"If you are watching this video because you are struggling at a class right now, I want you to stay positive and keep your head up" I am so moved! Thank you!
for the entirety of my years spent schooling till now at my PhD level, i have never been able to relate ANOVA to real life and cant use excel to solve (except manually) UNTIL i watch this video. GOD BLESS U PLENTY Mr Brandon Rogers
I am shocked to notice, that even a video like this got 4 dislikes.....who the hell are these faceless trolls ? A better job of explaining ANOVA and how to calculate it could not be done....plain and simple !
An accomplished educator. I watch your videos before i deliver my undergrad stats. You make it seem so simple! I have given my students your channel link....they love it.
With profound gratitude and humility, I would like to express my sincere thanks for all that you are doing. You are not only simplifying the complex analyses, but imparting real motivation too. Thank you once again.
Your manner of instructing is great. You've clarified features about ANOVA that I've been struggling to understand. I'm hoping your videos will help me get through biostatistics.
+Yetta Denise Roy Awesome! Glad you found the video clarifying. Only you can get you through biostats though so keep up the hard work and seek help when you need it. Many others don't so kudos to you.
Wonderful! I struggled for hours with other videos and multiple texts. Hard to believe that an hour of videos with you taught me more than several hours of study elsewhere. Thank you!
Thanks Brandon. During my undergradute, I understand the manual way, during my master upto PhD times I understand the SPSS way. Now you made my knowledge complete that I know the excel way. Thanks again Brandon. Keep your good job. Appreciate it.
Very relevant, your a God sent and help me pass my Master degree Stats class. The last time I took stats was almost a decade ago and I forgot everything, I don't think I even did this. THANKYOU.
I am a Dutch student in Applied Biology and laughed when you said ''You will never have to do these by hand, or so I hope''. Because that`s exactly what they expect from us at finals, to do this kind of ANOVA`s and even MANOVA`s by hand.
You are a wonderful, wonderful person Mr. Brandon Foltz!!!!!!!!!!!!!!!!!!!!! These videos are the best! They are so helpful. Also, thank you for the wonderful inspirational words at the end and at the beginning...I thought it was cute and funny when my four year old twins really believe it when their videos tell them that their smart...but I can't believe how your words actually helped me.Thank you!
Respected Sir, At First take respect from core of my heart. I am a research scholar of microbiology research laboratory of Presidency University, Kolkata,INDIA.Your presentation helps me to understand the basic part of ANOVA.I am really grateful to you. Thank you again.
While a bit slowly paced, these videos are great! Too many teachers gloss over the nuts and bolts of statistical analysis and test only on whether or not students can identify whether p is less than 0.05.
Mister Foltz, I have to say, your video's are one of the best tutorial video's I have seen so far on any subject. I wanted to express my gratitude for your contribution to accesible knowledge and understanding, and hope you will continue your efforts in conveying your specialism towards others.
I usually dont comment on youtube videos ...but I really wanted to thank you for the amazing explanation. You saved me just right before the exam. Many thanks again
Honestly speaking, I've been given papers to read using these statistics concepts to prove their hypothesis, and I wish I had seen these videos earlier, which could have saved me tons of time.
Thanks so much for these videos. I love them and the quotes too are very encouraging. Your tone of instructing is really exciting. I'm comfortable with all your analyses. Thank you, thank you, thank you so much. Indeed, one generation plants a tree, another bears the fruit. It moved me a lot.
You are much welcome. So you caught my gist: "another generation bears the fruit" is actually the way your quote sounds in my heart.Thanks for sharing! There is love in sharing. He who disperses increases and him that withholds lacks. Your children generation can not be stranded. I bet you!
Hello! If you are only comparing two groups, then you would not use the ANOVA procedure. For that you would use the independent samples t-test. And yes, I have a video or two on that! :) ANOVA is for 3 or more groups.
Brandon, I have to adulate you profusely for the quality of your teachings and the valuable material you offer. I have 2 quick questions: 1) I got why you multiplied by 2 (3-1) in SSC but not why you multiplied by 7. 2) Can you explain why is that dferror = N-C? Thanks.
