How to Calculate a Two Way ANOVA (factorial analysis)

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 270

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว +89

    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.

    • @redkarryn
      @redkarryn 4 ปีที่แล้ว +3

      and yet, priceless when it comes to value!

    • @carlosaldana6039
      @carlosaldana6039 4 ปีที่แล้ว

      Can I use two way anova in solving 3 factor experiments?

    • @socratesoliveira1176
      @socratesoliveira1176 4 ปีที่แล้ว

      Thank you so much, man!

    • @sylviaemejuru1956
      @sylviaemejuru1956 4 ปีที่แล้ว

      Woow!
      Thank you again!

    • @aurorasart9458
      @aurorasart9458 4 ปีที่แล้ว +1

      Thank you for you very nice job!!!

  • @MetropolitanChic
    @MetropolitanChic 4 ปีที่แล้ว +84

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

    • @mj2625
      @mj2625 3 ปีที่แล้ว +7

      Felt in 2021

    • @milcahkwenda
      @milcahkwenda หลายเดือนก่อน

      I’m here in 2024

  • @bro.jdfrancisco
    @bro.jdfrancisco 25 วันที่ผ่านมา

    I'm surprised that this was posted way back 11 years ago, and it still continues to help people up to this day. Thank you so much!

  • @Persplained
    @Persplained ปีที่แล้ว +4

    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

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว +13

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

  • @abnormia
    @abnormia 4 ปีที่แล้ว +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!

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว +4

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

  • @stavanmehta1285
    @stavanmehta1285 8 หลายเดือนก่อน +1

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

  • @slimahmoud
    @slimahmoud 11 ปีที่แล้ว +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

  • @IfeanyiUkwuoma
    @IfeanyiUkwuoma 11 ปีที่แล้ว

    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*

  • @huichen6461
    @huichen6461 5 ปีที่แล้ว

    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.

  • @SilenceDestroier
    @SilenceDestroier 2 ปีที่แล้ว

    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 ปีที่แล้ว +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.

  • @hasben0
    @hasben0 3 ปีที่แล้ว

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

  • @xiaxiading7806
    @xiaxiading7806 3 ปีที่แล้ว

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

  • @paulhan3536
    @paulhan3536 6 ปีที่แล้ว

    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.

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว

    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.

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว

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

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว

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

    • @divyatopwal3190
      @divyatopwal3190 4 ปีที่แล้ว

      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.

  • @learnwithamber7765
    @learnwithamber7765 10 ปีที่แล้ว

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

  • @CMAuProductions
    @CMAuProductions 11 ปีที่แล้ว +3

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

  • @jokertaylor6492
    @jokertaylor6492 3 ปีที่แล้ว

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

  • @sebastianjensch5203
    @sebastianjensch5203 8 ปีที่แล้ว +60

    Advice: Play in x1.25. Great vid!

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว

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

  • @carlosp.e.bedson4011
    @carlosp.e.bedson4011 6 ปีที่แล้ว +1

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

  • @Januaryblues100
    @Januaryblues100 10 ปีที่แล้ว

    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  11 ปีที่แล้ว

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

  • @kyounokaze
    @kyounokaze 8 ปีที่แล้ว

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

  • @afd8507
    @afd8507 8 หลายเดือนก่อน +1

    Saved Me and my final in 2024, insanely helpful video

  • @krisghimire6938
    @krisghimire6938 5 ปีที่แล้ว

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

  • @bogdandobondi8128
    @bogdandobondi8128 11 ปีที่แล้ว

    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.

  • @balayet03
    @balayet03 11 ปีที่แล้ว

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

  • @michaeljoppa2155
    @michaeljoppa2155 8 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @bhakthirai8166
    @bhakthirai8166 3 ปีที่แล้ว +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

  • @jgrtrx
    @jgrtrx 6 ปีที่แล้ว

    I like the clean presentation style. Very nice work.

  • @ultinatetruustar
    @ultinatetruustar 11 ปีที่แล้ว

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

  • @ericthehalfabee1
    @ericthehalfabee1 9 ปีที่แล้ว +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 ปีที่แล้ว +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.

