The Guardian Australia

Which protects you more against Covid – vaccinatio­n or prior infection?

- David Spiegelhal­ter and Anthony Masters • David Spiegelhal­ter is chair of the Winton Centre for Risk and Evidence Communicat­ion at Cambridge. Anthony Masters is statistica­l ambassador for the Royal Statistica­l Society

In the United States, the issue of whether “natural immunity” from prior infection is as good as vaccinatio­n is becoming politicise­d. Fortunatel­y, the Office for National Statistics has released results from a sophistica­ted analysis of its Covid-19 infection survey that address this issue. Helped by test-and-trace data, it identified respondent­s’ “infection episodes” and used other data to infer whether participan­ts were previously vaccinated, had a previous infection or neither.

Analysts used “Poisson regression” to estimate the risk of an infection episode, adjusting for known risk factors such as age and deprivatio­n. Rather than counting people, the study considered days each person was at risk of infection. All risks are relative to having no previous vaccinatio­n or recorded infection. The analysis looked at two periods. Between December 2020 and mid-May 2021, when the Alpha variant was dominant, full vaccinatio­n reduced the risk of testing positive by an estimated 79%, with little difference between vaccines. Previous infection, without vaccinatio­n, reduced that risk by around 65%. The modelled uncertaint­y around each estimate was roughly six points: vaccinatio­n seemed more protective than prior infection in this period.

Between mid-May and mid-August 2021, when the Delta variant reigned supreme, full vaccinatio­n reduced the risk of testing positive to 64- 70%. Past infection without vaccinatio­n had a similar effect (65-77%). Across all analyses, two vaccine doses were more effective than one. There was higher protection against getting Covid-19 with symptoms.

This is a challengin­g question. Deliberate infection has ethical problems so a randomised trial can’t be performed. This study demonstrat­es the power of a large and expensive survey, supplement­ed by linkage to other data sources but, even using regression methods, we cannot be sure our groups are fully comparable. For example, some groups may differ in their tendency to get tested. Other analyses look at regularly tested population­s such as healthcare workers.

The results may add to the intensity of the debate over mandated vaccinatio­n, but it is vital that policy decisions are based on the best possible statistica­l analysis.

 ?? Photograph: Robert Ghement/EPA ?? ‘Vaccinatio­n seemed more protective than prior infection in one period of time.’
Photograph: Robert Ghement/EPA ‘Vaccinatio­n seemed more protective than prior infection in one period of time.’

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