Linear rank score statistics when ties are present

Statistics and Probability Letters

Volumn 41, Issue 2, 1999, Pages 389-395

  Munzel, Ullrich ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Asymptotic normality; Chernoff savage theorem; Ordered categorical data; Rank statistic; Ties

Indexed keywords

EID: 0033556977     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00185-0     Document Type: Article

References (16)

1. Akritas, M.G., Arnold, S.F., Brunner, E., 1997. Nonparametric hypotheses and rank statistics for unbalanced factorial designs. J. Amer. Statist. Assoc. 92, 258-265.
2. Akritas, M.G., Brunner, E., 1997. A unified approach to rank tests for mixed models. J. Statist. Plann. Inference 61, 249-279.
3. Behnen, K., 1976. Asymptotic comparision of rank tests for the regression problem when ties are present. Ann. Statist. 4, 157-174.
4. Boos, D.D., Brownie, C., 1992. A rank-based mixed model approach to multisite clinical trials. Biometrics 48, 61-72.
5. Brunner, E., Denker, M., 1994. Rank statistics under dependent observations and applications to factorial designs. J. Statist. Plann. Inference 42, 353-378.
6. Brunner, E., Puri, M.L., 1996. Nonparametric methods in design and analysis of experiments. In: Handbook of Statistics, vol. 13, North-Holland, Amsterdam, pp. 631-703.
7. Brunner, E., Puri, M.L., Sun, S., 1995. Nonparametric methods for stratified two-sample designs with application to multi clinic trials. J. Amer. Statist. Assoc. 90, 1004-1014.
8. Bühler, W.J., 1967. The treatment of ties in the Wilcoxon test. Ann. Math. Statist. 38, 519-522.
9. Chanda, K.C., 1963. On the efficiency of the two-sample Mann-Whitney test for discrete populations. Ann. Math. Statist. 34, 612-617.
10. Chernoff, H., Savage, I., 1958. Asymptotic normality and efficiency of certain nonparametric test statistics. Ann. Math. Statist. 29, 972-994.
11. Conover, W.J., 1973. Rank tests for one sample, two samples, and k samples without the assumption of a continuous distribution function. Ann. Statist. 1, 1105-1125.
12. Hoeffding, W., 1973. On the centering of a simple linear rank statistic. Ann. Statist. 1, 54-66.
13. Munzel, U., 1994. Asymptotische Normalität Linearer Rangstatistiken bei Bindungen unter Abhängigkeit, Diploma Thesis, Inst. f. Mathematische Stochastik, Universität Göttingen.
14. Putter, J., 1955. The treatment of ties in some nonparametric tests. Ann. Math. Statist. 26, 368-386.
15. Vorličková, D., 1970. Asymptotic properties of rank tests under discrete distributions. Z. Wahrscheinlichkeitstheorie Verwandte Gebiete 14, 275-289.
16. Vorličková, D., 1972. Asymptotic properties of rank tests of symmetry under discrete distributions. Ann. Math. Statist. 43, 2013-2018.