Statistics 101: Confidence Interval Estimation, Sigma Known

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  • Опубліковано 17 січ 2025

КОМЕНТАРІ • 332

  • @Bvshati
    @Bvshati 5 років тому +172

    when youtube professors are better than your actual professor

  • @denissedeo895
    @denissedeo895 5 років тому +90

    I love the encouragement and words of affirmation in the beginning!

  • @MarciaArleneDebra
    @MarciaArleneDebra 11 років тому +4

    This is an example of good teaching; I am reviewing statistics which I studied many years ago, and this video shows me how much we do not know, even when we have studied a subject. The explanations and the illustrations aid learning. i wish teachers will watch this video to see an example of good instructions.

  • @terriecortney3003
    @terriecortney3003 9 років тому +36

    Thank you so much!!! Doing an on-line stats class for a doctorate program is a nightmare. . .you have increased my level of understanding and I am ready to view another one of your next videos.

    • @BrandonFoltz
      @BrandonFoltz  9 років тому +7

      +Terrie Cortney Great. Glad to be of help. Hang in there you can do it.

    • @zandilemasangane5920
      @zandilemasangane5920 3 роки тому

      @@BrandonFoltz Thank you Brandon I learnt a lot from your video

  • @orangekiss519
    @orangekiss519 9 років тому +14

    this video just changed the game entirely! you are so encouraging and you deliver everything in such a STRAIGHT FORWARD way. I thought I was gonna have to drop this class but I'm so glad I found your videos! Thank you so much and God bless :)

  • @djNERD126
    @djNERD126 11 років тому +5

    I learned 3 days of lecture material ( one hour and 15 mins each lecture...) in 44 minutes. You are a godsend. Also the little "pep talk" in the beginning seriously helped. Wonderful work Brandon. Thank you!

    • @BrandonFoltz
      @BrandonFoltz  11 років тому +2

      Thank you Sagar! You had the ability in you the whole time. :) I am glad you found the video helpful. All the best in your studies! - N

  • @psvishnuprasad4843
    @psvishnuprasad4843 5 років тому +22

    This is the most inspired I've been in the whole semester.

  • @epiphenomenalist
    @epiphenomenalist 5 років тому +6

    I rarely comment on youtube videos, but I gotta say I'm impressed. Your explanations are thorough and concise. And your examples are unique and interesting. Thank you for your help.

  • @xiscide
    @xiscide 8 років тому +174

    The volume of your cough in 15:00 is 2 standard deviation above the mean.

  • @BrandonFoltz
    @BrandonFoltz  11 років тому

    That is very kind of you Marcia. :) Most teachers mean well, I am a learner first and teacher second; I think that helps! Hang in there and keep learning!

  • @BrandonFoltz
    @BrandonFoltz  11 років тому

    Hi John! Thanks so much! Sal Khan is one of my heroes so that was very kind of you to say. As far as the multiple samples go, actually I did not put tick marks on the sample means on purpose. I wanted to stress the concept that CIs are about mu being in or out of the sample interval. Many students turn it around and think CIs are the probability the sample mean is in the dotted interval, which is backwards and incorrect. Just my method of madness. :) All the very best, B.

  • @BrandonFoltz
    @BrandonFoltz  11 років тому

    Oh thank you so much! You weren't lost though...you just needed a little candle light to show the way. You can do it! All the best, B.

  • @hafezmansour1563
    @hafezmansour1563 11 років тому

    I really appreciate how much time and effort you spent preparing this lesson. Thank you so much for a clear explanation.

  • @jamesraines610
    @jamesraines610 10 років тому +3

    Excellent teacher. I've always wanted to learn Stats, but I could never understand the meanings of the numbers. Colleges need more instructors like you.

  • @chuchutraiin
    @chuchutraiin 10 років тому +1

    Hey thank you so much for this video. I've been struggling in my statistics class feeling like a dumbass for more than half the semester and your introduction/conclusion really cheered me up. Please keep making more! Don't stop!

  • @guthrie_the_wizard
    @guthrie_the_wizard 3 роки тому +3

    I love how organized your videos are. Really really helpful.

  • @susanrachelcondon1946
    @susanrachelcondon1946 7 років тому +5

    You are so amazingly helpful. Thank you for standing by those in "rough patches."

  • @geetanjalikapoor3725
    @geetanjalikapoor3725 9 років тому

    The videos are excellent. The fact that you pause and re-explain the preceding lines, really drills in the essence. Books dont get into so much depth and concept building. Thanks a lot!