  • @marisawyman9674
    @marisawyman9674 3 ปีที่แล้ว

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

  • @summertummer2394
    @summertummer2394 5 ปีที่แล้ว

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

  • @coldpineapples9328
    @coldpineapples9328 5 ปีที่แล้ว +1

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

  • @odalovesjustin
    @odalovesjustin 4 หลายเดือนก่อน

    Amazing videos! I´m so glad i found these. Thank you for taking so much time in making these :D

  • @brendapoole8490
    @brendapoole8490 5 ปีที่แล้ว

    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!

  • @Kevin2341
    @Kevin2341 11 ปีที่แล้ว +1

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

  • @wandaparsons8331
    @wandaparsons8331 ปีที่แล้ว

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

  • @sergioc2989
    @sergioc2989 11 ปีที่แล้ว

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

  • @sarah-louisedench3373
    @sarah-louisedench3373 9 ปีที่แล้ว

    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 ปีที่แล้ว

      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.

  • @ObhiReads
    @ObhiReads 9 หลายเดือนก่อน

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

  • @Kevin2341
    @Kevin2341 11 ปีที่แล้ว +15

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

    • @bonitaliu1030
      @bonitaliu1030 7 ปีที่แล้ว +1

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

    • @nathanielpeter5411
      @nathanielpeter5411 6 ปีที่แล้ว +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 ปีที่แล้ว

      Nathaniel Peter ,Thanks a lot!

    • @raizzaannebaria1799
      @raizzaannebaria1799 4 ปีที่แล้ว

      how did it became 1.3333333?😭😭😭

  • @shn1804
    @shn1804 5 ปีที่แล้ว

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

  • @louism.s.4845
    @louism.s.4845 11 ปีที่แล้ว

    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..

  • @jamenlong1097
    @jamenlong1097 9 ปีที่แล้ว +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 ปีที่แล้ว

      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

  • @IR240474
    @IR240474 7 ปีที่แล้ว

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

  • @kirbyy
    @kirbyy 11 ปีที่แล้ว

    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.

  • @PatrickQ
    @PatrickQ 9 ปีที่แล้ว +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?

  • @ileanaquintero5002
    @ileanaquintero5002 5 ปีที่แล้ว +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.

  • @yasser19781
    @yasser19781 10 ปีที่แล้ว

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

  • @hilalozkececi1900
    @hilalozkececi1900 10 ปีที่แล้ว +1

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

    • @statisticsfun
      @statisticsfun  10 ปีที่แล้ว

      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 7 ปีที่แล้ว

    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.

  • @sarahwest4926
    @sarahwest4926 11 ปีที่แล้ว

    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 ปีที่แล้ว

    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.

  • @alexandraxanthopoulou6853
    @alexandraxanthopoulou6853 5 ปีที่แล้ว

    you just saved my day my friend

  • @pedantsunited5368
    @pedantsunited5368 3 ปีที่แล้ว

    you're a lifesaver

  • @andreib8871
    @andreib8871 4 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @kevinchyung2026
    @kevinchyung2026 2 ปีที่แล้ว

    Thank you for this. This was incredible

  • @3939donne
    @3939donne 9 ปีที่แล้ว

    Salamat Pre nakatutulong to!! Talino :))

  • @susanarios7825
    @susanarios7825 11 ปีที่แล้ว

    Very helpful. I have to present a two-way ANOVA to others in the class next week and had no clue how to... now I do. Thanks!
    Also, what computer program did you use to put the presentation where you can move the data, highlight them, etc.?

  • @a.chikkuchimathematics7386
    @a.chikkuchimathematics7386 6 ปีที่แล้ว

    Thank you so much for making it so simple.

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว

    I am not sure what Bit string means relative statistics.

  • @03442279566
    @03442279566 8 ปีที่แล้ว +8

    isnt the square of -1.3, 1.69 at 7:22??

