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Proof of variance of $S_n^2$

Let $$S_n^2= \frac{1}{n} \sum X_i - \overline{X}$$ I'm looking for a clear simple proof of the variance of this just for personal knowledge to derive the MSE later on any input would be appreciated.
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31 views

Help in showing probabilities are the same in Multinomial logit

I am using a multinomial logit to estimate $a_1, a_2, a_3, b_1, b_2$, and $b_3$ in a paper. My dependent variable takes 3 possible values, $y = \{1, 2, 3\}$; my independent variable is $z_i$; and the ...