Hi Brandon. i hope you are doing well. I want to thank you for sharing your tremendous knowledge that helps students like me in their studies. Your statistics series are really helping me in my masters program. I had never seen such a brilliant teacher in my life. Your work is highly appreciable. Thank you very much & keep on sharing your knowledge with us.
thank you so much for all the videos. I've been studying statistics with your videos for quite some time. They are all very clearly explained. But for this one, I really don't understand why we have to multiply column variance with 7 to get the SSC. SSC is the sum of squares of the difference between column mean and overall mean, right? not between each observation point and overall mean(which is SST). Thank you in advance for your clarification.
Thank you for you prompt reply. In previous videos, you said SSC is the sum of squares of differences between column mean and overall mean, which sounds pretty reasonable. But in this one, you multiplied column sum squares with 7 to arrive at SSC? Could you please clarify?
@@user-ci1xv2jn1l Hi! Nope it's me, I'm here. :) I'd have to go back and watch but I "think" it may have been something to do with an Excel formula. Could you provide a timecode and I can look futher?
@@BrandonFoltz That part in this video(SSC=VAR.S(A2:C2)*2*7) is from around 17:50 to 18:00. You actually explained where the "7" is from. It's the 7 observation points in each column. But I don't get it why we have to do it 7 times. Thanks.
a huge thank you from taiwan for making these amazing videos :) maths is never easy to me, and our statistics teacher is killing us. i got problems studyin on my own cuz i couldnt understand my text book in english, ur videos r really helpful and super easy to understand. though i still didnt pass my mid term, that was the highest mark ive ever had i wont give up on statistics and will work harder to pass this semester. thanks again and pls make more of these awesome videos!!
THANK YOU, thank you so much for mentioning how different books keeps using different notations. I have always had a hard time understanding the terms treatments, factors, groups, levels, replication, etc because of this.
I just wanted to thank you so much for this video! The way these concepts were presented in our class with various "models" didn't make sense at all. We didn't even cover what the between sum of squares actually was either. Great job!
Thanks a ton Brandon !!! That was the best explanation ever.. U made it seem so easy. Will never forget it in future. Please keep doing this good work & helping us out!!! Love the way u teach. Its very engaging.
I wish you were my professor! My professor makes us use the formula and do it all by hand. But your video helped me understand what all the data means. Thank you!
I have never taken an statistics class before so at the beginning of these series of STATISTICS 101 video I was a bit concern about how much I would be able to grasp. These videos are so well explained that I found myself able to follow along. They are incredibly helpful. Thank you very much for taking the time to produce them.
Thank you so much for this video. I have been searching and analyzing different videos during the past two weeks. The instruction in this video is very easy to follow.
This video has been a great help to me especially in preparing my report regarding this matter. Your explanation is very clear, with good audio and easy to understand compared to just reading some researches about it. Even if its my first time to study ANOVA I was able to do it myself in Excel. Thanks a lot. More power!
Brandon, I love your work. However, this particular tutorial was a little confusing. Also, I think you incorrectly stated that the SSC formula is: the difference between each column mean and the grand mean, multiplied by 2 (number of columns minus 1) and then multiplied by 7. The actual formula is the difference between each column mean and the grand mean, SQUARED ( as opposed to multiplied by 2) and then multiplied by 7 (number of observations within each column/group). You are still my go-to so please don't stop making these fantastic videos.
Hello! To find where the differences are, you would have to do a pairwise post-hoc multiple comparisons test like the Tukey HSD, Scheffé Test (equal variances assumed) or Tamhane's T2, Dunnett's C (unequal variances assumed). These are only a few of the tests available out of many. You do those in a stats program like SPSS and it will give you a pairwise table and flag the significant pairs.
I must say you have great teaching skills complimented with your sound knowledge, is truly helping us a lot in Statistics :). Question: SSC calculation in excel with =var.s formula has added multiplier of *7 while rest (SSE and SSTfollow actual formula only which is: Variance * Df. Can you please explain why? SSC= =var.s=variance of columns' means*Df*7(which is count in each column).!!
강인규 Thanks for watching. The video is correct. If you look at the yellow box and listen to the explanation, the *7 is there to "undo" the division that is part of the VAR function in Excel, the s^2 formula at the top. The SSC is n(x-bar - x-doublebar)^2 and SSE is (n-1)s^2.
