Proceedings of the Korean Statistical Society Conference (한국통계학회:학술대회논문집)
- 2003.10a
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- Pages.123-130
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- 2003
Multi-Level Rotation Designs for Unbiased Generalized Composite Estimator
- Park, You-Sung (Department of Statistics, Korea University) ;
- Choi, Jai-Won (Mathematical statistician, NCHS,CDC) ;
- Kim, Kee-Whan (Department of Statistics, Korea University)
- Published : 2003.10.31
Abstract
We define a broad class of rotation designs whose monthly sample is balanced in interview time, level of recall, and rotation group, and whose rotation scheme is time-invariant. The necessary and sufficient conditions are obtained for such designs. Using these conditions, we derive a minimum variance unbiased generalized composite estimator (MVUGCE). To examine the existence of time-in-sample bias and recall bias, we also propose unbiased estimators and their variances. Numerical examples investigate the impacts of design gap, non-sampling error sources, and two types of correlations on the variance of MVUGCE.
Keywords
- Three-way balanced design;
- Time-invariant rotation scheme;
- Necessary and sufficient conditions;
- Generalized composite estimator;
- Unbiased estimator