Maximum Likelihood For the Normal Distribution, step-by-step!!!

Поділитися
Вставка
  • Опубліковано 24 гру 2024

КОМЕНТАРІ • 1,4 тис.

  • @statquest
    @statquest  4 роки тому +135

    Correction:
    2:39 I said likelihood=0.03 for mu=30, but mu=28 is in the equation.
    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

    • @Leo-sh1ih
      @Leo-sh1ih 4 роки тому +12

      I think another error at 2:13 : shouldn't it say "likelihood of the curve given these data" rather than "likelihood of the data given this curve"?

    • @hengdao1507
      @hengdao1507 3 роки тому +1

      Thank so much 🙏🏻🙏🏻

    • @jungjunkim9824
      @jungjunkim9824 3 роки тому +1

      error bammmmm

    • @fahadfardan
      @fahadfardan 2 роки тому

      I think the 32 is not right at 13:47. How it was 32 then became x ?

    • @statquest
      @statquest  2 роки тому

      @@fahadfardan x_1 was defined as 32 at 5:52.

  • @sergior.m.5694
    @sergior.m.5694 4 роки тому +404

    This channel, along with 3blue1Brown make me feel like a mathematician who is actually discovering this techniques for the first time in a logical way, rather than just handed to me through some obscure formulas that one just take for granted, because most academics forget about the importance of visual intuition.

    • @statquest
      @statquest  4 роки тому +32

      I'm glad the video is helpful. :)

    • @ianstats97
      @ianstats97 Рік тому +13

      statistically, academics cannot teach 99% of the time. Certainly a very skewed distribution

    • @ian-haggerty
      @ian-haggerty 9 місяців тому

      Amen.@@ianstats97

  • @freshprinceofPersia
    @freshprinceofPersia 5 років тому +418

    I'm a teaching assistant in stats at both UCL and Birkbeck (University of London), and I can say, hands down, I have rarely ever seen teaching as phenomenal as this in stats and maths. I wish I had access to your videos when I was learning, and struggled with all these topics (with teachers who didn't have anywhere near as as much commanding knowledge, and tended to over-complicate things), and not only, now, learn from you how to teach effectively (and obviously, still, a lot of maths & stats :). You don't begin to appreciate how much in-depth understanding a teacher has, to make stats&maths so seemingly simple and quick to swallow, until you start teaching these things yourself. Bravo! (This is one of my few comments on anything online ever)

    • @statquest
      @statquest  5 років тому +17

      Thank you so much!!! :)

    • @vikranttyagiRN
      @vikranttyagiRN 4 роки тому +3

      Thank You for acknowledging Josh's absolute awesomeness

    • @haleemamisal2432
      @haleemamisal2432 4 роки тому +2

      lol im a phd candidate at imperial and have no one teaching me :( . What is it with Russel Group

    • @freshprinceofPersia
      @freshprinceofPersia 4 роки тому +8

      ​@@haleemamisal2432 Unless you end up in a good group with either a supervisor who is still active in getting their hands dirty with experiments and etc., or strong postdoc(s) in your group (edit: who are obliged/willing to help), PhD studentships can be like walking in a pitch-dark forest with your hands tied behind your back whilst having overdosed on hay-fever medication. It's ridiculous! I would take a strong and/or enthusiastic group/leader in a shitty uni over a shitty group/supervisor at a Russel-group/famous-department/uni any day.

    • @sudiptabasu96
      @sudiptabasu96 4 роки тому

      @@statquest Great videos. Thanks a lot. What you really do to create these animations and graphs.

  • @denisepatrick5547
    @denisepatrick5547 6 років тому +392

    Some heroes do not wear capes......You are the real MVP!

    • @statquest
      @statquest  6 років тому +10

      Thank you! :)

    • @shalompatole5710
      @shalompatole5710 5 років тому +4

      Absolutely man. AMAZING VIDEO. There is so much effort and you have done a great job explaining a concept I was struggling to understand.

