Statistics 101: Standard Error of the Mean
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- Опубліковано 2 лип 2024
- Statistics 101: Standard Error of the Mean.
In this video, we discuss the standard error of the mean which unfortunately is often not given due diligence in some stats classes. However, it is extremely important for understanding how we estimate parameters about our population of interest. Additionally, it introduces the importance of sample size when doing these estimations. An example is provided. Enjoy!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
This guy is my GPA saver! Spending 1.5h in class I get nothing, but with this man for 30mins, I can solve homework questions.
the whole inspirational intro actally hit me in m feels. Enter: supportive mathematical father figure
AMEN!
this guy deserves way more likes, comparable to khanacademy
This guy puts Khanacademy's sporadic nonsense to bed.
I love khanacademy but Brandon has been my goto channel for Stats class. Such a great and detailed explanation of Standard Error compared with khanacademy, brilliant job in picking apart all the elements.
Oh thank you Frank for your generous words. And thank you for inspiring me to keep making these for viewers like yourself. All the very best, B.
I am taking online classes and the one I am taking now is Statistics. I have been struggling a lot with this class, the book doesn't make a lot of sense and my teacher doesn't explain things very well. I found your videos randomly one day and you have been a life saver! You explain this stuff so amazing, you break it down so there is no question about what your doing. You use great examples that I an relate to and really understand. I just want to say THANK YOU for making these videos, you do a great job!
This is amazing, all my questions are answered in these videos. I couldn't be more thankful for the very appreciated effort you've done here. Thank you so much for everything!
These tutorial videos are the best ever. I like how they are so thorough and methodical and detailed in the explanations. Most stats tutorial videos go way to fast and make all kinds of assumptions about what i already know. Love these videos!!...more, please!
your videos have been recommended by a lecturer at my university in London, and thank god! You actually make statistics interesting and doable. The books were so scary and difficult to follow!! Thank you so much for all the help you have been giving me. Carry on the great work!!
Dr. Foltz,
THANK YOU! I have watched your Statistics 101 videos for each chapter of my online Statistics class that I am completing for my MBA! They are so clear, organized, and simple. You're the best!
you are a master of education literally and figuratively. I can't believe how good your lectures are.
Thank you so much! It is obvious that you are a master teacher. You taught me more in half an hour than I learned in a week of struggling through an online class. I think I can do this because of your efforts. I shared your videos with the entire class.
I'd like to express my gratitude. Regrettably, I can be quite slow of comprehension, especially with statistics. Despite several statistics courses (which I miraculously passed somehow), I clearly had some fundamental gaps in my understanding of many statistical topics including the SEM. Now, I finally understand it. Again, thank you very much!
You made statistics easy. I should have found your videos 15 years ago when i was taking undergraduate stats. Your videos are awesome and you have made these freely available as well. Thanks alot..
ola
Hi Brandon, Although I am not a beginner to stats, it is the most neglected subject through out 13 years of my academic and professional life. Now I am a research student in pharmacometrics where stats is the back bone of any work I do. Your video is as simple as I watch an interesting movie in terms of understanding. Thanks is a small word to express my opinion on this video but I would encourage my friends to watch your tutorial.
It would be very helpful for people like me if you can add even more tutorials such as concepts of Random effects, fixed effects or Mixed effects modeling.
Terrific video. You were born to teach. Thank you for the effort you put in.
Again kudos for your great effort. The best video so far I found regarding SE of the mean. Thanks again Foltz
Thank you so much for taking the time to help us out here!! There are so many poor instructors out there! Since you asked I will suggest one thing (and maybe it's here somewhere and I missed it) - it would be great if your videos were either linked (for proper order) or if there was an "order sheet" somewhere so that we could figure out the proper sequence for learning. I am struggling with sample size - margin of error etc and am bouncing around :-)
Thanks!!!
I second this idea strongly. It would help is go through this awesome material way easier
absolutely wonderful how you break things down so that the information is attainable.
god bless you! i just understood my concepts very well. In roughly a half hour, all my confusion is gone! thank you!
Oh bless you:)) I've found the channel on UA-cam just on time In January I will have my mock exam from stats. I do revision with you, and I am really glad about it:)) Thank you.
Thank you Brandon, loads of info in a 30 min class.if i would have watched this on my first go around in statistic i would have nailed it. (that was about 10 years ago) great video. thank you for sharing your wisdom.
Thank you Brandon! I love you how you place focus on creating the right train of thought and understanding the processes associated with the subject.
@saladbrain Oh thank you so much my friend! Those are very encouraging words from people like yourself who inspire me. And yes! My stats videos are organized into playlists on my channel home page. There should be a playlist option in the upper left. The playlists are in order and internally they sequenced. All the best and keep on learning! - B
Thanks, Brandon. Your video lectures are helping me to learn Statistics in an easy way.
thank you for making the scary stuff easy. I am definitely a fan!
Awwww, that introductory encouragement is REALLLLY GREAT! THANKS
I enjoyed every seconds of your explanations. Thanks a lot for this amount of effort.
