Determining the Effect of Measurement Errors and Estimation of Mean by Factor-Type Estimator in Simple Random Sampling

Abstract

In sample surveys, non-sampling errors are inherent due to non-response and measurement errors. Non-response occurred when the response is not available from respondent due to not being at home, no willingness to answer etc. Another error is the difference between the observed and actual values is known as measurement error. For dealing with such kind of errors1, we advocate the use of factor-type estimator for estimation of population mean in this manuscript and the expressions of the bias, mean square error (MSE) and optimum mean square error of suggested estimator has been derived. An empirical study is also performed over a real data set and bias, mean squared error and efficiency calculated for comparison purpose by simulation.