A new ranked set sampling protocol for the signed rank test

Journal of Statistical Planning and Inference

Volumn 96, Issue 2, 2001, Pages 351-370

  Öztürk, Ömer ^a   Wolfe, Douglas A ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

62G10; 62G20; 62G30; Nonparametric test; Pitman efficiency; Sampling design; Sequential sampling

Indexed keywords

EID: 0035402162     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(00)00211-1     Document Type: Article

References (25)

1. Bohn L.L. A ranked-set sample signed-rank statistic. J. Nonpar. Statist. 9:1998;295-306.
2. Bohn L.L., Wolfe D.A. Nonparametric two-sample procedure for ranked-set samples data. J. Amer. Statist. Assoc. 87:1992;552-561.
3. Bohn L.L., Wolfe D.A. 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. 89:1994;168-176.
4. Chen S.-H. Ranked set sampling theory with selective probability vector. J. Statist. Plan. Inference. 8:1983;161-174.
5. Dell T.R., Clutter J.L. Ranked set sampling theory with order statistics background. Biometrics. 28:1972;545-553.
6. Halls L.S., Dell T.R. Trial of ranked-set sampling for forage yields. Forest Science. 12:1966;22-26.
7. Hettmansperger T.P. Statistical Inference Based on Ranks. 1991;Krieger, Malabar, Florida.
8. Hettmansperger T.P. The ranked-set sample sign test. J. Nonpar. Statist. 4:1995;263-270.
9. Kaur A., Patil G.P., Taillie C. Unequal allocation models for ranked set sampling with skew distribution. Biometrics. 53:1997;123-130.
10. Koti M.K., Babu G.J. Sign test for ranked-set sampling. Comm. Stat. Theory Methods. 25:1996;1617-1630.
11. Kvam P.H., Samaniego F.J. Nonparametric maximum likelihood estimation based on ranked set sampling. J. Amer. Statist. Assoc. 89:1994;526-537.
12. "Oztürk Ö. One and two sample sign tests for ranked set samples with selective designs. Comm. Stat. Theory Methods. 28:1999;1231-1245.
13. "Oztürk Ö. Two sample inference based on one sample ranked set sample sign stastistic. J. Nonpar. Statist. 10:1999;197-212.
14. "Oztürk Ö., Wolfe D.A. Alternative ranked set sampling protocols for the sign test. Statist. & Prob. Letters. 47:2000;15-23.
15. Randles R.H., Wolfe D.A. Introduction to the Theory of Nonparametric Statistics. 1991;Krieger, Malabar, Florida.
16. Shirahata S. An extension of the ranked set sampling theory. J. Statist. Plan. Inference. 6:1982;65-72.
17. Stokes S.L. Ranked-set sampling with concomitant variables. Comm. Statist. Theory Methods. 6:1977;1207-1211.
18. Stokes S.L. Estimation of variance using judgment ordered ranked set samples. Biometrics. 36:1980;35-42.
19. Stokes S.L. Inferences on the correlation coefficient in bivariate normal populations from ranked set samples. J. Amer. Statist. Assoc. 75:1980;989-995.
20. Stokes S.L., Sager T.W. Characterization of a ranked set sample with application to estimating distribution functions. J. Amer. Statist. Assoc. 83:1988;374-381.
21. Takahasi K. On estimation of the population mean based on ordered samples from an equicorrelated multivariate distribution. Ann. Inst. Statist. Math. 21:1969;249-255.
22. Takahasi K. Practical note on estimation of population means based on samples stratified by means of ordering. Ann. Inst. Statist. Math. 22:1970;421-428.
23. Takahasi K., Wakimoto K. On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann. Inst. Statist. Math. 20:1968;1-31.
24. Yanagawa T., Chen S.-H. The MG-procedure in ranked set sampling. J. Statist. Plan. Inference. 4:1980;33-44.
25. Yanagawa T., Shirahata S. Ranked set sampling theory with selective probability matrix. Austral. J. Statist. 18:1976;45-52.