How To Calculate and Understand Analysis of Variance (ANOVA) F Test.

Visual tutorial on how to calculate analysis of variance (ANOVA) and how to understand it too. The tutorial includes how to interpret the results of an Anova test, f test and how to look up values in the f distribution table. The Anova example is for a one way anova test.
I am rounding in the video, so if you are doing your own calculations you will not get the same exact numbers.
Like MyBookSucks on Facebook!
/ partymorestudyless
PlayList on ANOVA
www.youtube.com...
PlayList On TWO ANOVA
• Two Way ANOVA (Factorial)
Created by David Longstreet, Professor of the Universe, MyBookSucks
/ davidlongstreet

[@statisticsfun]

Thank you very much for your compliments. I use a variety of different software including photoshop, D3, illustrator, HTML5, Final Cut, GarageBand and a few other products. Each video takes me a long time to create. My rule of thumb is each minute of video takes about 12 hours to create, so a 7 minute video takes me about 84 hours of development time.

[@smuffysimmons]

You taught me in 15 minutes what my professor is struggling to show us throughout this semester. True teaching is a gift and a skill and you possess it my friend, thanks a million!

[@statisticsfun]

Brian Simmons Great to hear. Make sure you tell your classmates. You could even write big on your classroom White board.... MyBookSucks.Com "Party More Study Less"

[@karlnikolasalcala8208]

Possibly the clearest, straight to the point, easiest to understand tutorial of ANOVA in the internet

[@statisticsfun]

I appreciate the feedback because the pace is always hard for me to determine. The KZbin audience is very diverse! Thanks again.

[@helenalapurga847]

8 years later and it's still one of the best explanations I've seen. Thank you!

[@robertoconnor1191]

Retired vet starting over. Outstanding common sense approach. Academia in plain speak. You just made school life less complicated. Hope you hit lotto! Thanks for your efforts.

[@TheBarelySane]

My STATS exam is tomorrow and after revising for ages, this video has made it all fall into place! I cannot express the amount of gratitude I feel toward the person behind the voice right now!

[@Rayexar]

2 hours worth of lectures in less than 15 minutes

[@mattowens3421]

This is called effective teaching. Most of us are used to ineffective teaching and end up on KZbin to learn for free while paying thousands of dollars to be taught grand ideas of watered down horse piss.

[@ael2996]

True bro

[@anthonygikuri]

@@mattowens3421 Sure!!! You Tube is more than a social platform as many call it

[@armeloummaemble1043]

Finally someone that can explain things so every one can understand. Great job.

[@MatthewFDeSimone]

I usually don't post comments via youtube, but I can't not express my gratitude for these videos. They are a phenomenal help. Thank you, genuinely.

[@statisticsfun]

Great to hear! My goal is to use 21st tools to help learning and someday make education as creative and engaging as video games.

[@devendrapandit175]

Great Video David, which tool do you use to create these videos?

[@pranjaljain7627]

Great Job Sir. Thank You :)

[@thankgodgodwin5574]

You are absolutely Good with ur method of teaching I do appreciate your effort for me to understand It clearly.

[@aarondembe]

What makes this presentation so nice is the near-complete avoidance of statistical symbols, that so often confuse more than they help. SSB, SSBG and SSA are all used in various places for Sum of Squares Between Groups, and since the symbols vary, they are not reliable or trustworthy, and do not signify what they are meant to, and therefore are useless. Your approach of presenting the terms using English words is the way to go. Thank you.

[@ChumpyZhang]

I think it is important to state what is H0 and H1 before you start comparing the F value the critical value. I somehow get lost about what the whole objective of doing this ANOVA.

[@peadardavey1230]

+Xiaochen Zhang I was thinking the same thing Xiaochen Zhang!!!

[@minlixu6101]

Totally agree. What is the whole point of doing ANOVA ? So in this case the F=22 >3.89 means the employees are indeed significantly more depressed or what ?

