Journal of Official Statistics, Vol.16, No.2, 2000. pp. 113–131
Nearest Neighbor Imputation for Survey Data
Jiahua Chen and Jun Shao
Abstract:Nearest neighbor imputation is one of the hot deck methods used to compensate for nonresponse in sample surveys. Although it has a long history of application, few theoretical properties of the nearest neighbor imputation method are known prior to the current article. We show that under some conditions, the nearest neighbor imputation method provides asymptotically unbiased and consistent estimators of functions of population means (or totals), population distributions, and population quantiles. We also derive the asymptotic variances for estimators based on nearest neighbor imputation and consistent estimators of these asymptotic variances. Some simulation results show that the estimators based on nearest neighbor imputation and the proposed variance estimators have good performances.
Keywords:biases; hot deck; quantiles; sample means; variance estimation.
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