Your videos are like the cumulative sum of all knowledge of statistics, 1 lesson at a time. Your 1st vid is just itself. The 2nd vid has 1 and 2. And the 3rd has 1,2, and 3 in it.
Because of how the playlists work.
Thanks Professor for keeping us confident. Great Teacher.
my goodness me !! you make things so clear .. god bless you .. you have made an old man live again
Same. 😊
Oh my goodness! Your kind words and encouragement are awesome!!! Thank you so much!
Well explained I was having problem in getting the difference between Standard error and Standard deviation. I can smile on my way to examination I will be watching your confidence interval vedio hope to get the best thank you God Bless you well motivated with your introduction. 56 years have a diploma but will one day will be lecturing at a university.
Thank you so much for the encouragement!! It is so needed, at any stage!
Thank you for such a thorough video! I found it extremely helpful
Excellent work, Brandon. Extremely helpful and informative.
Thank you so much - I would just add a link to future videos to facilitate finding what we should do when the standard deviation is not known.
Your video was very clear and I know it will help.
Thank you! These are the kind of videos I need to understand statistics. Apparently my mind was not made for math, so understanding this stuff is more difficult than it should be. The way you explain things helps understanding WHY things happen, so my brain has something to "anchor" all the information to.
+Nixu88 Statistics/Math can be challenging subjects, but I don't think you are approaching learning with the right attitude! You are quite capable of mastering almost any topic, but it is a matter of practice, growth, and patience! At some point in your life you were probably struggling with learning to read, learning to multiply and divide, even subtract,... Practice and perseverance truly the key!
If Euclid or Capernicus were presented with calculus, they would surely have felt the same way!
Excellent videos. I really enjoyed watching them, and will continue to go through them to improve my understanding of stats. One thing ... have you produced a 'road map' that gives a suggested order of viewing? I would find that beneficial.
Please keep on producing these videos, Brandon. They are very clear and I have found them very helpful in clarifying many of the fundamentals of stats, which many texts either gloss over or provide vague explanations. Great stuff!
I felt that there is a point on sample you wanted to correct what you wrote was correct, so you were cnfusing yourself good video with excellent introduction well done continue to help man kind thank you God bless you.
A humanistic amazing instructional video! Thank you so much! Admiration from India!
You seem like a real sweet heart! Thank you for your videos, they're clear, concise, and very appreciated.
Nikki in Alaska
It is a bad idea, at 26:51, to throw standard error of the mean (SEM) 38.7 on each of the 9 graphs.
SEM is the standard deviation of the sampling distribution of the sample mean, not to be confused with the standard deviation of each sample.
Any one of the 9 graphs represents a sample of the population. The shape of the graph should resemble the population distribution, therefore, their standard deviation should be approximately equal to that of the population, not the SEM.
A better example would be to draw 9 samples from a not-normally-distributed population, to avoid this confusion.
Other than that, this video series is excellent. Thank you very much!
Thank you I think your video series are very helpful and provide more intuitive understanding if the concepts.
My suggestion for this specific video is as follow. I think the first 15 minutes is repeat of your other video on sampling distribution. I would suggest you shorten this down to the last 15 minute and make it a part II of that video.
What a fantastic explanation of this concept. Thank you.
thank you! these stats videos are super well put together and very helpful. :)
I am clearly understand anything which you teach, thank a lots.
THANK"S A LOT Mr. Brandon Foltz, give me enlargement, knowing how to important take differentiation concept about sampling population in order to calculate standard error of mean and the result for take final of ratio Variable.
Brandon, I like your content so much!! Specifically the videos on statistical inference are really wel structured and help light the right areas of your brain and grasp the concepts very quickly!! However there is one error which I would like to point out to alter your understanding, and to preferrably help others out there!! between 26:00 to 27:00 you constantly are iterating that the standard errors or the standard deviations of individual samples of same sample size are same. That is not at all the case. Each sample even though of a same size, will have its own mean, and own std deviation. The mean of all these means of all samples drawn will however have the standard error of Sigma / Sqrt(Sample Size). So the graph shown around 26:55 is also inaccurate. Hope this helps!! All good intentions man! Thank you for all the content.. Really appreciate the effort!
Did an amazing job explaining this. Thank you so much :)
Excellent! Got it. Thanks so much for the prompt reply.
Thank you Brandon. You are the best..
your teaching technique is just awesome ...
Thankyou for all you do!
Excellent 👌 , after a long time I have watched a quality education video.
Brilliant content, very neatly explained. Thank you :)
You are amazing. Great teaching. Way to reach your student!!!!
Hey Brandon,
First off, thanks a bunch for the time and effort you have spent in creating these extremely useful videos!
I'm just having a hard time visualizing the concept of standard error - in this video at 29:00 you say that the standard error is the same as the standard deviation of the sampling distribution, but having watched another of your videos Statistics 101: Confidence Intervals, Population Deviation Unknown - Part 1 at 22:00, the explanation seems contradictory. In that video, the variable s is assumed to be the std dev of the sample, which differs from s subscript x, which is the standard error. I guess it would help if you could clarify the difference between the standard deviation of a sample vs standard deviation of a sampling distribution.
