Design-based random permutation models with auxiliary information
Department of Medicine, Division of Preventive and Behavioral Medicine
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.
auxiliary variable, design-based inference, prediction, finite sampling, random permutation model, simultaneous permutation
DOI of Published Version
Li W, Stanek EJ 3rd, Singer JM. Design-based random permutation models with auxiliary information(¶). Statistics (Ber). 2012 Jan 1;46(5):663-671. Link to article on publisher's site
Li, Wenjun; Stanek, Edward J. III; and Singer, Julio M., "Design-based random permutation models with auxiliary information" (2012). Preventive and Behavioral Medicine Publications. 286.