13 - ANOVA Basics - The Grand Mean

[@Marta-n6l4p]

This Professor is the best. He is able to make reasoning very simple!!! I love him!!!

[@mervin5291]

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]

Thank you so much!

[@kaosiike8804]

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]

😂

[@jobadebayoolaoti8664]

Excellent! I love the way you took patience to explain every point. Sir, stay blessed.

[@emmanouilkalafatis7255]

This dude is the man... going through every single step one-by-one... he should be getting paid for that.

[@victordrew7927]

At over 800k subscribers, I assure you, he is.

[@maimunajawara4485]

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]

Very happy to help!

[@coventrykids9795]

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]

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!🤩

[@mustafanawzad8278]

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

[@perrygriffith3072]

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]

this.

[@DEVESH688]

But your videos are great, tommorow is my exams and youre helping a lot

[@emo_galaxy9413]

Thanks.......... the equation has always scared me away but they are simple once you know. Thanks again!

[@adeyemikehindepaul9196]

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

[@DEVESH688]

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.

[@kristiluv223]

thank you so much, I am starting to understand what is going on

[@caro9887]

Thanks so much for this detailed explanation on ANOVA!

[@damianrico2433]

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]

The whole series are on his website and he wants you to buy his videos from his website.

[@victordrew7927]

A better question would be: "Why is Texas letting girls get married at 13 years old"?

[@sandhyasubba1758]

Victor Drew 😂😂🤓🤓

[@mustafanawzad8278]

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]

Lol... Good question!

[@chauzic7583]

Because Texas is almost Mexico 🇲🇽 (it was) haha Xd

[@tcg4111]

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?

[@leacuster1741]

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.

[@angeltorres5132]

love, love, love your explanation. you made it so easy... thank you so much.

[@uzipaz9557]

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]

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.

[@Gtgxx2]

@@uzipaz9557 so he was correct?

[@alvaroromero2419]

Dear PhD Math and Science, you explain really good. Thank you

[@michaelagyare1559]

Please when is the next video on Anova dropping?

[@meganvanmilo]

this is the second video of yours i've watched and i think i'm ready to die for you

[@SuperFerdie1965]

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]

Good point. If the sample sizes are different, then the mean of sample means is *not* the same as the mean of all readings.

[@pabiedaisy8164]

You're such a great teacher!

[@Gojo79087]

Hi, you are not supposed to refer to"j" as the 'jth' sample. The 'i' represents the sample but the 'j' represents the observation.

[@BANKO007]

At 7:08, the lower sigma should be over the range i=1 to k or the summation is undefined and makes no sense.

[@greggapowell67]

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"

[@acea1848]

Tq sir... u make statistics sound simple

[@greyeyedone_2119]

Thank you so much for your videos 🙏🏽🙏🏽🙏🏽

[@t.sultana]

Thanks for the video. Very comprehensive.

[@nyambeMathsTutor9841]

Was this the last video in stats volume 7? I can't locate the rest of the videos

[@siralvine1460]

excellent explanation

[@Muuip]

Great explanation, much appreciated! 👍

[@janesy9407]

what if there a different sample size how to compute the grand mean

[@patsondamascus885]

link for next video after this please

[@acceleratedcareerdevelopment]

What is the next video after this one? I can't find it? It's not "14 ANOVA Basics" !!

[@dr.anubhutinigam5467]

You are a good teacher

[@afanasnosdaglaz]

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?

[@johnmatthewescarro8992]

What test is he referring to when he says that another test aside from ANOVA should be used to identify which mean is different?

[@leonardoz.wongbae9165]

Thanks so kindly. How do I get the next lesson?

[@nishulsingh8072]

The video is very helpful.

[@lucycai3356]

"Grand mean is the mean of sample means." but what if sample sizes are different?

[@bhanupalagati4875]

This should be the question (:)

[@maxwellbediakoasare765]

How did we get i to be equal to 1? What is i actaually?

[@elishamizrachi9735]

Hi, can you please share the link to the following lesson?

[@abonady6747]

can any one help me to get the other videos related to ANOVA explanation? the other videos in this series ?

