R help - Apr 2006 - Combination of Bias and MSE ?

Dear R Users,
  My question is overall and not necessarily related to R.
  Suppose we face to a situation in which MSE( Mean Squared Error) shows 
desired results but Bias shows undesired ones, Or in advers. How can we 
evaluate the results. And suppose, Both MSE and Bias are important for  us.
  The ecact question is that, whether there is any combined measure of two above
metrics.
  Thank you so much for any reply.
  Amir Safari
  
  
  
  
		
---------------------------------

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The MSE of an estimator X for a parameter theta is defined as E(X - theta)^2,
which is equal to Var[X] + (Bias[X])^2, so in that sense, the MSE is already
taking the bias of X into account.

Hope this helps,

-- 
Wolfgang Viechtbauer 
?Department of Methodology and Statistics 
?University of Maastricht, The Netherlands 
?http://www.wvbauer.com/ 

> -----Original Message-----
> From: r-help-bounces at stat.math.ethz.ch [mailto:r-help-
> bounces at stat.math.ethz.ch] On Behalf Of Amir Safari
> Sent: Wednesday, April 05, 2006 5:20 PM
> To: R-help at stat.math.ethz.ch
> Subject: [R] Combination of Bias and MSE ?
> 
> 
> 
>     Dear R Users,
>   My question is overall and not necessarily related to R.
>   Suppose we face to a situation in which MSE( Mean Squared Error) shows
> desired results but Bias shows undesired ones, Or in advers. How can we
> evaluate the results. And suppose, Both MSE and Bias are important for
> us.
>   The ecact question is that, whether there is any combined measure of two
> above metrics.
>   Thank you so much for any reply.
>   Amir Safari
> 
> 
> 
> 
> 
> ---------------------------------
> 
> 	[[alternative HTML version deleted]]
> 
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