The Binomial Distribution and Test, Clearly Explained!!!

The binomial distribution and the related statistical test look really complicated, but a actually quite simple. Here I walk you through both, one step at a time, so that they are easily understood and applied.

If you would like to learn more about P-values, check out this StatQuest:

And if you would like to learn more about 2-sided P-values, check out this StatQuest:

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[monicakulkarni]

On the entire internet, you're the only person who didn't do coins/cards example. God bless you! Thank you for this explanation.

[DeepROde]

It blows my mind thinking that future human generations will have such a great knowledge source on YouTube, I think generations to come will learn statistics from here, you will be remembered as a legend, sir!!

[mainulislam]

"The binomial distribution will tell us what to expect if there is no preference"- that statement just tied up in one string all the scattered information I had so far about binomial distributions. Thank you for this elegant explanation.

[ramprakash]

The way you have broken down the nasty looking formula into easily understandable and relatable stuff is mind blowing . Thanks for creating such videos. Super helpful tht waz. Pls do more of this sort :)

[vishalverma-wxeo]

You really developed a genuine interest in me for statistics. Thanks a lot!

[msawhney]

The world needs more educators like you. Please keep up the good work.

[TheOntheskies]

Just when i thought this formula is too complex. Revelation! Fantas brought it down to earth in human language. Thank you so much Josh!!

[ujjwaltyagi]

These videos blow my mind everyday . Again its 5 am and i am studying stats quest. I'll summarize my understanding for others to see here . What you learned in p value videos about the two sided p-value and the video on 'what are stats model' was used here . Here our model(which was also our null hypothesis) is that both flavours are EQUALLY loved, so both have a probability of 0.5(this is NOT p-value, this is just our model-Remember that a model can be an 'equation' or a 'relationship' between variables) And since are p-value came out to be larger than 0.05 we rejected the alternate hypothesis that one of them is more loved. Our p value was 1 so we FAILED to reject the null hypothesis. BAM!

[innocentlord]

I have said it before and I will say it as many times as it needs to be, Josh, you are a blessing. Thank You. Usually there are certain small details which our professors often skip and those details are the ones upon which advance systems are based but you lacked the initial concept thus it gets difficult. But you put and explain every detail beautifully.

[im_karamo]

hahah the explanation was splendid.. using the pharase "nasty looking formular was the best caption of the presentation." thanks statsquest

[saneeshcs]

I appreciate the explanation of the binomial distribution without using the example of flipping a coin (1000 times!!), instead you used a real-world example, it helped me understand the basic concepts of the binomial distribution. You did an amazing job.

[yutassmilehealsme]

Love your vids because they don’t use much terminology and explain it in the simplest way 🙌 Using diagrams to explain instead of spouting paragraphs makes stats so much easier to understand!

[pranjalchakraborty]

After watching your stat videos before exams my score got a double bam !! .... Thanks for what you do from the bottom of my heart

[fmetaller]

Great video. At the beginning, I was a bit scared by the equation of bionomial distribution, but you have explained it very clearly and in the end it resulted to be very easy. Thank you very much for this video.

[emmanuelbankole]

I've watched 5 videos on this & yours is the only one i understood. Brilliantly explained!

[anuragn.sharma]

This has to be the first comment (in a long time) that I've been inspired to write because of the sheer number of "light bulb" moments your tutorials give me. Great going and thank you!

[yaluntan]

Thanks for explaining the binomial distribution in such a clear way and saving my fragile self-esteem in statistics :)

[christopherivan]

Thank you for these Josh. You are doing an amazing job of making this stuff more accessible to people like me, struggling to improve and grow in my career :)

[jaysonl]

The fanta example really helps understand the value of modelling via the binomial distribution, thanks a lot Josh!

[aezaa_]

Bro you don’t understand how much this video helped me 😭 I’m a homeschooler who’s in 9th grade and this was the work my mom gave me for today. Since I plan on taking college classes very soon, she wants to get me started on harder math problems. I was literally on the verge of tears while trying to use the nasty looking way for this. Thank you