How to Calculate a Two Way ANOVA (factorial analysis)

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  • Опубліковано 27 сер 2024

КОМЕНТАРІ • 266

  • @MetropolitanChic
    @MetropolitanChic 3 роки тому +81

    7 years later, and your still helping me in 2020. Passing my final exam now.

    • @mj2625
      @mj2625 3 роки тому +7

      Felt in 2021

  • @statisticsfun
    @statisticsfun  11 років тому +86

    Thanks! 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.
    Good luck on your presentation.

  • @statisticsfun
    @statisticsfun  11 років тому +12

    You are welcome, welcome, welcome! I really appreciate hearing from students and it does make my day to hear that my videos are helping.

  • @Persplained
    @Persplained 8 місяців тому +2

    Still useful 10 years later. Best use of video to explain a topic in a lecture style way, no useless animation but perfectly understandable. That must take a lot of work. Thank you for making these video's. Best video's on youtube for stats

  • @abnormia
    @abnormia 3 роки тому +2

    I watched 2 x 2 hour lectures from my uni about factorial analysis and had no idea wtf he was talking about. I watch this youtube video which is 18 minutes and understand it... you are a life saver! Thank you!

  • @slimahmoud
    @slimahmoud 11 років тому +18

    Amazing Tutorials!! Many thanks
    I have only one comment (kind of silly), but the square of 1.3 = 1.69 and not 1.8
    Thanks again and they are really very helpful tutorials with great explanation...
    Regards

  • @stavanmehta1285
    @stavanmehta1285 3 місяці тому

    one of the only few genuinely decent and complete explanations of two-factor ANOVA

  • @SilenceDestroier
    @SilenceDestroier Рік тому

    You know, channel lives up to it's name, dude made me actually have fun with statistics for the first time in a couple of years.
    Great channel and explanations are top notch

  • @statisticsfun
    @statisticsfun  11 років тому +4

    Awesome!!!!! Thank you for spreading the word and congratulations on your A+. You deserve all the credit.

  • @statisticsfun
    @statisticsfun  11 років тому +3

    Thank you very much for your compliments. I believe the 1.3 = 1.8 is a rounding error. I don't carry all the digits through the entire problem.

  • @afd8507
    @afd8507 3 місяці тому +1

    Saved Me and my final in 2024, insanely helpful video

  • @huichen6461
    @huichen6461 5 років тому

    extremely high quality, very intelligent, and elegant. The speed is great. not slow at all. I can watch it while thinking. I would absolutely ignore any not constructive comments.

  • @paulhan3536
    @paulhan3536 5 років тому

    searched the website for couple days to try to figure out how to solve this by hand and EVERYWHERE i looked... people did them by excel or other programs and just wrote out the answers without showing any work... thank you SO much for this video. helped a lot.

  • @sebastianjensch5203
    @sebastianjensch5203 8 років тому +60

    Advice: Play in x1.25. Great vid!

  • @statisticsfun
    @statisticsfun  11 років тому +1

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

  • @statisticsfun
    @statisticsfun  11 років тому +1

    Appreciate that! Always good to know my videos are helping.
    Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

  • @hasben0
    @hasben0 2 роки тому

    Really apreciate you for taking the time to make all the graphics, makes the leson easy to digest!

  • @IfeanyiUkwuoma
    @IfeanyiUkwuoma 11 років тому

    Greatest Teacher Ever! Am going to tell the Whole World how Statisticsfun made me get an A+ in my Masters Thesis.. Working with Caterpillar Global Mining and I had to apply statistics to determine the variability between coal production and methane emission...with this Video, I looked like a pro :-)
    Hope to see you someday! You are the Best!!! *So Grateful*

  • @statisticsfun
    @statisticsfun  11 років тому +1

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

  • @statisticsfun
    @statisticsfun  11 років тому +1

    Thank you for you compliments. It is much appreciated. Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

  • @xiaxiading7806
    @xiaxiading7806 3 роки тому

    It is my first comment on UA-cam. I can not wait to share it with my friends. It is thousands of help. Thanks for the pretty vision and explanation.