  • @yolandamordue8423
    @yolandamordue8423 6 років тому +1

    Thank you so much!!!! I have struggled with an online course without a lecture.. You have saved me this week, and foresee myself watching them through out this term!

  • @kiranravindranath10728
    @kiranravindranath10728 7 років тому

    "The population parameter is either within the confidence interval or not". I like the way you emphasized that fact. I know many people who think that 95% CI means the interval which would contain the population parameter 95% of the time. This is because they get confused with the ubiquitous textbook-ish kind of explanation about CI; if you do the same kind of sampling 100 times and find the CI of each of them, 95% of the intervals will contain the population parameter . Becoming a fan of your lecture series.

  • @hassanawada8560
    @hassanawada8560 2 роки тому

    you are amazing! this is the best stats video ive watched in my life, no complicated topic has ever been explained this simply.

  • @nebj1014
    @nebj1014 9 років тому +1

    This has been so helpful! in less then an hour I have been trying to learn for the past three of for weeks! Just in time for finals!! Thanks so much, may God bless you!!!

  • @sandiin6885
    @sandiin6885 7 років тому +1

    So happy that I discovered you. You are a great teacher and have increased my understanding greatly! Thank you

  • @chantonaki
    @chantonaki 3 роки тому +2

    omg the first :49 seconds made me a subscriber. you understand who you are teaching. that’s incredible

    • @BrandonFoltz
      @BrandonFoltz  3 роки тому

      I try. But I am always trying to serve and help and learn. Thank you.

  • @kimonkarapetsis8195
    @kimonkarapetsis8195 4 роки тому +1

    Hello Brandon, love the amount of detail you get into in these videos, and the consistency of your slides is impressive. What really stands out however is the realistic examples you use! I'm tired of listening to the same old coin-toss, gum ball or whatnot problems. Much appreciated!

  • @dewaldkeulder6074
    @dewaldkeulder6074 6 років тому

    I'm doing my revision for CFA stats section, and I must say you are the perfect teacher! Your videos are more than enjoyable and very thorough. Looking forward to binge-watching the rest of your videos. Keep it up!

  • @samanthadunley
    @samanthadunley 4 роки тому +2

    I really appreciated the encouragement at the beginning and at the end of this video! I understood everything, Thank you!

  • @BrandonFoltz
    @BrandonFoltz  11 років тому

    Thank you so very much Jason. :) All the very best in your studies. Never stop learning! - B

  • @daggadubb
    @daggadubb 5 років тому +1

    These videos are changing my stats game, I'm so glad I found you!!

  • @armansa
    @armansa 3 роки тому

    First of all, your videos on statistics are mind-blowingly well structured and nicely delivered. You are an incredible teacher!
    I have a comment about a part of this video that I think might be misleading. At 30:33, you show the sampling mean distribution centered at 20. If that blue curve was meant to show the sampling mean distribution, it should have been centered around the population mean, not the sampling mean.

  • @anniecharles4402
    @anniecharles4402 11 років тому

    Thanks so much. I had been studying this from my textbook and could not wrap my head around it. In addition some things that were said in the textbook though not mentioned in your presentation suddenly made sense. I will be visiting your website often. Thanks again.

  • @khalilfayad476
    @khalilfayad476 3 роки тому

    You are simply the best Mr. Brandon Foltz, Thank you

  • @johntreanor6783
    @johntreanor6783 11 років тому

    Excellent, much better presentation than the Khan academy. One suggestion in the slide with multiple samples, I think it would make it clearer if there was a small vertical bar on each sample at the mean, to show clearly that they lie within, (or without for x5), the +/- 1.96 z values.

  • @mainakray6452
    @mainakray6452 4 роки тому

    one day u will won nobel prize or field ................gr8 concept comes with gr8 explanation ....love u 100000 time

  • @NawaFxVi
    @NawaFxVi 8 років тому +54

    Dude I think I'm in love with you

  • @nilothpalbhattacharya8230
    @nilothpalbhattacharya8230 2 роки тому

    Brandon explains the concepts in the best way

  • @giselerossini4935
    @giselerossini4935 11 років тому

    In Australia, about to tackle my very first bio stats class. Completely petrified but this video really help to grasp some of the concepts. Thank you..!!!
    Wish you could sit with me through this semester of uni, Australia is VERY nice this time of year (lol)

  • @pebre79
    @pebre79 11 років тому

    Brandon your videos are so clear! i like your stats videos because they explain concepts that Khan skims over in my opinion.

