Causal inference · Module 1: Where the idea came from

Smoking and the sceptic

How was smoking shown to cause lung cancer without a trial?

1.6 · 3 min 39 s · published

Nobody randomised smoking. Doll and Hill found heavier smokers died of lung cancer at many times the rate of non-smokers, with risk rising with dose. When Fisher argued an inherited trait might cause both, Cornfield showed in 1959 that such a trait would need to be at least nine times as common in smokers. No plausible trait came close.

Key points

  • Doll and Hill’s study of British doctors, begun in 1951, found the risk climbed with every step up in smoking: a dose–response pattern.
  • Fisher was right that an unmeasured common cause could, in principle, produce the pattern.
  • Cornfield asked how strong a hidden cause would have to be: the first sensitivity analysis.
  • Bradford Hill’s nine viewpoints of 1965 are aids to judgement, not a checklist.

Chapters

  1. 0:00 Recap: a push from outside
  2. 0:17 Doll and Hill
  3. 1:05 Fisher objects
  4. 1:41 Cornfield’s question
  5. 2:20 Weighing the evidence

Key terms

Dose–response
A pattern in which more of a cause brings more of the effect. Among British doctors, the risk of dying of lung cancer climbed with every step up in how much they smoked. It is one of Bradford Hill’s viewpoints for weighing whether an association is causal.
Sensitivity analysis
Asking how strong an unmeasured confounder would have to be to overturn a result, and comparing that with confounders you did measure. Jerome Cornfield’s 1959 answer to Fisher about smoking was the first. If the hidden factor would need to be far stronger than soil type, you can be fairly confident.
Unmeasured confounder
A common cause of treatment and outcome that was never recorded, such as a grower’s skill or a stockperson’s eye. On a causal map it is drawn as a dashed box. Its back door can’t be closed by adjustment, so you randomise, use a design that sidesteps it, or test how strong it would need to be.
Bradford Hill viewpoints
Nine things Austin Bradford Hill listed in 1965 to weigh when deciding whether an association is causal, including its strength, its consistency, whether the cause comes first, and whether more dose brings more effect. He insisted they were aids to judgement, not a checklist.

Transcript

Last time's quick check: each point is where supply met demand that year, and both curves were moving, so the points trace neither. After the Second World War, lung cancer deaths in Britain were rising fast. In 1950, Richard Doll and Austin Bradford Hill compared patients with lung cancer in London hospitals with similar patients who had other illnesses. Almost all the lung cancer patients smoked, and heavy smoking was far more common among them.

Then they did something bolder. In 1951 they wrote to the doctors of Britain and asked about their smoking. Over the following years they tracked who died, and of what. Heavier smokers died of lung cancer at many times the rate of non-smokers, and the risk climbed with every step up in how much they smoked. That's a dose–response pattern.

The fiercest critic was Ronald Fisher, the father of the randomised experiment. Nobody had randomised smoking, he pointed out. What if some inherited constitution made people both more likely to smoke and more likely to get cancer? Then smoking might not cause cancer at all. As a point of logic, Fisher was right: an unmeasured common cause could, in principle, produce the pattern.

He was also a smoker himself, and a consultant to the tobacco industry. But the question deserved a better answer than "trust us", and it got one. In 1959, Jerome Cornfield and colleagues turned Fisher's objection into arithmetic. Smokers had roughly nine times the lung cancer risk of non-smokers.

For a hidden factor to explain all of that, it would have to be at least nine times as common among smokers as among non-smokers. No plausible inherited trait came close. It was the first sensitivity analysis. Not "is there a hidden cause?" (there always might be), but "how strong would it have to be to change our conclusion?"

In 1965 Bradford Hill listed nine things to weigh when deciding whether an association is causal: how strong it is, whether it's consistent, whether the cause comes first, whether more dose brings more effect, and others. He insisted they were aids to judgement, not a checklist.

The same arguments run through food and farming today. Most questions about diet and health, or soil and nutrients, can't be randomised for decades. So we do what Cornfield did: measure carefully, and ask how strong a hidden cause would need to be. That's where the ideas came from. Next, in Module 2: drawing causal maps, and the roles every variable can play.

Questions

What are the Bradford Hill viewpoints?

In 1965 Austin Bradford Hill listed nine things to weigh when deciding whether an association is causal, including how strong it is, whether it is consistent, whether the cause comes first, and whether more dose brings more effect. He insisted they were aids to judgement, not a checklist.

How did Cornfield answer Fisher?

In 1959 Jerome Cornfield and colleagues turned Fisher’s objection into arithmetic. Smokers had roughly nine times the lung cancer risk of non-smokers, so a hidden factor explaining all of it would have to be at least nine times as common among smokers as among non-smokers. No plausible inherited trait came close.

Sources

  1. Doll, R. and Hill, A.B. (1950). Smoking and carcinoma of the lung. British Medical Journal, 2(4682), 739–748. doi:10.1136/bmj.2.4682.739
  2. Doll, R. and Hill, A.B. (1954). The mortality of doctors in relation to their smoking habits. British Medical Journal, 1(4877), 1451–1455. doi:10.1136/bmj.1.4877.1451
  3. Doll, R. and Hill, A.B. (1956). Lung cancer and other causes of death in relation to smoking. British Medical Journal, 2(5001), 1071–1081. doi:10.1136/bmj.2.5001.1071
  4. Fisher, R.A. (1958). Lung cancer and cigarettes? Nature, 182(4628), 108. doi:10.1038/182108a0
  5. Fisher, R.A. (1958). Cancer and smoking. Nature, 182(4635), 596. doi:10.1038/182596a0
  6. Stolley, P.D. (1991). When genius errs: R.A. Fisher and the lung cancer controversy. American Journal of Epidemiology, 133(5), 416–425. doi:10.1093/oxfordjournals.aje.a115904
  7. Cornfield, J., Haenszel, W., Hammond, E.C. et al. (1959). Smoking and lung cancer: recent evidence and a discussion of some questions. Journal of the National Cancer Institute, 22(1), 173–203. doi:10.1093/jnci/22.1.173
  8. Hill, A.B. (1965). The environment and disease: association or causation? Proceedings of the Royal Society of Medicine, 58(5), 295–300. doi:10.1177/003591576505800503

All 30 films · Glossary · The Vitagri Academy

Follow the change in farming

Causal evidence is changing how farming is measured and rewarded. Leave your email and we will tell you when new films, courses and findings are published.

Prefer to read online? Vitagri also writes on Substack. See our privacy policy for how we use your email.