Shortcuts for locally consonant closed test procedures

Journal of the American Statistical Association

Volumn 105, Issue 490, 2010, Pages 660-669

  Brannath, Werner ^a   Bretz, Frank ^b  

^a MEDICAL UNIVERSITY OF VIENNA   (Austria)

^b NOVARTIS PHARMA AG   (Switzerland)

Author keywords

Adaptive design; All pairwise comparisons; Closed testing principle; Multiple testing; Restricted hypotheses; Step down test

Indexed keywords

EID: 78649408861     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2010.tm08127     Document Type: Article

References (30)

1. Bauer, P., and Kieser, M. (1999), "Combining Different Phases in the Development of Medical Treatments Within a Single Trial," Statistics in Medicine, 18, 1833-1848. [661,666]
2. Bergmann, B., and Hommel, G. (1988), "Improvements of General Multiple Test Procedures for Redundant Systems of Hypotheses," in Multiple Hypothesenprüfung-Multiple Hypotheses Testing, eds. P. Bauer, G. Hommel, and E. Sonnemann, Berlin: Springer, pp. 100-115. [661,664,665,668, 669]
3. Brannath,W., Posch, M., and Bauer, P. (2002), "Recursive Combination Tests," Journal of the American Statistical Association, 97, 236-244. [666,667]
4. Bretz, F., König, F., Brannath,W., Glimm, E., and Posch, M. (2009), "Adaptive Designs for Confirmatory Clinical Trials," Statistics in Medicine, 28, 1181- 1217. [667]
5. Donoghue, J. R. (2004), "Implementing Shaffers Multiple Comparison Procedure for a Large Number of Groups," in Recent Developments in Multiple Comparison Procedures, eds. Y. Benjamini, F. Bretz, and S. Sarkar. Lecture Notes-Monograph, Vol. 47, Beachwood, OH: Institute of Mathematical Statistics. [666,669]
6. Dunnett, D.W. (1955), "AMultiple Comparison Procedure for Comparing Several Treatments With a Control," Journal of the American Statistical Association, 50, 1096-1121. [667]
7. Gabriel, K. R. (1969), "Simultaneous Test Procedures-Some Theory of Multiple Comparisons," The Annals of Mathematical Statistics, 40, 224-520. [661,668]
8. Goeman, J. J., and Mansmann, U. (2008), "Multiple Testing on the Directed Acyclic Graph of Gene Ontology," Bioinformatics, 4, 537-544. [661]
9. Hochberg, Y., and Tamhane, A. T. (1987), Multiple Comparison Procedures, New York: Wiley. [660,663,669]
10. Holm, S. (1979), "A Simple Sequentially Rejective Multiple Test Procedure," Scandinavian Journal of Statistics, 6, 65-70. [660,663]
11. Hommel, G. (1986), "Multiple Test Procedures for Arbitrary Dependence Structures," Metrika, 33, 321-336. [661]
12. -(2001), "Adaptive Modifications of Hypotheses After an Interim Analysis," Biometrical Journal, 43, 581-589. [661,666]
13. Hommel, G., and Bernhard, G. (1992), "Multiple Hypotheses Testing," in Computational Aspects of Model Choice, ed. J. Antoch, Heidelberg: Physica, pp. 211-235. [665]
14. -(1994a), "A Multiple Test Procedure for Nested Systems of Hypotheses," in Computational Statistics, eds. P. Dirschedl and R. Ostermann, Heidelberg: Physica, pp. 419-433. [665,668]
15. -(1994b), "A Rapid Algorithm and a Computer Program for Multiple Test Procedures Using Logical Structures of Hypotheses," Computer Methods and Programs in Biomedicine, 43, 213-216. [665,668]
16. -(1999), "Bonferroni Procedures for Logically Related Hypotheses," Journal of Statistical Planning and Inference, 82, 119-128. [665,669]
17. Hommel, G., Bretz, F., and Maurer,W. (2007), "Powerful Short-Cuts forMultiple Testing Procedures With Special Reference to Gatekeeping Strategies," Statistics in Medicine, 26, 4063-4073. [660,662-664,667]
18. Lehmacher, W., Wassmer, G., and Reitmeir, P. (1991), "Procedures for Two- Sample Comparisons With Multiple Endpoints Controlling the Experimentwise Error Rate," Biometrics, 47, 511-521. [661]
19. Marcus, R., Peritz, E., and Gabriel, K. R. (1976), "On Closed Testing Procedures With Special Reference to Ordered Analysis of Variance," Biometrika, 63, 655-660. [660]
20. Romano, J. P., and Wolf, M. (2005), "Exact and Approximate Stepdown Methods for Multiple Hypothesis Testing," Journal of the American Statistical Association, 100, 94-108. [660,663]
21. Royen, T. (1989), "Generalized Maximum Range Tests for Pairwise Comparisons of Several Populations," Biometrical Journal, 31, 905-929. [669]
22. Shaffer, J. P. (1986), "Modified Sequentially Rejective Multiple Test Procedures," Journal of the American Statistical Association, 81, 826-831. [669]
23. Snedecor, G. W., and Cochran, W. G. (1989), Statistical Methods, Ames, IA: Iowa State University Press. [665]
24. Sonnemann, E. (1982), "Allgemeine Lösungen Multipler Testprobleme," EDV in Medizin und Biologie, 13 (4), 120-128. [662]
25. -(2008), "General Solutions to Multiple Testing Problems," Biometrical Journal, 50 (5), 641-656.
26. [Translation with minor corrections of the original article: Sonnemann, E. (1982), "Allgemeine Lösungen multipler Testprobleme," EDVin Medizin und Biologie, 13 (4), 120-128. Translated by H. Finner.] [662]
27. Westfall, P., and Young, S. S. (1993), Resampling-Based Multiple Testing, New York: Wiley. [660,662,665-667]
28. Westfall, P. H. (1997), "Multiple Testing of General Contrasts Using Logical Constraints and Correlations," Journal of the American Statistical Association, 92, 299-306. [669]
29. Westfall, P. H., and Tobias, R. D. (2007), "Multiple Testing of General Contrasts: Truncated Closure and the Extended Shaffer-Royen Method," Journal of the American Statistical Association, 102, 487-494. [664,669]
30. Zeymer, U., Suryapranata, H., Monassier, J. P., Opolski, G., Davies, J., Rasmanis, G., Linssen, G., Tebbe, U., Schroder, R., Tiemann, R., Machnig, T., and Neuhaus, K. L. (2001), "The Na+/H+ Exchange Inhibitor Eniporide as an Adjunct to Early Reperfusion Therapy for AcuteMyocardial Infarction," Journal of the American College of Cardiology, 38, 1644-1651. [667,668]