In the f statistic formula
In the numerator, why do we multiply the sum of squares with the sample size?!
Scenic we are interested only in the variation of sample means from the grand mean.

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Ahmed, could you write down the formula to which you are referring? – user551504 Feb 14 '22 at 03:01
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I added a pic of the formula to the post – Ahmed abo-alata Feb 14 '22 at 03:46
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Thanks. There's a difference between capital $N$ and lower case $n$. Can you tell what it is? – user551504 Feb 14 '22 at 03:47
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n: is the sample size (we assume that all samples of the same size),. N: is the total number of values from all samples – Ahmed abo-alata Feb 14 '22 at 11:15
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Thanks, does it make sense that the numerator is summing over all individuals due to the inclusion of the $n$ factor, just like how the denominator is summing over all individuals? – user551504 Feb 17 '22 at 22:08