Adjusting O'Brien's test to control type I error for the generalized nonparametric Behrens-Fisher problem

Biometrics

Volumn 61, Issue 2, 2005, Pages 532-539

  Huang, Peng ^a   Tilley, Barbara C ^a   Woolson, Robert F ^a   Lipsitz, Stuart ^a  

^a MEDICAL UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Bonferroni; Global statistical test; Multivariate test; Rank test; Rank sum type test

Indexed keywords

STATISTICAL TESTS;

BONFERRONI; GLOBAL STATISTICAL TEST; MULTIVARIATE TEST; NONPARAMETRICS; O'BRIEN; RANK SUMS; RANK TEST; RANK-SUM-TYPE TEST; TREATMENT GROUP; TYPE TESTS;

MULTIVARIANT ANALYSIS;

UBIDECARENONE;

MEDICINE; STATISTICAL ANALYSIS;

ANALYTICAL ERROR; ARTICLE; NERVE DEGENERATION; NEUROPROTECTION; NONPARAMETRIC TEST; OUTCOMES RESEARCH; PARKINSON DISEASE; PROBABILITY; RANK SUM TEST; RATING SCALE; SIMULATION; STATISTICAL ANALYSIS;

EID: 20744444365     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2005.00322.x     Document Type: Article

References (33)

1. Billingsley, P. (1968). Convergence of Probability Measures. New York: Wiley.
2. Brunner, E., Munzel, U., and Puri, M. L. (1999). Rank-score tests in factorial designs with repeated measures. Journal of Multivariate Analysis 70, 286-317.
3. Brunner, E., Munzel, U., and Puri, M. L. (2002). The multivariate nonparametric Behrens-Fisher problem. Journal of Statistical Planning and Inference 108, 37-53.
4. Domhof, S., Brunner, E., and Osgood, D. W. (2002). Rank procedures for repeated measures with missing values. Sociological Methods & Research, 30, 367-393.
5. Fligner, M. A. and Policello, G. E. II. (1981). Robust rank procedures for the Behrens-Fisher problem. Journal of the American Statistical Association 76, 162-168.
6. Fligner, M. A. and Rust, S. W. (1982). A modification of Mood's median test for the generalized Behrens-Fisher problem. Biometrika 69, 221-226.
7. Hájek, J. and Šídak, Z. (1967). Theory of Bank Tests. New York: Academic Press.
8. Hettmansperger, T. P. (1984). Statistical Inference Based on Ranks. New York: Wiley.
9. Kaufman, K. D., Olsen, E. A., Whiting, D., Savin, R., De Villez, R., and Bergfeld, W. (1998). Finasteride in the treatment of men with androgenetic alopecia. Journal of the American Academy of Dermatology 39, 578-589.
10. Lefkopoulou, M. and Ryan, L. (1993). Global tests for multiple binary outcomes. Biometrics 49, 975-988.
11. Lefkopoulou, M., Moore, D., and Ryan, L. (1989). The analysis of multiple correlated binary outcomes: Application to rodent teratology experiments. Journal of the American Statistical Association 84, 810-815.
12. Lehmann, E. L. (1975). Nonparametrics: Statistical Methods Based on Ranks. New York: Holden Day.
13. Li, D. K., Zhao, G. J., and Paty, D. W. (2001). Randomized controlled trial of interferon-beta-1a in secondary progressive MS: MRI results. Neurology 56, 1505-1513.
14. Miller, R. G. (1986). Beyond ANOVA, Basics of Applied Statistics. New York: Wiley.
15. Munzel, U. and Tamhane, A. C. (2002). Nonparametric multiple comparisons in repeated measures designs for data with ties. Biometrical Journal. Journal of Mathematical Methods in Biosciences. [Continues: Biometrische Zeitschrift. Zeitschrift für mathematische Methoden in den Biowissenschaften] 44, 762-779.
16. O'Brien, P. C. (1984). Procedures for comparing samples with multiple endpoints. Biometrics 40, 1079-1087.
17. Pocock, S. J., Geller, N. L., and Tsiatis, A. A. (1987). The analysis of multiple endpoints in clinical trials. Biometrics 43, 487-498.
18. Potthoff, R. F. (1963). Use of the Wilcoxon statistic for a generalized Behrens-Fisher problem. Annals of Mathematical. Statistics 34, 1596-1599.
19. Pratt, J. W. (1964). Robustness of some procedures for the two-sample location problem. Journal of the American Statistical Association 59, 665-680.
20. Puri, M. L. and Sen, P. K. (1969). A class of rank order tests for a general linear hypothesis. Annals of Mathematical Statistics 40, 1325-1343.
21. Puri, M. L. and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis. New York: Wiley.
22. Puri, M. L. and Sen, P. K. (1985). Nonparametric Methods in General Linear Models. New York, Chichester: Wiley.
23. Sankoh, A., Hugue, M., Russell, H., and D'Agostino, R. (1999). Global two-group multiple endpoint adjustment methods applied to clinical trials. Drug Information Journal 33, 119-140.
24. Schafer, J. L. (1995). Analysis of Incomplete Multivariate Data. London. New York: Chapman & Hall.
25. Shames, R. S., Heilbron, D. C., Janson, S. L., Kishiyama, J. L., Au, D. S., and Adelman, D. C. (1998). Clinical differences among women with and without self-reported perimenstrual asthma. Annals of Allergy Asthma Immunology 81, 65-72.
26. 10 in early Parkinson disease: Evidence of slowing of the functional decline. Archives of Neurology 59, 1541-1550.
27. Tang, D. and Geller, N. (1999). Closed testing procedures for group sequential clinical trials with multiple endpoints. Biometrics 55, 1188-1192.
28. Tang, D. and Lin, S. (1997). An approximate likelihood ratio test, for comparing several treatments to a control. Journal of the American Statistical Association 92, 1155-1162.
29. Tang, D., Gnecco, C., and Geller, N. (1989). An approximate likelihood ratio test for a normal mean vector with non-negative components with application to clinical trials. Biometrika 76, 577-583.
30. Tang, D., Geller, N., and Pocock, S. (1993). On the design and analysis of randomized clinical trials with multiple endpoints. Biometrics 49, 23-30.
31. Tilley, B. C., Pillemer, S. R., Heyse, S. P., et al. (2000). Global test for comparing multiple outcomes in rheumatoid arthritis trials. Arthritis and Rheumatism 42, 1879-1888.
32. Troendle, J. F. (2002). A likelihood ratio test for the nonparametric Behrens-Fisher problem. Biometrical Journal 44, 813-824.
33. Van der Varrt, H. R. (1961). On the robustness of Wilcoxon's two-sample test. In Quantitative Methods in Pharmacology, H. de Jonge (ed), 140-158. New York: Wiley Interscience.