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Design of a Multi-Stage Stratified Sample for Poverty and Welfare Monitoring with Multiple Objectives: A Bangladesh Case Study

This paper describes the design of a multi-stage stratified sample for the Bangladesh Household Income and Expenditure Survey 2016/17. This survey instrument will be used by the Government of Bangladesh to estimate reliable poverty and welfare statistics at three different levels: (i) annual estimates at the district level, (ii) quarterly estimates at the national level, and (iii) annual estimates at the division level for urban and rural areas. The sample for this survey was designed to achieve these three objectives. The paper explains how the three objectives are prioritized and how inconsistencies in achieving more than one objective can be reconciled. Further, the paper modifies the standard formulas to estimate the optimal sample size and the allocation of the sample across strata by explicitly taking into consideration the effect of clustering in the sample.