13 - ANOVA Basics - The Grand Mean

  Рет қаралды 223,338

Math and Science

Math and Science

Күн бұрын

Get more lessons like this at www.MathTutorDVD.com.
In this lesson, we will continue the study of Analysis of Variance (ANOVA) by discussing each part of the calculation separately. Here we discuss the grand mean, which relates the mean of all of the sample means in the data sets.
This will then tie into the sum of squares among treatments and sum of squares of errors in the final ANOVA calculation.

Пікірлер: 127
@user-nq2ru9rz8c
@user-nq2ru9rz8c 9 ай бұрын
This Professor is the best. He is able to make reasoning very simple!!! I love him!!!
@mervin5291
@mervin5291 Жыл бұрын
After this tutorial I felt dumb for not understanding this in class…this video is legendary it’s basically ANOVA in it’s simplest form
@MathAndScience
@MathAndScience Жыл бұрын
Thank you so much!
@kaosiike8804
@kaosiike8804 Жыл бұрын
This is amazing. I love how you took your time to explain it bit by bit, like we are all Statistic dummies😅...Thank you so much!
@nguhglorynyorh495
@nguhglorynyorh495 Жыл бұрын
😂
@coventrykids9795
@coventrykids9795 3 жыл бұрын
Thank you so much you have successfully improved my understanding of The Grand Mean! I love your teaching style and how you clearly explain what you're referring to and what it does and how it does it! This video is an absolute 'must-watch' for all students doing statistics!
@charliedays
@charliedays Жыл бұрын
He will repeat in detail as many times as necessary to make sure that you understood every single thing of each lesson. This is what makes him quite unique among all the courses I've studied. Awesome professor!🤩
@emmanouilkalafatis7255
@emmanouilkalafatis7255 4 жыл бұрын
This dude is the man... going through every single step one-by-one... he should be getting paid for that.
@victordrew7927
@victordrew7927 2 жыл бұрын
At over 800k subscribers, I assure you, he is.
@mustafanawzad8278
@mustafanawzad8278 5 жыл бұрын
Thanks for your explanation I'm MSc student and I'll use them very much next months because this technique is modern more than other statistical techniques
@maimunajawara4485
@maimunajawara4485 2 жыл бұрын
You guys are just the best !!! Am learning in french but statistics just feels like another language to me but when ever i watched your vidéos, the concept becomes just clear.thank you so much.
@MathAndScience
@MathAndScience 2 жыл бұрын
Very happy to help!
@emo_galaxy9413
@emo_galaxy9413 4 жыл бұрын
Thanks.......... the equation has always scared me away but they are simple once you know. Thanks again!
@kristiluv223
@kristiluv223 6 жыл бұрын
thank you so much, I am starting to understand what is going on
@angeltorres5132
@angeltorres5132 3 жыл бұрын
love, love, love your explanation. you made it so easy... thank you so much.
@pabiedaisy8164
@pabiedaisy8164 2 жыл бұрын
You're such a great teacher!
@caro9887
@caro9887 8 ай бұрын
Thanks so much for this detailed explanation on ANOVA!
@Muuip
@Muuip 4 жыл бұрын
Great explanation, much appreciated! 👍
@t.sultana
@t.sultana 3 жыл бұрын
Thanks for the video. Very comprehensive.
@dr.anubhutinigam5467
@dr.anubhutinigam5467 5 жыл бұрын
You are a good teacher
@perrygriffith3072
@perrygriffith3072 4 жыл бұрын
Great video and explanations. One comment: the mean of all the data points will only be equal to the mean of sample means if the sample size numbers are equal.
@kenlovesmath2
@kenlovesmath2 2 жыл бұрын
this.
@adeyemikehindepaul9196
@adeyemikehindepaul9196 8 ай бұрын
using ANOVA approaches calculate the sample standard deviation when the sample sizes are 100, 100, 100 and 100 and the sample mean are 3.85, 2.55, 2.8 and 2.78
@acea1848
@acea1848 2 жыл бұрын
Tq sir... u make statistics sound simple
@greyeyedone_2119
@greyeyedone_2119 Жыл бұрын
Thank you so much for your videos 🙏🏽🙏🏽🙏🏽
@nishulsingh8072
@nishulsingh8072 Жыл бұрын
The video is very helpful.
@greggapowell67
@greggapowell67 4 жыл бұрын
Is there an immediate follow-on lesson that picks up where this one left off? I can't find it among the videos posted by " Math and Science"
@siralvine1460
@siralvine1460 Жыл бұрын
excellent explanation
@DEVESH688
@DEVESH688 Жыл бұрын
But your videos are great, tommorow is my exams and youre helping a lot
@alvaroromero2419
@alvaroromero2419 4 жыл бұрын
Dear PhD Math and Science, you explain really good. Thank you
@paaniijohnson7802
@paaniijohnson7802 4 жыл бұрын
A very good review in stats for me
@michaelagyare1559
@michaelagyare1559 2 жыл бұрын
Please when is the next video on Anova dropping?
