Confidence Interval [Simply explained] 

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Thank you so much for your explanations, which are excellent!I Most appreciate you sharing this content for free for all of us trying to get our head around statistics! Cheers!

This video provides an all too common misinterpretation of what a confidence interval is. 95% confidence interval refers to the procedure in which the CI was created, NOT the probability that a given parameter values lies within a given confidence interval. 2:37: 'If a confidence interval of 95% is given, one can be 95% sure that the true parameter value lies within this interval' That is simply wrong. Frequentist statistics (probability estimates derived from repeated (long-run) measurements from sampling) cannot provide probability estimates on model parameter values, this is a feature of Bayesian statistics. Confidence intervals do not provide a statement about the parameter as it relates to any given sample at hand. It provides a statement of an average performance of the procedure (long-run performance) of drawing intervals that 95% are expected to contain the true parameter value. You can not however, know if any given (random) sample CI will contain the true parameter value. A given CI either does, or does not contain the true parameter value.

Thank you! Well explained.

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The thing I hate about professors is that they are somehow able to always explain the most simplest of concepts in the most confusing of terms. Thank you for this clear explanation.

Thank you for explaining this better than my university

Having my statistics exam next week and I can say you just saved my life. I have been struggling to get this since the beginning of the semester. You just put it up to me in the most astute way everr

Miss, I'm literally about to take exam on this material...😭😭 You explain this much better than my professor. Thank you very much for this, I now understand that the confidence level correlate directly with the Z-level which I can use to calculate the confidence interval. From the bottom of my heart, I sincerely thank you😭😭

Statistics is like mandarin Chinese for me, no matter how much I try I just don't get it

This is very helpful -sir adib student

Who has made the video lecture is a real professional of their work. Not only easy to understand but interesting to watch in some ways!!!

hi, can you please tell me how did you determine na z as 1.96 from the table? I am getting z as 1.65 :(

If you don’t know the value of the population mean, is it possible to know *for* *certain* if the confidence interval contains the population mean?

Wrong definition of the confidence interval. That would be closer to a bayesian credible interval.

Thanks for the video, but I think i've spotted a small mistake, since you are using the sample sd you shold base your confidence interval on the t-distribution, not on the nomal distribution, exept, when your sample size is large, then z and t values are similar.

Incorrect definition of a confidence interval. A confidence interval is a random experiment with known properties; in the limit (if one could repeat the same study infinite times) and computed a 95%CI each time, 95% of the computed 95%CIs will contain the population parameter. A single confidence interval computed in a single sample is not a random experiment. It either does or does not contain the population parameter; we cannot make meaningful statements about the probability that this one 95%CI contains the population value.

how can you assign a probability to the population mean that is constant in frequentist statistics? μ is either within or outside the 95% CI it does not have an associated probability. Right?

Could you explain the s/sqrt(n) part. I guess that std. Deviation equals the sqrt(variance divided by n). So why is there yet another division with n when you calculate the C.I.?

What the video describes is _not_ a confidence interval, but instead a (Bayesian) credible interval. Only the latter allows the interpretation (at 2:33) that "one can be 95% sure that the true parameter lies with this interval." A single confidence interval by itself allows no such interpretation, only a large collection of them from many repetitions of the same experiment.

Thank you for simplifying the concept to a level we can understand

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very useful video. you helped me alot!!

Your explanation is way better and easier than I expected TMY of this site.😍

Anybody can make something apart to be simple when they explain it incorrectly.

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Never seen such a crystal clear examination. Thank you so much❤

Very well explained. In Psychology ( Statistics) it's very difficult to get. Especially from our primary book...... Instead of making clear what the things are, the book just tells you mostly about the properties etc. Not very effective tbh..

Now i realize most US professors cant teach

Re-teaching myself statistics after 15 years is not easy... THANK YOU!

Madam, thanks a ton. Your presentation is simply superb.

