Question

Difficulty: HardMeasures of Association and Impact

Investigators at a large academic medical center are analyzing data from a recent clinical trial investigating 'Medication Q', an experimental anticoagulant, for the prevention of recurrent deep vein thrombosis (DVT).

The trial included 2,0002,000 high-risk outpatients who were randomly and equally allocated to receive either Medication Q or a placebo. The results after 1212 months of follow-up are summarized below:

OutcomeMedication Q Group (n=1,000n=1,000)Placebo Group (n=1,000n=1,000)
Recurrent DVT3030130130
Major Bleeding Event50501010

Based on the trial data, which of the following statements regarding the statistical impact and clinical interpretation of Medication Q is most accurate?

  1. Treating 10 patients with Medication Q rather than placebo will prevent one recurrent deep vein thrombosis, whereas treating 25 patients will cause one additional major bleeding event.Answer
  2. B
    The negative predictive value of Medication Q for preventing deep vein thrombosis will remain constant even if the medication is utilized in clinical settings with a higher baseline prevalence of the disease.
  3. C
    The observed discrepancy in major bleeding events between the two groups implies that the medication's adverse effect profile is subject to confounding rather than effect modification.
  4. D
    A paired Student's t-test should be employed to calculate the statistical significance of the absolute risk reduction since the treatment and placebo arms represent matched continuous variables.
  5. E
    Given the substantial relative risk reduction of approximately 77%, Medication Q should be empirically prescribed to all patients with a history of deep vein thrombosis, regardless of absolute pharmacological contraindications.

Answer

Treating 10 patients with Medication Q rather than placebo will prevent one recurrent deep vein thrombosis, whereas treating 25 patients will cause one additional major bleeding event.
The correct interpretation involves extracting the absolute risk data for both efficacy and safety. The Absolute Risk Reduction (ARR) for DVT is the control risk (13%13\%) minus the treatment risk (3%3\%), which equals 10%10\% (0.100.10). The Number Needed to Treat (NNT) is 1/ARR1 / ARR, yielding 1010. This means 1010 patients must be treated to prevent one DVT. The Absolute Risk Increase (ARI) for major bleeding is the treatment risk (5%5\%) minus the control risk (1%1\%), equating to 4%4\% (0.040.04). The Number Needed to Harm (NNH) is 1/ARI1 / ARI, yielding 2525. Therefore, treating 2525 patients causes one excess major bleeding event.

Step-by-Step Solution

1
Calculate the Absolute Risk Reduction (ARR) for the primary efficacy outcome (Recurrent DVT).
Risk in Placebo = 130 / 1,000 = 0.13. Risk in Medication Q = 30 / 1,000 = 0.03. ARR = 0.13 - 0.03 = 0.10 (10%).
ARR is required to calculate the Number Needed to Treat (NNT).
2
Calculate the Number Needed to Treat (NNT).
NNT = 1 / ARR = 1 / 0.10 = 10.
NNT quantifies how many patients must receive the intervention to prevent one adverse efficacy outcome.
3
Calculate the Absolute Risk Increase (ARI) for the primary safety outcome (Major Bleeding).
Risk in Medication Q = 50 / 1,000 = 0.05. Risk in Placebo = 10 / 1,000 = 0.01. ARI = 0.05 - 0.01 = 0.04 (4%).
ARI is required to calculate the Number Needed to Harm (NNH).
4
Calculate the Number Needed to Harm (NNH).
NNH = 1 / ARI = 1 / 0.04 = 25.
NNH quantifies how many patients must receive the intervention to cause one additional adverse safety outcome.

Key Concept

The Number Needed to Treat (NNT) and Number Needed to Harm (NNH) are derived from the reciprocal of the absolute risk differences between treatment and control groups.
Estimated Time:1m 30s
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