KMS Of Academy of mathematics and systems sciences, CAS
Sample rotation theory with missing data | |
Zou, GH; Feng, SY; Qin, HZ | |
2002 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY |
ISSN | 1006-9283 |
Volume | 45Issue:1Pages:42-63 |
Abstract | This paper studies how the sample rotation method is applied to the case where item nonresponse 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. |
Keyword | sample rotation auxiliary variable item nonresponse ratio imputation jackknife variance estimator uniform response |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000175241700005 |
Publisher | SCIENCE CHINA PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17604 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Zou, GH,Feng, SY,Qin, HZ. Sample rotation theory with missing data[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2002,45(1):42-63. |
APA | Zou, GH,Feng, SY,&Qin, HZ.(2002).Sample rotation theory with missing data.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,45(1),42-63. |
MLA | Zou, GH,et al."Sample rotation theory with missing data".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 45.1(2002):42-63. |
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