    • @wennie2939
      @wennie2939 3 роки тому

      Totally agreed. Josh is the BEST EVER!

  • @shalompatole5710
    @shalompatole5710 5 років тому +89

    Give this man some Nobel Prize already. Peace, Economics even Literature will do. This sort of genius shouldn't go unrewarded.

    • @statquest
      @statquest  5 років тому +7

      Thanks! :)

    • @deepanshhh
      @deepanshhh 4 роки тому +2

      And if you can, please support by donating!

    • @liezeltamon6354
      @liezeltamon6354 4 роки тому +3

      Dont forget music! 😂

    • @menensa
      @menensa 3 роки тому

      @@deepanshhh Amen

    • @jabroomunda
      @jabroomunda 2 роки тому

      True for assisting nobel with BAM BAM .. BAM !

  • @dahailiu2067
    @dahailiu2067 4 роки тому +39

    OMG again this is the best MLE explain I've seen ever in my life.

  • @akjdl5734asdf
    @akjdl5734asdf 6 років тому +84

    Joshua you are a hero! Truly a man of the people. Bless you kind sir

    • @statquest
      @statquest  6 років тому +1

      Hooray!!! Thank you! :)

  • @olivierphilippe8686
    @olivierphilippe8686 5 років тому +23

    I am amazed how you teach these concepts and make them easy to understand. It is the first time I fully understand the standard deviation. Having this 'Eureka' moment was only possible because of your effort and your skills! You are really good! Thank you so much!

  • @chyldstudios
    @chyldstudios 5 років тому +21

    One of the best descriptions of Maximum Likelihood ... in the UNIVERSE

  • @CatherinePryde
    @CatherinePryde 2 роки тому +5

    Truth is even after years of working extensively with data, it is not only always informative to go back studying the most basic concepts possible in Statistics but also a real relaxing moments to listen to you teaching. It takes my head off overcomplicated matters, cleanses my reasoning and lets me walk out of this 20-minutes coffee break feeling more refreshed than any caffeine intake. Thank you !

    • @statquest
      @statquest  2 роки тому

      Hooray!!! Thank you very much! :)

  • @vipulvivek3874
    @vipulvivek3874 4 роки тому +22

    I was reluctant to start this video, seeing its length. I thought it will be some other university guy explaining it mundanely. I am glad I clicked. Even more glad that I was wrong.

  • @ritardstrength5169
    @ritardstrength5169 9 днів тому +2

    Thank you sir. I just suffered through a Math Stats class at a well-regarded graduate program that never explained MLEs as well as this short video.

  • @parambole8671
    @parambole8671 5 років тому +4

    I spent 8 grand to learn ML in college and yet didn't truly understand what MLE is. Learned it for FREE on StatQuest. You Rock

  • @UltraXan
    @UltraXan 4 роки тому +2

    Jesus H-Bar, I wish I had math this clear and well explained when I was taking my stats class. So many profs just skipping lines and jumping ahead in their proofs, expecting us to fill in the blanks. Now here I am in a robotics course looking at maximum likelihood estimation and this video is giving me the lesson I wish I had years ago. A+, kudos, cookies, high fives... you take it all!

    • @statquest
      @statquest  4 роки тому

      Thank you very much! :)

  • @MohamedKhaled-el7vv
    @MohamedKhaled-el7vv 4 роки тому +4

    If professors in universities explain like that the world will be a better place.......really thank you so much you are awesome

  • @lhansa462
    @lhansa462 5 років тому +2

    I am truly staggered of how well-made this explanation video is. A lot of textbooks don't bother to explain their derivations and proofs, as they consider them to be "self-explanatory". Thank you a lot Mr. StatQuest, I learned more through your videos than in any statistics lecture! Keep up the good work!

  • @bin4ry_d3struct0r
    @bin4ry_d3struct0r Рік тому +6

    Watching a step-by-step differentiation of the Gaussian PDF has been on my to-do list for a long time. Thank you so much for this!

