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Absolute and relative risk: what do cancer treatment benefits mean?

How to understand relative risk reductions, absolute benefit and the starting risk when discussing cancer treatment.

Written and clinically reviewed by Dr AlHilali Consultant Clinical Oncologist

A treatment may be described as reducing the risk of cancer returning by 50%. That does not necessarily mean that 50 out of every 100 people will benefit. To understand the size of the change, you need to know the risk before treatment as well as the risk afterwards.

In this article

The same result, described in two ways

Imagine 100 people with a particular cancer. Without an additional treatment, 10 would be expected to have a recurrence within five years. With treatment, that falls to 5.

The absolute reduction is 5 percentage points: 5 fewer recurrences for every 100 people over those five years.

The relative reduction is 50%, because 5 is half of 10. Both descriptions are mathematically correct. They answer different questions.

These are invented numbers to explain the arithmetic, not results for a particular cancer or treatment.

A pencil, calculator and handwritten arithmetic in a squared notebook.
Putting numbers on paper can help when comparing absolute and relative changes. These are ordinary maths exercises, not cancer-treatment results. Full frame retained; resized and compressed. Photograph: Smorgasbord. Source · CC BY-SA 3.0

Why the starting risk matters

Now imagine the starting risk is 2 in 100 rather than 10 in 100. If a treatment halves that risk, it becomes 1 in 100. The relative reduction is still 50%, but the absolute reduction is now 1 percentage point.

That is why a striking percentage, without the starting risk, can give an incomplete impression. It also helps explain why the same treatment may have different expected benefits for people with different clinical circumstances.

Ask what is being measured

A figure might describe recurrence, death from cancer, overall survival, tumour shrinkage or the chance of a side effect. These outcomes are not interchangeable. The comparison also needs a time period: a five-year risk is not the same measure as a one-year risk.

Ask what treatment is being compared with. “Without this additional treatment” may still include surgery or other care; it does not necessarily mean no cancer treatment at all.

Numbers support a decision; they do not make it

Expected benefit needs to be considered alongside possible harms, treatment burden and what matters to you. Estimates come from groups of people and may not predict an individual's outcome precisely. Your team can explain how well the evidence fits your diagnosis and health.

Useful questions include:

  • Out of 100 people like me, how many would have this outcome with and without treatment?
  • Over what period, and how uncertain is that estimate?
  • What are the important side effects and alternatives?

This discussion is part of informed consent. Read more about what a prognosis can and cannot tell you.

General information only. These examples cannot estimate your own recurrence risk or recommend treatment.

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