A brief introduction to leverage and influence in simple linear regression. This video is about the basic concepts, and only briefly mentions numerical measures of leverage and influence near the end of the video.
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@ingritortiz39103 жыл бұрын
I read a whole PDF of many pages from school, and still did not have a clue about this, but in only 7.13 minutes you clarified all of my questions. Thank you very much!
@zexianlee385810 ай бұрын
facts
@GuppyPal Жыл бұрын
Your videos are so clear and concise. I go back to them over and over to review and absorb statistical concepts. Your channel is the best on youtube for that. Thank you!
@zexianlee385810 ай бұрын
indeed
@guzelbora2 ай бұрын
I really started to hate my schools educational system. All it takes is a 2 minutes of the 7 minute video for me the grasp the idea and here I am losing tons of hours staring at meaningless pdfs, shame on absolute zero efforts on teaching. I really appreciate your video! You saved my life and my interest to the statistics by posting this video 11 years ago.
@rizwaanlaher69605 күн бұрын
Literally in the same boat as you
@ninjaWarriorDad29011 жыл бұрын
just finished watching over 60 odd some videos. This has helped me through your course a huge amount. Great job with the videos and please keep up!
@nathankomer86996 жыл бұрын
On point as always. One of my favorite and one of the best statistical instruction sources out there! Thanks a lot!
@jbstatistics5 жыл бұрын
I'm glad to be of help!
@simplemente_humano2 жыл бұрын
Excellent mini-course. Thank you for all your insights and hard work!
@abuyusufansari66206 жыл бұрын
Once upon a time, I went to University to learn leverage and Influential points. And I became history then. This time it has perfectly stored in my brain. You are awesome.
@Michael0918ify9 жыл бұрын
better then a top 20 uni lecturer.... ffs....why should I go to the uni
@zexianlee385810 ай бұрын
Facts
@sepborn904 жыл бұрын
Thank you for helping me understand a concept that was so woolly before. You are a great teacher!
@kurtschuepfer75487 жыл бұрын
Phenomenal instruction. Thanks!
@jbstatistics7 жыл бұрын
You are very welcome. Thanks for the compliment!
@armansh79784 жыл бұрын
I always follow your videos, and this one was like a phenomenon to me. thank you so much man, indeed. I really appreciate that.
@jbstatistics11 жыл бұрын
You're very welcome! I'm glad it helped!
@galileodelcurto9300Ай бұрын
Excelent video! Great explanation.
@merumomo8 жыл бұрын
This is the answer I was looking for! Great video!
@jbstatistics8 жыл бұрын
+merumomo Thanks!
@francescodimaggio75304 жыл бұрын
This is a wonderful video. Easy to follow and the topic is very well explained . Thanks
@wildgorilla1205Ай бұрын
Great, I finally get it, thanks!
@jbstatistics11 жыл бұрын
I'm glad to be of help. Thanks for the kind words and best of luck on your exam!
@allbluedream6 жыл бұрын
Thanks for the demonstration! Leverage is so much easier to understand now.
@jbstatistics6 жыл бұрын
You are very welcome!
@lisaherzog12514 жыл бұрын
Very clear and intuitive explanation! Thank you!
@heatherbaldwin20997 жыл бұрын
Thank you, this is very well explained. My stats course has no lectures, only readings, so videos like this are really helpful!
@jbstatistics7 жыл бұрын
I'm glad I could help.
@villejunttila14253 жыл бұрын
Very clear explanation of leverage. Thank you :)
@pranavsawant14398 жыл бұрын
You have got one new subscriber. Thanks a lot !!!
@jbstatistics8 жыл бұрын
You are very welcome!
@varunms66258 жыл бұрын
Really well explained all the videos . I didn not understood most of it in lecture but your videos made very easy to understand.
@jbstatistics8 жыл бұрын
+Varun m s I'm glad I could help!
@parastoomohebkhodaei3918 Жыл бұрын
highly informative. thanks a lot
@jbstatistics Жыл бұрын
You are very welcome.
@hwy1339 жыл бұрын
Thank you very much. This is very helpful. The whole playlist is perfect.
@jbstatistics9 жыл бұрын
You are very welcome. I'm glad you found it helpful!
@hwy1339 жыл бұрын
jbstatistics Do you have videos on multiple regression and building multiple regression models?
@jbstatistics9 жыл бұрын
hwy133 Not yet. I'm hoping to get to that at some point in the future. Cheers.
@bhavikdudhrejiya44784 жыл бұрын
easy way to explained..appreciated
@hichamitani64332 жыл бұрын
thank you excellent nexplanation
@user-sh3ho1nr8o6 жыл бұрын
Thank you so much. Respect once and for all
@jambob73095 жыл бұрын
You really helped me out here. thank you!
@reachDeepNeuron7 жыл бұрын
awesome video... 2 questions. 1) eliminating such high influential and leverage points can't this lead to overfitting problem ? 2. But if my managment want the estimates for those values (obserations) eliminated , what suggestions can I make ?
@ramandeepsingh41557 жыл бұрын
@jbstatistics Such a great instructor you are when it comes to statistics !!! Well done man !!! and keep on sharing these amazing videos !!!