    • @nathanielpeter5411
      @nathanielpeter5411 6 ปีที่แล้ว

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

    • @MT-we3fw
      @MT-we3fw 4 ปีที่แล้ว

      I also struggled for the same question that -1.3 is 1.69. Thanks Nathan for explaining it. 1.3333333 is indeed 1.8 rounded up.

    • @MT-we3fw
      @MT-we3fw 4 ปีที่แล้ว

      @@nathanielpeter5411 but 7.7-9 is -1.3 why did he take 1.3333333?

  • @kirbyy
    @kirbyy 11 ปีที่แล้ว

    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.

  • @ИванКравцов-в4б5э
    @ИванКравцов-в4б5э 3 ปีที่แล้ว

    Thanks a lot for the explanation!

  • @speedyraptor9
    @speedyraptor9 11 ปีที่แล้ว +1

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

  • @statisticsfun
    @statisticsfun  11 ปีที่แล้ว +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.

  • @LWK5247
    @LWK5247 5 ปีที่แล้ว

    It is a very useful video! Thanks a lot *3*

  • @sylviaemejuru1956
    @sylviaemejuru1956 4 ปีที่แล้ว

    Thank you very much Sir! I am so grateful!

  • @user-xn2hf9re8r
    @user-xn2hf9re8r 7 ปีที่แล้ว

    put simply, thank God you exist

  • @raissasantana939
    @raissasantana939 6 ปีที่แล้ว

    amazing explanation!!!

  • @zabikadamzadeh
    @zabikadamzadeh 11 ปีที่แล้ว

    Great explanation!

  • @anonymous47667
    @anonymous47667 11 ปีที่แล้ว

    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.

  • @arnolddelacruz7822
    @arnolddelacruz7822 5 ปีที่แล้ว

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

  • @allivecars
    @allivecars 7 ปีที่แล้ว

    thankyou u save my life

  • @JugadorNo8
    @JugadorNo8 8 ปีที่แล้ว

    Thank you! you are the best!!!

  • @eniola988
    @eniola988 9 ปีที่แล้ว +7

    SO helpful..

    • @statisticsfun
      @statisticsfun  9 ปีที่แล้ว +1

      Linda Adeyemo Great to hear and good luck in your studies too.

  • @senthilcaesar
    @senthilcaesar 4 ปีที่แล้ว

    Thank you so much for this lecture...

  • @raiszakirdzhanov2148
    @raiszakirdzhanov2148 3 ปีที่แล้ว +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?

  • @bxatch
    @bxatch 5 ปีที่แล้ว

    this is so calming

  • @emmaobrien7431
    @emmaobrien7431 2 หลายเดือนก่อน

    Thank you! Great video. Why did you use the averages of each age group from which you subtracting the grand mean instead of using the row means to calculate SS age?

  • @christytanner3896
    @christytanner3896 3 ปีที่แล้ว

    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!!

  • @DerickDickens
    @DerickDickens 8 ปีที่แล้ว

    My reward will be some ice cream. I made it! Thanks for the great video.

  • @chessislife3429
    @chessislife3429 6 ปีที่แล้ว

    Great work!

  • @alvarovalarezo5081
    @alvarovalarezo5081 11 ปีที่แล้ว

    thank you! it was really, really helpful

  • @woRstbB
    @woRstbB 9 ปีที่แล้ว +1

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

  • @mandelanwa7472
    @mandelanwa7472 10 ปีที่แล้ว

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

  • @robbieklein6162
    @robbieklein6162 5 ปีที่แล้ว +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 ปีที่แล้ว +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

  • @jrshah1982
    @jrshah1982 10 ปีที่แล้ว +1

    THANK YOU SO MUCH. I LIKE IT VERY MUCH.

  • @_instanze_
    @_instanze_ 9 ปีที่แล้ว

    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

  • @slimahmoud
    @slimahmoud 11 ปีที่แล้ว

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

  • @InggoDC
    @InggoDC 10 ปีที่แล้ว

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

  • @Juriaan93
    @Juriaan93 ปีที่แล้ว

    Very well explained

  • @sneharajan97
    @sneharajan97 6 ปีที่แล้ว

    Life Saver...thank you