Dear Brandon, Super helpful videos for my course. I still did not understand why you multiplied by 7 i.e number of rows. You also do it in the 2 way ANOVA, where you dont use Var function of excel to calculate SSC or SSB. Please explain. Thanks.
+Kranthi Bannuru That's because the squared deviation for each value within the column has to be added while computing SSC. So for column 1's first value, the squared deviation is square of (71.71-74.52) and same goes for the remaining values that gives 7 times (71.71-74.52). Same calculation for Column 2 and Column 3 gives 7 as the combined multiple.
Hello Mr. Foltz. I feel so lucky that I was able to watch your lectures. It's soooooo helpful! I was impressed by the way you teach. Thank you so much! I enjoyed them a lot !
About six minutes 30 seconds in, you say that the degrees of freedom for error is N - C but I think its actually: N - 1 (AKA df total) - dfC because the df total = df C + df E. Thanks for making this video; it made a very difficult concept relatively easy to grasp.
Hi Mark and thanks for watching! The overall / total df is N-1 and the df for error is N-C with SSC being C-1. So a 3 x 5 with 15 total observations for example, SST would be 15-1 = 14; SSC would be C-1 = 2 and SSE would be N-C or 15-3 = 12. So SSC + SSE = SST (2 + 12) = 14. Does that help any? B
Thank you for your prompt reply! I agree with the numbers N - C = df error. However, it makes more sense to me, conceptually, to think of df Error as “df Error = df total - df columns” rather than “N - C.” Effectively, we end up with the same answers, because your equation is df Error = df total + 1 - (df columns + 1) or df Error = Df total - Df columns + 1 - 1. It just seemed arbitrary that for the other degrees of freedom equations we subtracted 1 but not for df Error. Once I realized that Df total actually equals df error + df columns it all made sense. Feel free to ignore this response if it's confusing.
Thank you very much for your videos and the time you spent to made them! They're quite clear and in addition easy to follow also for people who are'nt native speakers. like me (german/dutch), I know to appreciate this. Greetings Bettine
Wow thank you Brandon!! I can say I came to this series perturbed because I couldn’t understand what my book was saying!!! But I truly appreciate your series and explanation! Definitely subscribing and your are my go to for understanding concepts I struggle with! Thank you Thank you !! (I like, comment, subscribed, shared, and added to playlist)
thanks a lot Mr Brandon now I can see a light at the end of a tunnel.indeed now I have faith in me when it comes to Biometry II topic ANOVA.um blessed to view this you are saving my life
In general, ANOVA is used to compare 3 or more (continuous data) population means; the chi-square test is about counting...observed vs. expected frequency (discrete data). The frequency data in a chi-square do not belong to any distribution; which is called "non-parametric." So in very basic terms, if you are counting things and comparing that to some expectation = chi-square. If you are comparing 3+ population distributions means = ANOVA.
So so amazing!!! Your vedio literally save my postgraduate study！！！A little bit personal opinion, can U rearrage all the vedios by number so that we know which one to start watching if we have on background in statistic. BTW, your voice is so so charming!!! Your fans from Singapore~
"If you are watching this video because you are struggling at a class right now, I want you to stay positive and keep your head up" I am so moved! Thank you!
My professor should pay you to tutor him to teach him how to teach
My class should find their way to this video and learn ANOVA so that I do not have to come and learn how to teach. :)
I would hire him to tutor me
omg hahahahahahaha hilarious
for the entirety of my years spent schooling till now at my PhD level, i have never been able to relate ANOVA to real life and cant use excel to solve (except manually) UNTIL i watch this video. GOD BLESS U PLENTY Mr Brandon Rogers
It's never too late! You are very welcome and thank you for watching! Keep learning my friend! - B
Just Got My One-way ANOVA crystal cleared !!!
its so weird how this vidoe was released back in 2013 , and now nearing 2020, my syllabus is for this topic is EXACTLY the same
From list of videos i've searched, Brandon Foltz's video will always be my first choice.
I am shocked to notice, that even a video like this got 4 dislikes.....who the hell are these faceless trolls ? A better job of explaining ANOVA and how to calculate it could not be done....plain and simple !