  • @carl6167
    @carl6167 5 років тому +2

    What a hero. It takes a lot of time to do things in such detail that even the worst could still understand everything without having to ponder at why a step is valid !
    GG

  • @lizzzylavender
    @lizzzylavender 2 роки тому +8

    Ahhhhhhh I’m so mad! I found this channel while studying for my stats FINAL and it’s so good. My life would have been so much easier this semester if I had found this earlier!
    You explain things so intuitively so I always understand what is really happening instead of just watching numbers move around completely confused. You’re doing a great thing man, wish I could have been able to use your channel more haha.

    • @statquest
      @statquest  2 роки тому

      Thanks so much and good luck! :)

  • @FootballRecaped
    @FootballRecaped 10 місяців тому +1

    I should have paid £12750 for this video rather than for my university! I have been reading slides and watching the lecture recordings from my university for over a week, but I couldn't understand. I understood everything clearly in this 20-minute video in one go. RESPECT!!!

  • @carylannebeltran
    @carylannebeltran 3 роки тому +7

    You are a true hero!! Especially now with online classes and everything. Thanks soo much! This lesson was super intimidating to me, but learning from this video has made me realize it's not that hard at all. Good teaching makes miles of difference. Thank you so much!!

  • @beniaminradomir9798
    @beniaminradomir9798 Рік тому +1

    Holy this videos must take lots of effort, but it is so worth it.
    If conveying a subject in a clear manner is the main goal, this dude is a 10/10

  • @Noobsaucer
    @Noobsaucer 3 роки тому +3

    Man, I really really hope from the bottom of my heart that you teach actual classes somewhere IRL too. You could have been the the difference between me failing out of university because of math and stat and finishing it with flying colors. Too bad I only found you now.

  • @HieuNguyen-so3et
    @HieuNguyen-so3et 2 роки тому +1

    Hands down thank you! This video with its visual explanation probably just saves me from enormous self-doubt and dropping out of my degree. I wish profs would put in the time to give you such illustration to help you understand, rather than pages of words and functions that confuse you even further.

  • @nightravens1953
    @nightravens1953 3 роки тому +3

    I'm a current graduate student in a Machine Learning class, and I just wanted to take the time to say thank you from the bottom of my heart! It's online (due to the pandemic) and my professor's videos are honestly hit or miss (and his MLE video for me was definitely a miss....) The example REALLY helped me wrap my head around what we are doing. Thank you so so so so much... definitely donating (or buying some merch lol) as soon as I'm able!

    • @statquest
      @statquest  3 роки тому +1

      Thank you very much! I'm glad my videos are helpful. :)

  • @ritik9799
    @ritik9799 3 роки тому +1

    Words can't describe how awesome this video is !!!! I literally stood up and clapped at the end of this video. Request all that benefit professionally from StatQuest's videos to kindly support the channel via means listed in the description. God I love this channel !!!!

    • @statquest
      @statquest  3 роки тому

      Thank you so much 😀!

  • @bobbywu7701
    @bobbywu7701 2 роки тому +4

    This explained what I tried to learn in our uni course for 3 weeks in just 20 minutes. If the teacher just showed the class this video there wouldn't be any confusion anymore

  • @juansebastianpaboncubillos1024
    @juansebastianpaboncubillos1024 5 років тому +4

    What a good video. I took me 7 year to understand it properly. U kicked out of the park.

    • @statquest
      @statquest  5 років тому +1

      Awesome! Thanks! :)

  • @WhatTheGuiz
    @WhatTheGuiz 5 років тому +207

    wtf man
    how are you not president yet

    • @johnjenkins4636
      @johnjenkins4636 4 роки тому +5

      I thought the U.S always choose the craziest to be president.

  • @MrOlisiko
    @MrOlisiko 3 місяці тому +1

    I rarely leave comments, but this was just so greatly explained that I had to express my appreciation for the video creator. Well done!

  • @อนรรฆวรรณภาสชัยยง

    This Channel keeps getting better and better.

