Ranked set sampling: An approach to more efficient data collection

Statistical Science

Volumn 19, Issue 4, 2004, Pages 636-643

  Wolfe, Douglas A ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Distribution function estimation; Improved precision; Mann whitney wilcoxon statistic; Mean estimation; Nonparametric procedures; Sampling techniques; Structured samples

Indexed keywords

EID: 18844377667     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/088342304000000369     Document Type: Article

References (16)

1. BARNETT, V. and MOORE, K. (1997). Best linear unbiased estimates in ranked-set sampling with particular reference to imperfect ordering. J. Appl. Statist. 24 697-710.
2. BOHN, L. L. (1996). A review of nonparametric ranked-set sampling methodology. Comm. Statist. Theory Methods 25 2675-2685.
3. BOHN, L. L. (1998). A ranked-set sample signed-rank statistic. J. Nonparametr. Statist. 9 295-306.
4. BOHN, L. L. and WOLFE, D. A. (1992). Nonparametric two-sample procedures for ranked-set samples data. J. Amer. Statist. Assoc. 87 552-561.
5. BOHN, L. L. and WOLFE, D. A. (1994). The effect of imperfect judgment rankings on properties of procedures based on the ranked-set samples analog of the Mann-Whitney-Wilcoxon statistic. J. Amer. Statist. Assoc. 89 168-176.
6. HETTMANSPERGER, T. P. (1995). The ranked-set sample sign test. J. Nonparametr. Statist. 4 263-270.
7. KOTI, K. M. and BABU, G. J. (1996). Sign test for ranked-set sampling. Comm. Statist. Theory Methods 25 1617-1630.
8. MCINTYRE, G. A. (1952). A method for unbiased selective sampling, using ranked sets. Australian J. Agricultural Research 3 385-390.
9. NAHHAS, R. W., WOLFE, D. A. and CHEN, H. (2002). Ranked set sampling: Cost and optimal set size. Biometrics 58 964-971.
10. ÖZTÜRK, Ö. and WOLFE, D. A. (2000a). Optimal allocation procedure in ranked set sampling for unimodal and multi-modal distributions. Environmental and Ecological Statistics 7 343-356.
11. ÖZTÜRK, Ö. and WOLFE, D. A. (2000b). An improved ranked set two-sample Mann-Whitney-Wilcoxon test. Canad. J. Statist. 28 123-135.
12. ÖZTÜRK, Ö. and WOLFE, D. A. (2000c). Alternative ranked set sampling protocols for the sign test. Statist. Probab. Lett. 47 15-23.
13. PATIL, G. P. (1995). Editorial: Ranked set sampling. Environmental and Ecological Statistics 2 271-285.
14. PRESNELL, B. and BOHN, L. L. (1999). U-statistics and imperfect ranking in ranked set sampling. J. Nonparametr. Statist. 10 111-126.
15. RANDLES, R. H. and WOLFE, D. A. (1979). Introduction to the Theory of Nonparametric Statistics. Wiley, New York.
16. STOKES, S. L. and SAGER, T. W. (1988). Characterization of a ranked-set sample with application to estimating distribution functions. J. Amer. Statist. Assoc. 83 374-381.