Calculating the Confidence interval for a mean using a formula - statistics help

[@meems6382]

I learned more in this 5 minute video than I did in a 2 1/2 hour lecture last week, THANK YOU!

[@DrNic]

I'm pleased to hear it. It might be that it helped consolidate the lecture material. Either way it is great to help.

[@realdvgarg]

@@DrNic humble.

[@catherinej8819]

WAS LITERALLY ABOUT TO COMMENT THIS lowkey kinda mad that I woke up for an 8am lecture and felt really lost and confused and then watched this video and now I understand like why am I

[@alenjose3903]

@@catherinej8819 im coming from khan academy, he's done a horrible job too.

[@DrNic]

@@alenjose3903 Thanks for that. Khan is not a statistics teacher and teaches like a maths tutor which is quite different. I really appreciate it when people can see the difference.

[@r4ts311]

Thank you SO MUCH, i can finally understand the logic behind all the gibberish in my book!! Saved my life

[@DrNic]

That is great to hear - I believe yours is not the first life I have saved in this way. ;)

[@兴宣大院君-h4s]

This video is awesome. I recommend all of my professors to watch this before going to class!

[@edenbirku5552]

😂😂

[@notanape5415]

Damn bro!! Laughing so hard, I needed this :)

[@nazifataha8868]

Yes. Lmao

[@jokovik5492]

I have watched this video at least 10 times in the last couple of years, and each time I learn something new! Great video!

[@DrNic]

That’s great to hear. Thanks

[@mikemcmorris6078]

Epic approach to teaching, keen knowledge of learner needs, and effortless ability to teach complex concepts simply through common sense illustration. Respect for Dr. Nic!! So helpful, thank you.

[@DrNic]

Thanks - It has taken several years of teaching this material to get to this point. Nice it seems effortless.

[@danspitalnik]

So much clearer than my lecturer. Thanks.

[@DrNic]

This video teaches the more traditional way to calculate confidence intervals. It still concentrates on conceptual understanding rather than mathematical methods.

[@Fastbub]

Statistics Learning Centre always a pleasure learn from those who really know how to teach ☺️

[@najla9180]

Thank you so much , you are my hero

[@swalihashanu5827]

Does this have any similarity with 'exact confidence interval for mean based on t distribution '??

[@DrNic]

@@swalihashanu5827 This is not a term I am familiar with. It is a confidence interval for a mean based on a t distribution. Not sure what they mean by "exact"

[@swalihashanu5827]

@@DrNic oohh...I see..Thanks a lott Ma'am for the clarification

[@johnstuart6002]

"You can read it from the table" *shows actual table

[@fozangardezi6163]

I do not know how much time it would had taken to understand without this video.

[@SarahCrookall]

Showing the actual table is incredibly helpful for us visual learners! Thank you!

[@WojciechowskaAnna]

I love when math is explained in more intuitive terms, focusing more on meaning and "connecting the dots" rather than strict deriving forumula after formula (even though its also needed), well done!

[@DrNic]

That is what I aim at, so it is gratifying to hear that I am succeeding.

[@mahaprasadm9770]

Probably the best video on KZbin related to Confidence Interval!!!!!!!!!!

[@DrNic]

You are too kind. I actually think my earlier video, understanding confidence intervals is a little better. ;)

[@cindyo6298]

Wow, this is one of the clearest videos I've ever seen on KZbin, and it got right to the point. Excellent.

[@AhmadKaako]

Thanks a lot! Great statement for clarification at 4:19 about CI : "This is not the interval that will hold the weight of 95% of the apples in the orchard: It is the interval that we have 95% confidence will contain the true value of the population mean"

[@ayosiku2]

You are a life saver. I hope you will continue to do this great work for years to come. i have been going through tons of tutorials and I find this refreshing. taking a data science course.

[@DrNic]

Great to hear!

