Statistics 101: Sampling Distributions
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- Опубліковано 5 лип 2024
- Statistics 101: Sampling Distributions.
What happens if we take many samples from an unknown distribution, find the mean of each sample, and then create a histogram based on those sample means? We generate a very important distribution; a sampling distribution. Most of the time we do not know the population parameters (mean, standard deviation, etc.) so we have to estimate them. The sampling distribution helps us do that. Enjoy!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
Damn if that wasn't an encouraging introduction.
made it to 46 seconds and started crying instead
Thank God for you!!!! Your explanation of Sampling distribution is perfect. I am struggling in stats right now and this is extremely helpful.
Dude. Love how you really took your time in the positive encouragement part. Thanks for that. Few tutorial vids do that
Dear Brandon! I really want to thank you for all these statistics videos! I really enjoy them! I am a chemist working in a pharmaceutical company and am currently studying statistics to be prepared for a forthcoming statistics/bioequivalence seminar I'll be attending soon. Before I start studying each section in my statistics book, I watch the corresponding video of yours so as to catch the main concept and realize the principles! You are really helping me through!!! The only question that I have is that if your statistics videos have a specific order that they need to be watched. Thank you!
i wish my lecturers were kind like you
I watched some of the Statistics 101 videos and liked all of them for the amount of knowledge they impart with simple explanation, examples and rich content, however I am bit lost what should be the sequence to watch these videos as there are almost more than 90 of them. I will appreciate if you can share the order one should undertake to cover this as a course in a well defined fashion. Thank you so much for these wonderful videos as they are really helping me a lot understand the statistics thoroughly.
Your presentations are absolutely sublime. I'm severly awestruck at how gifted you are at imparting such knowledge so fluently. And the encouragement in the start and the end of your slides REALLY makes a difference in our lives. YOU'RE SIMPLY THE BEST :P
Thank you so much for the encouraging words and for your lecture! I learned so much from watching your videos, you actually teach people to understand these concepts...
Perfect timing, excellent explanations, clear ideas. You got me hooked.
I was lost in my statistic class, till I found your videos. Keep up the amazing videos. Thank you for taking the time to make them. :)
you sir, are highly intelligent and generous individual. You are also great at motivating students who are struggling with stats. Thanks for making these vids.
Genuinely thank you , this was the best explanation ever and trust me i have seen so many of these
Thank you for the videos and for the way you start your videos, really helps not to become desperate.
thank you so much for the motivational speech in the beginning
I tried understanding this concept via my text and other videos, but yours was the BEST! I finally got it! Thank you!
This is awesomeness, an explanation with clarity. Give Brandom Foltz a Bells
Your videos will help me learn 12 weeks worth of uni material In 6 days. God bless you Brian!!!
Your video was SO helpful, thank you for taking the time to put this together! I look forward to watching your other vides.
Really great video, thanks a bunch. Plus the intro made me cry a little, they were the words i needed to hear, felt like you actually talked to me.
You are my fav UA-cam tutor!
Excellent! Thank you I understand sample populations perfectly now. I was struggling to understand x bar and it is as simple as a representation of a sample occurring in a number of sample pools. Thank you, I will be following you. I have been struggling in my summer stat class and you are clearing things up perfectly.
What an absolute sweetheart!! Thanks for all the encouragement!
You are such a wing-less angel. Thank you Brandon!
I have finals in stat 101 this Thursday ( taking a summer course)wish me luck!! and thank you for posting!!
Amazing illustration of the Central limit Theorem! From Wikipedia (with my modifications):
"Suppose that a sample is obtained containing 15 observations, each observation being randomly generated in a way that does not depend on the values of the other observations, and that the arithmetic average of the observed values is computed. If this procedure is performed repeatedly (9 times), the central limit theorem tells us that the computed values of the average will be distributed according to the normal distribution."
You are doing a great job, sir. Thank you very much
Great videos Brandon !!
Correct me if I am wrong, but any one sample S1 of size 15 does not necessarily have to be a normal distribution, however the distribution of sample means will be normal (CLT)
Excellent teaching. Thank you very much for your efforts.
