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Bonferroni: Friend or Foe? Multiple Testing in Cardiovascular Medicine Dhruv S. Kazi, MD, MSc AHA Cardiovascular Outcomes Research Fellow Stanford University kazi@stanford.edu
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“Off hand, I’d say you’re suffering from an arrow through your head, but just to play it safe, let’s get an echo.”
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Death from Cardiovascular Causes, Nonfatal Myocardial Infarction, or Stroke = 9 billion dollars Yusuf, S, et al. N Engl J Med 2001;345:494-502 CURE
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Liver Clopidogrel Cytochrome P450-dependent oxidation Binds to P2Y12 Receptor on Platelets Ticagrelor Binds to P2Y12 Receptor on Platelets CYP2C19
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Potential Strategies Clopidogrel Ticagrelor Which one would you want?
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Cannon, CP, et al. Lancet 2010; 375: 283-93. Primary Efficacy Endpoint in the PLATO-Invasive RCT
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Cannon, CP, et al. Lancet 2010; 375: 283-93.
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Methods Cohort: 100,000 patients who present with ACS and undergo PCI, age at entry – 65 years Analytic Horizon: Lifetime Perspective: “Ideal Insurer” Interventions – DAPT 12 months from last ACS or PCI, whichever is later – Aspirin monotherapy for life thereafter
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Possible Explanations?
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True Difference Chance Finding Fraud?
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The Multiple-Look Problem Number of analyses Cumulative prob of a positive association
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So how do you get around this? Traditionally, “don’t run multiple subgroups” unless: -The analyses are pre-specified -The analyses are biologically plausible And if you must, conduct rigorous statistical adjustment!
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Bonferroni Adjustment Conservative Assumes independence 1-(1- α ) 1/n ~ α/n But does this make sense? BMJ. 1998 April 18; 316(7139): 1236–1238.
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How Do We Proceed? (Do you still want the drug?) Multiple testing is problematic (even if pre-specified) The challenges of a priori hypotheses
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Conclusions Multiple testing is a complicated question: with real clinical consequences Statistical adjustment is a necessary but imperfect solution Trial and Error. Kaul S, et al. J Am Coll Cardiol 2010;55:415–27
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Conclusion The p value is no substitute for a brain.
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Thank You! kazi@stanford.edu
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