How to Interpret the Results of A Two Way ANOVA (Factorial) 

Thank you very much for your compliments. I use a variety of different software including photoshop, 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.

If statistics lectures were as clear as this - there'd be a lot more statisticians in this world! Thank you!

Thank you for the feedback. Getting the pace right is always hard for me, so I appreciate the feedback. Thanks again and good luck in your statistics class.

watching nearly 7 years on, can confirm this video is still excellent as many comments have said as well. Still very relevant to what I am learning in my 3rd year stats class for my bachelor of Psychological Studies. Thank you so much.

Many thanks for your videos...They are clear-cut, leave no doubts whatsoever. I find it essential in learning statistics. Besides your knowledge I appreciate the software you use with such a great ease. All is perfect and esthetic. Besides you upload it free of charge -)))

You are the most ABSOLUTE greatest teacher I have ever seen (or heard)! Keep posting and helping.

Start at 4:45 if you watched the last video in the list. Thank you for these Mr. Statisticsfun

This was a fucking good playlist tbh. It helps a lot that the "long way" was used to demonstrate calculations - helps you understand what you are doing conceptually much better than when short cuts are used.

You are very welcome, indeed! Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

Well Thank You! Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

Thanks! for the help. Your playlist has helped me with a grad-level stat course.

This video is part of a playlist on Two Way ANOVA. I added a link in the video description to the playlist on Two Way ANOVA. I always have a playlist on One Way ANOVA (see link in playlist). This will help you understand how to make these calculations.

Thank You! Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

This is terrific. Specifically with statistics, it's very hard to find clear tutorials, but this is so easy to follow. Well done!

After going through a lot of RU-vid videos in vain to understand this topic, I can easily say this beats other videos hands down in terms of the ease of understanding and clarity. Great work Thanks

Really appreciate your efforts to prepare this video series and sharing with the world for FREE. Thank you.

Thank you very much. This is an excellent and very helpful video for statistics learners. You are a fantastic statistics instructor! I was confused at calculating F value and finding critical value in the course I am taking. Now, I totally understand. Thank you again and again.

Your heart is filled with knowledge and love, that's why your brain is smart and you teach very much well....keep it up my roll model teacher

Thanks. If you were teaching me I wouldn't have a problem understanding, but my lecturers complicate it so much. Some ppl have the knowledge but don't know how to impart it for others to understand.

Calculating an ANOVA by hand will be my entire statistics final. Professor said we'll have to know if it's one-way or two-way by looking at the data we're given. So, thank you for these videos! Also...you have a "voice twin" here on RU-vid -- a video gamer by the username ManlyBadassHero.

Thank you for this video! It helped me so much for my dissertation! Would definitely recommend to all those new to conducting their own ANOVA analyses and importantly how to interpret your results

Thanks a lot ,7 years later your tutorials have simplified ANOVA calculating for me manually and in spss. At least now I can relate to the formulas from my class and handbook. Cheers.

Thank you do much! I have been looking for a clear explanation for a two way ANOVA. It’s clear to me now but very daunting calculations!! Thanks for making this easy..

Can I pay you for this or something? You just helped me pass my final. Thank you heaven sent man I love you

excellent work as usual ... I may suggest saying that df for each factor = levels of the factor-1 ........... keep the magic flowing

I can't thank you enough for this video! It really helped me with understanding the topic. I was having difficulties with some formulas and couldn't find the right video for my presentation until i found this one. A really big thanks to you! :)

You are god send even to this day. I am getting my masters in data science and the statistics lessons we are getting are like drinking through a fire hose. I cannot wait to share these videos with my cohort members. You the statman.

These are taught so slowly and meticulously which is great for a slow stats learner like me. Thank you!

THANK YOU SOOO MUCH SIR FOR CLEARING MY CONCEPT REGARDING ANOVE... I AM SO GRATEFUL TO YOU FOR EXPLAINING SUCH A DIFFICULT CONCEPT IN VERY EASY SYSTEMATIC AND SIMPLE MANNER... THANK YOU ONCE AGAIN SIR

I was struggling so much with understanding ANOVA analysis to the point of going on a nervous breakdown. Thank you so much for explaining it with such clarity! :)

Thank you! These videos ended my confusion on how to calculate and write the degrees of freedom. I really appreciate your slow and methodical approach

These videos will help me pass my research. Thank you

Your instructions are so easy to follow. I start grad school next week. I definitely will be back to watch more of your videos. Thank you!!!!!

Thanks a lot for this video! Repeateв everything after you in Excel and everything is clear! Thanks and have a nice day!

this is just the right and needed video I wanted to watch to learn about ANOVA. Many many thanks.

A very eye opener, truly exceptional video for ones journey to Blanked to satisfied concept... Thank you so much for this simple as well as detailed video on two way anova🙏🙏🙏🙏

You are simply amazing. Your voice and art of explaining with patience are next level.

Thank you so much for teaching two-way anova!

Self teaching multivariate CRO testing and analysis. SO appreciate the videos!

A half sem biostat course overview in just 5 videos :") Our prof suggested this :"")

this is a life saver (i dont understand how the two way anova works from our provided book ToT). idk if you'll ever see this but thank you so much!!!!! ^_^

Any video that shows how to find crit values in a table is a big help. Thank you.

Thank you sir. You have cleared the concept lucidly.