  • @kaiyakeyo2
    @kaiyakeyo2 11 років тому

    Extremely helpful I was so lost until I watched your videos. Thanks again

  • @humber61
    @humber61 4 роки тому

    Your class was so clear, that even for me as not a native English speaker, I understood it very well. Thank you!

  • @paulinavillanueva6214
    @paulinavillanueva6214 8 років тому

    Thank You so much for your Statistic's videos! I'v been watching all of them since the playlist 1 and everything is starting to make sense! Thank You!

  • @rohitashwachakraborty370
    @rohitashwachakraborty370 4 роки тому +1

    These videos are amazingly lucid!
    I do have a doubt however.....
    At 18:32, you say “Samples of the same size have the same sample error”.
    But from earlier, we know the standard error to be the “Standard distribution of the sampling distribution”.
    Doesn’t that mean that we find the mean of samples many times over, plot their distribution and the std. of this distribution is the standard error?
    If that is the case, how is the standard error of a sample the same as the standard error of a distribution of samples
    I hope I’m able to express my query properly! Thanks!

  • @BrandonFoltz
    @BrandonFoltz  11 років тому

    Thank you so much Alexander! Awesome learning on your part!

  • @johnmiller3513
    @johnmiller3513 10 років тому

    Long video, but Every part was useful. Most of us only want at most 9 minutes. This had to be done in 44. You hit the ball out of the park. The 2nd example clinched it.

  • @stepmelgoo
    @stepmelgoo 9 років тому +2

    Thank you so much Brandon! You are gifted in teaching!

  • @lambchop315
    @lambchop315 3 роки тому

    The most clear explanations of statistics ever! love your slides!

  • @dblcas
    @dblcas 4 роки тому

    that intro was so nice and I absolutely needed that. thank you.

  • @nelsongovia8686
    @nelsongovia8686 4 роки тому

    That pep talk at the beginning really got me goin! Thanks Brandon!

  • @h.f.williams13
    @h.f.williams13 2 роки тому

    U R X-cellent!!!!!!!!! U make the UNKOWN KNOWABLE. You take CONCEPTS that can be DAUNTING for MANY and You DE-MYSTIFY them. I'm Pleasantly Envious and Impressed LoL!!!👌

  • @thaitrieu791
    @thaitrieu791 2 роки тому

    You increased my level of confidence in Stats

  • @lexirichardson6068
    @lexirichardson6068 4 роки тому

    Okay so literally I was meant to stumble across this video because i was just saying how bad I was ready to drop out and work in a factory or something because this class is so difficult I don't understand any of the concepts. So THANK YOU for the kind words. I appreciate it so much.

  • @mmyr4550
    @mmyr4550 11 років тому +4

    Really excellent series! Thank you for donating your time and expertise to help us learners

  • @daverichmond1601
    @daverichmond1601 5 років тому

    I was trained in Design for Lean Six Sigma at the Black Belt level. The training was very sparse compared to the depth of the statistical subjects. For example we spent a day on hypothesis testing, Z and T distributions and how to use them. Now I am using the tools in industry and these lessons provide a great review and more in-depth understanding so that I can correctly use them.

  • @mariasoler8248
    @mariasoler8248 8 років тому +1

    Thank you for your videos. Even though statistics is still a difficult class, with the reading and studying I normally do for my class, your videos clarify the concepts. This class and the next one in stats are the ones I need to complete my Bachelor's in Psychology.

  • @mohamadsameerNR2HT
    @mohamadsameerNR2HT 4 роки тому

    I loved the positivity in the introduction. Thank you :)

  • @laurafl8793
    @laurafl8793 11 років тому

    Thank you so much for these videos!! Taking an online Stat course was a HUGE mistake but you have made this so much easier to understand...I should list you as my Professor lol.

  • @AJ-et3vf
    @AJ-et3vf 2 роки тому

    Awesome video! Thank you! And wow, can't believe this video is from 2013, almost 10 years ago! Really great for this to still be useful at the present day.

  • @kimboslice1356
    @kimboslice1356 7 років тому

    Best tutorials I’ve found so far. Thank you!

