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