Efficiency of Several Complex Survey Design using EBLUP in Small Area Estimation

Thedissemination of data from the survey was carried out by estimating the parameter of the survey results. The implementation of the survey at BPS now is getting more complex where direct estimation results are presented into small areas. However, the sample size of direct estimation in small area has a relatively small size so that it is not reliable enough, not efficient and has low precision. Therefore, other statistics are needed that can accommodate the dissemination from total household expenditure data in the small area. In this study of small area, it was carried out by applying the Small Area Estimation (SAE) method, which is Empirical Best Linear Unbiased Prediction (EBLUP) by involving a complex survey design. The sampling method in complex survey design that used are Simple Random Sampling Without Replacement called SRSWOR, One Stage Cluster (SRSWOR), Two Stage Cluster (SRSWOR-SRSWOR) and Two Stage Cluster (Probability Proportional to Size called PPSWR-SRSWOR). The efficiency of estimation result is evaluated based on MSE and RRMSE values that obtained in each method of the complex survey design. According to the calculation results, the largest MSE and RRMSE value of the estimation was obtained from Two Stage Cluster (SRSWOR-SRSWOR) sampling method. Besides, the smallest MSE and RRMSE value was obtained from the SRSWOR sampling method that seem to have distinct advantage over the other sampling method.