[@acpf4f]

+minli xu Ho: no effect. No significant difference in depression. Reject Ho. sufficient evidence to support H1. Am I right?

[@shelper]

null hypothesis means that there is no difference between groups, they come from the same population

[@cueva_mc]

No, the test is significant; ergo, different shifts produce different amount of stress.

[@ivanhuerta52]

Much easier to have someone explain it to you through video than reading it through a book. Short, sweet, and simple to the point.

[@statisticsfun]

Ivan -- how true! I have often thought many concepts in statistics (and mathematics) is much better in an animation than a book. If a picture is worth a 1,000 words, imagine how many words an animation is worth -- a million?

[@kkim1100]

100% comprehensible in only 14min, I would love to have you as my teacher thanks alot! :)

[@statisticsfun]

+ss nimble You are very welcome, Hopefully, you will have a chance to like, share and even like my FB page (www.FaceBook.Com/PartyMoreStudyLess). This will help others find the videos.

[@Duveng1]

It's so much easier to learn things if it is given to me as steps. Whenever a teacher gives me a formula and explains how to use it I forget right away. Following steps like this is so much easier for me to rationalize. Thanks for the tutorial, it was a huge help. Keep up the good work.

[@adamusmani3865]

I can't thank you enough for your video!! They've saved me an enormous amount of stress!

[@MrDamu1234]

The pace on this video is perfect!...you didn't rush, you took your time and made it sound so simple..!!! & we are talking about ANOVA!!!!

[@statisticsfun]

I feel your pain! And thank you for such a wonderful compliment. Make sure you like my book sucks on FaceBook (see video description). This will help me ease the pain of all those other struggling students paying a small fortune to uni. Good luck in your classes to.

[@ilpavone31]

I started this video without knowing ANYTHING about ANOVA and after watching it a couple of times I feel like I'm ready to take my stats final tomorrow! thank you so much you're the man

[@viveksingh2629]

Best tutorial video :) I know it must have taken lots of efforts to create this clean video :) Thanks!!!!

[@statisticsfun]

+Vivek Singh You are very welcome. If you get a chance, then like, share the videos. This will help others find the videos too. (www.FaceBook.Com/partymorestudyless)

[@trayfenodonnell5386]

I second that. Well done.

[@itsalloverforme12]

Spent a few hours trying to comprehend this subject, I stumbled onto this channel and am so grateful that you posted it. Thank you.

[@krs186]

Two days before the final, and I finally get it!!! Thanks so much for this, I wish I had found this sooner. Very useful.

[@timetrialsc]

I simply can not thank you enough for this video. I am in an online Masters program, have not been in school for a long time. You have helped me SOOO Much! thank you.

[@ShannonLamberson]

Great video! Thanks for making it. Love the graphics and the pace. The visuals are clear and make a conveluted subject simple to understand.

[@patrickconnors2215]

God bless you! With a calming voice of Sam Harris and the teaching ability of Richard Feynman, you were a tremendous help in my midterm review session! Thank you!!! : )

[@sanarehman382]

YOU ARE AMAZING....cant believe u made this all so easy. ....Thanks a million

[@statisticsfun]

Eu usei google traduzir a sua mensagem de Português para Inglês. Eu aprecio o seu elogio. Boa sorte em suas classes. Fico feliz em saber os meus vídeos estão sendo vistos pelos estudantes no Brasil. I used google translate to your message from Portugese to English. I appreciate your compliment. Good luck in your classes. I am happy to know my videos are being seen by students in Brazil.

[@SaifKhan-ek5ik]

Good one... complex thing explained so simply...

[@statisticsfun]

+Saif Khan That is the goal to take a complex idea and simplify it. If you get a chance, then like, share the videos. This will help others find the videos too. (www.FaceBook.Com/partymorestudyless)

[@mikahamari5994]

This is teacher. Big part of learning is finding the right teacher, just like here we have. Many texts just give blah-blah-blah without examples, and then this takes explaining to ASMR-level. Thank you very much! :)

[@liutenghou]

Thank you so much for this clean and thorough explanation.

