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Re: st: Fw: Calculating a confidence interval for population variance based upon sample.


From   Michael Norman Mitchell <[email protected]>
To   [email protected]
Subject   Re: st: Fw: Calculating a confidence interval for population variance based upon sample.
Date   Sun, 31 Jan 2010 17:16:00 -0800

Greetings Carl

I wonder if using "xtmixed" would be the solution to your question. Using the "auto" dataset...

. sysuse auto
(1978 Automobile Data)

. xtmixed mpg

Mixed-effects REML regression Number of obs = 74

Wald chi2(0) = . Log restricted-likelihood = -233.87549 Prob > chi2 = .

------------------------------------------------------------------------------
mpg | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
_cons | 21.2973 .6725511 31.67 0.000 19.97912 22.61547
------------------------------------------------------------------------------

------------------------------------------------------------------------------
Random-effects Parameters | Estimate Std. Err. [95% Conf. Interval]
-----------------------------+------------------------------------------------
sd(Residual) | 5.785503 .4755654 4.924621 6.796878
------------------------------------------------------------------------------

From this, I would estimate the standard deviation as 5.78 with a CI ranging from 4.92 to 6.79. These could be squared to get the estimate and CI for the variance.

Best regards,

Michael N. Mitchell
See the Stata tidbit of the week at...
http://www.MichaelNormanMitchell.com
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Carl Mastropaolo wrote:
Hi

I have STATA10.  I know this question will seem bizarre, but I can not
figure out how to calculate a confidence interval for a population variance
based upon sample data.  Is there a command which will do this?  This should
be ridiculously easy.  It is easily done on an Excel spreadsheet.

Any help?

Thanx,
Carl
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