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Literature Appraisal Effectiveness of Therapy
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Measures of treatment effect Statistical significance Odds ratio Relative risk Absolute risk reduction Number needed to treat
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Measures of treatment effect Outcome (death) YesNo Controlab Experimentcd
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200 Total
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200 100 Total in each group
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200 100 25 Die 10 Total in each group After 1 year
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200 100 25(75) Die 10(90) (Survive) Total in each group + + After 1 year
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Risk & Relative Risk
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200 100 25(75) Die 10(90) (Survive)Risk? (a proportion) What is the Total in each group + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk Total in each group + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk Total in each group + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk Total in each group + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 25% + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 25% + + After 1 year
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 25% 0.1 10% + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 25% 0.1 10% + +
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200 100 25(75) Die 10(90) (Survive)Risk Risk ratio or Relative risk (RR) = + +0.25 25% 0.1 10%
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200 100 25(75) Die 10(90) (Survive)Risk Risk ratio or Relative risk (RR) = + +0.25 25% 0.1 10%
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200 100 25(75) Die 10(90) (Survive)Risk Risk ratio or Relative risk (RR) = 2.5 + +0.25 25% 0.1 10%
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Odds & Odds Ratio
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Odds The ratio between the amounts staked by parties in a bet, based on the expected probability either way. The balance of advantage or superiority.
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds? What about + +
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200 100 25(75) Die (90) (Survive)Risk 0.25 0.1 Odds 10+ +
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200 100 25(75) Die (90) (Survive)Risk 0.25 0.1 Odds 10 1to3 + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9 + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9+ +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9 Odds Ratio (O.R.) = + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9 Odds Ratio (O.R.) = + +
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9 Odds Ratio (O.R.) = + + 3
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200 100 25(75) Die 10(90) (Survive)Risk 0.25 0.1 Odds 1to3 1to9 3 Odds Ratio (O.R.) = + + Risk ratio or Relative risk (RR) = 2.5
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Measures of treatment effect influence clinicians decisions Clinicians: – more inclined to treat if the results are presented as relative risk – less inclined to treat if the results are presented as absolute risk reduction Forrow et al. Am J Med 1992;92:121
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Control group event rate (CER) = Deaths / Controls Experiment group event rate (EER) = Deaths / Treated Absolute risk reduction (difference) ARR=CER- EER Absolute Risk Reduction
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200 100 25 Die 10 Risk 0.25 25% 0.1 10% Absolute Risk Reduction (ARR) = CER EER
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200 100 25 Die 10 Risk 0.25 25% 0.1 10% Absolute Risk Reduction (ARR) = 0.15 15%
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Number Needed to Treat NNT
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Clinical value of measures of treatment effect Number Needed To Treat The odds ratio etc. not easy to understand, especially for patients. The number needed to treat (NNT) to prevent an adverse event is a more clinically relevant measure of the consequences of treatment Sackett DL. EBM 1996; 1: 164-6 Sinclair JC. J Clin Epidemiol 1994; 47: 881-9
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Number Need to Treat (NNT) Out of 100 patients treated 10 died compared to 25 in the placebo group and 15 extra survived. Therefore: To get 1 more patient to survive, 6.7 (100/15) have to be treated.
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100/15 1/ 0.15 NNT = 1/ ARR
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200 100 25 Die 10 Risk 0.25 25% 0.1 10% Absolute Risk Reduction (ARR) = 0.15 15% NNT= 1/ARR= 1/0.15= 6.7
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Q.E.D.
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MAGPIE Of the patients treated (5015) 40 fitted compared to 96 in the placebo group (5055) In % Mg 0.8% vs Placebo 1.9% Therefore: ARR 1.8 – 0.8 = 1.1% (11 per 1000) To get 1 more patient to survive, 91 (100/1.1) have to be treated. = NNT
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