Question

Difficulty: MediumMeasures of Disease Frequency and Association

A pharmaceutical company conducts a 3-year, randomized, double-blind, placebo-controlled trial to evaluate the efficacy of a novel medication in preventing the progression to end-stage renal disease (ESRD) in patients with type 2 diabetes and chronic kidney disease. A total of 3,000 patients are enrolled and randomly assigned in a 1:1 ratio to receive either the novel medication or a placebo. All patients complete the 3-year follow-up period. The study results are summarized in the following table:

GroupDeveloped ESRDDid Not Develop ESRDTotal
Novel medication12013801500
Placebo18013201500

Based on the information provided, how many patients must be treated with the novel medication for 3 years to prevent one additional case of end-stage renal disease compared to placebo?

Answer: 25 patients

Answer

25 patients
The Number Needed to Treat (NNT) is defined as the number of patients who need to receive a specific intervention instead of the alternative to prevent one additional adverse outcome. It is calculated as the inverse of the Absolute Risk Reduction (ARR). First, calculate the risk of the event in the control group: 180/1500=0.12180 / 1500 = 0.12. Next, calculate the risk in the treatment group: 120/1500=0.08120 / 1500 = 0.08. The ARR is the difference between these two risks: 0.12−0.08=0.040.12 - 0.08 = 0.04. Finally, the NNT is 1/ARR1 / \text{ARR}, which equals 1/0.04=251 / 0.04 = 25. Therefore, 25 patients need to be treated with the novel medication for 3 years to prevent one additional case of ESRD.

Step-by-Step Solution

1
Calculate the Control Event Rate (CER)
CER = 180 / 1500 = 0.12
To determine the baseline risk of developing ESRD without the active medication.
2
Calculate the Experimental Event Rate (EER)
EER = 120 / 1500 = 0.08
To determine the risk of developing ESRD while taking the novel medication.
3
Calculate the Absolute Risk Reduction (ARR)
ARR = 0.12 - 0.08 = 0.04
To find the absolute difference in risk between the placebo and treatment groups.
4
Calculate the Number Needed to Treat (NNT)
NNT = 1 / 0.04 = 25
The NNT is the inverse of the Absolute Risk Reduction, indicating how many patients must be treated to prevent one adverse event.

Key Concept

The Number Needed to Treat (NNT) is calculated as the inverse of the Absolute Risk Reduction (ARR).
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