A second question I have is regarding the standard error formula itself - specifically the division by the square root of n. Just as an academic exercise, lets say we were to take a sample that is the same size as the population - I would assume that the standard error of this "sample" mean should be zero, as it is always the same as the population mean? However, you can see that if we blindly apply the (sigma/sqrt(n)) formula, we would end up with a non-zero standard error, which doesn't make sense to me, as the sample and the population are one and the same in this case. Is there an exception to this formula or is there something I'm missing here?
Thanks again for another great video. It's very helpful!
Your teachings are brilliant
Very good explanation of standard error. Thank you!
Thank you so much! Great teaching style ... take the anxiety out of learning stats. :)
Awesome video! Thank you!
Very helpful. Thanks for sharing your time and expertise.
I so needed this, thanks
thank you! your affirmations were/are also helpful!
you have made it very easy to understand. thanks.
This video helps so much, thank you!
That was extremely helpful, thank you.
Clear and to the point. Very didactic
Thought this was very helpful. I have not been doing poorly but I have to work hard to understand. Thanks for making it understandable
Great vid.
I would add watching the following vid before watching this one - it tee's Dr. Foltz's video up nicely - sets the stage.
28:10 Critical Piece of Info, at least for me...
U have done MARVELOUS work. I never thought, STATAISTIC is interesting Subject.
Wonderful tutorial. I learned a lot. Thanks
Very helpful indeed.
Thanks. Keep it up.
beautifully explained this very difficult topic. This was almost never explained anywhere why do we use population SD to get sample distribution standard error. This is beautifully explained here by telling that sample would not tell us SE but population SD will tell us SE and samples would gives us different means but they will all have same standard error if they are of same size.
Thanks a lot! Really help! Hope we can have more real case with the standard error of mean.
Thank you. It was a very big help.
Thank you for making these videos....
Thank you Brandon. AWESOME!
Great explanation!
Well explained, god bless you!
Give this guy a medal
Thank you very much this video was very helpful to me.
thak you sir i think i have find the perfect statstics playlist
Thanks for your lesson!
I love watching your videos! Very informative and easy to follow (and I'm certainly NOT mathematically inclined). Has anyone ever told you that your voice sounds very similar to the actor Seth Rogen?
all your vids are fire and i dont know where to start
Hi Zia! Thanks for watching! ua-cam.com/users/bcfoltzplaylists
That's excellent. Thank you.
Great video!
Excellent!
Beginning is a little awkward: You comment, "If you are watching this as a student, ..." implying you will address the rest of the audience who isn't a student after addressing those who are -- and then you don't. lol ("If you are watching this as a student, great job, hang in there! If you're not, meh, whatever." ;) ...)
Watching at 1.5x speed -- love this youtube feature ...
Your teaching is clear. Good job! It is inspiring me to record my own presentations and put them on youtube (though I am tempted to cower at the time needed to rehearse comments, and create subtitles for English learners)... But good presentations /should/ be so prepared, not off-the-cuff remarks, so thanks for the 'iron sharpening iron' ...
Phenomenally explained.
Thank you! Phenomenally watched!
Brandon,
You are the only instructor (IMHO) that uses the Central Limit Theorem correctly!
So many people just take one sample, and then apply that value for n in the sort.
Q- Why not use 9 instead of 15 for n? Nine samples of (15) are taken. Just wondering!
Thank you.
Cheers for this video Brandon. Concisely explaining (what can be) a difficult topic to a mass audience can be challenging but you have done just that. The words of encouragement were the icing on the cake; subscribed!
Standard error of mean is the standard deviations of the means of all the samples of same size. Right? Then is it not a mistake to use the phrase, "Standard error of each samples like sample 1 and sample 2 is same." (27:43)
Man you are awesome tutor
I think this video was a bit hard to follow. Individually each slide made sense, but it is difficult to kind of appreciate what the standard error of the mean actually is. Here's where it gets particularly confusing:
Understood Concept 1: Standard error of the mean is the standard deviation of the sampling distribution.
Understood Concept 2: Standard error of the mean = (Population standard deviation)/sqrt(sample size)
Where it gets confusing is when you extrapolate standard error of the mean to individual samples (like sample 1, sample 2, etc). If it is something related to the sampling distribution of a whole, it kind of doesn't make sense to me how we can extend it to sample 1, sample 2, etc.
I went through the comments and saw that others had similar issues. From what I understand, "Suppose you want to estimate the population mean and you know the population variance, you take a sample of size 15. You can get a sample mean for this sample, and the value (population variance / sqrt (15)) is something that you use to come up with confidence intervals around the sample mean to estimate the population mean.
I hope I am right! :P
I was just about to drop this class, but after listening to your words of encouragement I am motivated to give the course a chance
Great! Follow along with my videos during the course and you should be just fine. I may not cover everything but I do cover the bulk of almost all intro stat courses. Hang in there!
Dude, you're awesome.
Thanks for the encouragement :)