Sanjay Shende Maybe these dislikes are what statisticians call random error. So take it easy.
@@rggary2286 The number has become 40 now. Must be the jealous teachers.
An accomplished educator. I watch your videos before i deliver my undergrad stats. You make it seem so simple! I have given my students your channel link....they love it.
With profound gratitude and humility, I would like to express my sincere thanks for all that you are doing. You are not only simplifying the complex analyses, but imparting real motivation too. Thank you once again.
Your manner of instructing is great. You've clarified features about ANOVA that I've been struggling to understand. I'm hoping your videos will help me get through biostatistics.
+Yetta Denise Roy Awesome! Glad you found the video clarifying. Only you can get you through biostats though so keep up the hard work and seek help when you need it. Many others don't so kudos to you.
+Brandon Foltz Hi Brandon, no offense, but are you a real person or a computer? Your videos are so thorough and clear; I love them.
Brandon Foltz I owe you my life!!!! Thanks to you I learned how to do this on time right before my deadline for my assignment!!! Thank you!!!! 😭
I finally get the idea behind ANOVA with these videos. My exam is in 3 weeks, and I really hope these videos will make the difference!
After all these years...
your videos are still spreading joy and knowledge.
I don't know you, but I am sure you must be a great human.
Thanks!
Wonderful! I struggled for hours with other videos and multiple texts. Hard to believe that an hour of videos with you taught me more than several hours of study elsewhere. Thank you!
Thanks Brandon. During my undergradute, I understand the manual way, during my master upto PhD times I understand the SPSS way. Now you made my knowledge complete that I know the excel way. Thanks again Brandon. Keep your good job. Appreciate it.
Best ANOVA video in the RUclips till the date..
And You made these 7 years before..
May Almighty bless you sir,Many Many thanks for these videos!
Very relevant, your a God sent and help me pass my Master degree Stats class. The last time I took stats was almost a decade ago and I forgot everything, I don't think I even did this. THANKYOU.
Surprise! my exam is next week and it is going to be all by hand! lucky me this is quite an excelent video!
I am so thankful I ran into this video. You explained a complex subject so easily. Thank you so much!
I am a professor, and I am now learning stat from you to teach my students. Just Kidding !
I am a Dutch student in Applied Biology and laughed when you said ''You will never have to do these by hand, or so I hope''. Because that`s exactly what they expect from us at finals, to do this kind of ANOVA`s and even MANOVA`s by hand.
Same. our lecturer wants us to do it all by hand and it is just arrggh. She even uses her own notations and has a template of her own
Thank you so much. I am 55 years old and Grad School. You are making this so much easier.
Thank you for your words! They makes me cry, God sends you on my way! Thank you so much!
You are a wonderful, wonderful person Mr. Brandon Foltz!!!!!!!!!!!!!!!!!!!!! These videos are the best! They are so helpful. Also, thank you for the wonderful inspirational words at the end and at the beginning...I thought it was cute and funny when my four year old twins really believe it when their videos tell them that their smart...but I can't believe how your words actually helped me.Thank you!
Thank you so much! You turned a foreign language into English for me. Much appreciated. You're an excellent teacher.
Respected Sir, At First take respect from core of my heart. I am a research scholar of microbiology research laboratory of Presidency University, Kolkata,INDIA.Your presentation helps me to understand the basic part of ANOVA.I am really grateful to you.
Thank you again.
God bless you, YOU ARE A TRUE SERVANT LEADER, developing people like us for free.
At last. Someone who can make statistics easy to understand. Very good and simple teaching. Thank you
While a bit slowly paced, these videos are great! Too many teachers gloss over the nuts and bolts of statistical analysis and test only on whether or not students can identify whether p is less than 0.05.
Mister Foltz, I have to say, your video's are one of the best tutorial video's I have seen so far on any subject. I wanted to express my gratitude for your contribution to accesible knowledge and understanding, and hope you will continue your efforts in conveying your specialism towards others.
I usually dont comment on youtube videos ...but I really wanted to thank you for the amazing explanation. You saved me just right before the exam. Many thanks again
Honestly speaking, I've been given papers to read using these statistics concepts to prove their hypothesis, and I wish I had seen these videos earlier, which could have saved me tons of time.
