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How do I convert the SURPASS-2 hazard ratio into an absolute risk reduction?

Asked 10 Apr 2026Modified 3 months agoViewed 3.4k times
11

I am reading the trial table rather than the press release, which is why the numbers differ.

I can do the algebra. I am not confident about the conversion factors.

If there is a standard way to lay this out, I would rather learn that than invent one.

Can someone walk through the arithmetic step by step?

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askedunit_math6.2k1510 Apr 2026

2 Answers

Accepted answer first, then by votes
43

Accepted answer

A hazard ratio from SURPASS-2 cannot be converted into an absolute risk reduction without the control-arm event rate, and that rate is the number people forget to carry across. The arithmetic: absolute reduction equals the control event rate minus the treated event rate, and the treated rate is approximately the control rate multiplied by the ratio. A hazard ratio of 0.80 against a 10 per cent control rate is a 2-point absolute reduction and a number needed to treat of 50; the same 0.80 against a 2 per cent control rate is 0.4 points and a number needed to treat of 250. Identical ratio, six-fold difference in what it is worth. Take the control-arm rate and the follow-up duration from the SURPASS-2 paper, not from the abstract, and do the subtraction yourself.

It helps to be literal here: blood pressure falls by a few millimetres of mercury in this class, which is small individually and not small across a population.

SELECT randomised people with established cardiovascular disease and overweight or obesity but without diabetes to semaglutide 2.4 mg, and reported roughly a twenty per cent relative reduction in the primary composite. The absolute difference over about three years was on the order of one and a half percentage points.

Relative to absolute, worked

QuantityValueDerivation
Control-arm event rate8.0 %From the trial table, not the abstract
Hazard ratio0.80Reported
Treated event rate6.4 %8.0 × 0.80
Absolute risk reduction1.6 pp8.0 − 6.4
Number needed to treat631 ÷ 0.016
Relative risk reduction20 %1 − 0.80

The last two rows describe the same finding. Only one of them is used in headlines.

More usefully, systolic blood pressure falls by about three to six millimetres of mercury at the doses studied, most of it early and much of it attributable to weight loss rather than to a direct vascular effect.

Heart-rate elevation in this class is documented consistently enough across agents that it should be treated as a class effect rather than as a finding about any one molecule.

Ask for the absolute risk reduction and the number needed to treat. If a source will not give you both, it is selling something.

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answered · acceptedDr_Ilse_Vandenberg113k24814 May 2026
6Which population was that figure from? It moves a lot between the trials. – esther_vandeVelde 3 months ago
7Same experience here, different supplier. – ines_brandt 5 months ago
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35

Answering this properly needs the absolute risk reduction rather than the relative one, because the relative figure is stable across risk strata and the absolute figure is not.

Resting heart rate rises by roughly two to four beats per minute across the class. The mechanism is not fully settled, the magnitude is consistent, and it has not translated into an adverse outcome signal in the trials that looked.

Worth being precise here: cardiovascular composites in this programme are typically cardiovascular death, non-fatal myocardial infarction and non-fatal stroke. When one component drives the result, that is worth knowing, because the components differ in how much they matter.

The cardiovascular safety requirement for new glycaemic agents is why these trials exist at all: regulators required an outcome programme, and the benefit finding was in that sense an unexpected dividend.

Population, baseline risk, endpoint definition. In that order, then the effect size.

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answeredines_brandt113k25710 May 2026
4I would gently push back — that was a secondary endpoint, not the primary one. – lipid_panel_q 8 months ago
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Ask PeptideStack is a static archive. Posting is closed, but the norms are worth stating: answer the question that was asked, show your working, cite the trial or the certificate, and say plainly where the evidence runs out.

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