Distribution-free confidence procedure for umbrella orderings

Australian Journal of Statistics

Volumn 38, Issue 2, 1996, Pages 161-172

  Pan, Guohua ^a  

^a OAKLAND UNIVERSITY   (United States)

Author keywords

Confidence subset; Distribution free procedure; Umbrella orderings

Indexed keywords

EID: 0039859672     PISSN: 00049581     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-842X.1996.tb00672.x     Document Type: Article

References (15)

1. BARLOW, R.E., BARTHOLOMEW, D.J., BREMNER, J.M. & BRUNK, H.D. (1972). Statistical Inference Under Order Restrictions. New York: John Wiley and Sons.
2. BECHHOFER, E.B., SANTNER, T.J. & GOLDSMAN, D.M. (1995). Design and Analysis of Experiments for Statistical Selection, Screening and Multiple Comparisons. New York: John Wiley and Sons.
3. CHACKO, V.J. (1963). Testing homogeneity against ordered alternatives. Ann. Math. Statist. 34, 945-956.
4. CHEN, Y.I. & WOLFE, D. A. (1990). A study of distribution-free tests for umbrella alternatives. Biom. J. 32, 47-57.
5. _ & _ (1991). Notes on the Mack-Wolfe and Chen-Wolfe tests for umbrella alternatives. Biom. J. 33, 281-290.
6. HETTMANSPERGER, T.P. & NORTON, R.M. (1987). Tests for patterned alternatives in k-sample problems. J. Amer. Statist. Assoc. 82, 292-299.
7. MACK, G.A. & WOLFE, D.A. (1981). K-sample rank tests for umbrella alternatives. J. Amer. Statist. Assoc. 76, 175-181.
8. PAN, G. & WOLFE, D.A. (1996). Comparing groups with umbrella orderings. J. Amer. Statist. Assoc. 91, 311-317.
9. RANDLES, H.R. & WOLFE, D.A. (1991). Introduction to the Theory of Nonparametric Statistics. Malabar, Florida: Krieger Publishing Co.
10. ROBERTSON, T., WRIGHT, F.T. & DYKSTRA, R.L. (1988). Order Restricted Statistical Inference. New York: John Wiley and Sons.
11. SHI, N-Z. (1988a). Rank test statistics for umbrella alternatives. Comm. Statist. A - Theory Methods 17, 2059-2073.
12. _ (1988b). A test of homogeneity for umbrella alternatives and tables of the level probabilities. Comm. Statist. A - Theory Methods 17, 657-670.
13. SIMPSON, D.G. & MARGOLIN, B.H. (1986). Recursive nonparametric testing for dose-response relationships subject to downturns at high doses. Biometrika 73, 589-596.
14. _ & _(1990). Nonparametric testing for dose-response curves subject to downturns: asymptotic power considerations. Ann. Statist. 18, 373-390.
15. WECHSLER, D. (1958). The Measurement and Appraisal of Adult Intelligence. Baltimore: The Williams and Wilkins Co.