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Re: st: implementation of variance formula


From   Inna Becher <[email protected]>
To   [email protected]
Subject   Re: st: implementation of variance formula
Date   Thu, 12 Mar 2009 09:37:16 +0100

Robert,

I simulate 1000 samples from a population and for each sample I calculate the H-T-estimator for the mean and I have to calculate the variance for the H-T-mean. Afterwards I'll investigate their distribution over 1000 samples.

Robert A Yaffee schrieb:
Inna,
   Can you jacknife or bootstrap to obtain your variances?
         -   Bob


Robert A. Yaffee, Ph.D.
Research Professor
Silver School of Social Work
New York University


Biosketch: http://homepages.nyu.edu/~ray1/Biosketch2008.pdf

CV:  http://homepages.nyu.edu/~ray1/vita.pdf

----- Original Message -----
From: Inna Becher <[email protected]>
Date: Wednesday, March 11, 2009 4:50 am
Subject: Re: st: implementation of variance formula
To: [email protected]


I can calculate the probability for each network (=cluster) to be included in the sample. I also can calculate for each pair of selected clusters to be included in the sample. My problem is: this probabilities are to be saved somewhere. Should it be a matrix? I have not yet worked with matrices to calculate variances. The version of H-T-estimator I need is not implemented in svy-. I wrote an ado for sampling design that I need and implemented H-T-estimator for the mean, but not for the variance.

Steven Samuels schrieb:
Inna:

You don't say which version of the H-T estimator you want; there are many versions. The estimates themselves depend on knowing for each cluster the probability that would be included in the sample. This quantity must be supplied with the data set. It might or might not
be
a simple function of the cluster "size" measure.

Thel formulas for the variance of the classical H-T estimators are also functions of the probability that each pair of selected
clusters
would be included in the sample; if there are m clusters in a
stratum,
there are m(m-1)/2 of these probabilities. Were they supplied with the data set? Even if you have them, you would still have to write your own (probably MATA) code to utilize them.

There is an alternative. Stata's survey commands produce modified H-T estimates . You can obtain appropriate standard errors if you -syset- your data according to the design.

On Mar 10, 2009, at 7:07 AM, Inna Becher wrote:

Dear statalisters,

I have to implement a formula of the variance of modified horvitz-thompson-estimator. My dataset is very large, so I cannot produce a lot of new variables in order to do that. Should I use mata? Are there any examples of implementing variance formulas in stata?
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