  • @learnwithamber7765
    @learnwithamber7765 9 років тому

    It's very clear when you break it down. Now I know what my professor was talking about!. Thanks!

  • @marisawyman9674
    @marisawyman9674 2 роки тому

    Currently taking my final and I couldn’t do it without this video 🙏🏼

  • @ObhiReads
    @ObhiReads 4 місяці тому

    Very helpful. There are minor mistakes still such a long process anyway gets benefit of doubt. Thanks for the easy explanation

  • @Januaryblues100
    @Januaryblues100 10 років тому

    This video series helped me understand these concepts better than my professor did, you just saved my Pysch Stats grade. Thankyou, very easy to listen to and understand.

  • @statisticsfun
    @statisticsfun  10 років тому +1

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

  • @statisticsfun
    @statisticsfun  11 років тому

    I do have an example of doing Two Way Analysis by hand. I have an entire playlist on Two ANOVA. You can find the link to the playlist in this videos description. The first video in the playlist shows how to calculate Two ANOVA by hand.
    Good luck on your thesis as well. Btw, What is your topic of your thesis?

  • @jokertaylor6492
    @jokertaylor6492 2 роки тому

    This is so precious, thank you so much for making these and uploading these. I'm gonna pass my exam.

  • @kyounokaze
    @kyounokaze 7 років тому

    Thank you for making statistics so much simpler to understand. Your videos have helped me and thousands more.

  • @carlosp.e.bedson4011
    @carlosp.e.bedson4011 5 років тому +1

    Such an awesome video. Thank you so much for taking the time to show so simply and transparently how this all works.

  • @statisticsfun
    @statisticsfun  11 років тому

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

  • @krisghimire6938
    @krisghimire6938 4 роки тому

    Thanks a Lot! helped me understand Two way ANOVA much better from your video than from my professor. Keep making more !!

  • @statisticsfun
    @statisticsfun  11 років тому

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

  • @statisticsfun
    @statisticsfun  11 років тому

    I checked! Holy Cow Batman. You have great ears and eyes and a keen perspective on detail. You are correct.

    • @divyatopwal3190
      @divyatopwal3190 4 роки тому

      Sir will u help me out to how to analyse the data for crd design if the data is based on germination test done in lab.

  • @statisticsfun
    @statisticsfun  11 років тому

    Hi Hannah,
    Not sure why the link does not work. I did add the links in the video description of this video. Hope that helps.
    David

  • @jgrtrx
    @jgrtrx 5 років тому

    I like the clean presentation style. Very nice work.

  • @balayet03
    @balayet03 11 років тому

    You have helped get me one step closer to maybe passing my exam! Thank you!!

  • @statisticsfun
    @statisticsfun  11 років тому

    As always you are very welcome and good luck this week too.

  • @statisticsfun
    @statisticsfun  11 років тому

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

  • @summertummer2394
    @summertummer2394 5 років тому

    Marvellous. You are great. The graphical interface you use is excellent.

  • @michaeljoppa2155
    @michaeljoppa2155 8 років тому +18

    at 12:49 in the video you show that the boys score of 6-7= (-2.0)2 Wouldn't it be (-1)2? Plus isn't the sum of squares equal to 31?

    • @JasTheKariol
      @JasTheKariol 4 роки тому

      28 is the correct sum of squares if the correct value is considered for (6-7)² = 1 instead of 4.

  • @statisticsfun
    @statisticsfun  11 років тому

    Thanks for that. I will double check the video. I appreciate the help.

  • @statisticsfun
    @statisticsfun  11 років тому

    Good catch. I hope (I don't think) it makes a difference, but I will correct that when I revise the video. Thanks again for the catch, you have an eve for detail.

  • @CMAuProductions
    @CMAuProductions 10 років тому +3

    I cannot express my thanks enough. These videos are great!

  • @ericthehalfabee1
    @ericthehalfabee1 9 років тому +1

    Thanks very much, sir. Most illuminating indeed! Deeply appreciate your taking the time to help out folks like me, who have been struggling with this.