Thank you Mr. Foltz, i just started the video but I have good feelings about this :)
thank u sir it was really helpful, and when ever i face any problem i do consults ur videos
Thank you for clearing basic concept for statistics.
Excellent channel. Thank you very much!
Thank you for the motivation! The vid is starting I hope i'll get it!
Great clarity on concepts
I have to watch this at 10x speed to finish this playlist before my exam........
Dang.
Dear Mr.Foltz- In which video do you talk about the central limit theorem? I know you refer to it during point and interval inferences, but I am not yet clear exactly how everything is related. Please let me know. Loving you videos! Really only studying for my tests from your videos
I am still trying very hard to understand all that but it does help me a lot to proceed my quantitative research for my MBA dissertation, thank you !!!
Hi Brandon, I am a big fan of your work. Do you also have any video on EFA, PCA or cluster analysis? Thank you.
Million thanks for your videos.
Thank you, it really helped me so much. The problem is that books don't focus of the meaning of terms used by them, for example, differences between specimens and samples
Great explanation! Thank You
Very well explained! Thank you!
You are a very good teacher
Excellent Lecture. Thank you..
How do you calculate the Expected Value in this example? The video that explained how to determine E(X) made sense to me, but it was specific to discrete variables, whereas these are ranges. Are you supposed to multiply the midpoint of each range by the corresponding probability for that range?
really very helpful videos... thankyou sir for sharing this knowledge.
Excellent explanation in a brief period. One question, if population parameters are unknown then how to estimate sample mean and population mean. Any existing online resource would be very helpful. Please, reply at your earliest convenience.
You are the best, thank you!
excellent materials!
Thanks for videos. I wish I found your videos before
Great job. Now I understand what inferenz really means
Thanks for great videos. What I didnt understand , from given example x1_bar is - 3210.73, but why in the figure it is centered around 0 then ? Shouldnt it be centered around 3210.73 , because the normal distribution is centered around mean, somewhat totally confused in this.
Hay Brandon, thanks you, what if my multiple sample have different size?
wow, thanks for the motivation man..... u rock...
I love your video, Thank you
A very good video. GOD bless you.
Hi Prof. Excellent. I have been following your videos for some time and found them to be excellent. Possible for you to share the powerpoints of some of these? Regards
14:58 that question used to haunt me every time I read about sampling distribution :'(
It is time for a mini enlightenment with your videos :D
Hello sir,
Thank you for the words of encouragement, they really mean a lot. I have one question, if you could help, I would be very grateful.
When we say that the mean of the sampling distribution is 'mu', do we mean it is actually equal to 'mu', because there is a proof in my textbook that says so.
However, my confusion arises when at around 14:47, you say it is an estimate at best. If you could clarify this, please?
thanks buddy, great explanantion.
Like your teaching style :)
nailed it. Well explained.
Is there a list that shows what video's start at the beginning as in chapter one, page one. Thanks your video's are fantastic!
is there any foundation on how you categorize the range of mean? like, why do you range it from 2950-3049 instead of 2950-2999
excellent job
What defines one sample from another? That is, in this example, why are the 9 samples of 15 treated as 9 separate samples instead of one sample of 135 (9 * 15)?
I know that technically histograms are gap-less, they are just easier to see with a little space, especially for people with visual impairments. Sometimes I outline them, sometimes I gap them to make them easier to see.
Excellent! Very clear.
Robert Sanchez Thanks so much! Glad you liked it.
+Brandon Foltz do a video on types of sampling like cluster, stratified etc and also on biostatistics concepts like risk estimation, odds ration etc.
ur videos are absolutely good! Infact, I will be watching all ur videos , also check out Prof Leonard and JB statistics videos , they are also great.
Great! Just Great!!!
Thank you!
great video!
Thank you so much!
Thank you so much mate!
I have a question and hope someone help me. After watch this video i am struggling in what is the point to realize hypothesis tests if we can take many samples of the same size, calculate the mean of the means and then take this as the Expected population mean?.
As I know, the hypothesis test is performed only taking a sample of size n and not with many samples mean (or mean of means)
Please help me!!!
Thank You so much!
