Modified Ratio Estimators in Stratified Random Sampling
Prayad Sangngam
Abstract
Prayad Sangngam
Abstract
Abstract This paper considers two modified ratio estimators of population mean in stratified random sampling. The approximated mean squared error and bias of the proposed estimators are derived and theoretically compared with those of the existing estimators. The results show that the modified estimators produce smaller mean squared error and bias than the existing estimators in some conditions. Moreover, the theoretical result is confirmed by using a census data set. Keywords: Ratio estimator, Mean squared error, Stratified random sampling.
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Abstract This paper considers two modified ratio estimators of population mean in stratified random sampling. The approximated mean squared error and bias of the proposed estimators are derived and theoretically compared with those of the existing estimators. The results show that the modified estimators produce smaller mean squared error and bias than the existing estimators in some conditions. Moreover, the theoretical result is confirmed by using a census data set. Keywords: Ratio estimator, Mean squared error, Stratified random sampling.
Key concepts: Estimator, Stratified sampling, Population mean, Mean squared error, Statistics, Mathematics, Ratio estimator, Sampling (signal processing)