[@statisticsfun]

+Leo Liu You are very welcome. Hopefully you will get a chance to share and like the videos. This will help others find them.

[@leoflores2874]

statisicsfun has the best explanation meter and detail I have ever seen online. I am always telling my kids to show their math. The explanation given is the perfect example of what is meant by "show your math." Plus the meter is not only easy to follow but impossible to get lost. Thanks!

[@AasthaKhatiwada]

What are the null and alternate hypotheses we are testing here?

[@speghetti_goblin5264]

THANK YOU!! Today's lecture blew my mind! You managed to sum up an hour and a half of the ravings of a mad man into roughly 15 minutes!

[@5.dot.connector]

Thanks! You very nicely explained the calculations. The only thing I didn't get out of your otherwise fabulous video was: WHAT WAS YOUR 0-HYOTHESIS? (that you rejected)

[@damiananslik6214]

I think the hypotheses were: H0: No difference in stress between groups. H1: Difference in stress levels between groups.

[@pradeepsharma30]

I wasted lot of time to understand this topic, never realized this is going to be so simple concept. Thanks a ton!!

[@jonathankabamba833]

I found the video very interesting. The explanations are simple and clear. I just have one question: what is Ho and H1? or what do you conclude from your findings?

[@kenl7857]

I have the same question.. thank you for asking it

[@MR2SpyerJournal]

+Jonathan Kabamba H0 is always that there is no difference between the variance of the groups. So if his test statistic fell in the green region, he would have stated that there is no statistically significant evidence that there is variance between groups so he would fail to reject H0. That would mean that there is no difference between stress levels of employees before, during, or after layoffs. H1 is the alternative. It is saying that there IS significant evidence to support that there IS a difference between the groups.

[@mathewsphiri5810]

Thanks you much . You are angel sent for my rescue. If not i was going to fail. You style of teaching is amazing ! God must bless indeed

[@YASHIKA8SY]

Thank you! Thank you! Thank you!!!!!! You just brought my stress level down from a 10 to a 2 :)

[@statisticsfun]

You are very welcome! Good luck in your classes too.

[@cherylsmith5508]

This is by far the best tutorial I've come across! Nice slow pace so it's easy to grasp what you're teaching. Calm voice too!

[@martinjedlicka4475]

Video is really well done and easy to follow however I kind a missed explanation what the null hypothesis of ANOVA is in general. Also you used an example (stress level) but in the end, you dropped explaining what does rejection of H0 means in relation to the example. Hope it helps, excuse my english.

[@meshowme]

Your voice and cadence makes it easy to understand what is going on. Please continue doing what you're doing! Thank you.

[@statisticsfun]

meshowme You are very welcome and appreciate the feedback. If you get a chance like my FB page (www.FaceBook.Com/PartyMoreStudyLess), share videos, like and subscribe. It will help others find the videos.

[@juanfel1555]

Can you please post a tutorial about performing a MANOVA with 3 groups and 5 dependent variables? Thanks!

[@nurkoleptik_art]

Juan felipe Gutierrez same request here! :D

[@MrSoulMonk]

I have seen numerous tutorials but this is probably the best. Thank you very much for the brilliant explanation. I will never forget the calculations.

[@yasminelsobky]

0:31 you've stated that you have the same 5 people in each sample! i thought ANOVA must be done on independent groups. Kindly clarify

[@amboltz21]

Fantastic review! I need to refresh for my final project to get my masters degree. I love the speed you explained everything. I didn't have to pause the video a million times to follow you and you weren't writing with a computer mouse that I could barely read. Great Job, I can't wait to watch the excel review. Thank you!

[@RukhsarSanjaree]

Oh my goodness I cannot thank you enough!

[@nafizelgun4003]

I have learned more in the first 2 minutes of this video than i have in the last three 50 minute lectures i have had. Seriously thank you.

