Afghanistan Mortality Survey 2010 - Measure DHS

ased on sampling probabilities separately for each sampling stage and for each cluster. We use thefollowing notationsP 1hi :P 2hi :first-stage sampling probability of the i th cluster in stratum hsecond -stage sampling probability within the i th cluster (household selection)Let a h be the number of clusters selected in stratum h, M hi the number of households according tothe sampling frame in the i th cluster, and M hi the total number of households in the stratum. Theprobability of selecting the i th cluster in the AMS 2010 sample is calculated as follows:ahM MLet bhibe the proportion of households in the selected segment with respect to the total numberof households in the EA i in stratum h if the EA is segmented, otherwisebhi= 1. Then the probability ofselecting cluster i in the sample is:ahM hiP 1hi=× bhi M hiLet Lhibe the number of households listed in the household listing operation in cluster i instratum h, let ghibe the number of households selected in the cluster. The second stage’s selectionprobability for each household in the cluster is calculated as follows:hihigP2hi=LThe overall selection probability for each household in cluster i of stratum h is therefore theproduction of the two stages selection probabilities:hihiPhi= P1 hi× P2hiThe sampling weight for each household in cluster i of stratum h is the inverse of its overallselection probability:W = 1/hiP hiA spreadsheet containing all sampling parameters and selection probabilities was prepared forfacilitating the calculation of sampling weights. Sampling weights were adjusted for household nonresponseas well as for individual non-response, for household and individual surveys, respectively. Thedifferences in the household weights and the individual weights were introduced by individual nonresponse.The final weights were normalized in order to give the total number of un-weighted cases equalto the total number of weighted cases at the national level, for both household weights and individualweights, respectively.In Appendix B, sampling errors were calculated for selected indicators of greater importance, forboth national estimates and domain estimates.150 | Appendix A