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Vietnam Population and AIDS Indicator Survey 2005 ... - Measure DHS

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Let a h be the number of clusters selected in stratum h, M hi the number of households according to<br />

the sampling frame in the i th cluster, <strong>and</strong> ∑ M<br />

hi<br />

the total number of households in the stratum. The<br />

probability of selecting the i th cluster in the VPAIS sample is calculated as follows:<br />

ah<br />

M<br />

∑ M<br />

Let b<br />

hi<br />

be the proportion of households in the selected segment compared to the total number of<br />

households in the EA i in stratum h if the EA is segmented, otherwiseb<br />

hi<br />

= 1. Then the probability of<br />

selecting cluster i in the sample is:<br />

a<br />

hi<br />

hi<br />

M<br />

M<br />

h hi<br />

P 1hi=<br />

×<br />

∑ hi<br />

Let L<br />

hi<br />

be the number of households listed in the household listing operation in cluster i in<br />

stratum h, let g hi<br />

be the number of households selected in the cluster. The second stage selection<br />

probability for each household in the cluster is calculated as follows:<br />

b<br />

hi<br />

P =<br />

2 hi<br />

g<br />

L<br />

hi<br />

hi<br />

The overall selection probability of each household in cluster i of stratum h is therefore the<br />

production of the selection probabilities:<br />

Phi<br />

= P0 hi<br />

× P1<br />

hi<br />

× P2<br />

hi<br />

Because of the non-proportional allocation of the sample to the different 7 reporting domains,<br />

sampling weights are required for any analysis using VPAIS <strong>2005</strong> data to ensure the actual<br />

representativity of the sample at the national level. The sampling weight for each household in cluster i of<br />

stratum h is the inverse of its selection probability:<br />

W = 1/<br />

hi<br />

P hi<br />

Appendix A | 99

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