Comments on the paper 鈥淏ias-adjustment and calibration of jackknife variance estimator in the presence of non-response鈥?/span>

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• 作者：Wesley Yung^a ; ^{Wesley.Yung@statcan.gc.ca} ; David Haziza^b ; ^{David.Haziza@umontreal.ca}
• 关键词：Bias-adjusted estimator ; Jackknife variance estimation ; Nonresponse ; Two-phase sampling
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2012
• 期刊代码：36_03783758
• 类别：mt
• 出版时间：July, 2012
• 卷：142
• 期：7
• 页码：2232-2240
• 文件大小：164 K

摘要

presented a bias adjustment to the jackknife variance estimator of in the presence of non-response. In their paper, they obtained a second-order approximation of the bias of the Rao-Sitter variance estimator and then proposed a bias-adjusted estimator based on this approximation. To compare their proposed variance estimator to various other variance estimators, they performed a simulation study and showed that their variance estimator is superior to the Rao-Sitter variance estimator. In fact they showed that the Rao-Sitter variance estimator suffers from severe underestimation. These results contradict those in the literature, which indicate that the Rao-Sitter variance estimator suffers from a positive bias if the sampling fractions are not negligible; see , and . Because of this contradiction, we felt that a further investigation was warranted. In this paper, we attempt to recreate the results of and, in fact, show that their second order approximation to the bias of the Rao-Sitter variance estimator is incorrect and that their simulation results are also questionable.