  • @yatta4059
    @yatta4059 5 років тому +1

    I involuntarily watched this video with my mouth wide open because I couldn't believe that within 5 minutes into the video I understood what three 3 lectures+script couldn't explain ;) Keep up the good work, Josh

  • @eriboyer2229
    @eriboyer2229 Рік тому +4

    Thank you Josh for this amazing StatQuest. It is people like you who keep learning to be very fascinating.

  • @MyGaurav12
    @MyGaurav12 3 роки тому +1

    This is the most intutive yet thorough explaination of MLE I have ever seen. Thank You so much Dr. Starmer.

    • @statquest
      @statquest  3 роки тому +1

      Thank you very much! :)

  • @Learner_123
    @Learner_123 5 років тому +4

    Classic. I have seldom seen a teacher taking his students/audience from the base of the hill to the top in such a smooth fashion! Excellent. P.S. I can only pity on those who disliked this video, better get admitted into kindergarten :)

    • @statquest
      @statquest  5 років тому +5

      I love this comment!!! Thank you. I love the analogy - some teachers just yell down from the top of the hill, other teachers have heard what the top of the hill is like, but have never been there themselves, so they just repeat what they have heard, and other teachers, like sherpas, know the way and are willing to do the trek.
      Also, I think of the "likes" and "dislikes" as a lesson about the world. The "dislikes" tell me that no matter how I try, I can't help everyone. However, the "likes" tell me that if I try really hard, I can help a lot of people - and that's what motivates me.

    • @Learner_123
      @Learner_123 5 років тому +2

      @@statquest Keep up the good work ✌️. Would you please also consider posting a similar video on cramer rao lower bound (CRLB)?

  • @maxipaxi1892
    @maxipaxi1892 11 місяців тому +1

    What an incredible way to show how the formulas for the mean and standard deviation of a normal distribution are found! Videos like these make me enamored by statistics all over again

  • @bill_nj8543
    @bill_nj8543 4 роки тому +4

    These videos on MLE are really wonderfully thought out and presented - very helpful in getting an intuitive handle on this important topic.

  • @MohammedBakheet
    @MohammedBakheet 5 років тому +2

    You just explained what my teacher couldn't in three lectures, I wholeheartedly thank you, keep it up

  • @jonibeki53
    @jonibeki53 6 років тому +14

    Man, you just explained my whole lecture topic clearly and fast. Thank you!

    • @statquest
      @statquest  6 років тому +1

      Wow! That's awesome! Thank you! :)

  • @thai19995
    @thai19995 4 роки тому +1

    Struggling with the Pattern Recognition course for a while.
    You, sir, are the true hero!

  • @solaweng
    @solaweng 5 років тому +6

    Every time when I have a new stats related course, I always use statQuest for a quick review. Cannot recommend more!

  • @coldnlonely
    @coldnlonely 5 років тому +2

    Your ability to explain this so well gives me goosebumps.

  • @marc-antoinediot4315
    @marc-antoinediot4315 4 роки тому +3

    That is absolutely amazing : I'm from France so English isn't my native language, though I still understand it better than with my french teacher lessons! Hundred thanks

  • @ezequielzion
    @ezequielzion 4 роки тому +1

    you seriously have no clue how much this video helped me bro, plus i love how you put in some humor so it doesn't become boring. you're amazing man :)

    • @statquest
      @statquest  4 роки тому +1

      Thank you very much! I'm glad the video was helpful. :)

  • @jiji89960
    @jiji89960 4 роки тому +13

    the *CHAIN RULE* dramatic atmosphere intensifies

  • @leosutcliffe8547
    @leosutcliffe8547 2 роки тому +1

    I'm 2nd year Engineer stumbling through this stuff all semester, the lectures my professors have recorded just make me feel like a total idiot and really fuel the imposter syndrome... So thankyou so much for explaining so well! It's not only teaching me the stuff but it's given me a bit of confidence back!

    • @statquest
      @statquest  2 роки тому

      Thanks! I'm glad the videos are helpful.

