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Re: st: Mean and standard deviation of multiply-imputed values?

From   Stas Kolenikov <>
Subject   Re: st: Mean and standard deviation of multiply-imputed values?
Date   Mon, 27 Sep 2010 12:41:51 -0500

On Sat, Sep 25, 2010 at 4:39 PM, Art Burke
<> wrote:
> If I have a multiply-imputed variable x1, I can get its mean and standard error from ....
> mi estimate: mean x1
> Can I get the standard deviation also (without any hand calculation)?

No, that's not what multiple imputation is expected to do; it only
gives point estimates, i.e., means, proportions, regression
coefficients. Nonlinear operations like sums of squares are outside of
what's sensible with -mi-. Hence what you can do is to create the
square of your x, register it, estimate its mean using -mi-, and then
obtain the point estimate of the variance of x as E[x^2] - ( E[x] )^2.
Still hand calculations though.

Stas Kolenikov, also found at
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