@jbstatistics7 жыл бұрын
Thanks for the compliment!
@leahsimoneau63757 жыл бұрын
jbstatsistics, bless your soul. Your videos are saving my ass in my stats class!! Thanks for making these great videos!
@jbstatistics7 жыл бұрын
You are very welcome!
@sanjaykrish87194 жыл бұрын
Wowww... you are great
@sepideh1111 Жыл бұрын
thanks , great video
@msmushrum5 жыл бұрын
Excellent! Thank you!
@jbstatistics5 жыл бұрын
You are very welcome!
@gourabbiswas6961 Жыл бұрын
Thank you
@jbstatistics Жыл бұрын
You are very welcome!
@asminaaktar2612 жыл бұрын
Thank you.
@rajsucks9238 жыл бұрын
Hat values or Leverage gauge the influence of the observed value of outcome variable over predicted values. What does it mean??
@melaniemartinez68052 жыл бұрын
Thank you so much!
@jbstatistics2 жыл бұрын
You are very welcome!
@couragee12 жыл бұрын
thank you!
@millamulisha7 жыл бұрын
Can I use leverage in X multiplied by leverage in Y to make a useful measure of Influence? Seems like a reasonable thing to do, no?
@zinniawong41468 жыл бұрын
clear and awesome! thanks!
@jbstatistics8 жыл бұрын
You are welcome!
@QN0010 жыл бұрын
Saved my life.
@officegeek26867 жыл бұрын
Good visual explanation only you forget to mention that influence = leverage * discrepancy. Discrepancy is the distance of the Y value to the line. (Studentized residuals; Cook's distance) Anyway, keep up the good work!
@jbstatistics7 жыл бұрын
Thanks for the feedback. I didn't forget to mention that -- I intentionally brought it up in only a loose way (describing it with a visual illustration), as at the point I cover this in an introductory statistics course students won't have been introduced to studentized residuals, Cook's distance, or measures of leverage. Formally describing Cook's distance, along with its expression as a function of the studentized residual and leverage, is far beyond the scope of this video. Cheers.
@iitgradtutor76925 жыл бұрын
Every text book says that an outlier along X has more influence on the regression line. Hence such a point is called an Influential point. But the following example clearly shows that an outlier along Y has more influence than an outlier along X. Best fit line through (-1,-1), (0,0), (1,1) is y = x. Including an outlier along Y, the best fit line through (-1,-1),(0,0),(1,10) is y = 5.5x + 3. Including an outlier along X, the best fit line through (-1,-1),(0,0),(10,1) is y = .1487x - .446. Am I missing something? Thanks in advance for your help.
@jbstatistics5 жыл бұрын
There's quite a bit to this, and it's tough to give a complete answer to this in a comment. First, points that are extreme in X have high *leverage*, but are not necessarily influential. If a high leverage point falls very close to the overall pattern, then it will not have much influence. If a high leverage point has a Y value that falls far from the overall pattern, then the point will be very influential. As I describe in the video, influence depends on both leverage and how extreme the Y value is. In the situation you describe, each of the changes result in a point that are extremely influential. If you plot it, you will see that (visually) the magnitude of their influence on the line is similar. However, if we calculate Cook's Distance (a commonly used measure of influence), point 3 has a *much* higher value in the scenario where X is also extreme. (In the original line, none of those points have any influence at all -- the regression line would be the same if any single point were removed.) One reason for this is that the variability of the estimators depends on the variance in X. (Very loosely, if the X's are spread farther apart, with greater variance, than it would be harder to pivot the line.) So, once the much lower variability of the estimators is taken into account, that point is much more influential.
@iitgradtutor76925 жыл бұрын
@@jbstatistics Thank you very much for your response. Can you please make a video on this question? Then the confusion will be totally cleared.
@death__ray8 ай бұрын
Very interesting
@Dutchtraordinary_Living9 жыл бұрын
Brillliant!
@lillianli943610 жыл бұрын
so useful,thanks a lot!
@jbstatistics10 жыл бұрын
You are very welcome Lillian!
@jacarilar9 жыл бұрын
Your voice is cool
@jbstatistics9 жыл бұрын
Thanks!
@ckb10010010011 жыл бұрын
Thanks it really helps!!
@user-dp5kv5kj9z7 жыл бұрын
Thank you so much. It is really helpful to me :D
@jbstatistics7 жыл бұрын
You are very welcome.
@jbstatistics10 жыл бұрын
I'm glad to be of help QN00!
@PotatoWoW5 жыл бұрын
You've saved my fucking life
@EarthEuphoria3 жыл бұрын
Thank you ))))):
@electriclungi31855 ай бұрын
better than gujarati
@nakulgupta1827 жыл бұрын
perfect
@jbstatistics7 жыл бұрын
Thanks!
@neliabryan59016 жыл бұрын
why go to uni when youtube is better?
@tchen49556 жыл бұрын
you don't explain the formalue... apart from that it's good
@jbstatistics6 жыл бұрын
This video is intended to be a light introduction to the topic, one appropriate for an introductory statistics class. The mention of the numeric measures of leverage and influence were intended to be just that, a mention. At some point, I'll try to get videos up explaining that part in greater detail.