I just can't even start to tell you how thankful I am for your videos! You make me love stats!
Thanks so much for these videos. I love them and the quotes too are very encouraging. Your tone of instructing is really exciting. I'm comfortable with all your analyses. Thank you, thank you, thank you so much. Indeed, one generation plants a tree, another bears the fruit. It moved me a lot.
Thank you so much Opeoluwa! And the next generation bears the fruit :) 🍊🍎🍌 Keep on learning and share your knowledge whenever you can.
You are much welcome. So you caught my gist: "another generation bears the fruit" is actually the way your quote sounds in my heart.Thanks for sharing! There is love in sharing. He who disperses increases and him that withholds lacks. Your children generation can not be stranded. I bet you!
Hello! If you are only comparing two groups, then you would not use the ANOVA procedure. For that you would use the independent samples t-test. And yes, I have a video or two on that! :) ANOVA is for 3 or more groups.
Unbelievable! You saved my day. The clarity, the comprehensiveness and the collection of thought was absolutely unmatched for. Thank you so much.
One simply could not ask for a more lucid explanation. Well done!
I enjoyed the videos, I want to thank you. Really, you are spending time and effort for a great purpose, you deserve to be loved and respected.
Thank you Luan! Glad you found it helpful. - B
Brandon, I have to adulate you profusely for the quality of your teachings and the valuable material you offer. I have 2 quick questions: 1) I got why you multiplied by 2 (3-1) in SSC but not why you multiplied by 7. 2) Can you explain why is that dferror = N-C? Thanks.
Hi brandon could you please reply to this question
Hi Brandon. i hope you are doing well. I want to thank you for sharing your tremendous knowledge that helps students like me in their studies. Your statistics series are really helping me in my masters program. I had never seen such a brilliant teacher in my life. Your work is highly appreciable. Thank you very much & keep on sharing your knowledge with us.
You are very welcome! Thank you for taking the time to watch. All the VERY best. - N :)
thank you so much for all the videos. I've been studying statistics with your videos for quite some time. They are all very clearly explained. But for this one, I really don't understand why we have to multiply column variance with 7 to get the SSC. SSC is the sum of squares of the difference between column mean and overall mean, right? not between each observation point and overall mean(which is SST). Thank you in advance for your clarification.
Thank you for you prompt reply. In previous videos, you said SSC is the sum of squares of differences between column mean and overall mean, which sounds pretty reasonable. But in this one, you multiplied column sum squares with 7 to arrive at SSC? Could you please clarify?
ok. I get it. It's an automatic reply. Hahaha....Woo Woo..
@@user-ci1xv2jn1l Hi! Nope it's me, I'm here. :) I'd have to go back and watch but I "think" it may have been something to do with an Excel formula. Could you provide a timecode and I can look futher?
@@BrandonFoltz That part in this video(SSC=VAR.S(A2:C2)*2*7) is from around 17:50 to 18:00. You actually explained where the "7" is from. It's the 7 observation points in each column. But I don't get it why we have to do it 7 times. Thanks.
Broke my heart when you said there is no reason to do anovas by hand... I have this exam tomorrow and I wish my professor heard you say that haha
Yes! Doing ANOVA by hand is absurd in my opinion. It's 2017. Sorry you have to go through that. :(
After 5 years your videos are still useful and will still
thank you for such high quality content!! Thanks to you I'm closer to reaching my goals.
a huge thank you from taiwan for making these amazing videos :)
maths is never easy to me, and our statistics teacher is killing us.
i got problems studyin on my own cuz i couldnt understand my text book in english,
ur videos r really helpful and super easy to understand.
though i still didnt pass my mid term, that was the highest mark ive ever had
i wont give up on statistics and will work harder to pass this semester.
thanks again and pls make more of these awesome videos!!
Best ever explanation on ANOVA...
May your reward for what you do to help students be handsome. You are a gem!!!
No one in the world can explain Statistics as easy as you do..
Took a database marketing course without any prior knowledge of stats - thanks for saving my GPA
This is very reassuring, encouraging and easy to follow. I recommend it to any one having difficulties with basic statistics like me.
