Science in China Series A: Mathematics

, Volume 45, Issue 1, pp 42–63 | Cite as

Sample rotation theory with missing data



This paper studies how the sample rotation method is applied to the case where item non-response occurs in surveys. The two cases where the response to the first occasion is complete or incomplete are considered. Using ratio imputation method, the estimators of the current population mean are proposed, which are valid under uniform response regardless of the model and under the ratio model regardless of the response mechanism. Under uniform response, the variances of the proposed estimators are derived. Interestingly, although their expressions are similar, the estimator for the case of incomplete response on the first occasion can have smaller variance than the one for the case of complete response on the first occasion under uniform response. The linearized jackknife variance estimators are also given. These variance estimators prove to be approximately design-unbiased under uniform response. It should be noted that similar property on variance estimators has not been discussed in literature.


sample rotation auxiliary variable item nonresponse ratio imputation jackknife variance estimator uniform response 


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Copyright information

© Science in China Press 2003

Authors and Affiliations

  1. 1.Institute of Systems ScienceAcademy of Mathematics and System Sciences, Chinese Academy of SciencesBeijingChina

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