You are a great teacher.. It helped me alot for my biostats quiz

This tutorial helped me a lot to follow step by step. Grateful & thanks

My Professor in class sucks. This is awesome, thank you so much for getting me through Stats and I actually understand it so much better now!!!!! My Professor should just play your videos in class instead of talking, would save me a lot of time.

Thank you so much for all that explanation. You have explained very well. I forgot most of the stuff. I learned that in my biology class about 25yrs ago. Excellent presentation.

Never saw something so beautiful designed for presentation. Great work! Thumb up!

Thank you for your set of 3 vid about this. Wish you good luck and a good health. From Vietnam with love.

this channel is a legend

What a great video. You made it extremely easy to understand. Many thanks!

Thank you so much! I was struggling with this and now I completely understand it wow.

Sir, I bow.. Crisp clear and best!! A perfect video engaging the audiences.

Very nice explanation. Your graphics,charts and animations honestly help a ton.

A topic which looked like a mountain till yesterday, has now become a molehill ! Thanks for the simplified teaching. Would be great if you could also cover up on MANOVA (Multivariate ANOVA).

You are a gifted educator as well as presentation designer! Thank you so much.

Super helpful, the way my professor set up his slides was so confusing. This really cleared things up, I know this is an old video but thanks so much!

This playlist of videos saved my life

Thank You sir. May God bless you.

Thanks for such a fantastic explanation. I can now interpret my 2-way anova results!!! You Rock!

Thank you soooo much. I wouldn't pass experimental psychology without you

Thank you and you are very welcome.

You are welcome. Btw, I am in Kansas City, Missouri USA. Good luck in your studies.

Extremely helpful ! Thank you so much for posting this video and for explaining all the steps in a manner that are very easy to understand.

Thank You Very Much. Simple and easy explanation..Brilliant.

Lifesaver! You make the difficult easy.

The data suggest that age impacts test scores and that gender impacts test scores as well. On the other hand when I combine both gender and age it does not seem to make a difference in the test scores. I would encourage you to watch the first video in the playlist (see video description for a link). I explain how the data is organized and I think that might help you.

Thank you so much! I'm a 1st year highschool student and I was tasked to report this in our statistics class.

Thank you for the video.. I like the pace and clarity on how the operations are explained..

I love the way you teach!Please also make videos about:-Effect size-Cronbach's alpha-ANCOVA-Linear multiple regression-Logistic regression-Statistical power and sample analysisThank you so much!

Actually that is a very good idea. I need to create a video explaining the concept of blocking and why blocking is used. Blocking is used to reduce unexplained variation, without increasing size of experiment. It is taking your large study and making smaller blocks (or groups).

i really did not know hot to interpret cause my professor is worthless ..thats why iam here.. i studied myself and got upto the calculation part.. and for the interpretation part you helped me

I love you, you saved me. Keep up the good work.

Thank you so much my exam is tomorrow and I finally understand everything! You Rock!

Sir, my respects. This is GOLD.

This video was very helpful. Thanks a lot for sharing that!

Thanks a Lot for the simplicity in explaining. Could you please make a presentation on calculation for three-way Anova for three-factor interaction

Thanks ! I love statistics, but i need to learn a lot. You are precise and helpful

Thank you for a very clear explanation. Consider yourself liked and followed.

thank you so much for you video's, they have really helped me understand. For me its easier to think of the calculation for the d.f. for Sum of Squares within (error) as number of observations (18) - number of groups(6)= 12

Oh my goodness! Bless you! I'm not crazy about this stuff but you made it so easy to understand. Thank you!

Thank You, it's a wonderful interpretation

unbelievablely fantastic and helpful!

Excellent! You make life in Stat easy! Thank you!

That was a great playlist which I watched carefully and learn a lot from it. Thanks for the efforts.

And at the end we got primed by the line PARTY MORE STUDY LESS, awesome haha!

Thank you for your wonderful lectures Sir, so conceptually explained, loved all the dedication and hardwork that you put in these videos 🙏

Absolutely amazing! Enjoyed the video!

Yes you are absolutely correct, if the p value is less than alpha you would reject the null hypothesis. I did remove my previous comment I must of fat fingered my answer.

sir ur awesome ..! am Rohini from India love ur teaching I could understand each and every point clearly thank you so much ....

Thank you for the quick reply. Actually I did watch the whole series on 1 way and 2 ways ANOVA, and I found everything extremely clear in your presentations, except for the interpretation of the interaction (or lack thereof) between the two factors. Note that this comments seems to apply to many tutorials I saw (inluding the MATLAB Statistics Toolbox). It is still not 100% clear for me what "when I combine both gender and age it does not seem to make a difference in the test scores" mean.

Thank you, great series!

Your videos have been very helpful for me. Thank you!

Thank you for your feedback. I was going to call my website and facebook page myprofessorsucks but went with MyBookSucks instead. A lot students have told me their professors are worthless and to an insult in injury you probably paid a lot of money for your class. Good luck in your classes!

Thank you for these brilliant and helpful videos!

I am just wondering, why did you stop making these brilliant Videos.

statisticsfun i just wana say you are amazing!! you have made this so simple and really helped me! thank you for taking the time to make this video and help us with our studies :) wish you were my teacher!

Thank you so much! Well done and easy to follow. Grateful!

Very Good! I love the way you teach! Thanks a lot.

A tutorial done right. Thank you very much!