Some tests for detecting trends based on the modified Baumgartner- Weiß-Schindler statistics

Computational Statistics and Data Analysis

Volumn 57, Issue 1, 2013, Pages 246-261

  Shan, Guogen ^a   Ma, Changxing ^b   Hutson, Alan D ^b   Wilding, Gregory E ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b UNIVERSITY AT BUFFALO   (United States)

Author keywords

Baumgartner Wei Schindler test; E + M p value; Exact Tests; Test for trend; Unconditional test

Indexed keywords

EXACT TESTS; P-VALUES; SCHINDLER; TEST FOR TREND; UNCONDITIONAL TESTS;

STATISTICS;

STATISTICAL TESTS;

EID: 84865419512     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2012.04.021     Document Type: Article

References (29)

1. T.W. Anderson On the distribution of the two-sample Cramer-von Mises criterion The Annals of Mathematical Statistics 33 3 1962 1148 1159
2. T.W. Anderson, and D.A. Darling Asymptotic theory of certain "goodness of fit" criteria based on stochastic processes The Annals of Mathematical Statistics 23 2 1952 193 212
3. P. Armitage Tests for linear trends in proportions and frequencies Biometrics 11 3 1955 375 386
4. B.C. Arnold, N. Balakrishnan, and H.N. Nagaraja A First Course in Order Statistics Wiley Series in Probability and Statistics 1992 Wiley-Interscience
5. G.A. Barnard Significance tests for 2×2 tables Biometrika 34 1-2 1947
6. D. Basu On the elimination of nuisance parameters Journal of the American Statistical Association 72 358 1977 355 366
7. W. Baumgartner, P. Weiß, and H. Schindler A nonparametric test for the general two-sample problem Biometrics 54 3 1998 1129 1135
8. R.L. Berger, and D.D. Boos P values maximized over a confidence set for the nuisance parameter Journal of the American Statistical Association 89 427 1994 1012 1016
9. C.J. Clopper, and E.S. Pearson The use of confidence or fiducial limits illustrated in the case of the binomial Biometrika 26 4 1934 404 413
10. χ 2 tests Biometrics 10 4 1954 417 451
11. R.A. Fisher The Design of Experiments ninth ed. 1935 Macmillan Pub. Co.
12. B. Freidlin, and J.L. Gastwirth Unconditional versions of several tests commonly used in the analysis of contingency tables Biometrics 55 1 1999 264 267
13. J.D. Gibbons, and S. Chakraborti Nonparametric Statistical Inference third ed. Statistics: A Series of Textbooks and Monographs 1992 CRC Press
14. J.F. Hilton The appropriateness of the Wilcoxon test in ordinal data Statistics in Medicine 15 6 1996 631 645
15. A.R. Jonckheere A distribution-free k-sample test against ordered alternatives Biometrika 41 1-2 1954 133 145
16. S.H. Jung, and S.H. Kang Tests for 2 × K contingency tables with clustered ordered categorical data Statistics in Medicine 20 5 2001 785 794
17. C.J. Lloyd Exact p-values for discrete models obtained by estimation and maximization Australian and New Zealand Journal of Statistics 50 4 2008 329 345
18. L.A. Malley, J.R. Bamberger, J.C. Stadler, G.S. Elliott, J.F. Hansen, T. Chiu, J.S. Grabowski, and K.L. Pavkov Subchronic toxicity of cyclohexane in rats and mice by inhalation exposure Drug and Chemical Toxicology 23 4 2000 513 537
19. H.B. Mann, and D.R. Whitney On a test of whether one of two random variables is stochastically larger than the other The Annals of Mathematical Statistics 18 1 1947 50 60
20. H. Murakami A k-sample rank test based on modified Baumgartner statistic and its power comparison Journal of the Japanese Society of Computational Statistics 19 1 2006 1 13
21. M. Neuhäuser An exact two-sample test based on the Baumgartner-Weiß-Schindler statistic and a modification of Lepage's test Communications in Statistics - Theory and Methods 29 1 2000 67 78
22. M. Neuhäuser One-sided two-sample and trend tests based on a modified Baumgartner-Weiß-Schindler statistic Journal of Nonparametric Statistics 13 5 2001 729 739
23. M. Neuhäuser Exact tests based on the Baumgartner-Weiß- Schindler statistic - a survey Statistical Papers 46 1 2005 1 29
24. M. Neuhäuser An exact test for trend among binomial proportions based on a modified Baumgartner-Weiß-Schindler statistic Journal of Applied Statistics 33 1 2006 79 88
25. Shan, G.; Ma, C.; 2012. Unconditional tests for comparing two ordered multinomials. Statistical Methods in Medical Research (http://dx.doi.org/10. 1177/0962280212450957).
26. G. Shan, C. Ma, A.D. Hutson, and G.E. Wilding An efficient and exact approach for detecting trends with binary endpoints Statistics in Medicine 31 2012 155 164
27. T.J. Terpstra The asymptotic normality and consistency of Kendall's test against trend, when ties are present in one ranking Indagationes Mathematicae 14 1952 327 333
28. F. Wilcoxon Individual comparisons by ranking methods Biometric Bulletin 1 6 1945 80 83
29. G.E. Wilding, G. Shan, and A.D. Hutson Exact two-stage designs for phase II clinical trials with rank-based endpoints Contemporary Clinical Trials 33 2 2012 332 341