[@thesmiffable]

Honestly learned more about CIs in your two videos than an entire 4 year undergrad in biological sciences - It is taken for granted that you just know these things. Thanks for a well explained video.

[@ramielwan48]

As much as this explanation was simple as much as it was complex for the creator to produce. Appreciate the well put explanation.

[@DrNic]

Thanks - it can be difficult to make things seem simple. My son did a great job with the editting too.

[@linoykohen5923]

Thank you very helpful almost at a 3rd grade level with your tone of voice and examples it makes it so much easier to understand

[@studymapai]

Not all heroes wear capes. Thanks a lot. I’m watching this 4 hrs to my exam and you may have just saved me. 😂

[@DrNic]

Glad I could help!

[@inv8890]

....I have no words to describe your effort. ma'am, I with you love and happiness.

[@videoaks007]

Explained it in so simple and understand able way. Thanks. I wish my teachers made maths so simple and interesting. Thank you very much DR Nic

[@DrNic]

Glad it was helpful!

[@henrybidar8065]

This video saved my life

[@tomwhitby5838]

+Henry Bidar Never thought STATS is this fun, my lecturer makes it painful but this is delightful

[@kyleburr8453]

I wish you could make videos for all of my classes! You make everything so clear. Thank you.

[@DrNic]

I wish I could too! Any particular requests? ;)

[@abhip4538]

If learning statistics is like mission impossible then you are tom cruise............... hats off

[@DrNic]

That has to be one of my favourite comments. Thank you.

[@abhip4538]

and u r my favorite teacher mam.......

[@anan7b66]

Animations and especially those of the equations is just great. Helps a lot. Thank you.

[@cajunninja8668]

I know I’m late, but you are a Godsend mam. I might actually be able to pass my class because of you. Thank you so so so so much!

[@AndronikosKoutroumpelis]

Aside from the excellent explanation, I love the humor!

[@nihonarekun]

Been watching many statistics videos now, this one has been the only one that's made me smile xD

[@akshittuli1211]

This is the best video about confidence intervals​ which I could find on KZbin !!

[@dakshan]

THANK YOU SO MUCH! Aced my stats quiz thanks to you!

[@stephanietorres6047]

The animations help a LOT! These videos saved me! THANK YOU!

[@adamitinerant]

Thank you for clarifying what hours of reading has made seem impenetrable.

[@cade9491]

Thank you so much, u saved my Biostatistics exam

[@DrINTJ]

1000 times better than Khan Academy nonsense.

[@TheMohit8055]

khan academy video was pretty confusing you are right .. .

[@hazimhuzaifah4359]

exactly right

[@MyteeBumbleBee]

Quite right Mohammed! Sometimes Khan's instructors over explain and fail to stay on point with the subject matter. The result is that I walk away more frustrated and confused than I did before watching the video! Dr. Nic keeps it simple and plain; the way I like to learn!

[@skye-chor]

true that!!

[@harishsivaramakrishnan7096]

Khan academy exists just because it needs to exists! No purpose tho.

[@TheMohit8055]

my lecturer is pretty bad and most of the time teaching himself …. this video was nice .. Thanks keep updating.

[@tinahii7480]

Thank you so much. You just saved me for my upcoming stats exam.

[@MyteeBumbleBee]

Once again you knock it out of the park, Dr. Nic! You got me! I'm subscribing!

[@DrNic]

Welcome aboard! Maybe consider becoming a channel member! kzbin.info/door/G32MfGLit1pcqCRXyy9cAgjoin

[@syednusrath9631]

GREAT VIDEO. REALLY HELPS TO UNDERSTAND CONCEPTS BEHIND CONFIDENCE INTERVAL. THE ENTIRE TEAM OF Statistics Learning Centre IS TO BE CONGRATULATED. WISH TO CONTINUE THEIR ENDEAVOUR IN SIMPLIFING STATISTICAL METHODOLOGY

[@donibrasco1984]

very nice presentations in all of your videos. No extra words , nothing to confuse. Definitely recommendable to others.

