>>>> L = \sum_{i=1}^b \sum_{j=1}^k (y_ij - \beta_i - \mu_j)^2
>>
>> The partial derivatives i get are:
>> dL/d(beta_i) = -2 \sum_{i=1}^b \sum_{j=1}^k (y_ij - \beta_i - \mu_j)
>
> Here's your problem right here. This is not correct.

I've been looking at the expression for a while now and i can't see where i
make a mistake. Trusting that you see where i gone wrong, i'll review my
steps.
1) The 2 "jumps" down in front of the paranthesis (that's f').
2) Since it's just a constant i let it stand in front of the sums.
3) g is the contents of the parenthesis and everything there is a constant
with respect to i except for beta. It's derivative is clearly -1 and, as in
(2) i let it get in front of the sums.
That gives me the answer as i presented. No idea where it's wrong...

-- 

Kindly
Konrad
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their souls be chased by demons in Gehenna from one room to
another for all eternity and more.

Sleep - thing used by ineffective people
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Ambition - a poor excuse for not having
                 enough sense to be lazy
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