Hochbergs step-up method: Cutting corners off holms step-down method

Biometrika

Volumn 94, Issue 4, 2007, Pages 965-975

  Huang, Yifan ^a   Hsu, Jason C ^b  

^a H LEE MOFFITT CANCER CENTER AND RESEARCH INSTITUTE   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

Hochbergs method; Holms method; Multiple testing; Partition testing; Step down test; Step up test

Indexed keywords

EID: 37549028048     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asm067     Document Type: Article

References (16)

1. FINNER, H. & ROTERS, M. (2001). On the false discovery rate and expected Type I errors. Biomet. J. 43, 985-1005.
2. FINNER, H. & STRASSBURGER, K. (2002). The partitioning principle: a powerful tool in multiple decision theory. Ann. Statist. 30, 1194-213.
3. GRAYBILL, F. A. (1983). Matrices with Applications in Statistics, 2nd ed. Belmont, CA: Wadsworth.
4. HAYTER, A. J. & HSU, J. C. (1994). On the relationship between stepwise decision procedures and confidence sets. J. Am. Statist. Assoc. 89, 128-36.
5. HOCHBERG, Y. (1988). A sharper Bonferroni procedure for multiple tests of significance. Biometrika 75, 800-2.
6. HOLM, S. (1979). A simple sequentially rejective multiple test procedure. Scand. J. Statist. 6, 65-70.
7. HOMMEL, G. (1988). A stagewise rejective multiple test procedure based, on a modified Bonferroni test. Biometrika 75, 383-6.
8. HSU, J. C. (1996). Multiple Comparisons: Theory and Methods. London: Chapman and Hall.
9. KARLIN, S. & RINOTT, Y. (1981). Total positivity properties of absolute value multinormal variables with applications to confidence interval estimation and related probabilistic inequalities. Ann. Statist. 9, 1035-49.
10. PATY, D. & LI, D. (1993). Interferon beta-1b is effective in relapsing-remitting multiple sclerosis. II. MRI analysis results of a multicenter, randomised, double-blind, placebo-controlled trial. Neurology 43, 662-6.
11. SARKAR, S. (1998). Some probability inequalities for ordered MTP2 random, variables: A proof of the Simes conjecture. Ann. Statist. 26, 494-504.
12. SIMES, R. J. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika 73, 751-4.
13. STEFANSSON, G., KIM, W & HSU, J. C. (1988). On confidence sets in multiple comparisons. In Statistical Decision Theory and Related Topics IV, volume 2, Ed. S. S. Gupta and J. O. Berger, pp. 89-104. New York: Springer Verlag.
14. THE IFNB MULTIPLE SCLEROSIS STUDY GROUP (1993). Interferon beta-1b is effective in relapsing-remitting multiple sclerosis. I. Clinical results of a multicenter, randomised, double-blind, placebo-controlled trial. Neurology 43, 655-61.
15. THE IFNB MULTIPLE SCLEROSIS STUDY GROUP, (1995). Interferon beta-1b in the treatment of multiple sclerosis: Final outcome of the randomised, controlled trial. Neurology 45, 1277-85.
16. VAN DER LAAN, M. J., DUDOIT, S. & POLLARD, K. S. (2004). Multiple testing, part ii. step-down procedures for control of the family-wise error rate. Statist. Applic. Genet. Molec. Biol. 3, http://www.bepress.com/sagmb/vol3/iss1/art14.