[@FatemaRasul]

Thank you so much for this excellent video which cleared my concept. Please publish videos on Multinomial Logistic Regression if you have chance.. I will be waiting for it. :)

[@statisticsfun]

Fatema Rasul You are very welcome and thank you for such kind words. It is my plan to create some multinomial logistic regression videos as well.

[@adamkinsey3139]

I'd encourage you to add the WHY to the beginning and end of this video (as commented @Xiaochen 5 years ago). WHY do we use the F-Statistic? What question are we trying to answer? (Do planned/ongoing layoffs have a measurable impact on employee stress?) And then at the end...did our calculations answer the question/solve our real-world problem? (YES, the layoffs definitely had an impact on employee stress) 90% of the challenge is often knowing how to ask the right question what "setup" needs to be done to answer the question. This video is awesome in that it clearly explains the concept, but could be made even better by better tying the technical details to the real-world question and answer.

[@uniqued]

you're amazing!

[@statisticsfun]

Well, thank you for such a nice compliment.

[@TheGreatnessHD]

It's amazing, roughly 9 years later this video is still very well done and easy to understand. You have a gift good sir. Thank you for the video!

[@Ramboisme]

isnt the degree of freedom always 100 since this is america?

[@christopherbenner7516]

No. The degree of freedom should always be 1776!

[@lynettei1]

you are awesome! my an online research course has a HUGE hole in delivery methods and I am totally not a "book learner". this video was exactly what I needed. can't thank you enough!

[@laureld5204]

So what is the point? All these videos show how to do some calculations and what to look at to say reject or do not reject a null hypothesis, but do little to make that knowledge useful. Your title says "understand" and you start with an example of context, but your ending does not come back to that. The rejection decision is not the end of the story, it is the beginning. If you reject, that means there is something worth looking at and so it is time to do some post hoc tests. Teaching without any context, even a general context, of what it tells us when we have a low p-value (other than "reject Ho") is useless. Computers do the calculations. We need to educate how to define a situation as one we can use ANOVA for, and what our results tell us. It doesn't take much time to add in a short explanation of that.

[@highlandragdoll]

Very late, but I couldn't agree more. I was waiting for the understanding part. I'm struggling a fair bit with research methods, and I think part of it is to understand something, I -NEED- to know it's practical application. So far, through three ANOVA videos, my knowledge of them can be completely summed up as... It's better than a T-Test when it comes to more than two groups. I don't really grasp why. For watching three videos on the subject, that's a pathetic amount of knowledge to take from things...I was waiting all video for him to get to the 'understanding' part .

[@AALEJANDROCC]

There is another video where he actually describes how to interpret ANOVA results kzbin.info/www/bejne/l5uvlaGpgbV4qKc

[@bmgri]

I couldn't agree more. I'm not a student here looking to pass a test. I actually need to understand this stuff to apply it. Not only does this video not return to the initial example that it lays out oh, it also completely fails to explain why any of this is being done or how it works behind the math.

[@100clagman]

Very worthy teaching, I’m calculating my homework as we speak. Very clear modeling, knocking dust off my brain.

[@Blablablarandomguy]

Great video that helped me with my statistics test! A little constructive advice: You sound really bored, I'm sure everyone would enjoy it more if you varied the pitch and tone of your voice more :)

[@zorak16]

Thank you! I found this video to be visually very clean (sometimes visual math tutorials poorly manage the visual order of their steps), well paced, clearly articulated. I was almost screwed for a math test with this type of problem since I failed to understand from my teacher's help. Got the question on the test 100% correct thanks to this video!

[@jinkuprasanna2817]

I wanna see the fools who disliked this video

[@statisticsfun]

+jinku prasanna I have learned over the years, you can't make everyone happy. Perhaps they dislike the subject.