  • @DxROC
    @DxROC 10 років тому

    Clarified sooo much! Especially the concept of "confidence". Thank You very much

  • @mohnishtirumalasetti5435
    @mohnishtirumalasetti5435 7 років тому

    OMG!..Your presentations are very precise. I really admire and appreciate you for presenting these complex concepts in a way more comprehensible way. Thank you for saving my life Mr.Brandon Foltz.

    • @BrandonFoltz
      @BrandonFoltz  7 років тому

      Thank you so much! But you did the work and made the effort to find the help you needed. It makes all the difference. Keep working!

  • @deepakdodeja4663
    @deepakdodeja4663 3 роки тому

    Each spoken word made sense. Thanks . . . . .

  • @lexgabrees
    @lexgabrees 9 років тому +3

    Just a quick question. In the previous video you talked about the standard error of the mean. This is the standard deviation of the sample distribution. The sample distribution is ofcourse a distribution of different samples with a size of n=x.
    In this video however, there is just 1 sample, with n=500, which you are using to get to an estimate of the population parameter. Ofcourse the question : why aren't you taking many more samples of n=500 ?
    ----- edit -----
    So now I think I figured it out : because we can say that with 95% confidence, all possible samples will contain the population mean (which we want to estimate) anyway, taking one sample is enough. It's the interval that 'catches' all those potential sample means. So, it's enough to take one sample and estimate from there, as long we take marginal errors into account. Correct me if I'm wrong though ...

  • @mehradghazanfaryan640
    @mehradghazanfaryan640 4 роки тому

    I am the graduate economic student and I was searching fro an specific statistical argument and just stumbled upon this video I must admit the stats that I've been studying is far more advanced than the materials he teaches however I took a pause to look at the way he teaches , Gosh is plain straight forward and far better than the teaching methods my professors used to teach , I think they liked to complicate a really easy subjects and give a bunch of non sensical denotations and terminologies where as in the real world we all will find far more practical and useful and believe it or not mathematic and stats are so sweet and appealing than the bulshits professors teach in high schools and universities

  • @madinaismail9280
    @madinaismail9280 10 років тому

    My stat professor is good, his only problem: He can't teach! You are a great teacher and I have most of my stats from you. My professor mentions it; you tell me what it is and show mention how to go about it. Lots of thanks.

  • @amleshkanekar328
    @amleshkanekar328 6 років тому

    Firstly Brandon, your videos are a divine gift to me - may you be blessed. I have been teaching myself Machine Learning, Linear Algebra and Stats for 4 months. Your videos (watching them since yesterday morning) are fast-tracking me on Statistics.
    I understood the CONFIDENCE INTERVAL concept after watching this video painstakingly 3 times. But I found the following statement confusing - "Samples of the same size have the same standard error". This is related to the "width" you have shown around the 7 sample means. I understand that the CONFIDENCE INTERVAL is a smart concept to measure out the (1.96*SME) length on either side of the sample mean and how that allows us to construct the CONFIDENCE statement i.e. "There is a 95% probability that the population mean lies within ...".
    But I am unable to digest the statement "Samples of the same size have the same standard error". It also seems unnecessary. I am not sure whether saying "There exists a standard error for each sample" means anything at all. Isn't the "standard error" a metric that applies to the sampling distribution, not to a specific sample or samples?

    • @amleshkanekar328
      @amleshkanekar328 6 років тому

      The statement "The randomness of lies in the elements chosen for the sample" is a very critical one. It seems to me that for the concept of CONFIDENCE INTERVAL to be meaningful, the manner in which the sampling was done becomes very important. For example, in the Barnes and Noble example, the manner in which the 125 salesmen were chosen - that choice should be as random as possible. Such as repeating the following process 125 times - Select the city of the store randomly, then within that city select the shop by Annual Sales randomly, within that shop select the salesperson randomly by employee code etc. Sampling considerations such as "with or without replacement" will be important I suppose. Unless the randomness of the sample is ensured as much as possible, the confidence to make the "95% confidence" statement will be low!

  • @eong4513
    @eong4513 5 років тому +2

    Just had a 2-hour lecture on confidence intervals but the prof was so TERRIBLE I came out more confused than when I entered the lect hall. Thanks for answering my questions within 44 minutes.

  • @neetugarg1288
    @neetugarg1288 2 роки тому

    This video is really amazing. I loved the way you gave clarity. Thanks a lot.

