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Nicely explained, simple but effective examples

This is the best video for Degrees of freedom.

man you should make video a lot about statistics,the way how you explain the thing is really simple and good

Awesome explanation!

This video is awesome! Thank you! However I still get confused by the definition. What is the unit of "piece" of information? When we calculate SD, why doesn't the mean count as a piece of information, so that the degree of freedom will be N instead of N?

Well aren’t you good at statistics and drawing and teaching

Brilliant

I’m on Level 2 of the CFA designation and this blew my mind. Thank you for the clarity and simplicity. I feel like I’m walking away with a better understanding of

Thanks for clearly explaining. My conclusion about df: Within a formula if you know already other parameters (not include values of samples), how many minimum values of samples do you need to know for imputing all values of entire samples.

who is this man?!?!??! he should be the professor for the entire world!

stuff like this is why i love internet

Very clear explanation of DF, Thanks, James ! :)

this is just so great i must appreciate your effor and the simplicity woth which you explained the concept,Thank You so much please continue to make such contributions

Beautifully explained! Now it makes 100% sense why Variance and Standard is divided by N-1 instead of N.

I read the comment first, then watched the video - I was not disappointed. This guy is good. W

The way I've been crying over this for 3 weeks and this guy got me to understand it in a 10 minute video

Thanks for your video! But I wanna ask then why for population SD, we don't need to divide by n-1? So why only sample statistics we need to concern the degree of freedom?

What an amazing explanation! I banged my head reading quite a lot, still didn't get it, and watching this video I will remember it forever now! Really great job James! Looking forward to watch more such videos!

This video is amazing! Thank you so much

Dude you did a fantastic job . I tried every where but I was not getting the concept . You did it in one go. Really thanks. Apppreciate it.

best explanation so far,

Thank you. 20 years after leaving college with a B- in statistics, I finally got an idea what "df" is. Thank you.

Thanks for a very clear explanation. I have a question, though. In the example about standard deviation of a sample, since we knew in advance the mean Xbar, then we need to divided by (n-1) since this is the df of this. However, in the formula for sd of a population (assumed that we knew the mean muy) , it is divided by N. Why is this the case? Why can't we use (N-1) as with the sample? Don't we know muy in advance?

Make so much sense now, I'm really thankful for this video of yours. Thankyou so so much Mr. Gilbert.

Why degree of freedom is called degree of freedom(?)

I loved it, thank you so much! Really impressive how you put it so simple

The example of a 100 coin tosses is kinda confusing. I began thinking along the lines of "but what if we do not have the number of heads. Another way of getting the number of heads is to get the outcome of every coin toss. So would the degrees of freedom be 100 in this case?" May I know what is wrong with this line of reasoning?

This video is amazing

Thank you for posting this! Clarifies so much!

Everyone who says this video explains well does not think it through. Yes, like said, the last sample is not needed to get the standard deviation, so they subtract 1 from the n, but why not also use n-1 in the upper half of the formula Σ(X1→Xn-1)? Since the last sample is not needed, why add it? Also, why does the population's standard deviation not need to be subtracted by 1? Since the population's mean is known, the degree of freedom of that is also N-1...

thank you

I watched a few videos and only yours helped me understand the concept. I like graphics!

I am the real James Gilbert

I don't know if you'll ever see this but I have a question that relates to the calculation of sample variance versus population variance, where for population variance calculation, you don't need the n-1 degrees of freedom. Given that you know the mean for the population as well as for the sample and so effectively an n-1 dof, which only 'n-1' not used for the calculation of population variance. And by the way, your explanation of degrees of freedom is absolutely brilliant. Thank you so much for this video

Fantastic explanation!

Many a professor don't clarify what degrees of freedom are in a comprehensive way.

This is amazing!

This is one of the best explanation👋

Certainly the best explanation of df I have come across. Thanks for your effort and ingenuity.

Absolutely brilliant and crystal clear explanation of this concept. Top notch! And the use of the drawing visuals is spot on too, instead of being just a gimic. Hats off to you, Sir!

the best and easiest explanation ever

🙏🙏🙏

Thank you for this video.

but then why do we use n when calculating POPULATION standard deviation...?

wow.

I'm not english but this is the niveau where there are rarely german videos

Brilliant!

very helpful, thank you!

die ist scdhiner!👍🏻

Kind of annoying this wasn't specified as a statistics topic, as I'm trying to get help on the degrees of freedom of 3d objects lol