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From |
Rahul <rahul.lahoti@gmail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
st: Sample weights: Combining strata estimates to get one overall estimate |

Date |
Thu, 7 Apr 2011 21:39:32 +0530 |

Dear Statalist, I had a weighting related question. I am developing weights for household sample survey in State of Karnataka in India. In our sampling design we divide the state into four strata (regions) and pick districts (biggest sampling unit within the region) within the stratas randomly. Then we divide each district into rural and urban strata. We do random sampling using Population proportion to size sampling at stages below this in picking taluks (biggest administrative unit in a district) and then villages (our FSU's). We have developed weights for each region [which are all inverse of probability of selection at each stage of sampling] separately. So we get weighted rural estimate for Region 1,2,3 and 4. We need to combine these four estimates to get an estimate at the rural state level. The stratification is disproportionate i.e. each strata's sample size is not exactly proportional to its share in the overall population of the state. In some strata the proportion of sample of the overall state sample is greater than its corresponding proportion of strata population to the total population. These are off by a few percentage points. We are assuming if they were similar we needn't make any adjustment and the State overall estimate is just simple combination of each strata's estimate. How should we combine the strata estimates? Do we need to make the correction for disproportionate ?. Is it needed and in what form?. Can we just multiply the correction term with the probability weight which we are providing stata? the step above would give me two estimates rural and urban estimates at the state level. rural/urban is also a strata. To combine this and get one estimate at the state level do we have to multiply by some factor?. In short, our question is how to combine strata level estimates to get one overall estimate - especially in case where we have disproportionate stratification. I would appreciate any help in this regards. thanks rahul * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**Follow-Ups**:**Re: st: Sample weights: Combining strata estimates to get one overall estimate***From:*Steven Samuels <sjsamuels@gmail.com>

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