Characteristics of Households - Childinfo.org

Calculation of Sample WeightsThe sample for Roma settlements is not self-weighting, dueto disproportional allocation of the sample to the strata,categories of 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 of the weight is the reciprocal valueof the sampling fraction employed in selecting the numberof 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 of the probabilities of selection at every stagein each sampling stratum:f hic= p 1hix p 2hicwhere p shic is the probability of selection of the sampling unitat each stage s=(1,2) for the sample households in category cof the i-th sample PSU in the h-th sampling stratum.Since the estimated number of households in eachenumeration area (PSU) in the sampling frame used for thefirst stage selection and the updated number of 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 ) of selection of the enumeration area inthat particular sampling stratum and the second stageprobability (p 2hic ) of selection of a household in the sampleenumeration area (cluster) and second stage stratum.A second component in the calculation of sample weightstakes into account the level of non-response for thehousehold and individual interviews. The adjustment forhousehold non-response is equal to the inverse value of:RR hc= Number of interviewed households in stratum hc /Number of sample occupied households in stratum hcAfter the completion of 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 of: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 of eligible women,under-5 children and men were obtained from the rosterof 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 of which is to make the weighted sum of 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 of 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