[@justinnottelling6148]

This was well explained and easily understood video. I am doing an online course, and this helped me understand the material so much better. THANK YOU!!

[@hazimhuzaifah4359]

simple to understand certain cases... very easy... thank you, its rare to have lecturer like you to makes this video

[@karunanidhimishra4222]

This video has one of the best explanations for CI.. Awesome

[@blueninja7594]

You are amazing. I've been struggling for so long to learn this thing and now thanks to you it seems like a piece of cake! Thank you so much.

[@awaisahmad5908]

Thank you so much Dr. You are the best teacher. I have learned alot in your demonstration. Now i have cleared concepts about confidence interval and point estimator, standard error of mean and t value.

[@DrNic]

Glad to hear that

[@nazifataha8868]

Why didn't I come across this before? I learnt so much and got the basic idea of CI. Thank you so much

[@DrNic]

Glad it was helpful!

[@efeucar2115]

Wow, I am amazed by the fact that you made me understand that in 5 minutes. Our professor does that in 1 hour. :) Thank you so much!

[@DrNic]

Happy to help!

[@lexx8335]

It's ABSOLUTELY AMAZING how much I understand now thanks to this video😢❣👏

[@DrNic]

That is music to my ears

[@sediye]

this is great!, shocking , really. your voice and teaching ability makes it seem so simple. amazing!!!!!!

[@qiaogao4251]

Thanks a lot! Your explanation is quite clear and simple. I really like the way you explain every details of the concept with examples.

[@DrNic]

You're very welcome! I do think really hard about these videos.

[@karannchew2534]

Note for future revision. 4:18 "This is not the interval that will hold the weight of 95% of the apples in the orchard. It is the interval that we are 95% confident will contain the true and known value of the population mean." "If we were to take a lot of samples of size 15, and create 95% confident intervals from them, 95% of them will contain the true population mean. But 5% of them will not contain the population mean."

[@DrNic]

Glad this is helpful

[@karannchew2534]

@@DrNic Very helpful indeed. I have been confused with the definition of confident interval, this videos clarifies. One thing is still unclear to me though. Re: "If we were to take sample of 15 apples and create 95% confident interval from them". This sounds recursive... How to create the 95% confident interval from the samples in the first place (which then used to define the confident interval)??

[@DrNic]

@@karannchew2534 I'm not sure what you are asking. The way to get a confidence interval is to take a sample, decide on the confidence level and use the formula to calculate the confidence interval.

[@karannchew2534]

@Dr Nic's Maths and Stats Thanks for getting back. Let me rewrite the question. I am confused about the following two aspects of CI definition: A) The 95% CI of a set of sample can be calculated using x +- t x s/sqrt(n). If I did that calculation for many sample sets, I end up with many CIs. B) 95% of the many CIs from (A) will include the true mean. There are two "95%". In A, it's 95% of the range under t-distribution of ONE set of samples. In B, it's 95% of the CIs from ALL set of samples. How do I link these two views of CI? Hope my question is clear. I've been stuck with this point for a long time :-)

[@DrNic]

@@karannchew2534 The 95% is referring to the same thing in both instances. The 95% CI in A is called that because of B. You might find this blog post helpful. creativemaths.net/blog/sampling-distribution/

[@andyzhang6305]

You explained the formula in such a clear way, thank you for the hard work!

[@DrNic]

You're very welcome! Thank you for your support.

[@SaurabhGupta-om5ow]

I was struggling with this concept before, but thanks to your excellent teaching skills, I now have a solid understanding of it😊😊

[@DrNic]

That is great to hear. I put a lot of thought into my videos and I have had considerable experience so I am glad I can help you.

[@harishsivaramakrishnan7096]

You, ma’am, are a huge time saver !

[@DrNic]

Glad to hear it.