  • @777bloomingdale
    @777bloomingdale 6 років тому +11

    Dear StatQuest, Great explanation. Please do video on MCMC metro polis Hastings and Gibbs sampling.

  • @riddle-me-ruben
    @riddle-me-ruben 5 місяців тому +1

    By far the Greatest explanation on UA-cam. No debates.

    • @statquest
      @statquest  5 місяців тому

      Thank you very much!

  • @ashumohanty566
    @ashumohanty566 5 років тому +3

    you give me clarity about likelihood function thank u sir

  • @dsagman
    @dsagman Рік тому +2

    That was amazing. I did not see the surprise twist ending if mean and standard deviation coming till you got there. I was a math major and always avoided stats because my classmates said the theorem proofs were so hard. Your videos illuminate those dark corners.

  • @thongnguyen1292
    @thongnguyen1292 6 років тому +3

    Triple likes!!! Can't wait to see videos on more advanced concepts

  • @carlosdanielgt
    @carlosdanielgt Рік тому +1

    Hardly comment on UA-cam videos but this one really deserves a big thank you. This material is pure gold! You made me understand concept's as never before.

  • @kiveynen
    @kiveynen 6 років тому +4

    10 / 10 presentation skills :D. Love it.

  • @yashchudamanpatil7477
    @yashchudamanpatil7477 3 роки тому +2

    man u earned my respect i almost got cleared all my doubts in this covid semester since cant ask doubts to prof lively

  • @XploreWithShishir
    @XploreWithShishir 5 років тому +4

    how can one make things so easy....you are great.

  • @donnymac575
    @donnymac575 3 роки тому +1

    This is the best/clearest explanation of MLE I have ever heard.

  • @abhisheksrivastava9970
    @abhisheksrivastava9970 5 років тому +12

    The absolute pleasure of watching this video can only be attained by sticking to the playback speed of 1.0

    • @francescogiacomelli403
      @francescogiacomelli403 5 років тому +1

      Modern day true compliment in education

    • @malharjajoo7393
      @malharjajoo7393 5 років тому

      2x is the way to go kid

    • @JMarwah
      @JMarwah 4 роки тому

      @@malharjajoo7393 But then you spend less time enjoying a StatQuest video, and that's no fun. You can't 2x something this beautiful.

  • @stallman3738
    @stallman3738 2 роки тому +1

    After reading several pages and books, this is the first time I really understand that this is. Thanks alot

  • @PavanKumar-ef1yy
    @PavanKumar-ef1yy 6 років тому +3

    Excellent teaching

  • @goldenhawk1925
    @goldenhawk1925 10 місяців тому +2

    This is one of the most beautiful videos I have ever seen on youtube. Thank you for what you do

  • @sumantabanerjee9728
    @sumantabanerjee9728 6 років тому +15

    at 2:42 you said likelihood=0.03 for miu=30 but miu=28 which was used in the equation.

    • @statquest
      @statquest  6 років тому +8

      Yep, that's a typo.

  • @josefsieber8377
    @josefsieber8377 2 роки тому +1

    I had been wishing for a broken down video of the process of logging the likelihood function for a while and I just found this. Thank you! This is awesome and one of the most helpful things ive seen all year

  • @fabianzh5577
    @fabianzh5577 4 роки тому +7

    Bruh you're hilarious. You must be popular in Stats Land!

  • @xiajing6009
    @xiajing6009 5 років тому

    Don't believe there are thumbs DOWN for this video!!! Super fan for this series!!! HERO!!!

  • @undine8750
    @undine8750 2 роки тому +3

    I can't believe we just did all that and ended with like "2 = 2."

    • @statquest
      @statquest  2 роки тому

      I know! It's a little bit of a bummer. But now you know why we can use the mean and standard deviation.

