GREG estimation and probabilistic editing

The purpose of editing is to correct erroneous entries in the dataset and assure the quality of data. It takes a lot of resources to correct all errors, so editing procedures where only a subset of errors to be corrected are sought after. Correcting only a subset of all errors will influence the final estimates, and tools evaluating the properties of the estimates like bias and variance need to be available. This paper introduces a probabilistic editing procedure where the responses are selected for editing through Poisson Mixture (PoMix) sampling and a bias adjusted GREG estimator is used for estimation. An expression for the variance of the bias adjusted GREG estimator is derived, and variance estimator is proposed. The effectiveness of the proposed editing procedure and the GREG estimator is illustrated using empirical data from Statistics Sweden. Copyright Sapienza Università di Roma 2012