[@harishsivaramakrishnan7096]

​@@DrNic If you can't explain it to a 6-year-old, you don't understand it yourself. Reminds me of this. Your videos have saved me some embarassment. lol.

[@NikPnchl7]

very nice thanks...The part about what it is NOT is just as useful as to what it IS

[@vladimir_rize]

one of the best explanation ever!

[@DrNic]

Glad it was helpful!

[@fernandou1704]

Your videos are remarkably clear. Much better than many lecturers' I've had. Just a quick comment/question: my Harvard graduate Ph.D. in Epidemiology big head professor told me that I shouldn't make the assumption that "we are 95% confident that this interval contains the true value of the population" because this definition only applies when we are thinking of a hypothetical infinite number of samples (re-sampling/frequentist statistics approach) but never to any specific sample alone. Therefore, the explanation of minute 4:34 would be correct based on what he explained to me, but what you said a few seconds earlier (in minute 4:25) would be imprecise due to this technicality because we can only say this when we are considering broad re-sampling (but never for our single sample). Would you say that he might be correct when saying this? Thanks a lot. Your contribution to people you want to understand statistics is truly enormous with such clear videos!

[@DrNic]

For any specific sample, providing it is random and representative of the population in question, we can say that we are 95% confident that a 95% confidence interval will surround the population mean. The explanation of 4:34 is the statistical meaning of "95% confident". We do not take more than one sample in any instance, so this is the correct interpretation of a single confidence interval. There is always a tension between very very precise definitions and definitions that are useful and useable.

[@BigYellow144]

At 1:08 the s is the standard deviation, which you divide by the sample size n to get the standard error. But later around 3:40 the s is the standard error divided by the sample size.

[@BigYellow144]

Ok I figured it out, she misspoke if you look at her inzight sheet she writes down standard deviation, but says standard error.

[@DrNic]

It’s just the pause is a bit long.

[@PrashanthG]

Helps in conceptual understanding. Really great. Thanks.

[@NiaNicoleXO]

Thanks so much I had an exam & I needed this so bad! God bless you :)

[@xanderk84]

Very clear, thank you. Nice use of animation in this video.

[@hemant8592]

nice presentation very helpful for quick recall

[@YourDad-dh6fj]

This saved me! Math has never been my strong suit, and biostatistics was killing me but this makes sense!

[@EvanLonda]

Thank you so much for posting this straightforward content!

[@DrNic]

Glad it was helpful!

[@fpscppscofficialdoctor3061]

Infinity times best lectures ❤️❤️❤️❤️

[@ca.savanpatel8604]

Best statistics teacher...Thank u so much

[@DrNic]

So nice of you

[@saichaithrik7134]

it is more helpful than my last week 2 hours online lecture

[@DrNic]

Glad to hear that

[@blobmarlis6180]

Great accent. I was in New Zealand for the first six months of the year. I'm already missing it!

[@sashwattarenia258]

terrific lecture...i always found this to be ridiculously confusing but thanx to you guys for clearing the concept..

[@timko6490]

Words cant explain how long it takes to find a youtube video that isn't a derrick like my lecturer. Thanks heaps!

[@DrNic]

Why thank you, Tim. I hope you can use some of the other videos as well.

[@fernandoarthurmesquitagome5066]

I loved the video. Very elucidative and ludic...

[@greatvedas]

Concepts so clearly explained. Thanks Dr

[@DrNic]

You are welcome

[@litian6405]

The best ever explanation!

[@rashaelkhateeb8391]

Oh Thank you so much. I have spent a long time trying to understand my professor. Now I finally understand what he was trying to say but couldnt really communicate.

[@DrNic]

Glad it helped! You were probably nearly there and the video put it all together for you.

[@cha1645]

Richard Funman is right. "If you cant teach it you dont understand it". We had poor teachers in our medical schools. I saw few KZbin videos worth a lot. Thanks.

