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Absolute, attributable, and relative risk in the management of coronary heart disease
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1. JAMES E C SEDGWICK
1. Department of Public Health Sciences
2. Guy's, King's & St Thomas' School of Medicine
3. London SE1 3QD, UK
4. james.sedgwick{at}kcl.ac.uk

## Absolute risk

Treatment decisions in the prevention and management of coronary heart disease (CHD) often require knowledge about the level of risk. Risk is defined as the probability of encountering a particular event. Information about risk is obtained from cohort studies or other longitudinal studies such as randomised controlled trials. In these studies, risk is simply the incidence of the event in a particular group. For example, the risk (or probability) of death associated with coronary angiography is 0.1% (or 1 in 1000).1 This is termed the absolute risk.

In order to inform clinical decisions, it is often useful to compare the absolute risk in two or more groups having different exposures or different treatments (including treatment versus no treatment). The two main measures we use when comparing risk are attributable risk (risk difference) and relative risk (risk ratio).

## Attributable risk

Attributable risk measures the excess risk accounted for by exposure to a particular factor.2 This is simply the difference between the absolute risks in the two groups. The term attributable risk is most commonly used in epidemiological studies. In the clinical environment, when comparing a particular treatment with placebo for example, the excess risk associated with treatment (attributable risk) may well be negative, if the treatment is beneficial. This is therefore termed an absolute risk reduction. Absolute risk reduction is increasingly used when reporting clinical trials. The absolute risk reduction enables calculation of the “number needed to treat” (NNT). The NNT is simply the inverse of the absolute risk reduction.3 The NNT represents the number of patients that need to be treated to prevent one adverse event.

## Relative risk

Relative risk is the ratio of two absolute risks. It measures the strength of effect of an exposure (or treatment) on risk.2A beneficial treatment will result in a relative risk of less than 1; this can then be subtracted from 1 to give the relative risk reduction. A harmful treatment, or other exposure, will give a relative risk of more than 1.

In the British doctors study, over 40 years of follow up, the annual mortality rate from CHD was 572 per 100 000 in non-smokers, and 892 per 100 000 in smokers.4 For lung cancer the figures were 14 and 209, respectively. So the attributable risk of CHD related to smoking was 320 (892−572) per 100 000 compared with 195 (209−14) per 100 000 for lung cancer. These figures are the excess numbers of deaths (per 100 000) in smokers which were accounted for by their smoking. For an individual, smoking was much more likely to result in death from CHD than from lung cancer. The equivalent relative risks were 1.6 (892/572) for CHD and 14.9 (209/14) for lung cancer. So, smoking has a much stronger association with lung cancer than CHD (indicated by the larger relative risk). By contrast, smoking is associated with a larger attributable risk for CHD than for lung cancer. This is because CHD is a much more common condition than lung cancer among non-smokers—that is, the absolute risk is higher. So, a comparatively small increase in risk of CHD, associated with smoking (relative risk 1.6), results in a large number of deaths.

## Relative risk reduction in primary prevention

If a condition is common the importance of reducing risk is much greater than if it is rare. In clinical practice, the relative risk reduction associated with treatment of blood pressure or serum cholesterol is constant at different levels of absolute risk.5 So, the absolute risk reduction associated with antihypertensive or cholesterol lowering treatment is proportional to the initial absolute risk. This is why guidelines for the primary prevention of CHD require quantitative prediction of absolute risk based on a patient's risk factor profile.

The Joint British Societies5 recommend that “as a minimum all individuals with an absolute CHD risk of 30% or more over 10 years should be targeted now for comprehensive risk factor management, which will include, as appropriate, blood pressure and lipid lowering therapy” followed by “a progressive expansion of coronary prevention from 30% down to 15% absolute CHD risk”. If we assume that the relative risk reduction associated with statin treatment is 33%, in patients with an initial risk of 30% the absolute risk will be reduced (by one third) from 30% to 20% (that is, 10%). In those with an initial risk of 15% it will be reduced (by one third again) from 15% to 10% (that is, only 5%). These absolute risk reductions give NNTs of 10 and 20, respectively. So half as many patients with an initial risk of 30% (compared with 15%) need to be treated to prevent one adverse event.

Other guidelines based on the same Framingham equations6 exist.7-10 However, in the recently published comparison study, in primary care, the joint British guidelines appeared to perform at least as well as others.11 Guidelines differ in their advice on the level of risk at which treatment should be initiated. In the UK the recommended threshold is partly an issue of cost to the National Health Service (NHS). The National service framework for coronary heart disease 12 recommends targeting risk reduction at those with a 10 year CHD risk greater than 30%. This will mean 3% of men aged 30–74 years are targeted.5 If 15% were chosen as the threshold 28% would be eligible. So, while (initially) focusing on patients at highest risk sensibly targets resources at those who are most likely to benefit, the policy will deny a large proportion of the population effective treatment.

## Secondary prevention

Of course, those patients with the greatest risk of a future CHD event are those with CHD already. Secondary prevention is therefore the area with the greatest potential for patient benefit. Absolute risk quantification is probably unnecessary in these patients, as all should be subject to attempts at risk reduction through: lifestyle changes (smoking, diet, and physical activity); the control of blood pressure, lipids, and glucose; and drug treatment (for example, aspirin). The purpose is to reduce the risk of a major cardiovascular event and reduce mortality. In these patients, it is important to realise and communicate the likely benefits of behavioural change in preventing further CHD events, such as the 50% relative risk reduction associated with stopping smoking,5 and the importance of long term compliance with antihypertensive and cholesterol lowering treatment, and aspirin, each of which are probably associated with relative risk reductions in CHD events of 10–30%.5 ,13

In order to initiate risk reduction strategies in CHD, a clear understanding of the meanings and appropriate uses of absolute, attributable, and relative risk is required.

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