[@Zide-ep6gi]

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]

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

[@paaniijohnson7802]

A very good review in stats for me

[@iqraafaq4328]

when samples are different in size. then how we use grand mean?

[@yazanalkassem2473]

big big thanks for that❤

[@liamhoward2208]

Can you just add up all the means from each individual sample then just divide by 3?

[@woodchuk1]

Liam Howard That only works if all the groups are the same size.

[@liamhoward2208]

woodchuk1 Aren’t they? There are ten numbers in each column. That’s what you mean right? No pun intended

[@woodchuk1]

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]

woodchuk1 I see. I actually thought that’s what you were saying right after I hit the send button.

[@MountainRaven1960]

A sample from Texas marries at age 13? I think you got the wrong state?

[@candy1821]

whats about the standard deviation of the grand mean?

[@marcuschiu8615]

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

[@シーサイアベベテフェリー]

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]

@@シーサイアベベテフェリー 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

[@シーサイアベベテフェリー]

@@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]

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

[@kirklopez6205]

What should happen if the sample sizes are different?

[@zahinrazeen5459]

Legend

[@WahranRai]

When you start a subject you Must finish it !!!!! Where is the continuation 14 -?

[@benggamaha5191]

its for sell dumbass

[@SimachaCosmas-xf7yj]

man you only wanted to finish my bundles instead of just saying when finding the grandmean you add everything and divide how many numbers are

[@syedadeelhussain2691]

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]

Yes, we should devide by 27

[@loganchiang5502]

@@chiruvlogss No not in this case, it's just the mean of all the values

[@M7Triple6]

I was lost ...I was looking for the grand mean calculation only. Quit 3/4 thru.

[@michaelliu6323]

the last data for Texas is "13", unbelievable

[@lightpassion4274]

Is lesson # 14 available here?

[@hersh348official]

I wonder why I didn't know that my Prof gets data from here

[@shanellemooka8267]

Thank you 💕

[@ervaodabas5494]

that is really good

[@tshering2003]

Thank you sir

[@Godslove-m3]

Very helpful

[@yuvinalisonsaseotara]

You are too first

[@barovierkevinallybose1040]

Wouldn't it be wonderful if we just add up all the values and divide them by the total. Geez!

[@ThePorschefan]

Or just sum the 3 means from the samples and divide the result by 3!

[@DanksterPaws]

JuanFernando Gracia doing this gave me a different result

[@Alemaster2000]

We need part 14 plssssss

[@l.rogerkumariah6883]

kzbin.info/www/bejne/o4Sofaaip7yXiZY

[@AaBb-oi3kf]

Thank you!

[@akhilesh4183]

Thank you Man..

[@ervaodabas5494]

thank you

[@ordinarygurl2401]

Thank you so much

[@SAURABHGUPTA-zq1zq]

Hiii

[@sabLeya123]

What does i stand for?

[@jasonhansen1047]

ur a god

[@OllyPollyRolly]

Thank you for your explanation but in what year did girls in Texas get married at 13 lol?

[@Raja-tt4ll]

Great

[@cbl1984]

Dang...baby girl got married at 13 in Texas...ugh. I hope this is fake data!

[@marcelmaurice4586]

I don't care WHY you are making choices, just get on with the procedures!

[@MathAndScience]

Maybe you should care why, so you get more than a surface understanding.

[@marlghah7517]

Making it long without informative material

[@gracakuhanga3199]

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]

You are “texist“. Why is the youngest girl to marry in Texas?

[@abdisalaanalixoosh5359]

22/12/2022

[@MathAndScience]

Nice!

[@tafreeed7015]

@@MathAndScience what a waste of time since there is no next video on this topic

[@anonymousperson8222]

sorry I CAN'T MAKE SENSE

[@emmanuellekan3092]

Wow

[@jonathanmeza7461]

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

[@jamesnjuguna6060]

Why take all this time explain grand mean?

[@technicalmit8548]

Please hindi language in speaking

[@lifestylewithseyifunmi3646]

Too repetitive and talks to much, just do and say

[@mirasenizertenn]

That noise that comes from the mouth like eating st. .. distracts

[@fooballers7883]

Thank you... well taught.