How to Calculate a One-Way ANOVA by Hand

In this video, we'll learn how to calculate the one-way analysis of variance (ANOVA) by hand. We'll begin by going over all of the formulas you'll need to find the "F-ratio" (the test statistic for the ANOVA), and then we'll complete a sample problem.

[nickvincent]

Hands down the best ANOVA tutorial. This is the only video that made it clear for me!

[mrcpaceo]

Thank you so much for making this video man! You helped me with my inferential stats homework! This was more helpful than the lecture I actually paid for. Thanks again!

[erelayefadabbey]

I found this very interesting and simple to understand.

[mercywambui]

Well wish me luck tomorrow 😢this was so well explained, I don't feel so blank anymore 😃

[AsmoDeuX]

Wow, thank you for making this video/tutorial! This has helped me understand how to get those values which I found really overwhelming and complex when I first looked at it on my module. You explained it better and clearer than my Biostatistics prof, I am glad that I found your video!

This is really helpful, thanks a lot Professor!!

[Dr.CandanEsin]

Such detailed hand made calculations are extremely helpful to understand the logic behind. Thank you.

[mamiavodah]

TG I found your video! I've been tearing my hair out & then some over ANOVA! The online class I'm in is using an online book & program that uses the same exact notation for sums of scores (only differentiating between group level n & nT), but then has 2 diff values for it WITHOUT any explanation! None! Now I finally realize what critical piece they neglected to mention: that 1 value is the sum of the SQUARED scores!! Finally, this makes sense & I can actually complete the 5 online exams for this stuff. Serious TY for making this super clear & manageable. You have perfect timing, speech speed, patterns & explanations!

Book e.g: "ΣX(sq), is either/both the sum of scores for the total or each treatment condition" and "ΣX for each treatment and for the entire set of scores, we have introduced new notation..." Here there is absolutely no mention of sum of SQUARED scores. Then they give this example: SS=24, T=ΣX=30, ΣX(sq)=174 ! ...Wait... What?! If the sum of square differences =24 & the sum of scores =30... then what the heck is ΣX(sq)=174 ?!

[harshitameena]

This video is amazing. Looking at that 7.70 in the end was such a relief. 😭

[erelayefadabbey]

I found this very interesting and simple to understand.

[sabiaislam]

This video is actually awesome..
I never ever expect this kind of helpful video I can find in YouTube.

[EllieFriedewald]

this was the best video ive ever watched youre amazing keep it up!

[pritikakedia]

The video is great and made it very easy to understand.

[adimiirochan]

Wow thank you so much Sir, you have helped me a lot, now I have understood one way ANOVA, remaining Two way ANOVA 😊

[rintu]

Sir, you're amazing. You make stuff so easy to understand. Thank you so much. 💓

[joystephen]

Can't believe I just studied this for my exams today....this was very helpful...thanks kudos

[brazhell]

Far the most structured lecture on this difficult concept. Thank you, sir!

[dr.anilpn]

Thanks for the video, what if MSB is smaller than MSW?

[leilaloo]

Thank you so much for making this. You have helped me understand what I'm doing!

[Dr.CandanEsin]

If not being rude, may I kindly ask what brand of graphic tablet and pen you are using. It is very sensitive and precise.

[actuallyarvind]

That... was simply epic 🤩 most lucid explanation.