@DEVESH688
@DEVESH688 Жыл бұрын
If you take the mean of the sample means, when sample size is different, the value will be different. (Weighted average). The grand mean just sums up all values divided by total number of values.
@meganvanmilo
@meganvanmilo 3 жыл бұрын
this is the second video of yours i've watched and i think i'm ready to die for you
@leacuster1741
@leacuster1741 2 жыл бұрын
Great video, but you should keep apart these two characterizations of "grand mean": (1) Mean of all individuals combined and (2) Mean of the sample means. (1) is always true (by definition), but (2) only coincides with (1), if all samples have the same size.
@mwilakabunda8550
@mwilakabunda8550 5 жыл бұрын
Very helpful
@zahinrazeen5459
@zahinrazeen5459 6 жыл бұрын
Legend
@ervaodabas5494
@ervaodabas5494 4 жыл бұрын
that is really good
@AaBb-oi3kf
@AaBb-oi3kf 4 жыл бұрын
Thank you!
@damianrico2433
@damianrico2433 2 жыл бұрын
Is there any way you can make your videos populate in consecutive order? I love you videos but I spend time trying to find the next video. Great explanations!! Thank you so much, i am listening
@voodooblue6162
@voodooblue6162 2 жыл бұрын
The whole series are on his website and he wants you to buy his videos from his website.
@Gojo79087
@Gojo79087 4 жыл бұрын
Hi, you are not supposed to refer to"j" as the 'jth' sample. The 'i' represents the sample but the 'j' represents the observation.
@tshering2003
@tshering2003 3 жыл бұрын
Thank you sir
@yazanalkassem2473
@yazanalkassem2473 7 ай бұрын
big big thanks for that❤
@victordrew7927
@victordrew7927 6 жыл бұрын
A better question would be: "Why is Texas letting girls get married at 13 years old"?
@sandhyasubba1758
@sandhyasubba1758 6 жыл бұрын
Victor Drew 😂😂🤓🤓
@mustafanawzad8278
@mustafanawzad8278 5 жыл бұрын
I also noticed that I'm from middle east, I see these things happening in my society and hate all of these kinds of marriages 🤮🤮🤮🤮 Suddenly I see the same shit in USA !!!!🧐🧐🧐
@user-juhi
@user-juhi 4 жыл бұрын
Lol... Good question!
@chauzic7583
@chauzic7583 4 жыл бұрын
Because Texas is almost Mexico 🇲🇽 (it was) haha Xd
@tcg4111
@tcg4111 4 жыл бұрын
and also not a single one of them is over 23 yrs old and the grand average of all of them is 19 and a half yrs old aka the grand mean shows that all these states have females getting married when they're still TEENAGERS, lol wtf?
@janesy9407
@janesy9407 3 жыл бұрын
what if there a different sample size how to compute the grand mean
@lightpassion4274
@lightpassion4274 5 жыл бұрын
Is lesson # 14 available here?
@akhilesh4183
@akhilesh4183 5 жыл бұрын
Thank you Man..
@johnmatthewescarro8992
@johnmatthewescarro8992 3 жыл бұрын
What test is he referring to when he says that another test aside from ANOVA should be used to identify which mean is different?
@kirklopez6205
@kirklopez6205 5 жыл бұрын
What should happen if the sample sizes are different?
@candy1821
@candy1821 4 жыл бұрын
whats about the standard deviation of the grand mean?
@SuperFerdie1965
@SuperFerdie1965 4 жыл бұрын
What if the sample sizes are different? Is the grand mean still the mean of the sample means, or would you add all the data values and divide by the total number of readings?
@robbesisca
@robbesisca 3 жыл бұрын
Good point. If the sample sizes are different, then the mean of sample means is *not* the same as the mean of all readings.
@shanellemooka8267
@shanellemooka8267 2 жыл бұрын
Thank you 💕
@nyambeMathsTutor9841
@nyambeMathsTutor9841 2 жыл бұрын
Was this the last video in stats volume 7? I can't locate the rest of the videos
@iqraafaq4328
@iqraafaq4328 3 жыл бұрын
when samples are different in size. then how we use grand mean?
@ordinarygurl2401
@ordinarygurl2401 5 жыл бұрын
Thank you so much
@SAURABHGUPTA-zq1zq
@SAURABHGUPTA-zq1zq 5 жыл бұрын
Hiii
@leonardoz.wongbae9165
@leonardoz.wongbae9165 2 жыл бұрын
Thanks so kindly. How do I get the next lesson?
