I am learning it for Factor Analysis and was overwhelmed by the jargon before I saw your covariance and covariance matrix. Thank you!
Thanks a lot 🙏... I just started hearing about all these in my Data mining class and most of my peers seem to know about these and I started freaking out. Your videos are very descriptive and crystal clear. 🙂
Very well explained, exactly what I have been looking for! Thanks
RUclips is my classroom and Brandon is my machine learning mentor.
All I can say is Wow!!
Ok. Let me add these:
I'm currently taking a class on controls and state estimation, where I'm learning about Kalman and Particle filters. The covariance matrix part was not clear to me until now! Thank you!
Man, I liked and subscribed since the start of the video.
It comes from the heart, thank you.
Thank you so much, incredibly useful! Grad student just getting in depth with stats, these videos are incredibly helpful!
Amazing work man. Not new to stats, but I really wish I had started with these lectures. Thanks a lot and keep up with the good work.
The words of encouragement at the beginning were so helpful! Thank you~~
Awesome video! This really helped make this concept clear. I wish my textbooks had such concise explanations.
I literally FAILED multivariate statistics and these videos are making everything clear in preparation for my doctoral COMPS exam! Bradon, simply saying thank you will not suffice. The English language needs another word for your sacrifice and expertise!
Thanks Brandon. Easy to understand and I like the slides.
It just took me to to watch the plot at 7:57 to understand most of the topic. Amazing representation! many thanks
crisp and clear explanation sir! love u!
THANK YOU!!!! it is so great to be able to hear something and understand it. :)
Helped me to finally understand it, and I have an exam in stat soon!! THANKS!!
Hey Brandon! Big fan of all your videos and content for years! Your explanations have been a backbone to my stats learning that I started using during my undergraduate degree and continue to do it till this very day when I am now doing my PhD! Can I request you to make a video on multiple linear modelling. Thanks, Love Akira
More thorough than I needed but was very good.
Thank you for this video, Brandon. I'm taking an online class on robotics, and the instructor just skipped over explaining covariance matrices (whilst teaching something called Kalman Filters).
This video helped a lot!
Hi! Can you please let me know a to which online robotics class are you taking? I want to take up one too!
I spent a whole day to figure out what is covariance matrix , the text book was explained badly. Your video make me understand it within 20 minute.
Thanks so much as I had a lot of questions and this was so helpful.
your videos really rock! Hoping to see time series, and neuronal network! I; ll share them to my mates!
clear, well-explained video!
I appreciate it
I wish all teachers and professors taught as well as you. We'd all be so much smarter than we are.
Great videos!
You mention that covariance values only tell us positive or negative relationship unless it is "at or around zero". Can you give an approximate number range of just how close to zero the number must be to tell us that there is probably no relationship?
hi Brandon, as always you make everything very easy, thanks and congratulations
Thank you for the pep talk in the beginning!!!
Thanks sir! Clear explanation and make a complicated math to easy understand
This is really a good one. You have explained like a primary school teacher which is what beginners want. To have more clarity, you may show the data set that was used, also before going for the computations.
In fact, covariance matrix is obtained by finding the variances between each variable and then grouping it as a matrix. What is the significance of this matrix as compared to looking/analyzing individual covariances?
Suppose the variables are height, weight, wealth and education of 20 people, how do we explain the physical meaning of the covariance matrix obtained from this data?
best intro to a tutorial video ever thanks
Thanks for this! I really like your teaching style :)
Thanks, the intro is what I need right now!
This is a great explanation! Thank you Brandon!
Thank you very much, it's so good explained.! so are all your videos. :)
Thank you so much. You make things so clear.
Love the motivation part. I feel really special now. :D
Very excellent video teaching here. I do not expect learning statistics can be so easy especially the conceptual aspects. Very nice work. For me, if higher level topics could be covered, I will be much appreciating such as logistic regression, count model, odd ratios, chi-square, ...
This is great thanks...jesus you taught me ten times more in the last 45 min than my uni teacher did in the last 9 (and painful) hours!
Thank you for a such a clear explanation sir!
Great!! Very well explained, my applauses
at last i understood what covariance matrix is, thanks Brandon!
Thank you for a clear and easily understood lesson on covariance. request you to teach factor analysis and principal component analysis as well, we will all greatly benefit from such a lesson. Thanks.
I just adore you, THANK YOU, you are the BEST
@outrebeauty Thank you so much for your kind words. I am glad you find them beneficial. All the best in your work and studies! - B
Thanks for the motivation in the beginning.. I have to take mandatory stats and I’m not very good at it
This was very helpful!
Thank you.
thank you very much! really well explained. help me a lot
For the problem at 13:30 - In Excel 2016 you can choose to calculate variance for population (function: Var.P) or sample (function: Var.S)
It's cute to hear the encouragement at the beginning of a stats video.
Mr. Foltz thank you very much for your encouragement and excellent educational video. I wish you the very best.
I am french and I can grasp your very good explanation. That's perfect: to improve both my english ans my stat knowledge.
Constructive comment: you do not need to repeat the upfront message. It's nice, but only needs repeating once or twice. If somene persists and follows the later videos in your series then just tell them to refer to the first intro video for this motivaitonal stuff. Don't underestimate your followers for their ability to be self-motivated. They wouldn't be learning via RUclips if they were not already somewhat motivated. Having said this... you do a better job than I can in teaching via online vids. So keep up the great work Brandon.
Thank you for making this topic clear for me ....
Thank you so much ..I wanted to hear this... Thank you
Thank you very much, so happy with the statistics!
Thank you for this amazing lesson!
Thank you for the encouragement!
Great video! Very helpful.
Much thanks, the figure at 9.21 helps a lot !
Thank you for a very nice explanation!
Great explanation! Great teacher! Great videos!
I was given an assignment to interpret statistical output and couldn't figure out the variance-covariance table. Thank you for this video.
Great videos I'm glad I found you
Thanks for these videos - top quality
Thank you, you’re saving my life! 🤩
Thanks for this and keep up the good work
Thanks, very helpful !
Thank you! So helpful!
The intro really cheered me up!
Thank you so much, really useful,
Ahmed Kinani Thank you Ahmed! I may yet be useful before my time on Earth is up, haha :) Glad you found it helpful. Best, B.
Hello, great job. Don't you stop doing these amazing videos. I have a question : what is your method for analyzing correlation between qualitative and quantitative variables ?
u are so great and ur teaching is amazing please keep going on !!! from Taiwan !!
Why r u so awesome! Best statistic teacher!!!!
Awe thank you so much! I've had many great teachers over the years so I just try to do what they do. Thanks so much for watching and keep on learning!
You are a blessing !!!
Thank you..You are the best.