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Design-based random permutation models with auxiliary information |
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| Authors: | Wenjun Li Edward J Stanek III Julio M Singer |
| Institution: | 1. Division of Preventive and Behavioral Medicine , University of Massachusetts Medical School , Shaw Building SH2-230, 55 Lake Avenue North, Worcester , MA , 01655 , USA wenjun.li@umassmed.edu;3. Department of Public Health , University of Massachusetts , Amherst , MA , USA;4. Departamento de Estatística , Universidade de S?o Paulo , S?o Paulo , Brazil |
| Abstract: | We extend the random permutation model to obtain the best linear unbiased estimator of a finite population mean accounting for auxiliary variables under simple random sampling without replacement (SRS) or stratified SRS. The proposed method provides a systematic design-based justification for well-known results involving common estimators derived under minimal assumptions that do not require specification of a functional relationship between the response and the auxiliary variables. |
| Keywords: | auxiliary variable design-based inference prediction finite sampling random permutation model simultaneous permutation |