[@jinkuprasanna2817]

Well said... But disliking the likable is what I'm not happy with... Anyway thanks for your concerned positive reply!!! Keep your work up!! Thanks a lot again

[@peterzelchenko]

If you're going to praise a product, you had at least better explain what's right about it instead of threaten people who give constructive reasons WHY it's wrong. This product is clean, but it is not a good-quality teaching of the terms of the expression. I explain elsewhere what the problem is. Can you explain between-group sum of squares? I didn't think so. Neither can anyone else who has watched this video. That's because he didn't teach what he said he would teach here.

[@irisdeloachjohnson9917]

Powerful visual presentation accompanies the verbal explanation. Students should be able to take this information, combined with their readings, to have a better understanding in two vital areas: (a) procedural skill in how to calculate an ANOVA, and (b) conceptual skill in recognizing the information shared by an ANOVA.

[@jthomasstthomas]

Wow. Your techniques are worth more than any lecture I had. In Public Health, I am sure I will use your stuff often. Thank you so much.

[@frankhealy4797]

Bravo!! Far and away the clearest explanation and presentation on this topic in the known universe--thank you kindly for this!

[@SpecialK6685]

I have viewed many, many videos on math specifically statistics and is hands-down are the best. The explanations are thorough and the graphics are great without being cluttered or confusing.

[@shetli15]

I never thought I would learn this in just 15 mins. Compared to the discussion of our professor at school. Thank you so much. We'll be having our finals after 6 hours.

[@Manny123-y3j]

Dude, thank you so much for these videos. I am taking Statistics at Uni and my professor, while a great person, is not great at explaining things. These videos help so much. Thanks again.

[@fjschneider]

This video is at the top in terms of what I was able to find on the topic. It is simple, straightforward, and to-the-point. I would love to see a video from you that dives a bit more into detail on the overall concept of this method! Thanks for the great work.

[@Danieechulaaa]

Thank you for helping me understand this. Literally took me 2 semesters to find your video and I finally understand ANOVA. LIFE SAVER, better yet, grade saver!

[@statisticsfun]

Daniela richardon-ferrera Wonderful to hear and happy you finally found my channel. Make sure you like and share. Also like the MyBookSucks FB page www.FaceBook.Com/PartyMoreStudyLess

[@jenniferlee1607]

Thank you. Your clear explanation and videos will help many whose lecturers have no time to explain. I'm recommending this to my classmates.

[@AugustNocturne]

Absolutely brilliant. Stats profs just know the materials but they just cannot explain them like yourself. Thank you so much.

[@rosscarroll06]

seriously great video man. when i first opened my text book it looked like another language. i skipped that and came straight here. now i get it it. good stuff

[@zentex84]

Great Job. I have read many books and watch many videos on ANOVA and none of them explained it as simple as you did. keep on the good job

[@ArjunPakrashi]

This series is helping me a lot to get the actual feel and interpretation of the ideas. Just a note for a bug in the video at time 8:25 at point 4. the multiplication by 5 should be in brackets..

[@prathameshkumbhar8557]

Wonderful .... I was studying for days to understand this but in 15 min you are able to explain it very easily. Thanks!

[@stephenwilliams3693]

For someone who is trying to open a part of my mind that I probably haven't used in about 8 years, this tutorial is perfect. Explains all the variables, how to find the variables, where to look up degrees of freedom in F tables. I would love to use more of these tutorials. I use Khan Academy as well, and they do tend to rush through problems a bit more. This video is right at my pace! Great job!

[@chuckbecker4983]

Really a very great tutorial. I took intro to stats a couple of years ago and did well, but now I need to refresh in preparation for some econ and planning classes upcoming. This type of video really fit the bill. The only comment I would offer is that the pace is somewhat too slow; it would be more comfortable for me to watch if it was running about 20% faster. Unlike an "in person" lecture, there is always the 'pause' button for those who need a few extra moments for notes or to absorb.

[@a.p3959]

Have not seen a better explanation than this one. Thank you!

[@yasolayla4465]

Thank you for your time and effort in making this crisp tutorial. Such tutorials are very useful for students from under developed countries with limited access to text books and libraries. It also helps students who can't follow the teaching in the class and are shy or scared to ask the teacher. Thank you again.