@patsondamascus885
@patsondamascus885 Жыл бұрын
link for next video after this please
@ervaodabas5494
@ervaodabas5494 4 жыл бұрын
thank you
@elishamizrachi9735
@elishamizrachi9735 5 жыл бұрын
Hi, can you please share the link to the following lesson?
@maxwellbediakoasare765
@maxwellbediakoasare765 Жыл бұрын
How did we get i to be equal to 1? What is i actaually?
@abonady6747
@abonady6747 2 жыл бұрын
can any one help me to get the other videos related to ANOVA explanation? the other videos in this series ?
@afanasnosdaglaz
@afanasnosdaglaz 3 жыл бұрын
But the average of sample means is not equal to the grand mean if sample sizes are not the same for all populations being compared, is it?
@uzipaz9557
@uzipaz9557 3 жыл бұрын
around time 5::27 he says that the mean of the sample means, is the mean of all the data in the samples. This is correct only if the sample sizes are the same, (just as in his example), but not in general.
@uzipaz9557
@uzipaz9557 3 жыл бұрын
Interesting. as for ANOVA it seems that the ANOVA calculates the weighted mean of the sample means, and it is really a mean of all the sample.
@Giorgi-ny4xo
@Giorgi-ny4xo 2 жыл бұрын
@@uzipaz9557 so he was correct?
@acceleratedcareerdevelopment
@acceleratedcareerdevelopment 10 ай бұрын
What is the next video after this one? I can't find it? It's not "14 ANOVA Basics" !!
@Raja-tt4ll
@Raja-tt4ll 5 жыл бұрын
Great
@lucycai3356
@lucycai3356 3 жыл бұрын
"Grand mean is the mean of sample means." but what if sample sizes are different?
@bhanupalagati4875
@bhanupalagati4875 3 жыл бұрын
This should be the question (:)
@syedadeelhussain2691
@syedadeelhussain2691 6 жыл бұрын
hello sir. why you divided by 30? the sample mean is always N-1. So you need to subtract the grand total by 27?
@chiruvlogss
@chiruvlogss 5 жыл бұрын
Yes, we should devide by 27
@loganchiang5502
@loganchiang5502 5 жыл бұрын
@@chiruvlogss No not in this case, it's just the mean of all the values
@BANKO007
@BANKO007 3 жыл бұрын
At 7:08, the lower sigma should be over the range i=1 to k or the summation is undefined and makes no sense.
@liamhoward2208
@liamhoward2208 4 жыл бұрын
Can you just add up all the means from each individual sample then just divide by 3?
@woodchuk1
@woodchuk1 4 жыл бұрын
Liam Howard That only works if all the groups are the same size.
@liamhoward2208
@liamhoward2208 4 жыл бұрын
woodchuk1 Aren’t they? There are ten numbers in each column. That’s what you mean right? No pun intended
@woodchuk1
@woodchuk1 4 жыл бұрын
Liam Howard Yes, that’s what I meant, that in this case you would be correct...but in general, if the groups aren’t all equal, the mean of the individual group means won’t equal the grand overall mean.
@liamhoward2208
@liamhoward2208 4 жыл бұрын
woodchuk1 I see. I actually thought that’s what you were saying right after I hit the send button.
@Alemaster2000
@Alemaster2000 4 жыл бұрын
We need part 14 plssssss
@l.rogerkumariah6883
@l.rogerkumariah6883 4 жыл бұрын
kzfaq.info/get/bejne/o7l1f9ad173Ig2g.html
@Zide-ep6gi
@Zide-ep6gi 6 жыл бұрын
Your explanation seems a bit misleading: the mean of means is only equal to the mean of all the data if the samples have the same size. Of course, with the formula later it‘s clear, that this is taken into account.
@rajivoza3826
@rajivoza3826 5 жыл бұрын
Mean of means and mean calculation of all 30 case , 10 each , is different thing . The tutor started by saying that if one averages mean of group 1,2,3 can get grand mean. It's not true. Grand mean is mean of 30 samples
@M7Triple6
@M7Triple6 2 жыл бұрын
I was lost ...I was looking for the grand mean calculation only. Quit 3/4 thru.
@MountainRaven1960
@MountainRaven1960 10 ай бұрын
A sample from Texas marries at age 13? I think you got the wrong state?
@michaelliu6323
@michaelliu6323 6 ай бұрын
the last data for Texas is "13", unbelievable
@jasonhansen1047
@jasonhansen1047 3 жыл бұрын
ur a god
@sabLeya123
@sabLeya123 4 жыл бұрын
What does i stand for?