Beautifully explained! Short, crisp and easy to understand. Thanks a lot!

Your accent brings my memory back to my Econometrics professor who is from Eastern Europe. She taught lots of statistics that's very hard to understand :)

WELCHES N? Die des sample oder der population? Und alles gilt nur, wenn die Verteilung gleich bleibt.

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This earth needs more teachers like you, thnak you for explaining!

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You are the only channel that clearly explains this topic, you make it so easy to understand. Thank you :)

Well explained mam. Thank you!

good expo

Confusing Less the CI the accurate our answer?

Incredibly easy to understand 👍

Whenever I start to study for an exam I always look at youtube videos for a spesific topic. Very well explained, thank you for video.

I can't express how happy I am that I found your videos. You make statistics understandable!! Thank you! Thank you! Thank you!!

I actually understand all those explanations but the way you pronounce every words feel like something is wrong TT. this would be better if it is with clear pronunciations.

good explanation but the accent gives me headaches

Watching this 4 hours before finals! Pure magic ✨

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Thank you, this is so well explained - life saver!!

I don't know what to say but you make it so simple i really appreciate your efforts

Very helpful thank u mam

Really great video , imma use this for my exam . Thanks a lot

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Lovely.. Well explained

Man this accent sounds like blue cheese, good content though

It’s height not hate

It is more usual to call the sample mean "x bar". It is also more usual, when calculating confidence intervals of means from a normally distributed population, to use the student-t critical value rather than the Z, particularly when you are using the sample std deviation. The formula you are showing here would either be an approximate confidence interval or a large sample confidence interval for the population mean. Also, be very careful when interpreting confidence intervals. In classical (frequentist) statistics, it is not true to say "the population mean will fall within the confidence interval 95% of the time". In classical statistics we assume population parameters are fixed, unknown constants, so apportioning probability to their value is incorrect. The confidence interval is the random quantity here. If you want to correctly interpret a 95% frequentist CI, you need to acknowledge it is the CI that varies randomly from sample to sample and say something like "if 100 samples were taken from this population, and a 95% confidence interval (for the mean) was calculated each time, 95 of these intervals would contain the true population parameter (mean)." If you want to interpret interval estimates in the way you have described in your video, you need to become Bayesian and talk about credible intervals.

It was absolutely fantastic explanation. But, a question...why mostly it is calculated at 95%. Why not 98 or 99% 🤔

You are so talented. Your explanations are clear, concise, direct and accessible. Lovely.

Where were you when I took statistics in college? Oh, yeah, RU-vid wasn't around. Thanks for your clear explanations.

Thank you dear!

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Thank you… Very well done 👍🙏

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Thanks so much for your clear explanation

i love how all the good explanation videos only come after i did my exam 😭

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Thank you so much

Thank you so much

It's normally distributed because of the Central Limit Theorem correct?

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Nice video , I have a question. assuming I have a non normal population and only one sample with its respective statistics, can I assess this confidence interval there? I mean , according to your example I need more than one sample to get a mean of the sample distribution . Please that would really help me

Very well explained! Thank you!

Excellent, wonderful and easy to use explanation. Congrats!!

This was an excellent video !! Thankyou !

There are mistakes in this video.

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Great job. Well explained. Thanks

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It is a useful class..thank u sweet heart.

Excellent explanation. Thank you.

Really I appreciate the way you explain it in simple and understandable way. Thank you so much

I have the z score 1.65 for 95%. Anyone else?

Well presented. Thank you so much!

A world of thanks for this video.

thx great video really get what CI is

what you are referring to is credible interval not confidence interval

Excellent , I like the discription easy to visualize and understand.

Really underrated video.

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Well done! Usually I do not like to comment but I feel like I have to do it now. I have issues with Statistics and soon I have an exam. This video helped me a lot. Thanks!

Thank you queen!!! Helps a lot!

it's so perfect how we use pre/post test in DATAtab