    • @statisticsfun
      @statisticsfun  9 років тому +3

      Eric Smith Eric, I always appreciate hearing my videos are helpful. I spend a tremendous amount of time on them (about 8 hours for every minute of video). Hopefully you will like, share, subscribe, If you get a chance could you please like our FB page. www.FaceBook.Com/PartyMoreStudyLess
      It will help others find the videos.

  • @bogdandobondi8128
    @bogdandobondi8128 11 років тому

    Awesome! Purely awesome. You put the fun back into statistics - the fun that got sucked out by the book of John A. Rice. With all due respect to him.

  • @sarah-louisedench3373
    @sarah-louisedench3373 9 років тому

    Amazing! Thank you so much. Not only can I do this now but I actually understand the logic behind it, and at a brilliant pace. Thanks! :)

    • @statisticsfun
      @statisticsfun  9 років тому

      Sarah-Louise Dench You are very welcome. If you get a chance make sure you like and share the videos, it will make it easy for others to find them.

  • @Kevin2341
    @Kevin2341 10 років тому +1

    Oh, and thank you very much for the videos, you explain it very clearly!

  • @brendapoole8490
    @brendapoole8490 5 років тому

    I enjoyed watching the video on the two-way ANOVA design. I finally learned how to compute the measured to interpret the data. Also, a big thank you for demonstrating such great examples. Thank you!

  • @ileanaquintero5002
    @ileanaquintero5002 4 роки тому +2

    Thank you so much! I have an exam this week and my teacher goes through things super fast and textbooks just don't do it for me.

  • @shn1804
    @shn1804 4 роки тому

    Thank you so much for this-Its hard to find such a clear presentation on doing two way ANOVA's by hand

  • @ultinatetruustar
    @ultinatetruustar 10 років тому

    It does seem much easier than I expected. Great videos.

  • @sarahwest4926
    @sarahwest4926 11 років тому

    thanks again for clarifying that SSW is "error." Not getting that concept can completely wreck a calculation---writing a good interpretation is impossible without it.

  • @statisticsfun
    @statisticsfun  11 років тому

    Jenn, nice to hear my videos are helping you towards your PhD. Btw, what is the subject are of your PhD?

  • @wandaparsons8331
    @wandaparsons8331 Рік тому

    Thank-you for your time putting this together, very helpful!

  • @christytanner3896
    @christytanner3896 3 роки тому

    I was going 2 say you made a mistake on SSe but I see it was just wrong on screen. Thank you for doing it step-by-step bc I've been looking everywhere for someone to break it down 4 me. Math is not my best subject...at all!!

  • @andreib8871
    @andreib8871 4 роки тому +2

    Thank you for video! When you calculate Sum of squares for Gender you do this separetly for boys and girls. I expected that for second factor age it would be separate calculation for each category 10YO, 11YO, 12YO. Could you please clarify why it is used different approach for caluculation sum of squares for factor 1 and factor 2?

    • @shobhitverma3290
      @shobhitverma3290 2 роки тому

      I had the same question. Although the final answer is correct, calculating means based on Age would have been more intuitive.

  • @sergioc2989
    @sergioc2989 10 років тому

    Thank you!!! so much!!! you can't understand how much this video help me!! really! thank you!

  • @IR240474
    @IR240474 6 років тому

    Thank you!! This was really cool and well explained - going for part 3 then to bed, Two-Way ANOVA at 10am

  • @gissellest333
    @gissellest333 Рік тому

    Thank you so much, I'm finally getting this.

  • @coldpineapples9328
    @coldpineapples9328 5 років тому +1

    great vid!! very comprehensive and easy to understand!!

  • @PatrickQ
    @PatrickQ 8 років тому +2

    Excellent! Very nice presentation, and very clear. Thank you for taking the time to put this together. I don't suppose you might do a video on the estimation of parameters in linear regression models?

  • @kirbyy
    @kirbyy 11 років тому

    thanks so much for these videos!! im doing complex analysis for my thesis and these help me a lot in understanding the reasoning behind it all. though its too bad you didnt show how to calculate the interaction by hand i am curious about that too.

  • @yasser19781
    @yasser19781 10 років тому

    This vedio helped me alot in analyzing my data for my project , many thanks

  • @hilalozkececi1900
    @hilalozkececi1900 9 років тому +1

    thanks a lot for the effort, statistics isn't a nightmare anymore!

