Characteristics of Households - Childinfo.org
Characteristics of Households - Childinfo.org
Characteristics of Households - Childinfo.org
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Calculation <strong>of</strong> Sample WeightsThe sample for Roma settlements is not self-weighting, dueto disproportional allocation <strong>of</strong> the sample to the strata,categories <strong>of</strong> households (with/without children under 5)and the final non-response. In order to obtain representativeresults for the Roma settlements, sample weights were used.The major component <strong>of</strong> the weight is the reciprocal value<strong>of</strong> the sampling fraction employed in selecting the number<strong>of</strong> sample households in a particular sampling stratum (h),from PSU (i) within category (c):W hicf hichic= 1The term f hic , the sampling fraction for the c-th categorywithin the i-th sample PSU in the h-th stratum, is theproduct <strong>of</strong> the probabilities <strong>of</strong> selection at every stagein each sampling stratum:f hic= p 1hix p 2hicwhere p shic is the probability <strong>of</strong> selection <strong>of</strong> the sampling unitat each stage s=(1,2) for the sample households in category c<strong>of</strong> the i-th sample PSU in the h-th sampling stratum.Since the estimated number <strong>of</strong> households in eachenumeration area (PSU) in the sampling frame used for thefirst stage selection and the updated number <strong>of</strong> householdsin the enumeration area from the listing were different,individual sampling fractions for households in eachsample enumeration area (cluster) by second stage stratum(with/without children) were calculated. The samplingfractions for households in each enumeration area (cluster)and second stage stratum therefore included the first stageprobability (p 1hi ) <strong>of</strong> selection <strong>of</strong> the enumeration area inthat particular sampling stratum and the second stageprobability (p 2hic ) <strong>of</strong> selection <strong>of</strong> a household in the sampleenumeration area (cluster) and second stage stratum.A second component in the calculation <strong>of</strong> sample weightstakes into account the level <strong>of</strong> non-response for thehousehold and individual interviews. The adjustment forhousehold non-response is equal to the inverse value <strong>of</strong>:RR hc= Number <strong>of</strong> interviewed households in stratum hc /Number <strong>of</strong> sample occupied households in stratum hcAfter the completion <strong>of</strong> fieldwork, response rates werecalculated for each sampling stratum. These were usedto adjust the sample weights calculated for each cluster.Response rates in the Serbia Multiple Indicator ClusterSurvey are shown in Table HH.1 in this report.Similarly, the adjustment for non-response at theindividual level (women, under-5 children and men)for each stratum is equal to the inverse value <strong>of</strong>:RR hc = Completed women’s (or under-5’s, or men’s)questionnaires in stratum hc / Eligible sample women(or under-5s, or men’s) in stratum hcThe non-response adjustment factors for women’s, under-5’sand men’s questionnaires are applied to the adjustedhousehold weights. The numbers <strong>of</strong> eligible women,under-5 children and men were obtained from the roster<strong>of</strong> household members in the Household Questionnairefor households where interviews were completed.The design weights for the households were calculatedby multiplying the above factors for each enumerationarea and second stage stratum (with/without children).These weights were then standardized (or normalized),one purpose <strong>of</strong> which is to make the weighted sum <strong>of</strong> theinterviewed sample units equal the total sample size atthe national level. Normalization is performed by dividingthe aforementioned design weights by the average designweight at the national level. The average design weight iscalculated as the sum <strong>of</strong> the design weights divided by theunweighted total). A similar standardization procedurewas followed in obtaining standardized weights for thewomen’s, under-5’s and men’s questionnaires. Adjusted(normalized) weights varied between 0.14 and 13.0 inthe 100 sample enumeration areas (clusters).Sample weights were appended to all data sets andanalyses were performed by weighting the data for eachsample household, woman, under-5 and men with thesesample weights.MONITORING THE SITUATION OF CHILDREN AND WOMEN 263