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Biometrika 1988 75(4):800-802; doi:10.1093/biomet/75.4.800
© 1988 by Biometrika Trust
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MISCELLANEA

A sharper Bonferroni procedure for multiple tests of significance

YOSEF HOCHBERG

Department of Statistics, School of Mathematical Sciences, Tel Aviv University Ramat-Aviv, 69978, Israel

A simple procedure for multiple tests of significance based on individual p-values is derived. This simple procedure is sharper than Holm's (1979) sequentially rejective procedure. Both procedures contrast the ordered p- values with the same set of critical values. Holm's procedure rejects an hypothesis only if its p-value and each of the smaller p-values are less than their corresponding critical-values. The new procedure rejects all hypotheses with smaller or equal p-values to that of any one found less than its critical value.

Key Words: Familywise error rate • Hypotheses-free association • p-values • Strong and weak control


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Applied Psychological MeasurementHome page
A. M. Hol, H. C. M. Vorst, and G. J. Mellenbergh
Computerized Adaptive Testing for Polytomous Motivation Items: Administration Mode Effects and a Comparison With Short Forms
Applied Psychological Measurement, September 1, 2007; 31(5): 412 - 429.
[Abstract] [PDF]


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J Pediatr PsycholHome page
M. J. Dolgin, S. Phipps, D. L. Fairclough, O. J. Z. Sahler, M. Askins, R. B. Noll, R. W. Butler, J. W. Varni, and E. R. Katz
Trajectories of Adjustment in Mothers of Children with Newly Diagnosed Cancer: A Natural History Investigation
J. Pediatr. Psychol., August 1, 2007; 32(7): 771 - 782.
[Abstract] [Full Text] [PDF]


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ANN INTERN MEDHome page
K. D. Shetty and J. Bhattacharya
Changes in Hospital Mortality Associated with Residency Work-Hour Regulations
Ann Intern Med, July 17, 2007; 147(2): 73 - 80.
[Abstract] [Full Text] [PDF]


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IOVSHome page
The Vision in Preschoolers Study Group
Does Assessing Eye Alignment along with Refractive Error or Visual Acuity Increase Sensitivity for Detection of Strabismus in Preschool Vision Screening?
Invest. Ophthalmol. Vis. Sci., July 1, 2007; 48(7): 3115 - 3125.
[Abstract] [Full Text] [PDF]


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J Clin PharmacolHome page
K. C. Lasseter, J. Gambale, B. Jin, A. Bergman, M. Constanzer, J. Dru, T. H. Han, A. Majumdar, J. K. Evans, and M. G. Murphy
Tolerability of Fosaprepitant and Bioequivalency to Aprepitant in Healthy Subjects
J. Clin. Pharmacol., July 1, 2007; 47(7): 834 - 840.
[Abstract] [Full Text] [PDF]


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J Clin PharmacolHome page
B. P. Schachtel, S. Pan, J. D. Kohles, K. M. Sanner, E. P. Schachtel, and M. Bey
Utility and Sensitivity of the Sore Throat Pain Model: Results of a Randomized Controlled Trial on the COX-2 Selective Inhibitor Valdecoxib
J. Clin. Pharmacol., July 1, 2007; 47(7): 860 - 870.
[Abstract] [Full Text] [PDF]


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HypertensionHome page
M. A. Cavasin, T.-D. Liao, X.-P. Yang, J. J. Yang, and O. A. Carretero
Decreased Endogenous Levels of Ac-SDKP Promote Organ Fibrosis
Hypertension, July 1, 2007; 50(1): 130 - 136.
[Abstract] [Full Text] [PDF]


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Arch Gen PsychiatryHome page
R. S. E. Keefe, R. M. Bilder, S. M. Davis, P. D. Harvey, B. W. Palmer, J. M. Gold, H. Y. Meltzer, M. F. Green, G. Capuano, T. S. Stroup, et al.
Neurocognitive Effects of Antipsychotic Medications in Patients With Chronic Schizophrenia in the CATIE Trial
Arch Gen Psychiatry, June 1, 2007; 64(6): 633 - 647.
[Abstract] [Full Text] [PDF]


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J HeredHome page
C. Luis, E. G. Cothran, and M. d. M. Oom
Inbreeding and Genetic Structure in the Endangered Sorraia Horse Breed: Implications for its Conservation and Management
J. Hered., May 1, 2007; 98(3): 232 - 237.
[Abstract] [Full Text] [PDF]


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Mol Biol EvolHome page
M. Anisimova and Z. Yang
Multiple Hypothesis Testing to Detect Lineages under Positive Selection that Affects Only a Few Sites
Mol. Biol. Evol., May 1, 2007; 24(5): 1219 - 1228.
[Abstract] [Full Text] [PDF]


