- #1
musicgold
- 304
- 19
Hi,
My question is related to this web page. http://en.wikipedia.org/wiki/Estimator_bias
In the Examples section, note the equation for the expected value of sample variance.
[tex] {E}(S^2)=\frac{n-1}{n} \sigma^2 [/tex]
Could anybody please show me the steps to go from the sample variance equation (given below) to the above equation?
[tex]S^2=\frac{1}{n}\sum_{i=1}^n(X_i-\overline{X}\,)^2[/tex]
Thanks
MG.
My question is related to this web page. http://en.wikipedia.org/wiki/Estimator_bias
In the Examples section, note the equation for the expected value of sample variance.
[tex] {E}(S^2)=\frac{n-1}{n} \sigma^2 [/tex]
Could anybody please show me the steps to go from the sample variance equation (given below) to the above equation?
[tex]S^2=\frac{1}{n}\sum_{i=1}^n(X_i-\overline{X}\,)^2[/tex]
Thanks
MG.