ANOVA 1: Calculating SST (total sum of squares) | Probability and Statistics

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ANOVA 1: Calculating SST (total sum of squares) | Probability and Statistics | Khan Academy

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13 жыл бұрын

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Analysis of Variance 1 - Calculating SST (Total Sum of Squares)
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Пікірлер: 86

@chriskeaten1126 8 жыл бұрын

Wow, is there any subject you guys don't cover? I swear when I become successful, I am going to donate money to you guys. You've helped me in so many classes and in so many ways that there's no way I could ever repay you for what you've done. And to top it all off, it was all for free. You guys are the best.

@domingo2977 7 жыл бұрын

I think Quantum Physics

@ElizaberthUndEugen 6 жыл бұрын

Atcually they don't do computer science, unfortunately.

@walterperrell4898 3 жыл бұрын

How's that successful thing coming along? We need an update!

@phaego_san 3 жыл бұрын

I will too!

@volmo852 2 жыл бұрын

Are you successful yet?

@Shinyflubba 3 жыл бұрын

I havent seen your videos in so long but I was curious about some statistical techniques and KZfaq's search results didnt have you even top 10, but I remembered you being caring and knowledgeable in your videos and I am glad I looked you up specifically. Time to look through the rest of your ANOVA videos. Thank you so much!

@AdrienneJustineXO 8 жыл бұрын

Wow you are an amazing human being. You've been my go to since 2009 . Thank you for making such amazing tutorials available to us students at no cost. :)

@snehat6050 2 жыл бұрын

You've been teaching me since my grade 11 in 2013 and now my MBA in 2021. Thank you so much sir

@chlorind 5 жыл бұрын

I always watch your video when I didn't get in school or college since high school. Now I'm in college and still have your explanation so helpful for my academic! THANK YOU VERY MUCH!!

@ayshajohn2439 8 жыл бұрын

Now I understand what m*n-1 is for thanks it will be much easier to remember now.

@xverc3x 10 жыл бұрын

Thank you so much for all those videos. You helped me a lot !

@giuseppejoseph8890 7 жыл бұрын

I'm going to start using your guides. I got a 78 on my first exam (everything averages to atleast an A- with my labs etc) but I want to do better on the following exams. Besides, I have Experimental next semester and it's a more intense course for psych majors. Thank you for this!

@kyladuplessis1810 2 жыл бұрын

This video literally saved my life a day before having to write a big test. Thank you so much!

@sistranquility 9 жыл бұрын

You make everything so simple! I wish you could teach in Swedish terms but this is already Sooo helpful God bless you

@aladdinkayqubad1645 8 жыл бұрын

Get an internship and translate everything in Swedish...

@w4yn6 10 жыл бұрын

I recall that for chi square, the degrees of freedom was (m-1)(n-1). I don't understand why this should be different.

@kunalmittal1321 5 жыл бұрын

Here is only 3 columns

@jimmyhaotran123 5 жыл бұрын

D.f for this specific case (SST) which he didnt use any other types of mean, but the mean of all the data points combined divided by the number of data points which is 9. Therefore d.f is just n-1. The reason behind this is just that if you know the mean, it simply means after knowing 8 data points, the 9th one has to be an exact number which you could calculate to match with your mean, hence only 8 numbers are free to become any numbers, while the last number isnt free. This is also why you later will find (m-1)(n-1), I dont know if the formula is correct, but by my intuition this is also showing you something similar, when you know the mean of each of the sets individually, that takes away some of the freedom to variate the numbers.

@JenryLuis Жыл бұрын

@@jimmyhaotran123 Thank you very much, jaja I was searching for this explanation! now all have sense

@statdata3973 6 жыл бұрын

This is great, very clear and informative!!!

@shariealcala9558 10 жыл бұрын

you explained it very well ^_^ .. thank you!

@logpos 12 жыл бұрын

THANK YOU! I wish my professor could explain it as well as you could!

@Salvia02390 10 жыл бұрын

You are saving my life in Econometrics! Thank you!

@alkalait 13 жыл бұрын

Finally I have an intuitive sense of why computing the sample variance of a dataset involves dividing the sum of squared distances from the sample mean by N-1. Thank you.

@vman049 5 жыл бұрын

Great video (as always with Khan Academy) BUT the mean of means in general is not equal to the grand mean. For them to be equal, you need to have the same number of data points in each group. Otherwise, you must calculate the grand mean by simply averaging together all the values in all the groups.

@merarig9572 9 жыл бұрын

Thank you so much for this!

@BigGulp 4 жыл бұрын

Disclaimer - the "mean of means" (average of multiple means) is only = to the grand mean (average of all data points) when each group has the same number of data points (in this case they all have three).

@mdixon007004 13 жыл бұрын

awesome...thank you so much

@MsPerva 7 жыл бұрын

Omggg i love the way you teach 🌹🌹🌹

@BarrettOwenW 13 жыл бұрын

dam you're good Khan, was waiting for this.

@atharvawaghaye2877 2 ай бұрын

very informative

@soumilyade1057 Жыл бұрын

Till date, the best coverage of ANOVA

@shbp21 13 жыл бұрын

This Man right here is the REVOLUTION of education!

@rivariad 13 жыл бұрын

thanks!!