  • @mrinalsarkar1926
    @mrinalsarkar1926 3 роки тому

    My sincere thanks for providing such quality lecture

  • @OlegShumihin
    @OlegShumihin 2 роки тому

    thanks a lot Brandon, the best explanation I found so far!

  • @vulnerablerummy
    @vulnerablerummy 5 років тому +1

    15:10 bless you, Mr. Brandon

  • @MyRobin38
    @MyRobin38 3 роки тому

    You've made this sooooo simple. Thanks Brandon

  • @Itszyiaq8
    @Itszyiaq8 3 роки тому

    Why I cry when u say positive words thank u so muchhhhh 🥺

  • @Crocoroar
    @Crocoroar 7 років тому

    Thanks for the pep talk at the beginning. This class stresses me out.

  • @berkmehmet2399
    @berkmehmet2399 Місяць тому

    Honorable Brandon, thank yo so much for your videos !! It would be great if we could gain acces to all your pdf´s (in a book??) and pay for it! Definetely, your work is awesome!!!

  • @natabuleishvili5287
    @natabuleishvili5287 5 років тому +2

    Thank you! Saved me for Stats exam :)

  • @mei2508
    @mei2508 8 років тому

    First time understand all these! Thx so much.

  • @jasonerikbaron
    @jasonerikbaron 11 років тому

    Thanks for such a clear and understandable explanation.

  • @ଲିପ୍ସା
    @ଲିପ୍ସା 3 роки тому

    Loving all your lectures Brandon ♥. Much thanks..

  • @mohammedseid2555
    @mohammedseid2555 3 роки тому

    this video help me a lot please keep on produce more
    it is very clear and precise

  • @kimberlycarter8156
    @kimberlycarter8156 11 років тому

    Excellent video. Thank you for your time and efforts.

  • @MagnusAnand
    @MagnusAnand 8 років тому +4

    Clear as water!

  • @vineethmenon5546
    @vineethmenon5546 8 років тому

    Beautiful....... It was so tough to interpret statistics before this. I feel sad i came across this so late...

  • @shanemckenzie8681
    @shanemckenzie8681 3 роки тому

    Oh my goodness, you just might be an angel!! My teacher is not slow.. she is great , but not slow. I need sloooowwww

    • @BrandonFoltz
      @BrandonFoltz  3 роки тому

      You got this Shane. One foot in front of the other. Step by step. You can do it.

  • @RealAjGhimire
    @RealAjGhimire 8 років тому

    You are phenomenal !! Can't thank you enough!!

  • @SuperMendii
    @SuperMendii 8 років тому

    You're amazing!!!!! life makes complete sense now!!

  • @niharikananda
    @niharikananda 10 років тому

    Excellent learning materials

  • @sherifsolimanPeduro
    @sherifsolimanPeduro 11 років тому

    thanks for a gifted teacher......

  • @jimena6264
    @jimena6264 4 роки тому

    thank you very much for your videos, this is helping me so much!!!!!!!!!!!

  • @azar8538
    @azar8538 7 років тому

    Thank you very much for your presentation. Excellent work.

  • @Hathi0123456789hathi
    @Hathi0123456789hathi 10 років тому

    This is helping me so much. Big thanks from ISB, India :)

  • @lemyul
    @lemyul 5 років тому

    thE last example was interesting. Woke me up.

  • @no_username9065
    @no_username9065 3 роки тому +1

    At 19:55 how can individual samples have a standard error of the mean? Isn’t standard error of the mean computed from all the samples together?

  • @mazarwa1
    @mazarwa1 8 років тому +1

    Thank you so much. Clear explanation

  • @cbreese79
    @cbreese79 11 років тому

    Thank you so much for your videos! Extremely helpful!

  • @adityasatyam6300
    @adityasatyam6300 3 роки тому

    What a explanation Prof.

  • @BlueSkyBD
    @BlueSkyBD 8 років тому

    very very useful video to understand about statistics. please upload more and more video about statistics. you are a BOSS

  • @vahllable
    @vahllable 4 роки тому

    the approach and teaching-style is very effective for beginners like me.... keep it up👍

  • @ramakrishnas1529
    @ramakrishnas1529 7 років тому

    This is absolutely awesome ...explanation.

  • @BookclubbyShoily
    @BookclubbyShoily 5 років тому

    I found these videos just hours before of my exam.. needed to find these earlier... so helpful😅

  • @andrewagyeman3338
    @andrewagyeman3338 2 роки тому

    great teacher!