Two-Way ANOVA - Full Course

What is a Two-Way ANOVA? A two-way ANOVA is a statistical method used to test the effect of two categorical variables on a continuous variable. Therefore, the Two-Way ANOVA is the extension of the One-Way ANOVA.
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► Tutorial Two-Way ANOVA:
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0:00 What is a Two-Way ANOVA?
0:31 One-Way ANOVA vs. Two-Way ANOVA?
0:51 What is a factor?
2:10 When do we use a Two-Way ANOVA?
3:34 What kind of statements can we make with a Two-Way-ANOVA?
3:56 What are the Hypotheses in a Two-Way-ANOVA?
4:50 What are the assumptions in a Two-Way-ANOVA?
5:50 Example of a Two-Way-ANOVA?
6:39 How to calculate a Two-Way-ANOVA?
7:00 Calculate a Two-Way-ANOVA online with DATAtab?
8:01 How to interpret the results of a Two-Way-ANOVA?
9:30 How to calculate a Two-Way-ANOVA by hand?

[@datatab]

If you like, please find our e-Book here: datatab.net/statistics-book 😎

[@mattyork1973]

Vielen Dank. Ich habe es gerade gekauft.

[@datatab]

@@mattyork1973 Super Danke : )

[@happymathsonlinetuition1800]

This is the most brilliant Statistics video I've ever watched. Thank you.

[@mattyork1973]

Thank you for such a clear explanation. It’s the first time I actually understood the ANOVA test. I guess I need to buy your eBook 😊

[@datatab]

Glad it was helpful! : ) And yes maybe : ) Regards, Hannah

[@rehabmohamed5665]

Thanks for this video ❤

[@mdalaminshaikh7543]

Just awesome. There is no words to praise your presentation ❤❤

[@carlostolosa6530]

for 12:49 in getting df, what if we have unequal 'n' for Drug A and Drug B?

[@revisionandthewritingproce846]

Your videos are always miles better than any others. Thank you!!

[@datatab]

Glad you like them and thanks for your nice feedback!!! Regards Hannah

[@ahmadhajhmeidy3593]

What about ANCOVA?

[@datatab]

@@ahmadhajhmeidy3593 Hi thanks! Thias is on our to do list! But I think it will only be there after the summer! Regards Hannah

[@visalratanak2630]

Wonderful
Thanks!

[@thomasmatthews7080]

Thanks! I was having a hard time finding information specifically on effect size across multiple factors.

[@datatab]

Glad it was helpful!

[@dubstar2000]

I'm in the second semester of statistics and I just can't get my head around two way ANOVAs. I'm lost after the first couple of minutes here. Just wont work in my head.

[@panous35]

you are truly amazing...thanks for the videos

[@datatab]

Glad you like them! Regards Hannah

[@duzonaleeahalessandrag.934]

How do I find p and q if I have four groups with Trial 1 and trial 2?

[@danielyesiduribe2905]

Thank you very much! What tool can I use for my factors as numerical variables and my target variable a categorical one?

[@datatab]

It depends on what you want to do, but basically if you have a metric and a categorical variable you can use an ANOVA.

[@YusuphAmosi-gn3es]

Thanks

[@richard.f]

Can I consider the time as a factor? I mean, if I have an intervention, and multiple time records, and I want to understand how time and intervention affects the results, can I use a 2-way ANOVA? Or would I violate the independence assumption? (Assuming all the other assumptions were true). Also, is there a non parametric equivalent for the 2-way ANOVA, just as we have for the 1-way ANOVA?

[@ardeniawira]

Thank you very much! But what if the data is not normally distributed? What is the nonparametric test for two way ANOVA?

[@handetunbak9905]

I was wondering this too. Any ideas anyone?

[@mikahamari6420]

Thank you for clear explanation. I have wondered, why there are so many similar tools in statistics, and ANOVA and linear regression feel very similar. I searched from internet, and it seems that they really are. It was said that you can do with linear regression everything that ANOVA does, and the choice is just a matter of taste. Is this true?

[@datatab]

Glad it was helpful! Well, you can also calculate an analysis of variance with a linear regression. Simply put, to get the results for a factor in an ANOVA, you calculate a regression with and a regression without the factor and then compare these results!

[@mikahamari6420]

@@datatab Great, thank you!

[@nipunthilakarathne2674]

my dependent variable is not normal. so, what check I should choose? Please reply

[@raltonkistnasamy6599]

Thank u ur lectures really help

[@datatab]

It's my pleasure! Regards Hannah

[@sreerajnr9888]

At 12:40 how do we calculate 'n' if the number of elements in each group is different?

[@datatab]

I haven't checked again, but I'm pretty sure that you just add them all up and leave out p and q!

[@nature-vb4br]

superb

[@datatab]

Thanks 🤗

[@sreerajnr9888]

Thankyou so much for this amazing explanation. It would be really helpful if you could answer my doubt. T-test compare the means of two groups whereas Anova compares the variance b/w and within the groups. So, at 2:04 how can T-test be an alternative for Anova? Or is it like comparing means is as useful as comparing variances to understand the effect of the category on the dependent variable?

[@datatab]

Hi, thanks for your question! An ANOVA also compare the means! The Student's t test is used to compare the means between two groups, whereas ANOVA is used to compare the means among three or more groups. Both for sure need the variance to know something about the spread! I hope this was helpfull!

[@resatbuyukkemahli9177]

perfecttttt

[@FanuelMwandulusya]

Try to give example

[@RobbieOMahony]

what is the ss btw

[@datatab]

Hi, in a two-way ANOVA (Analysis of Variance), "SS" stands for "Sum of Squares." This is a key term used in the analysis to measure the amount of variation in the data. In the context of a two-way ANOVA, there are several types of sum of squares calculated. ss btw is the Sum of Squares Between Groups. Regards Hannah