@KiddSteely Жыл бұрын

Sal has been there for me when my professors fail at doing their job. If nobody got me, I know Sal got me

@209yangyang 11 жыл бұрын

thanks!

@kennchen2925 6 жыл бұрын

This is so much better than my professor's lectures.

@Tubeytime Жыл бұрын

This man is a treasure

@felixfelix8905 Жыл бұрын

every nice video. Today is my FIRST day to understand SST!!!!!!!!! THANK YOU ,SIR!

@delcapslock100 10 жыл бұрын

What would be great for both the regression and anova series would be for Sal to show how they both apply CLT, since they both are dependent on CLT but how is not intuitive.

@Thenikhilkhurana 9 жыл бұрын

Omg!! Dude ur awesome :D

@HerdingDogRescuer 8 жыл бұрын

Totally lost me at the end there with the degrees of freedom and variance bit. It was scattered and confusing.

@sixtysixx3933 4 жыл бұрын

degrees of freedom generally just means how many observation is free to be whatever it wants to be given known the mean, in this case there are just 8 observation that could go freely, the last, or ninth number must be a specific number after knowing all other 8 numbers, because of the mean. The case with variance is because if you play around the SST formula algebraically you will find that the formula is exactly the same as the variance.

@abhishekpnambu 3 жыл бұрын

@@sixtysixx3933 but in the last video he said degrees of freedom=m-1*n-1

8 жыл бұрын

please make a video about how to calculate wards method

@jaafaridris6205 6 жыл бұрын

Thanks

@carlosvalencia431 6 жыл бұрын

Thank god you uploaded this, If I pass my test tomorrow morning; I´ll invite you a drink. Thanks bro ;)

@alabatchi1 2 жыл бұрын

So what happened? Did you pass? 🤣🤣

@tical2399 12 жыл бұрын

Please add a few more social science videos such as Geographic information systems or urban planning.

@zainnoman1698 7 жыл бұрын

sir is it possible to answer this qs with Combined mean ??

@jianneestradaurubio446 3 жыл бұрын

thank u so muchh huhu ilove uuuuu

@henryibeky-edu7503 8 ай бұрын

13 years later and I am here 🔥

@divyagowda836 3 жыл бұрын

You are really genius Sal. Thank you for all your hard work and efforts in putting across such amazing videos.

@discopowerpack 11 жыл бұрын

In my exams at uni we often have to fill in the blanks of the anova summary table. is it possible to calculate SStreat when you only know DFtreat, DFerror, and MSerror?

@nanuhk00 4 жыл бұрын

SAL KHAN IS AN ACTUAL LEGEND

@mr.laqueash169 3 жыл бұрын

absolute banger

@allantorrescamba7958 7 жыл бұрын

Shouldn't you be using the greek letter of "m" for the mean and not the letter "x"? The letter "x" could represent the independent variable and that could be confusing.

@nayanikasarma 3 жыл бұрын

You're awesome

@10xbelegt 6 жыл бұрын

I dont know what I'm doing wrong but with data sets of a = 21, 15, 16, 20 -> mean = 18 b = 6, 10 -> mean = 8 c = 17, 13, 8, 10 -> mean =12 Grand mean would then be All data point/10 = 13.6 But the mean of the means is (18+8+12)/3 = 12.6

@10xbelegt 6 жыл бұрын

Edit: To calculate the global mean out of the mean of means, the means of the samples must be weighed. in My example: (18*4 +8*2 + 12*4)/(4+2+4) -> 13,6

@nnynie 2 жыл бұрын

can anyone help me with this question Make up a sample of size n = 7 for which the average is −13 (note the (−) sign). Not all 7 numbers should be identical.

@andreia7422 3 жыл бұрын

I have N=20, k=4 (m1=4, m2=8, m3=12,m4=7) and SSB=22. How do i find the value of SSW?

@ZubairAhmad-mi8wi 7 жыл бұрын

productive talk

@thecoldzero911 4 жыл бұрын

You should start your own university. I’ll attend classes that i’m sure will make sense 99% of the time.

@bakhodiryakubov3981 3 жыл бұрын

So degree of freedom for ANOVA is (MN-1) whereas d.f. for Chi-squared is (M-1)x(N-1)?

@charlien2573 7 жыл бұрын

Confused do I divide the SST (30 in this example) by the DF? and that gives me the SST?

@YousifKorkis 7 жыл бұрын

Charlie Marie no that will give you the sample variance

@charlien2573 7 жыл бұрын

HAHA hi Yousif, I very slowly realized this but thank you

@chinyuan8529 6 жыл бұрын

I think the title should be Calculating TSS ( Total Sum of Squares )

@tualibudinenordinebacai3414 8 жыл бұрын

whats is the mane of progam the teacher use.

@basity123 11 жыл бұрын

The more i watch his videos the more i hate my prof at school .. lol

@neilnemesiobaliuag7490 7 жыл бұрын

SST was not equal to X double bar, you were not able to prove it then you ended to computing df

@danielsanchezm4808 7 жыл бұрын

somehow it doesnt work.

@gamingguy8595 5 жыл бұрын

I dont understand m.n-1 degree of freedom

@jianneestradaurubio446 3 жыл бұрын

u saved my life away from singko HAAHHAAH

@user-uo5lc1bi7i 9 ай бұрын

How 1+4+9=14???

@CodeCommand 6 жыл бұрын

without doubt the worst way to calculate SST.