    • @statisticsfun
      @statisticsfun  9 років тому

      Hilal özkeçeci Glad that you are no longer having statistics nightmare, best to keep your dreams to happy dreams. Hopefully you will like, share, subscribe, If you get a chance could you please like our FB page. www.FaceBook.Com/PartyMoreStudyLess
      It will help others find the videos.

  • @hetvimodi6137
    @hetvimodi6137 6 років тому

    You are so patient with the entire process. Thank you for explaining this topic so well. So do I get an award by mail or what? :D Thanks once again.

  • @pedantsunited5368
    @pedantsunited5368 3 роки тому

    you're a lifesaver

  • @kirbyy
    @kirbyy 11 років тому

    thejamesbond, i wondered the same thing. I calculated the ss for the second factor according to "test scores" and it did give the same result as the method in the video.

  • @bhakthirai8166
    @bhakthirai8166 2 роки тому +2

    how did u get the square of -1.3 to be 1.8? even if u round figure it, it must be 1.7

  • @statisticsfun
    @statisticsfun  11 років тому

    I believe that is a rounding error. Keep in mind that in all of statistics we are estimating, so rounding should not make a lot of difference. It is hard to carry more than one decimal when you are doing calculations by hand.

  • @speedyraptor9
    @speedyraptor9 10 років тому +1

    Please give an example of three-way ANOVA, if you do not mind. Your videos are great!

  • @robbieklein6162
    @robbieklein6162 4 роки тому +3

    For main effects, it would be clearer if the whole thing were framed in terms of a ratio between between groups/factor variance and within-group variance. But for the age factor, you organize the data by gender. This makes the overall functioning of the f-ratio for the age effect unclear for beginners

    • @saebelorn
      @saebelorn 10 місяців тому +1

      I think it may have helped to have mention or emphasise that the within-group variance is calculated for each 'group', 'treatment', however you call it, rather than combining the factors together completely

  • @younessaitoummou7934
    @younessaitoummou7934 2 роки тому

    Thank you very much, this video is really useful !

  • @alexandraxanthopoulou6853
    @alexandraxanthopoulou6853 5 років тому

    you just saved my day my friend

  • @statisticsfun
    @statisticsfun  11 років тому

    I am not sure what Bit string means relative statistics.

  • @sylviaemejuru1956
    @sylviaemejuru1956 3 роки тому

    Thank you very much Sir! I am so grateful!

  • @user-xn2hf9re8r
    @user-xn2hf9re8r 6 років тому

    put simply, thank God you exist

  • @senthilcaesar
    @senthilcaesar 4 роки тому

    Thank you so much for this lecture...

  • @eesa6463
    @eesa6463 6 місяців тому

    Thank you
    God bless you sir.

  • @slimahmoud
    @slimahmoud 11 років тому

    Yes I have noticed that also at the end of the video with the same rounding being made by the software...
    Thank you again :)

  • @a.chikkuchimathematics7386
    @a.chikkuchimathematics7386 6 років тому

    Thank you so much for making it so simple.

  • @jamenlong1097
    @jamenlong1097 9 років тому +3

    At about 7:17, you calculate the first component of the first factor sum of squares. You do this by repeating nine times, the boys average (7.7) minus the grand mean (9) and squaring the result, (7.7-9)^2, then summing all of this to get 16 as the boys sum of squares. It seems that you could get a more granular and accurate measure of the sum of squares if you subtracted the grand mean (9) from the individual scores. Why is this not done? I realize that it would increase the sum of squares and affect the F tests later on, but it seems more accurate. Why is it that using the boys mean in place of each score is acceptable when it seems less accurate?