Hello. I am struggling with what statistics to use. I have a small sample chosen through non-probability sampling. One of my hypotheses is to test the significant difference of the variables with age, gender etc. The other is to test the relationship of the two variables. Help me please, Need it badly. Thanks
Hello sir, I have been struggling to understand the estimation for continuous quantities or continuous distribution. If I have, for example, an expression that gives me the value of lift of an aircraft. In that expression there is a quantity, some coefficient which is a property of that aircraft that I cannot find with analytical methods, and I want to estimate the value of that coefficient. I think maybe statistical inversion technique will be used in which we find the prior probability and most likelihood. And with them we find the posterior density distribution function. With that posterior density distribution we find the most probable value of coefficient given the lift, it is written something like P(C/L).
"something like that", because this is what I have understood by myself. Can you help me out with this?
Anything on the Central Limit Theorem?
That intro gets me everytime man
As do the comments telling me it makes a difference. You got this. Keep lifting.
very nice sir!! finallly i get it! :)
thank you so much!
thank you you're so nice
Me: Given a normal distribution with population mean, if we take several samples from the population and calculate each sample mean, then the overall mean of the mean of the sample distribution is the population mean.
My classmate: Mean mean mean.
thank you so much..
How does a distribution of values differ from a sampling distribution?
thank you
thank you!
You rock!
Hey Mr. Foltz, could you please explain the 'right process of learning' in a few brief points? I go around bouncing from topic to topic in an non-orderly fashion and even though it yields results in tests, I don't feel like I learn a whole lot. Also, thanks for uploading a playlist on inferential statistics; it would be more help to see videos on VITAL STATISTICS as well as the way statistical experiments are designed and how they work (preferably with some clips of some experiments). I would also find a video on how an experiment to determine the quality of test subjects is related to statistics.
Hi Lipsa! As far as sequence goes, my playlist page is a good place to start: ua-cam.com/users/bcfoltzplaylists From a cognition perspective, I prefer to tie theory, math, and interpretation to "real" examples. Start with the familiar and then work from there. Experimental design and subject selection tend to be more humanities based whereas I focus on business related examples. However I do hope to branch out into those in the future. If you have any ideas please let me / us (fellow viewers) know.
***** I love your videos, but I'd really like to know what the sequence is and that isn't very clear to me. For instance, should we continue with PL03 after this video? The thing is that PLs on your playlist page are not organized in an ordinal way, that is, from 1 on. I'm sorry to bother you with this question but I'm looking forward to watching the next one and share it with my classmates. Thanks !!!!
Francesca Bonfanti Yes I agree, in a video he says "welcome to my next video" but what was the prior video?
Nomad Soul Francesca Bonfanti Here: ua-cam.com/users/bcfoltzplaylists UA-cam does not allow us to order the playlists themselves only the videos within a playlist. That is why I numbered them. PL02 is empty for now because its very basic stuff I'll get back to later.
***** Thank you for your response. I'll be looking forward to those videos, then. My level is quite basic. Your videos are so good and clear that I have been able to move on to the following playlists, but I feel there are some gaps that would be filled with info in the much awaited PL2.
I got 113.63... for the standard deviation. Did you check the result, or have I made a mistake?
Fantastic
how many samples do I need to get a good sampling distribution?
One
Thank you
Thanks
What is the point in taking 9 different samples of 15 measurements when we can take a sample of 135 measurements. Wouldn't that be easier? And also E(x) in both cases would be equal.
you're awesome
Thank youu!!!!!!!!
perfect
So if you want to make assumptions about whole population parameters you should take couple of samples ? Is it possible to make it with only one sample from population?
i think that sampling itself has basis there are many types of sampling probability sampling which has subtype and non probability sampling
the best type of sampling is the random probability sampling because of its representativeness and precision then you will take samples and make a sample distribution and calculate the mean = x then you will test how this x is close to the m of the population I GUESS !!
could you make it with some kind of simple examples please?:)
Magnificozas in simple words we need to take many samples of the population and calculate their mean to make the representative o the population because if you took one sample your calculations will be biased and will not properly represent the population because there is always an error in sampling so we take many samples to reduce that error
+spy 009 thanks!