Effective directed tests for models with ordered categorical data

Australian and New Zealand Journal of Statistics

Volumn 45, Issue 3, 2003, Pages 285-300

  Cohen, Arthur ^a   Madigan, David ^a   Sackrowitz, Harold B ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Censored data; Chi squared statistic; Concordance monotonicity; Directed tests; Pool adjacent violators algorithm; Stochastic order alternative; Treatment vs control; Wilcoxon Mann Whitney statistic

Indexed keywords

EID: 0013419107     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-842X.00284     Document Type: Article

References (20)

1. AGRESTI, A. & COULL, B.A. (2002). The analysis of contingency tables under inequality constraints. J. Statist. Plann. Inference 107, 45-73.
2. AGRESTI, A., MEHTA, C.R. & PATEL, N.R. (1990). Exact inference for contingency tables with ordered categories. J. Amer. Statist. Assoc. 85, 453-458.
3. BERGER, V. & SACKROWITZ, H.B. (1997). Improving tests of stochastic order. J. Amer. Statist. Assoc. 92, 700-705.
4. BHATTACHARYA, B. & DYKSTRA, R.L. (1994). Statistical inference for stochastic ordering. In Stochastic Orders and Their Applications, eds M. Shaked & J. George Shantikumar, pp. 221-249. New York: Academic Press.
5. COHEN, A. & SACKROWITZ, H.B. (1992). An evaluation of some tests of trend in contingency tables. J. Amer. Statist. Assoc. 87, 470-475.
6. COHEN, A. & SACKROWITZ, H.B. (1998). Directional tests for one-sided alternatives in multivariate models. Ann. Statist. 26, 2321-2338.
7. COHEN, A. & SACKROWITZ, H.B. (2000). Testing whether treatment is better than control with ordered categorical data: definitions and complete class theorems. Statist. Decisions 68, 1-25.
8. COHEN, A., SACKROWITZ, H.B. & SACKROWITZ, M. (2000). Testing whether treatment is better than control with ordered categorical data: an evaluation of new methodology. Statistics in Medicine 19, 2699-2712.
9. DYKSTRA, R., KOCHAR, S. & ROBERTSON, T. (1991). Statistical inference for uniform stochastic ordering in several populations. Ann. Statist. 19, 850-869.
10. EMERSON, J.D. & MOSES, L.E. (1985). A note on the Wilcoxon-Mann-Whitney test for 2 × k ordered tables. Biometrics 41, 303-309.
11. GRAUBARD, B.I. & KORN, E.I. (1987). Choice of column scores for testing independence in ordered 2 × K contingency tables. Biometrics 43, 471-476.
12. KLEIN, J.P. & MOESCHBERGER, M.L. (1997). Survival Analysis. New York: Springer.
13. LAWLESS, J.F. (1982). Statistical Models and Methods for Lifetime Data. New York: Wiley.
14. MARSHALL, A.W. & OLKIN, I. (1979). Inequalities: Theory of Majorizations and Its Applications. New York; Academic Press.
15. NGUYEN, T.T. & SAMPSON, A.R. (1987). Testing for positive quadrant dependence in ordinal contingency tables. Naval Res. Legist. 34, 859-877.
16. PATEFIELD, W.M. (1981). An efficient method of generating random R × C tables with given row and column totals. Appl. Statist. 30, 91-105.
17. PATEFIELD, W.M. (1982). Exact tests for trends for ordered contingency tables. Appl. Statist. 31, 32-43.
18. ROBERTSON, T., WRIGHT, F.T. & DYKSTRA, R.L. (1988). Ordered Restricted Inference. New York: Wiley.
19. SILVAPULLE, M. (1994). On tests against one-sided hypotheses in some generalized linear models. Biometrics 50, 853-858.
20. WANG, Y. (1996). A likelihood ratio test against stochastic ordering in several populations. J. Amer. Statist. Assoc. 91, 1676-1683.