THANK YOU, thank you so much for mentioning how different books keeps using different notations. I have always had a hard time understanding the terms treatments, factors, groups, levels, replication, etc because of this.
Dear Brandon Foltz,
Thank you very much for the video. The lecture was very beneficial to me.
Regards
Arjun
I just wanted to thank you so much for this video! The way these concepts were presented in our class with various "models" didn't make sense at all. We didn't even cover what the between sum of squares actually was either. Great job!
Thank you Rick! All the best, B.
I have tried to understand these concepts for a long time. thanks! You are a great teacher.Cynthia
These videos are great on their own, but they're really helping supplement my professors sub par teaching
Thanks a ton Brandon !!! That was the best explanation ever.. U made it seem so easy.
Will never forget it in future.
Please keep doing this good work & helping us out!!! Love the way u teach. Its very engaging.
I wish you were my professor! My professor makes us use the formula and do it all by hand. But your video helped me understand what all the data means. Thank you!
Thank you Brandon for your videos and your genuine care for us struggling students. You are a blessing!
I have never taken an statistics class before so at the beginning of these series of STATISTICS 101 video I was a bit concern about how much I would be able to grasp. These videos are so well explained that I found myself able to follow along. They are incredibly helpful. Thank you very much for taking the time to produce them.
YOU"RE AMAZING BRANDON, I ABSOLUTELY LOVE THE WAY YOU MADE IT EASY TO FOLLOW AND GRASP! PLEASE CONTINUE, you're awesome!
One of the best lectures ever attended.
Your videos make me feel safe.
I cant say thank you enough. I needed this kind of explanation for ANOVA. Thank you, Thank you
Your explanations are so clear, articulate and understandable. Thank you so much for posting these and for the excellent instruction!
I have to do ANOVA by hand for my tests.. so this is helpful. Only wish I found/looked for these at the beginning of my semester.
Many thanks from Mexico, this will help me during my hole life.
Thank you very much Brandon, you have really keep my dream of becoming a great med statistician alive.
You are just an outstanding teacher Brandon...Keep up the good work and keep teaching us in such a plain and simple ways
So glad you are using SPSS.
Thank you for giving me an idea how to teach this topic. You are amazing!
game changer video in my case.
I am truly grateful to you man :D
Thank you so much for this video. I have been searching and analyzing different videos during the past two weeks. The instruction in this video is very easy to follow.
Brandon Foltz you are a savior!!
Very Simple Crisp and crystal clear.. just one word,. Simply Awesome! Keep it up brendon
Amazing job sir! I am doing my thesis for my MBA and this has been really educational for me.
Absolutely great and clearly explained.
Thanks a lot. keep up this good work.
I appreciate clarifying what I am learning in MBA stat class. I only wish I found your videos at the beginning of the semester.. Thank you!
This video has been a great help to me especially in preparing my report regarding this matter. Your explanation is very clear, with good audio and easy to understand compared to just reading some researches about it. Even if its my first time to study ANOVA I was able to do it myself in Excel. Thanks a lot. More power!
Thank you so much for this lecture...
Brandon, I love your work. However, this particular tutorial was a little confusing. Also, I think you incorrectly stated that the SSC formula is: the difference between each column mean and the grand mean, multiplied by 2 (number of columns minus 1) and then multiplied by 7. The actual formula is the difference between each column mean and the grand mean, SQUARED ( as opposed to multiplied by 2) and then multiplied by 7 (number of observations within each column/group). You are still my go-to so please don't stop making these fantastic videos.
Hello! To find where the differences are, you would have to do a pairwise post-hoc multiple comparisons test like the Tukey HSD, Scheffé Test (equal variances assumed) or Tamhane's T2, Dunnett's C (unequal variances assumed). These are only a few of the tests available out of many. You do those in a stats program like SPSS and it will give you a pairwise table and flag the significant pairs.
I must say you have great teaching skills complimented with your sound knowledge, is truly helping us a lot in Statistics :).
Question: SSC calculation in excel with =var.s formula has added multiplier of *7 while rest (SSE and SSTfollow actual formula only which is: Variance * Df. Can you please explain why? SSC= =var.s=variance of columns' means*Df*7(which is count in each column).!!
