RT Journal Article
T1 Estimation of proportions in small areas: application to the labour force using the Swiss Census Structural Survey
A1 Molina Peralta, Isabel
A1 Strzalkowska-Kominiak, Ewa
AB The main objectives of this paper are to find efficient but computationally simpleestimators for the proportions of people in the labour force (economic activity rates) in Swisscommunes and to estimate their mean-squared error (MSE) over the sampling replication mechanism(the design MSE). This will be done by combining survey data with administrative dataprovided by the Swiss Federal Statistical Office. We find estimators with considerably greaterefficiency than currently used direct estimators and that are easy to implement. We show that,under a generalized linear mixed model with logit link, the computationally expensive empiricalbest predictor does not perform appreciably better than a plug-in estimator. Moreover, for moderateproportions of active workers, the empirical best linear unbiased predictor (EBLUP) basedon a much simpler linear mixed model performs similarly to the above estimators. We proposenew bootstrap estimators of the design MSE of the EBLUPs, which ‘borrow strength’ similarly toEBLUPs. Realistic simulation studies carried out under both model- and design-based set-upsindicate great gains in efficiency of the selected small area estimators over the traditional directestimators and acceptable performance of the proposed bootstrap MSE estimators. In the applicationusing the Swiss data, coefficient-of-variation reductions of the estimates obtained forthe communes are remarkable.
PB Wiley
YR 2020
FD 2020-01-01
LK https://hdl.handle.net/10016/34972
UL https://hdl.handle.net/10016/34972
LA eng
DS e-Archivo
RD 11 sept. 2024