[@DrNic]

Hi Richard, thanks - statistics really isn't easy to understand so it is not surprising that many people have trouble explaining it.

[@cha1645]

@@DrNic Richard was a Physics professor in US. Anyway u r right. Thanks

[@bharatratan8554]

Simply "WOW" . Thank yu very much ❤️

[@DrNic]

My pleasure 😊

[@rockabc1135]

Wonderful.. Thank u so much for creating such a beautiful content.. really appreciated... Thanks.

[@thinkingai6017]

I learned more in 5 minutes than I did the past 2 weeks

[@DrNic]

That is great to hear. You probably had most of the ideas already and this video helps to organise them for you. Good luck in the rest of your studies. You can find our videos organised here: creativemaths.net/videos/

[@thinkingai6017]

@@DrNic Thank you!

[@richardrio7346]

This is very a reliable lecture 🤗🤗🤗 I learned for just one try. Thank you 😘😘

[@DrNic]

Wonderful!

[@ziashafei1820]

This video is so clear and useful

[@esan120au]

all your CI videos are wonderful. thanks a lot

[@DrNic]

Thanks - I really try to make them as understandable as possible.

[@calvinlparks]

Tank you for this intuitive explanation

[@DrNic]

You are most welcome. Good to hear you find it intuitive - I do aim to make it about ideas rather than procedures.

[@gonzaloalvarez3084]

On a table I refer to, for a sample size of 15 and confidence level of 95%, I get 2.131, your t value of 2.145 appears but for a sample size of 14. However, the explanation is fantastic.

[@DrNic]

Thanks. The number in the t-table is the degrees of freedom. For a confidence interval for a mean, the degrees of freedom is n-1 (or the sample size minus 1). That is why we look up 14, not 15. I realise at 2:25 this is a little confusing. At 2:14 I did put in that df is sample size - 1.

[@muzaalemoses467]

This is very educative and many thanks for the efforts.

[@DrNic]

Glad it was helpful!

[@AwesomeMan-wb5dt]

Super clearly explained and very handy, thanks.

[@Picknikly]

this video is awesome! i made your drawings and schemes in my notebook, it seems so easy when you explain it. Just great!!!

[@SouravDas-eg8ok]

great video. the idea goes into my head very easily which I hardly can forget :)

[@DrNic]

Perfect!

[@kristenpearis2830]

Literally the best video!!

[@DrNic]

You are too kind

[@johnstuart6002]

These are really well done videos!

[@anyijukamark8257]

you have done it soo well mum, thank you

[@DrNic]

Thank you

[@Sarpamus]

very conscise and explanatory. thank you for sharing

[@DrNic]

You're very welcome!

[@Saveg36]

statistics is actually so simple once you understand the concepts. some teachers bounce around too much and fail connect or distinguish different means and sds which is what my classmates and I struggled with.

[@DrNic]

It's true - there are just a few concepts to understand, particularly around samples and populations and once you understand them, the rest is mainly mathematics which can be done using a computer.

[@PharmaEducation1]

Hi, Dr Nic, today I truly understood CI 95%. And I am 95% assured to have your channel subscribed is the only best option. :D

[@DrNic]

Excellent!

[@fpscppscofficialdoctor3061]

Best lectures ❤️❤️❤️❤️❤️❤️❤️❤️

[@PP-io7qs]

Brilliantly Done! Thank You!!

[@frankjacob5157]

fantastic. Clear and concise

[@DrNic]

Glad it was helpful!

[@iKylaAwesome]

I finally got it! Thank you!

[@taisaichan9568]

Thank thank thank you soooomuch Dr.Nic You really helped me

[@DrNic]

That is good news. I like to help people

[@dineshkumarmurugan3281]

Thank you so much :) this saved my life

[@cheerstolife4821]

Wow one of the best I have ever seen

[@DrNic]

Happy to hear it

[@David-ys1dt]

thankyou! great honest easy to understand video about statistics!