Singh R Totally agree. I also cannot understand the *7 in calculating SSC
강인규 Thanks for watching. The video is correct. If you look at the yellow box and listen to the explanation, the *7 is there to "undo" the division that is part of the VAR function in Excel, the s^2 formula at the top. The SSC is n(x-bar - x-doublebar)^2 and SSE is (n-1)s^2.
Singh R See my comment below. The SSC is n*(x-bar - x-doublebar)^2 and SSE is (n-1)*s^2.
Dear Brandon, Super helpful videos for my course.
I still did not understand why you multiplied by 7 i.e number of rows. You also do it in the 2 way ANOVA, where you dont use Var function of excel to calculate SSC or SSB. Please explain. Thanks.
+Kranthi Bannuru That's because the squared deviation for each value within the column has to be added while computing SSC. So for column 1's first value, the squared deviation is square of (71.71-74.52) and same goes for the remaining values that gives 7 times (71.71-74.52). Same calculation for Column 2 and Column 3 gives 7 as the combined multiple.
Hello Mr. Foltz. I feel so lucky that I was able to watch your lectures. It's soooooo helpful! I was impressed by the way you teach. Thank you so much! I enjoyed them a lot !
Thank you for sharing your knowledge. You are a wonderful teacher indeed.
About six minutes 30 seconds in, you say that the degrees of freedom for error is N - C but I think its actually: N - 1 (AKA df total) - dfC because the df total = df C + df E. Thanks for making this video; it made a very difficult concept relatively easy to grasp.
Hi Mark and thanks for watching! The overall / total df is N-1 and the df for error is N-C with SSC being C-1. So a 3 x 5 with 15 total observations for example, SST would be 15-1 = 14; SSC would be C-1 = 2 and SSE would be N-C or 15-3 = 12. So SSC + SSE = SST (2 + 12) = 14. Does that help any? B
Thank you for your prompt reply! I agree with the numbers N - C = df error. However, it makes more sense to me, conceptually, to think of df Error as “df Error = df total - df columns” rather than “N - C.” Effectively, we end up with the same answers, because your equation is df Error = df total + 1 - (df columns + 1) or df Error = Df total - Df columns + 1 - 1. It just seemed arbitrary that for the other degrees of freedom equations we subtracted 1 but not for df Error. Once I realized that Df total actually equals df error + df columns it all made sense. Feel free to ignore this response if it's confusing.
Your Videos are the very BEST on Stats!
Thank you very much for your videos and the time you spent to made them! They're quite clear and in addition easy to follow also for people who are'nt native speakers. like me (german/dutch), I know to appreciate this.
Greetings Bettine
thank you :) i was losing the will to live and you have really helped me understand anova!!!
Wow thank you Brandon!! I can say I came to this series perturbed because I couldn’t understand what my book was saying!!! But I truly appreciate your series and explanation! Definitely subscribing and your are my go to for understanding concepts I struggle with! Thank you Thank you !! (I like, comment, subscribed, shared, and added to playlist)
I LIKE YOU TEAHING MECHANIZEMS AND THE ESSENCE TOO
It is quite edifying and enjoyable as well (refreshing remembrance of long-time former studies). Thanks for that.
thanks a lot Mr Brandon now I can see a light at the end of a tunnel.indeed now I have faith in me when it comes to Biometry II topic ANOVA.um blessed to view this you are saving my life
Thank you!!! By far, the best explanation I've ever seen!
In general, ANOVA is used to compare 3 or more (continuous data) population means; the chi-square test is about counting...observed vs. expected frequency (discrete data). The frequency data in a chi-square do not belong to any distribution; which is called "non-parametric." So in very basic terms, if you are counting things and comparing that to some expectation = chi-square. If you are comparing 3+ population distributions means = ANOVA.
Thank you so much. you are a great human being!!
You're the best teacher ever👏🏻👏🏻❤️
Very good video. Helped to build good basic understanding of ANOVA.
So so amazing!!! Your vedio literally save my postgraduate study！！！A little bit personal opinion, can U rearrage all the vedios by number so that we know which one to start watching if we have on background in statistic. BTW, your voice is so so charming!!! Your fans from Singapore~