An improved ranked set two-sample Mann-Whitney-Wilcoxon test

Canadian Journal of Statistics

Volumn 28, Issue 1, 2000, Pages 123-135

  Öztürk, Ömer ^a   Wolfe, Douglas A ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Design; Information; Mann Whitney Wilcoxon test; Mode; Nonparametric testing; Pitman efficiency; Unequal allocation

Indexed keywords

EID: 0034344435     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3314843     Document Type: Article

References (20)

1. D. S. Bhoj (1997). New parametric ranked set sampling. Journal of Applied Statistical Science, 6, 275-289.
2. L. L. Bohn (1998). A ranked-set sample signed-rank statistic. Journal of Nonparametric Statistics, 9, 295-306.
3. L. L. Bohn & D. A. Wolfe (1992). Nonparametric two-sample procedures for ranked-set samples data. Journal of the American Statistical Association, 87, 552-561.
4. L. L. Bohn & D. A. Wolfe (1994). The effect of imperfect judgment rankings on properties of procedures based on the ranked-set samples analog of the Mann-Whitney-Wilcoxon statistic. Journal of the American Statistical Association, 89, 168-176.
5. T. R. Dell & J. L. Clutter (1972). Ranked-set sampling theory with order statistics background. Biometrics, 28, 545-555.
6. L. K. Halls & T. R. Dell (1966). Trial of ranked-set sampling for forage yields. Forest Science, 12, 22-26.
7. T. P. Hettmansperger (1995). The ranked-set sample sign test. Journal of Nonparametric Statistics, 4, 263-270.
8. M. Hollander & D. A. Wolfe (1999). Nonparametric Statistical Methods. 2nd edition, John Wiley, New York.
9. A. Kaur, G. P. Patil & C. Taillie (1997). Unequal allocation models for ranked set sampling with skew distributions. Biometrics, 53, 123-130.
10. M. K. Koti & G. J. Babu (1996). Sign test for ranked-set sampling. Communications in Statistics-Theory and Methods, 25, 1617-1630.
11. G. A. McIntyre (1952). A method of unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research, 3, 385-390.
12. Ö. Öztürk (1999a). One and two sample sign tests for ranked set samples with selective designs. Communications in Statistics-Theory and Methods, 28, 1231-1245.
13. Ö. Öztürk (1999b). Two sample inference based on one sample ranked set sample sign statistic. Journal of Nonparametric Statistics, 10, 197-212.
14. Ö. Öztürk & D. A. Wolfe (1998). Optimal ranked set sampling protocol for the signed rank test. Technical Report No 630, Department of Statistics, The Ohio State University, Columbus, OH.
15. Ö. Öztürk & D. A. Wolfe (2000a). Optimal allocation procedure in ranked set sampling for unimodal and multi-modal distributions. Environmental and Ecological Statistics (To appear.)
16. Ö. Öztürk & D. A. Wolfe (2000b). Alternative ranked set sampling protocols for the sign test. Statistics & Probability Letters, 47, 15-25.
17. R. H. Randles & D. A. Wolfe (1991). Introduction to the Theory of Nonparametric Statistics. Krieger, Malabar, FL.
18. S. L. Stokes (1977). Ranked set sampling with concomitant variables. Communications in Statistics-Theory and Methods, 6, 1207-1211.
19. S. L. Stokes & T. W. Sager (1988). Characterizations of a ranked-set sample with application to estimating distribution functions. Journal of the American Statistical Association, 83, 374-381.
20. K. Takahasi & K. Wakimoto (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20, 1-31.