Question

Difficulty: MediumMeasures of Association and Impact

During a grand rounds presentation, a cardiologist discusses the findings of the recent VANGUARD trial, which evaluated the addition of a novel aldosterone synthase inhibitor to standard therapy in patients with resistant hypertension. The primary goal of the study was to assess the reduction in major adverse cardiovascular events (MACE) over 4 years.

The trial included 5,000 participants evenly divided into an intervention arm and a standard-care arm. The following event data were recorded during the follow-up period:

Study ArmTotal ParticipantsMACE (Efficacy Endpoint)Severe Hyperkalemia (Adverse Event)
Aldosterone Synthase Inhibitor2,500175100
Standard Care2,50030050

A resident is asked to interpret the clinical impact of these findings for a patient considering the new therapy. Based on the provided data, what are the number needed to treat (NNT) to prevent one MACE and the number needed to harm (NNH) for severe hyperkalemia, respectively?

  1. A
    NNT = 5, NNH = 2
  2. B
    NNT = 14, NNH = 50
  3. C
    NNT = 20, NNH = 25
  4. NNT = 20, NNH = 50Answer
  5. E
    NNT = 25, NNH = 20

Answer

NNT = 20, NNH = 50
To determine the clinical impact of the new therapy, we must calculate the absolute risk reduction (ARR) for the benefit and the absolute risk increase (ARI) for the harm.

For efficacy (MACE):
- The baseline risk in the standard care group is 300/2,500=0.12300 / 2,500 = 0.12 (12%12\%).
- The risk in the intervention group is 175/2,500=0.07175 / 2,500 = 0.07 (7%7\%).
- The ARR is the difference between these risks: 0.12−0.07=0.050.12 - 0.07 = 0.05 (5%5\%).
- The NNT is the reciprocal of the ARR: 1/0.05=201 / 0.05 = 20. This means 2020 patients need to be treated with the aldosterone synthase inhibitor to prevent one additional MACE.

For harm (Severe Hyperkalemia):
- The risk in the intervention group is 100/2,500=0.04100 / 2,500 = 0.04 (4%4\%).
- The baseline risk in the standard care group is 50/2,500=0.0250 / 2,500 = 0.02 (2%2\%).
- The ARI is the difference: 0.04−0.02=0.020.04 - 0.02 = 0.02 (2%2\%).
- The NNH is the reciprocal of the ARI: 1/0.02=501 / 0.02 = 50. This means for every 5050 patients treated, one additional patient will develop severe hyperkalemia compared to standard care.

Step-by-Step Solution

1
Calculate the event rates for the efficacy endpoint (MACE) in both groups to find the Absolute Risk Reduction (ARR).
Control Event Rate (CER) = 300/2,500=0.12300 / 2,500 = 0.12 (12%12\%). Experimental Event Rate (EER) = 175/2,500=0.07175 / 2,500 = 0.07 (7%7\%). ARR = 0.12−0.07=0.050.12 - 0.07 = 0.05 (5%5\%).
ARR is the absolute difference in the risk of a negative outcome between the control and intervention groups.
2
Calculate the Number Needed to Treat (NNT).
NNT=1/ARR=1/0.05=20\text{NNT} = 1 / \text{ARR} = 1 / 0.05 = 20.
NNT represents the number of patients who must receive the intervention to prevent one additional adverse outcome.
3
Calculate the adverse event rates (severe hyperkalemia) in both groups to find the Absolute Risk Increase (ARI).
Experimental Harm Rate = 100/2,500=0.04100 / 2,500 = 0.04 (4%4\%). Control Harm Rate = 50/2,500=0.0250 / 2,500 = 0.02 (2%2\%). ARI = 0.04−0.02=0.020.04 - 0.02 = 0.02 (2%2\%).
ARI is the absolute difference in the risk of harm between the intervention and control groups.
4
Calculate the Number Needed to Harm (NNH).
NNH=1/ARI=1/0.02=50\text{NNH} = 1 / \text{ARI} = 1 / 0.02 = 50.
NNH represents the number of patients who must receive the intervention to cause one additional adverse event.

Key Concept

Calculation and interpretation of Absolute Risk Reduction (ARR), Absolute Risk Increase (ARI), Number Needed to Treat (NNT), and Number Needed to Harm (NNH).
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