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CirculationHome page
E. Goodman, S. R. Daniels, J. B. Meigs, and L. M. Dolan
Instability in the Diagnosis of Metabolic Syndrome in Adolescents
Circulation, May 1, 2007; 115(17): 2316 - 2322.
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JAMAHome page
J. L. Brandes, D. Kudrow, S. R. Stark, C. P. O'Carroll, J. U. Adelman, F. J. O'Donnell, W. J. Alexander, S. E. Spruill, P. S. Barrett, and S. E. Lener
Sumatriptan-Naproxen for Acute Treatment of Migraine: A Randomized Trial
JAMA, April 4, 2007; 297(13): 1443 - 1454.
[Abstract] [Full Text] [PDF]


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JDRHome page
S.S. Huja, S.A. Fernandez, K.J. Hill, and P. Gulati
Indentation Modulus of the Alveolar Process in Dogs
Journal of Dental Research, March 1, 2007; 86(3): 237 - 241.
[Abstract] [Full Text] [PDF]


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JCOHome page
C. L. Loprinzi, J. W. Kugler, D. L. Barton, A. C. Dueck, L. K. Tschetter, R. A. Nelimark, E. P. Balcueva, K. N. Burger, P. J. Novotny, M. D. Carlson, et al.
Phase III Trial of Gabapentin Alone or in Conjunction With an Antidepressant in the Management of Hot Flashes in Women Who Have Inadequate Control With an Antidepressant Alone: NCCTG N03C5
J. Clin. Oncol., January 20, 2007; 25(3): 308 - 312.
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Proc R Soc BHome page
M.G Gardner, K Schonrogge, G.W Elmes, and J.A Thomas
Increased genetic diversity as a defence against parasites is undermined by social parasites: Microdon mutabilis hoverflies infesting Formica lemani ant colonies
Proc R Soc B, January 7, 2007; 274(1606): 103 - 110.
[Abstract] [Full Text] [PDF]


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J. Clin. Endocrinol. Metab.Home page
A. B. Lehtinen, K. P. Burdon, J. P. Lewis, C. D. Langefeld, J. T. Ziegler, S. S. Rich, T. C. Register, J. J. Carr, B. I. Freedman, and D. W. Bowden
Association of {alpha}2-Heremans-Schmid Glycoprotein Polymorphisms with Subclinical Atherosclerosis
J. Clin. Endocrinol. Metab., January 1, 2007; 92(1): 345 - 352.
[Abstract] [Full Text] [PDF]


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Am. J. PsychiatryHome page
R. A. Rosenheck, D. L. Leslie, J. Sindelar, E. A. Miller, H. Lin, T. S. Stroup, J. McEvoy, S. M. Davis, R. S.E. Keefe, M. Swartz, et al.
Cost-Effectiveness of Second-Generation Antipsychotics and Perphenazine in a Randomized Trial of Treatment for Chronic Schizophrenia
Am J Psychiatry, December 1, 2006; 163(12): 2080 - 2089.
[Abstract] [Full Text] [PDF]


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Am. J. PsychiatryHome page
S. M. Essock, N. H. Covell, S. M. Davis, T. S. Stroup, R. A. Rosenheck, and J. A. Lieberman
Effectiveness of Switching Antipsychotic Medications
Am J Psychiatry, December 1, 2006; 163(12): 2090 - 2095.
[Abstract] [Full Text] [PDF]


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Mayo Clin Proc.Home page
R. B. Goldberg, J. R. Guyton, T. Mazzone, R. S. Weinstock, A. Polis, P. Edwards, J. E. Tomassini, and A. M. Tershakovec
Ezetimibe/Simvastatin vs Atorvastatin in Patients With Type 2 Diabetes Mellitus and Hypercholesterolemia: The VYTAL Study
Mayo Clin. Proc., December 1, 2006; 81(12): 1579 - 1588.
[Abstract] [Full Text] [PDF]


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NEJMHome page
L. S. Schneider, P. N. Tariot, K. S. Dagerman, S. M. Davis, J. K. Hsiao, M. S. Ismail, B. D. Lebowitz, C. G. Lyketsos, J. M. Ryan, T. S. Stroup, et al.
Effectiveness of Atypical Antipsychotic Drugs in Patients with Alzheimer's Disease.
N. Engl. J. Med., October 12, 2006; 355(15): 1525 - 1538.
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NEJMHome page
P. J. Rosenfeld, D. M. Brown, J. S. Heier, D. S. Boyer, P. K. Kaiser, C. Y. Chung, R. Y. Kim, and the MARINA Study Group
Ranibizumab for Neovascular Age-Related Macular Degeneration
N. Engl. J. Med., October 5, 2006; 355(14): 1419 - 1431.
[Abstract] [Full Text] [PDF]



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