    • @undine8750
      @undine8750 2 роки тому +1

      @@statquest nahh not a bummer is just kinda funny

    • @undine8750
      @undine8750 2 роки тому +1

      I did well on my data science test yesterday thanks to this

    • @statquest
      @statquest  2 роки тому

      @@undine8750 Congratulations! TRIPLE BAM! :)

  • @raa__va4814
    @raa__va4814 2 роки тому +1

    this is by far the cleanest explanation on this topic EVER

  • @sonicking12
    @sonicking12 6 років тому +13

    Can you talk about the EM algorithm? Thanks.

    • @statquest
      @statquest  6 років тому +10

      Yes!!! I'll try to get to it as soon as I can.

  • @BLooDy21HD
    @BLooDy21HD 8 місяців тому +1

    Watching videos like that make me wonder why my math teachers were so bad at explaining even the most basic stuff like (a+b)^2 and went on by saying: it works because i say so.
    Not surprised so many people suck at math and most of them have to rely on online videos to explain stuff.
    Thank you!

    • @statquest
      @statquest  8 місяців тому

      I'm happy this helped!

  • @raminaassaoui6083
    @raminaassaoui6083 5 років тому +5

    You should sit on the Throne of maths.... I BEND THE KNEE :')

  • @김성준-i5p9f
    @김성준-i5p9f 2 дні тому +1

    This explanation is beyond phenomenal!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @Ahmed000Saber
    @Ahmed000Saber 5 років тому +3

    You are the best.

  • @indie209
    @indie209 5 років тому

    You're the hero Gotham deserves, but not the one it needs right now

  • @riddhimanna3450
    @riddhimanna3450 4 роки тому +3

    everytime you went BAM!! I couldn't help laughing!!

  • @Cld136
    @Cld136 3 роки тому +2

    I have never understand MLE this clear until now in my life. Thanks for excellent video. Subscribed and Liked!

  • @hangyutian
    @hangyutian 5 років тому +25

    "I double checked" Hahaha

  • @James08091980
    @James08091980 5 років тому +1

    Probably the best explanation of the Maximum Likelihood estimator I've ever seen. Well done.

  • @BilalAhmed-ib3yw
    @BilalAhmed-ib3yw 6 років тому +6

    triple BAM!!!

  • @josy4767
    @josy4767 Рік тому +1

    I really felt like you were telling me a bedtime story here, and rewinding was like asking you to go over the good bits. The ending of and the mean, equals the mean, and the standard deviation equals the standard deviation, was a pretty good ending.

  • @farzanehaskari9703
    @farzanehaskari9703 4 роки тому +4

    "chain rule" has a different meaning than what it is used for in this video.

  • @because2022
    @because2022 10 місяців тому +1

    I can clearly see your dedicated efforts to create such amazing content which is explained in depth. Hats off to your commitment. Thank you so much.😀

  • @vatsalamolly
    @vatsalamolly 4 роки тому +1

    I am not a beginner to all this, but still even now sometimes the very basics become muddled. This video has been so helpful! I am definitely gonna be revisiting your channel in the future.

    • @statquest
      @statquest  4 роки тому

      Hooray! I'm glad my video is helpful. :)

  • @Mgggggggggggggggggggggg
    @Mgggggggggggggggggggggg 3 роки тому +2

    Thank you so much for all the hard work you put into the video. Believe it or not! I first watched your video when I was in undergrad. Now I moved to US to do my master’s I’m still here!

  • @silviapetrova8562
    @silviapetrova8562 5 років тому +1

    holy god. one of the few times i had cry from the beauty of math. thank you

  • @minyoonara
    @minyoonara Рік тому +1

    this was AMAZING! i am currently taking machine learning course, and the teacher gave us these formulas to memorize without any derivations. i was looking for something exactly like this :) thank you!

  • @chungyeungvideo
    @chungyeungvideo 4 роки тому +2

    OMG , my feeling just like riding in a roller coaster. when you bring up the formula with derivative, my head start bumping. but when you explain the slope = 0 till the end, it just like riding down the slope and make it so excited. LOL thank you josh

  • @somanshbudhwar
    @somanshbudhwar 3 роки тому +1

    I just can't thank you enough. After college I'll definitely donate to your channel, with my first salary ! I don't understand why my college prof can't explain it simply like this.

