What are degrees of freedom?!? Seriously.

Ever wondered why lecturers often baulk at the idea of explaining degrees of freedom?? Well... it's a tough topic. But here it is. Presented succinctly in all of its delicious glory.

You'll find that in understanding degrees of freedom, you actually are leaps ahead in understanding statistics itself.

1:13 Introduction
3:23 Degrees of Freedom Intuition (WATCH THIS BIT!)
7:33 Standard deviation and descriptive statistics
15:05 Regression
20:28 Chi-squared goodness of fit test
24:12 Chi-squared test for independence

[bettybennett]

Blessings. I’m a 79 yr old grad student. This stuff is rocking my self image

[jesusvelazquezdelatorre]

I'm so impressed with how in depth and without choking you are capable to teach statistics. They are a pretty complex subject, and thanks to you we are getting to understand them, and who knows, maybe some of us even like them. THANKS!

[SiddharthPrabhu]

Beautifully explained! This is a topic that gets glossed over a lot in statistics courses and I really appreciate the amount of time you devoted to it.

[AlexThess]

Hi! Your teaching style is exceptional! You really know how to approach the weaknesses of the students! Keep on the good work!

[taxsi]

if you know maths and desrciptive statistcis already, excep degrees of freedom and use of (n-1) instead of n, the critical explanation for you starts at 13.11 and ends at 15th minute but it's kind of explained away without a real explanation. let me look for the sections about regression etc.

[Ruostesieni]

Just commented on your other video, but ended up watching this too by accident, when I was searching information on degrees of freedom. As a medical student doing research on biostatistic heavy subject, you truly are a lifesaver! Stuff like this really helps me to keep on going instead of needing to go through multiple statistic courses in uni on top of all my other studies and research project work!

[moza]

Thank you so much sir. Please keep up the good work. I'm learning a lot.

[elvisfan]

Probably one of the BEST instructor I have run into in my career or lifetime - most people cannot teach statistics - this gentleman is awesome!

[williamhepworth]

Thanks for putting these together man. I'm not a student; I'm just brushing up on my stats. Your explanations are spot on. Had I had a teacher like you, I wouldn't be brushing up on my stats now (and I had some great mathematics teachers).

[karannchew]

17:13 Only with the third observation that we have a "degree of freedom" such that the regression line can cut through the points, to get the errors and the parameters.

[harrysmyth]

Thank you for actually explaining the meaning behind DF clearly before jumping in to any abstract analysis of numbers. It is frustrating trying to find clear content so thank you for that.

[JoaoVitorBRgomes]

It is even cool to watch stats with you as a teacher! Bravo.

[Unused]

Your pace of delivering is perfect. Can't thank you enough!

[just_mudit]

Big fan Justin, you really don't know how helpful and mind-blowing are these videos for like 'whole world'. I wish you health and happiness in these extraordinary times. Where are you from, as in country and city? I would be fortunate to meet you someday, you're a great guy!

[cecilmcintosh]

Liked the video as soon as i heard his introduction. Summed my feelings about the topic up Perfectly

[mok]

this is the best video i have found online to tell me the DF, it is the independent pieces of information that exists in a sample to predict the main population. if were to predict, we must know the minimal values of independent pieces of sample to do a prediction over the population, generally, the more df the more accurate the prediction from the sample

[sheikhusman]

you changed n to n-1 without any mathematical proof. any other proofs? if we want to inflate the estimate, why not make it n-2? i am assuming there is some robust mathematical reasoning.

[brazhell]

I'm greateful for your lectures, and can say that this specific topic was always somehow incomplete for me, until now! I'm studying calculus, and statistic is a challenge for me. Thank you, and be always healthy!

[stephenday]

1:26 - Relief, I thought that music was going all the way though the video. Awesome video. Best explanation I've found so far.

[SerebralK]

From 17:00, for the next minute: that's where it clicked for me, and I (somewhat) understood what degrees of freedom means. Thank you! Great breakdown.