Chi-square tests: Goodness of Fit for the Binomial Distribution

I work through an example of testing the null hypothesis that the data comes from a binomial distribution. I do this for two tests, one in which the probability of success is specified in the null hypothesis, and one where it is estimated from the data.

Data reference

The Larry Bird free throw data based on information in:

Wardrop, R.L. (1995). Simpson's paradox and the hot hand in basketball. The American Statistician, 49 (1), 24-28.

[hotandcutericky]

This is MUCH easier to understand than a two hour lecture

[jbstatistics]

I'm glad to be of help. I've got lots of good stuff on this channel :)

[assansanogo]

it's so clear, it becomes art. Thx for such a great job!!!

[rahsaansargusingh]

Thank you so much this was very very very, simple and straightforward. This video answered all my questions with no waffle added.

[ashutoshsharma]

I don't know how I ended up here but boy am glad that i find you. Great content and to the point. Cheers.

[supercitty]

legend for getting me to understand degrees of freedom using a basic example. THIS IS HOW TEACHING SHOULD BE DONEEEE

[jbstatistics]

I'd love to do videos on order statistics, and may get around to it at some point in the future, but I've got a lot of other topics lined up before that. Cheers.

[geunik]

A day before my final math exam, I'm going through your video, thinking

WHY COULDN'T I FIND THIS BEFORE D:

[balajitj]

Thanks for your wonderful videos. Love the way you teach concepts.

[MrAndreaCaso]

We need you! Thank you so much again. Come back and publish something, please. And if you have a channel on Patreon I'd be happy to support you!

[rewrose]

Thank you for this clear and concise explanation.

My teacher gave an assignment with questions about goodness-to -fit procedure without covering the topic in the class 😒

[PandemicGameplay]

Clear, concise, easily visible to read from a dark screen, what's not to like?

[ThanhThuy-wblm]

thanks for your very understandable explanation :D

[NotJames]

Great video. The old value of chi^2 reappeared at 12:30

[mieproductions]

very well explained video and clear voice. Thank you

[kanacaredes]

Excellent video!!! Very clear...Well done!!!!

[simongomez]

Thank you Justin Bieber, you are the very best. I love you and i hope you keep doing your thang. If you can, come to Bogotá, Universidad de Los Andes. People here love you and watch your videos every day.

[wronski]

Very nice video. Actually, the entire set of videos on statistics is very good. Concerning the video. How would the above methodology generalize if we had multidimensional contingency table. Say, count the elements in 5 boxes, where each box can hold 5 different elements. In this case we would have 16 degrees of freedom. More precisely, how would we compute the theoretical frequencies for the cells, assuming uniform distribution?

[yasinzamani]

Why didn't you calculate two-tail p-value?!

[Leonardo-jvls]

Thank you a lot for the help. Your videos are amazing. But just one question here. In the last part, in the test of the binomial assumption hipotesis, should not the hipotesis be "H0: Larry bird's number of success...a binomial distribution WITH p = CALULATED P". I mean. Why its not mentioned the calculated probability value when it's used to calculate wheter it is a good binomial aproximation? I really got this question. And other doubt is: How can i be sure to use a binomial distribution as aproximation, if the chi-squared test don't prove it's a good aproximation, but only shows evidence that it can't be refused? It is so complex.