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Villages within dzongkhags were the first sampling stage and households within villages the second sampling stage.
) Henceforth the subscript S will denote expectation and variance with respect to the first sampling stage, the subscript Q will denote expectation and variance with respect to the second sampling stage, conditional to the sample S selected in the first stage, while expectation and variance with respect to both stages are presented without a subscript.
The purpose of our investigation was to compare the statistical efficiency of OPSS for selecting satellite imagery segments at a first sampling stage and pixels within the selected segments at a second sampling stage with respect to the benchmark use of simple random sampling without replacement (SRSWOR) at both stages.
The second sampling stage involved systematically selecting households from the selected clusters.
At the second sampling stage, classes within the selected schools were randomly selected.
At the second sampling stage, households were drawn from phone listings.
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For example, the base weight for Guangdong Province on the first sampling stage was calculated by dividing the total number of eastern provinces (9) by the number of eastern provinces selected (4).
Then, 50% of households were randomly sampled from the first sampling stage.
The first sampling stage consisted of randomly selecting 8 out of the 19 districts.
In the first sampling stage, we sampled 19 public/concerted and 30 private institutions with probability proportional to its size.
At the first sampling stage, 190 primary sampling units (i.e. boroughs or groups of boroughs) were selected.
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