7-subpopulation mean - targetedelements a subpopulation...

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4/3/2013 1 7. Sub population Estimation (Domain Estimation) 1 It is impossible to obtain a frame that lists only targeted elements. We are interested in obtaining information of a subpopulation from a sample that is taken from a bigger population. 2 Example We may wish to sample households containing children, but the best frame available may be a list of all households in a city. From a sample of factory workers we might be interested in obtaining information about female workers or older workers. 3 Let N denote the number of elements in the population and let N 1 be the number of elements in the subpopulation of interest. A simple random sample of n elements is selected from the population.. Let n 1 be the number of sampled elements that are from the subpopulation of interest Let y denote the subpopulation of interest. Let 1j the j th sampled observation that falls in the subpopulation. Then the sample mean for elements taken from the subpopulation is = = 1 1 1 1 1 1 n j j y n y
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