    • @user-hongkongnews
      @user-hongkongnews 5 років тому

      I think they are two different things. One is called sum of squares between the group, one is called sum of squares within the group. So basically our goal is to see whether different group are the same. So we compare differences between group mean and ground mean, and differences within the group. If they are very different, we reject hypothesis. Think about this way. You probably have three class , which all have average 81 points, 82 points and 83 points. If you calculate average of (81+81+82) to get your group mean, then the differences between each group mean and your ground mean would be very small. However, it is possible that most of students in group one are around 81, while in group two there are some students get 90, while some get 72, which also give average 81. However, obviously these two groups will be very different even if they have same average.Then you calculate differences between each data point in a group and the mean of the group it is in.(called sum of square within) Then, you compare sum of square between and sum of square within. If the ratio is very large, that means your different group perform very different even if they have similar mean

  • @bxatch
    @bxatch 4 роки тому

    this is so calming

  • @Juriaan93
    @Juriaan93 Рік тому

    Very well explained

  • @user-hi4vy7yq4m
    @user-hi4vy7yq4m 3 роки тому

    Thanks a lot for the explanation!

  • @mandelanwa7472
    @mandelanwa7472 9 років тому

    am so happy to watch this.... I really enjoy it Thanks allot
    # PROUDLY A STATISTICIAN #

  • @_instanze_
    @_instanze_ 8 років тому

    I really love your videos but it would be nice if you would also include the null hypothesis too as that is usually most of points

  • @Kevin2341
    @Kevin2341 10 років тому +15

    Around 7:05, you square -1.3, the answer is 1.69 or about 1.7, not 1.8

    • @bonitaliu1030
      @bonitaliu1030 6 років тому +1

      FUCK ME IVE BEEN SPENDING HOURS FIGURING OUT WHAT I WAS DOING WRONG

    • @nathanielpeter5411
      @nathanielpeter5411 6 років тому +6

      He used 1.3 to write it down, the actual value is 1.3333333 or 4/3. squaring that makes it 1.8

    • @jayanthychakrapani3553
      @jayanthychakrapani3553 5 років тому

      Nathaniel Peter ,Thanks a lot!

    • @raizzaannebaria1799
      @raizzaannebaria1799 3 роки тому

      how did it became 1.3333333?😭😭😭

  • @allivecars
    @allivecars 7 років тому

    thankyou u save my life

  • @clockwork4068
    @clockwork4068 4 роки тому

    It's actually mindblowing how most of your audience rely on memorization of 'lo-and-behold' facts and consider themselves to be learning the subject

  • @louism.s.4845
    @louism.s.4845 10 років тому

    Hell man.. If thats for real, then I have absolute believe in the appropriateness of your name!
    By the way thanks for the great video.
    I hate going to the stats lectures and I do not like the stats book too much either. I usually learn by slides only. They are terrible this year. But guys like you make auto-didaction not only possible but the future!
    Thank you so much for all the time you put into this. Although I am not interesting in creating videos anymore after having heard that ratio..

  • @kevinchyung2026
    @kevinchyung2026 2 роки тому

    Thank you for this. This was incredible

  • @arnolddelacruz7822
    @arnolddelacruz7822 4 роки тому

    Awesome video with clear and easy to follow explanation. By the way, is this with or without replication? thanks

  • @paug.2665
    @paug.2665 9 років тому

    So Easy to learn using this video. like like!!

    • @statisticsfun
      @statisticsfun  9 років тому

      Pauline Gustilo Thanks for that! Good luck in your studies too.

  • @raiszakirdzhanov2148
    @raiszakirdzhanov2148 2 роки тому +1

    at 7:08, how did you get 16? I calculated (7.7-9)^2*9=(-1.3)^2*9=15.21, and by my calculation (-1.3)^2=1.69. So, either I'm not able to understand your calculation or you made a mistake. Please, explain it to me! for what did you round a few your calculation?

  • @hannahwilliams9983
    @hannahwilliams9983 Рік тому

    Is this a type 1, 2 or 3 sum of squares? I know it doesn't matter because it's balanced but I am curious?

  • @woRstbB
    @woRstbB 9 років тому +1

    Hi, can I have more than two independent variables for 2-way Anova :)?

  • @anonymous47667
    @anonymous47667 11 років тому

    Unfortunately, the link for related videos does not seem to be visible. The graphic appears directing to related links, but the link is not visible. Please advise.

  • @azzam451
    @azzam451 4 роки тому

    thanks , your video really helpfull

  • @InggoDC
    @InggoDC 10 років тому

    This is a great! a simple yet step by step guide. Taught me well