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http://dx.doi.org/10.5351/CKSS.2008.15.6.947

Median Ranked Ordering-Set Sample Test for Ordered Alternatives  

Kim, Dong-Hee (Department of Statistics, Statistical Research Institute, Pusan National University)
Ock, Bong-Seak (Department of Statistics, Pusan National University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.6, 2008 , pp. 947-957 More about this Journal
Abstract
In this paper, we consider the c-sample location problem for ordered alternatives using median ranked ordering-set samples(MROSS). We propose the test statistic using the median of samples that have the same ranked order in each cycle of ranted ordering-set sample(ROSS). We obtain the asymptotic property of the proposed test statistic and Pitman efficiency with respect to other test statistic. In simulation study, our proposed test statistic has good powers for some underlying distributions we consider.
Keywords
Median ranked ordering-set samples; ordered alternatives; Jonckheere(1954); Pitman efficiency;
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  • Reference
1 Stokes, S. L. (1977). Ranked set sampling with concomitant variables, Communications in Statistics - Theory and Methods, 6, 1207-1211   DOI   ScienceOn
2 Bohn, L. L. and Wolfe, D. A. (1994). The effect of imperfect judgement 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   DOI
3 Dell, T. R. and Clutter, J. L. (1972). Ranked-set sampling theory with order statistics background, Biometrics, 28, 545-553   DOI   ScienceOn
4 Koti, K. M. and Babu, G. J. (1996). Sign test for ranked-set sampling, Communications in Statistics - Theory and Methods, 25, 1617-1630   DOI   ScienceOn
5 Ozturk, O. (1999). Two-sample inference based on one-sample ranked set sample sign statistics, Journal of Nonparametric Statistics, 10, 197-212   DOI   ScienceOn
6 Randles, R. H. and Wolfe, D. A. (1979). Introduction to the theory of nonparametric statistics, John Wiley & Sons, New York
7 Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution, The Annals of Mathematical Statistics, 19, 293-325   DOI
8 Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives, Biometrika, 41, 133-145   DOI
9 Kim, D. H., Kim, H. G. and Park, H. K. (2000). Nonparametric test for ordered alternatives on multiple ranked-set samples, The Korean Communications in Statistics, 7, 563-573
10 Hettmansperger, T. P. (1995). The ranked-set sample sign test, Journal of Nonparametric Statistics, 4, 263-270   DOI   ScienceOn
11 Kim, D. H., Kim, H. G. and You, S. H. (2006). Nonparametric test for ordered alternatives on ranked ordering-set samples, Journal of the Korean Data Analysis Society, 8, 459-467
12 Takahasi, K. and Wakimoto, K. (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   DOI
13 Bohn, L. L. and Wolfe, D. A. (1992). Nonparametric two-sample procedures for ranked-set samples data, Journal of the American Statistical Association, 87, 552-561   DOI
14 Kim, D. H. and Kim, H. G. (2003). Sign test using ranked ordering-set sampling, Journal of Nonparametric Statistics, 15, 303-309   DOI   ScienceOn
15 McIntyre, G. A. (1952). A method for unbiased selective sampling using ranked sets, Australian Journal of Agricultural Research, 3, 385-390   DOI
16 Stokes, S. L. and Sager, T. W. (1988). Characterization of a ranked-set sample with application to estimating distribution functions, Journal of the American Statistical Association, 83, 374-381   DOI