A class of adaptive distribution-free procedures

Journal of Statistical Planning and Inference

Volumn 59, Issue 2, 1997, Pages 191-211

  Sun, Shan ^a  

^a TEXAS TECH UNIVERSITY   (United States)

Author keywords

Adaptive nonparametric procedures; Lung cancer data; Monte Carlo studies; Multiple comparisons; One way analysis of variance; Ordered alternatives; Weight gain of chicks

Indexed keywords

EID: 0031569677     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(96)00116-4     Document Type: Article

References (23)

1. Anscombe, F.J. (1967). Topics in the investigation of linear relations fitted by the method of least squares. J. Roy. Statist. Soc. Ser. B 29, 1-52.
2. Bauer, D.F. (1972). Constructing confidence sets using rank statistics. J. Amer. Statist. Assoc. 67, 687-690.
3. Bickel, P.J. and K.A. Doksum (1977). Mathematical Statistics: Basic Ideas and Selected Topics. Holden-Day, San Francisco.
4. 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.
5. David, H.A. (1970). Order Statistics. Wiley, New York.
6. Dunn, O.J. (1964). Multiple comparisons using rank sums. Technometrics 6, 241-252.
7. Gastwirth, J.L. (1965). Percentile modifications of two-sample rank tests. J. Amer. Statist. Assoc. 60, 1127-1141.
8. Gibbons, D.J. (1971) Nonparametric Statistical Inference, McGraw-Hill, New York.
9. Harter, H.L. (1960). Tables of the range and studentized range. Ann. Math. Statist. 31, 1122-1147.
10. Hill, N.J., A.R. Padmanabhan and M.L. Puri (1988). Adaptive nonparametric procedures and applications. J. Roy. Statist. Soc. Ser. C 37, 205-218.
11. Hogg, R.V. (1974). Adaptive robust procedures: a partial review and some suggestions for future applications and theory. J. Amer. Statist. Assoc. 69, 909-923.
12. Hogg, R.V., D.M. Fisher and R.H. Randles (1975). A two-sample adaptive distribution-free test. J. Amer. Statist. Assoc. 70, 656-661.
13. Miller, R.G. (1966). Simultaneous Statistical Inference. McGraw-Hill, New York.
14. Miller, R.G. (1977). Developments in multiple comparisons 1966-1976. J. Amer. Statist. Assoc. 72, 779-788.
15. Moore, D.S. (1968). An elementary proof of asymptotic normality of linear combination of order statistics. Ann. Math. Statist. 39, 263-265.
16. Nemenyi, P. (1963). Distribution-free multiple comparisons, Ph.D. thesis, Princeton University.
17. Padmanabhan, A.R. (1977). Hodges - Lehmann estimators in the case of grouped data - I. Comm. Statist. 4, 371-380.
18. Puri, M.L. (1965). Some distribution-free K-sample rank tests of homogeneity against ordered alternatives. Comm. Pure Appl. Math. 18, 51-63.
19. Puri, M.L. and P.K. Sen (1971). Nonparametric Methods in Multivariate Analysis. Wiley, New York.
20. Randles, R.H. and R.V. Hogg (1973). Adaptive distribution-free tests. Comm. Statist. 2, 337-356.
21. Steel, R.G.D. (1961). Some rank-sum multiple comparison tests. Biometrics 17, 539-552.
22. Vorličková, D. (1970). Asymptotic properties of rank tests under discrete distributions. Z. Wahr. Gebiete 14, 275-289.
23. Wegman, E.J. and R. J. Carroll (1977). A Monte Carlo study of robust estmators of location. Comm. Statist. 6, 795-812.