    • @statquest
      @statquest  3 роки тому

      Thank you very much! I'm glad my videos are helpful! :)

  • @abdoulayely8284
    @abdoulayely8284 5 років тому +1

    I wish I could like your videos a million times. I barely comment on youtube but I wanted to thank you josh for such incredible resources you are providing to us. You are saving lives out there :)

  • @Tyokok
    @Tyokok 6 років тому +1

    Best math tutorial channel so far on UA-cam !!! Enjoyed the derivation so much !!! Great Thanks!

    • @statquest
      @statquest  6 років тому

      Thank you so much. I'm glad the video was able answer your questions. Any thoughts on stuff you would like to see derived?

    • @Tyokok
      @Tyokok 6 років тому

      actually a lot. LOL. reading statistics recently. cannot think of any particular topic now. once I encounter some problem I will shoot you under comment of your great videos! Again, REALLY APPRECIATE your help!

  • @monoarul_islam_3
    @monoarul_islam_3 3 роки тому +1

    This is the cooooooooooooooolest one by far. My love for josh is escalating exponentially.

  • @anuraggarg1209
    @anuraggarg1209 2 роки тому +2

    Thanks for saving me man! I will promote your channel as much as I can in my university

    • @statquest
      @statquest  2 роки тому

      Thank you very much! :)

  • @rajkmr15
    @rajkmr15 4 роки тому +2

    wow. Never seen someone explaning maximum likelihood to look this ease. Hats off :)

  • @vinhnguyenthi8656
    @vinhnguyenthi8656 3 роки тому +1

    overjoyed, when I was watching your other videos of logistic regression, but I don't understand the pattern in the saturation model. I went back to looking for your videos to see more. I saw this video, thought this might be the knowledge I needed. When I finished watching, it did not match the answer I was looking for at first, but it was an unexpected answer for me.
    oh, all of a sudden you helped me understand the curve Why normal distribution like that is built mathematically, great, thanks for your channel for helping me Understand the difficult knowledge that I always wonder about when studying statistics.
    Thank you so much, I learned a lot from your channel

  • @kallihale5197
    @kallihale5197 29 днів тому +1

    This made so much more sense than everything else I've seen on the subject. Thank you so much.

  • @anitapallenberg80
    @anitapallenberg80 4 роки тому +1

    One of my favourite videos of the whole internet!! ♥
    StatQuest is simply amazing.

    • @statquest
      @statquest  4 роки тому

      Thank you so much!!! :)

  • @MisbahAnwaar1988
    @MisbahAnwaar1988 5 років тому +2

    I was struggling with a research paper n using restricted maximum likelihood estimation for analysis... n this video made me understand the whole thing clearly!!! Bam * infinity!!!

    • @statquest
      @statquest  5 років тому

      Hooray! I'm glad the video was helpful. :)

  • @eemmmaaadd
    @eemmmaaadd 6 років тому +1

    I have seen many of your videos, and I can say that you made statistic looks sooooo easy. Thanks a lot.

    • @statquest
      @statquest  6 років тому

      You're welcome! I'm glad you like the videos. :)

  • @nzambabignoumba445
    @nzambabignoumba445 2 роки тому +1

    Josh Stamer, definitely you are the BEST!!!

  • @ChiragSutariya
    @ChiragSutariya 4 роки тому +1

    Never seen such a detailed and conceptual explanation. Thank You Josh

  • @ralphzhang1490
    @ralphzhang1490 4 роки тому +2

    the likelihood I learned 20 years ago, and taught college students for 2 years before I went abroad. Never, never really understood it before watching these three of your videoes. I know the formula, know how to calculate. But it's you let me know the visual meaning.

    • @statquest
      @statquest  4 роки тому

      Awesome!!! I'm glad my videos helped you "see" how it all works. :)

  • @ichwanrasidi5934
    @ichwanrasidi5934 4 роки тому +2

    You are a true mathemagician. Excellent video