[@cieraschmid2905]

Thank you thank you thank you! I'm an international student taking statistics in German, and after awhile reading in my second language, my head begins to swim... I had the puzzle pieces but your videos help them slide very smoothly into place. Keep it up!

[@tara0hhara807]

This was incredibly helpful. I watched it before even reading the chapter (Ch 11 One-way ANOVA) and I feel like I have a clear concept of what the text is now going to tell me in 5,000 words... Thank you!

[@kamieog]

Retaking my stats exams for economics, thank god for your videos! I would be screwed without your brilliantly clean and 'straight to the point' videos! I can't thank you enough!

[@statisticsfun]

SLKRJD Good luck on your exam. You can do it

[@arthurvalente560]

Very clear and presented in a logical step-by-step sequence. Extremely useful for those who are interested in learning. Congratulations.

[@justbecause9747]

Thank you for the wonderfully simple and brilliant explanation. I learned more about ANOVA in these 15 minutes than I did in my 75 mins stats class lecture!

[@alexandramikhaylova8033]

I was trying to understand F-value during several days and all information which I found wasn't full, but your video is just perfect! Thank you very much! :)

[@mj2625]

Amazing how a video that's almost 9 years old taught me more than my actual stats professor in a quarter of the time.

[@timothymusole5257]

Thanks a lot ,, as a quantity surveyor pursuing an MBA ,,, I find this very helpful and time saving,,, God Bless!

[@praisekhunwana8814]

I am very happy to come across this.I never understood during lectures for the whole week and this vedio jus in some few minutes clearly made me understand this to the last dot...I am gonna chow anova from now on wards..Thank You sir.You are making an impact..student at University of Cape Town,SA

[@camelspyder1]

Thank for clearing ANOVA up for me. This tutorial is just the help I needed for my Lean Six Sigma BB Certification. Awesome!

[@pedrocolangelo5844]

This video lecture was so enjoyable that I felt that these 14 minutes looked like just 5 minutes. Thank you for it! You got another subscriber!

[@aidenbf]

literally the clearest best explained math video i've ever seen. thanks so much!

[@MrTonloc0105]

thank you so much! Just had ed stats class today and understood t tests but got lost when the professor explained ANOVA. Your video really helped clarify for me and I feel back on track!

[@Lyric-sd5tb]

This video was God sent. You explain things so thoroughly and the visuals are amazing. Thank you so much.

[@xiaoyitian1595]

Every time I meet difficulties during my statistic class or research project class, I would search for your videos and get things solved. Thank you so much sir!

[@racheltruxall4639]

Thank you so very much. I felt like putting my head in my hands and just crying. :)I am taking Biostats right now for my grad degree and the last couple lectures have been kicking my arse!

[@statisticsfun]

+rachel truxall You are very welcome. Good luck in your class too. Hopefully you can avoid an arse kicking.

[@jyhsongyong2748]

First time commenting on a KZbin video. Just had to let you know how much I've benefited from your tutorials. They're simple to understand. Big thanks! And keep the videos coming too.

[@hannahdaphnepresto5243]

best video for cramming midterm reviews

[@ayushvarshney6029]

After spending whole 1 day understanding anova i was nowhere. And finally, i found this video which is not only easy to understand but also the visualisation effects make some slots in your mind which is not easy to vanish. Thanks a lot for all your hard work, this is the best video i found for anova calculation. You are awesome! Could you please share how you made a animated effects (which tool you used to create these visual effects). God bless you!

[@hewa984]

Sir let me be honest, That was fabulous explanation. I am very happy to finally understand it. Many thanks.

[@statisticsfun]

Thanks for the 10 rating. Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

[@kanishkgamer8898]

The best video i watched on Anova. The graphical representation is amazing and concepts are explained very well.

[@maninblack992]

Bless the moment I decided to look up for ANOVA's videos because I couldn't understand anything! Thanks a lot for the video, I'm gonna ace my final tomorrow!