@WahranRai
@WahranRai 5 жыл бұрын
When you start a subject you Must finish it !!!!! Where is the continuation 14 -?
@benggamaha5191
@benggamaha5191 5 жыл бұрын
its for sell dumbass
@marcuschiu8615
@marcuschiu8615 4 жыл бұрын
5:30 grand mean is the average of all the samples... what if the sample sizes are different edit: nvm the formula after make sense. i was think something else
@user-ik2tk7xi3g
@user-ik2tk7xi3g 4 жыл бұрын
Before doing the grand mean, just estimate means for each case and sum up them then divide it by the number of sample means. you have three means (n=3). I think this helps.
@marcuschiu8615
@marcuschiu8615 4 жыл бұрын
@@user-ik2tk7xi3g forgot the context. i was wondering what happens if we have samples of different sizes. like sample-1 = {100} sample-2 = {0, 0, 0, 0} sample mean of sample-1 = 100 sample mean of sample-2 = 0 sum of sample means = 100. divide that by 2 and we get 50 BUT that's not the same as aggregating all samples into one big one and computing its mean sample-1+2 = {100, 0, 0, 0, 0} sample mean = 100 / 5 = 20
@user-ik2tk7xi3g
@user-ik2tk7xi3g 4 жыл бұрын
@@marcuschiu8615 well, that is good point. Based on my knowledge, if we represent our sample value as 0, like you mentioned it, I don't think its counted as a value and the grand mean be exactly the same with the sample of the first one. STATA , SPSS and other statistical applications count these data's as a dummy variable and counting it as a zero value. If it's coding , like using R-studio and we represent that zero value, then the result might differ. Just my thoughts. Thanks thou for your insights
@sergten
@sergten 3 жыл бұрын
I asked myself the same question. I believe the video, when introduced the term "Grand Mean", implied that the sample sizes are all the same without explicitly stating it. According to Wikipedia, "The grand mean or pooled mean is the mean of the means of several subsamples, as long as the subsamples have the same number of data points." en.wikipedia.org/wiki/Grand_mean
@barovierkevinallybose1040
@barovierkevinallybose1040 5 жыл бұрын
Wouldn't it be wonderful if we just add up all the values and divide them by the total. Geez!
@ThePorschefan
@ThePorschefan 5 жыл бұрын
Or just sum the 3 means from the samples and divide the result by 3!
@DanksterPaws
@DanksterPaws 4 жыл бұрын
JuanFernando Gracia doing this gave me a different result
@emmanuellekan3092
@emmanuellekan3092 8 ай бұрын
Wow
@abdisalaanalixoosh5359
@abdisalaanalixoosh5359 Жыл бұрын
22/12/2022
@MathAndScience
@MathAndScience Жыл бұрын
Nice!
@tafreeed7015
@tafreeed7015 Жыл бұрын
@@MathAndScience what a waste of time since there is no next video on this topic
@ollyshevchuk2211
@ollyshevchuk2211 Жыл бұрын
Thank you for your explanation but in what year did girls in Texas get married at 13 lol?
@cbl1984
@cbl1984 4 жыл бұрын
Dang...baby girl got married at 13 in Texas...ugh. I hope this is fake data!
@anonymousperson8222
@anonymousperson8222 4 жыл бұрын
sorry I CAN'T MAKE SENSE
@gracakuhanga3199
@gracakuhanga3199 Жыл бұрын
You r ryt you should have skipped 90% of the things u said in this lesson 😒😒😒gosh! Its part 2 nd u hvnt started calculating ANOVA!
@liamhoward2208
@liamhoward2208 4 жыл бұрын
You are “texist“. Why is the youngest girl to marry in Texas?
@marcelmaurice4586
@marcelmaurice4586 Жыл бұрын
I don't care WHY you are making choices, just get on with the procedures!
@MathAndScience
@MathAndScience Жыл бұрын
Maybe you should care why, so you get more than a surface understanding.
@jonathanmeza7461
@jonathanmeza7461 2 жыл бұрын
basically you add all the numbers in all the groups together n divide by the total number of ppl video couldve have been 3 mins instead of fuckin 20 mins smh
@technicalmit8548
@technicalmit8548 5 жыл бұрын
Please hindi language in speaking
@marlghah7517
@marlghah7517 3 жыл бұрын
Making it long without informative material
@jamesnjuguna6060
@jamesnjuguna6060 Жыл бұрын
Why take all this time explain grand mean?
@mirasenizertenn
@mirasenizertenn 5 жыл бұрын
That noise that comes from the mouth like eating st. .. distracts
@lifestylewithseyifunmi3646
@lifestylewithseyifunmi3646 Жыл бұрын
Too repetitive and talks to much, just do and say
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