After pooling the data and de-normalizing the weight, you can use the de-normalized weight for any kind of analysis, restricted to a domain or not, except for estimating totals, because the weight is not in the right scale for totals. If your analysis is restricted to one survey, then you have the choice to use either the original weight or the de-normalized weight, you should get the same results. If your analysis crosses surveys, you must use the de-normalized weight.

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