Consonance and the closure method in multiple testing

International Journal of Biostatistics

Volumn 7, Issue 1, 2011, Pages

  Romano, Joseph P ^a   Shaikh, Azeem ^b   Wolf, Michael ^c  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

^c UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

closure method; coherence; consonance; familywise error rate; multiple testing

Indexed keywords

ARTICLE; CONSONANT MULTIPLE TESTING; DISSONANT MULTIPLE TESTING; FAMILYWISE ERROR RATE; MEASUREMENT ERROR; NULL HYPOTHESIS; PROBABILITY; STATISTICAL ANALYSIS;

EID: 79951479640     PISSN: 15574679     EISSN: None     Source Type: Journal    
DOI: 10.2202/1557-4679.1300     Document Type: Article

References (13)

1. Bauer, P. (1991). Multiple testing in clinical trials. Statistics in Medicine, 10:871-890.
2. Bittman, R. M., Romano, J. P., Vallarino, C., and Wolf, M. (2009). Testing multiple hypotheses with common effect. Biometrika, 96(2):399-410.
3. Finner, H. and Strassburger, K. (2002). The partitioning principle: a power tool in multiple decision theory. Annals ofStatistics, 30:1194 1213.
4. Gabriel, K. R. (1969). Simultaneous test procedures\some theory ofmultiple comparisons. The Annals of Mathematical Statistics, 40(1):224-250.
5. Hochberg, Y. and Tamhane, A. (1987). Multiple Comparison Procedures. Wi-ley, New York.
6. Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scan-dinavian Journal of Statistics, 6:65-70.
7. Lehmann, E. L. and Romano, J. P. (2005). Testing Statistical Hypotheses. Springer, New York, third edition.
8. Marcus, R., Peritz, E., and Gabriel, K. R. (1976). On closed testing proce-dures with special reference to ordered analysis of variance. Biometrika, 63:655-660.
9. Simes, R. J. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika, 73:751-754.
10. Sonnemann, E. (1982). Allgemeine L̈osungen multipler Testprobleme. EDV in Medizin und Biologie, 13:120-128.
11. Sonnemann, E. (2008). General solutions to multiple testing problems. Bio-metrical Journal, 50(5):641-656.
12. (English translation of Sonnemann (1982) with minor corrections, prepared by H. Finner).
13. Sonnemann, E. and Finner, H. (1988). Vollsẗandigkeitss̈atze für multiple Test-probleme. In Bauer, P., Hommel, G., and Sonnemann, E., editors, Multiple Hypothesenpr̈ufung, pages 121-135. Springer, Berlin.