Subset selection with additional order information

Biometrics

Volumn 52, Issue 4, 1996, Pages 1363-1374

  Pan, Guohua ^a  

^a OAKLAND UNIVERSITY   (United States)

Author keywords

Order restricted inference; Umbrella ordering; Unimodal ordering

Indexed keywords

ISOTONIC REGRESSION; ORDER RESTRICTED INFERENCE; SELECTION PROCEDURES; SUBSET SELECTION; TREATMENT EFFECTS; TREATMENT LEVEL; UMBRELLA ORDERING; UNIMODAL; UNIMODAL ORDERING;

ALGORITHM; ARTICLE; BIOMETRY; DATA ANALYSIS; STATISTICAL ANALYSIS;

EID: 0030480294     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2532850     Document Type: Article

References (19)

1. Barlow, R. E., Bartholomew, D. J., Bremner, J. M., and Brunk, H. D. (1972). Statistical Inference Under Order Restrictions. New York: John Wiley.
2. Bechhofer, R. E., Santner, T. J., and Goldsman, D. M. (1995). Designing Experiments for Statistical Selection, Screening, and Multiple Comparisons. New York: John Wiley and Sons.
3. Bremner, J. M. (1993). A new approach to subset selection for normal means. Journal of Statistical Computation and Simulation 44, 187-208.
4. Chen, Y. I. and Wolfe, D. A. (1993). Nonparametric procedures for comparing umbrella pattern treatment effects with a control in a one-way layout. Biometrics 49, 455-465.
5. Gupta, S. S. (1956). On a decision rule for a problem in ranking means. Ph.D. dissertation, Institute of Statistics Mimeo Series 15O, University of North Carolina, Chapel Hill, North Carolina.
6. Gupta, S. S. (1965). On some multiple decision (selection and ranking) rules. Technometrics 7, 225-245.
7. Gupta, S. S. and Leu, L. Y. (1986). Isotonic procedures for selecting populations better than a standard: Two-parameter exponential distributions. In Reliability and Quality Control, A. P. Basu (ed), 167-183. New York: North-Holland.
8. Liang, T. (1988). Isotonic rules for selecting good exponential populations. Communications in Statistics - Theory and Methods 17, 1871-1887.
9. Liang, T. and Panchapakesan, S. (1992). Isotonic selection with respect to a control: A Bayesian approach. The Frontiers of Modern Statistical Inference Procedures 2, 273-286.
10. Lucas, L. A., Robertson, T., and Wright, F. T. (1989). Approximating the level probabilities for a unimodal ordering. Communications in Statistics - Simulation and Computation 18, 1401-1402.
11. Mack, G. A. and Wolfe, D. A. (1981). K-sample rank tests for umbrella alternatives. Journal of the American Statistical Association 76, 175-181.
12. Margolin, B. H., Kaplan, N., and Zeiger, E. (1981). Statistical analysis of the Ames Salmonella/ microsome test. Proceedings of the National Academy of Science, U.S.A. 78, 3779-3783.
13. Pan, G. and Wolfe, D. A. (1996). Comparing groups with umbrella orderings. Journal of the American Statistical Association 91, 311-317.
14. Robertson, T., Wright, F. T., and Dykstra, R. L. (1988). Order Restricted Statistical Inference. New York: John Wiley and Sons.
15. Shi, N.-Z. (1988). A test of homogeneity for umbrella alternatives and tables of the level probabilities. Communications in Statistics - Theory and Methods 17, 657-670.
16. Simpson, D. G. and Margolin, B. H. (1986). Recursive nonparametric testing for dose-response relationships subject to downturns at high doses. Biometrika 73, 589-596.
17. Somerville, P. N. (1984). A multiple range subset selection procedure. Journal of Statistical Computation and Simulation 19, 215-226.
18. Somerville, P. N. (1985). A new subset selection method for normal populations. Journal of Statistical Computation and Simulation 22, 27-50.
19. Wechsler, D. (1958). The Measurement and Appraisal of Adult Intelligence. Baltimore: The Williams and Wilkins Company.