Absolute and relative measures – what’s the difference?

I’m re-working a paper on risk relativism in response to some reviewer comments, and also preparing a talk on the topic for Friday’s meeting at KCL, “Prediction in Epidemiology and Healthcare”. The paper originates in Chapter 8 of my book, where I identify some possible explanations for “risk relativism” and settle on the one I think is best. Briefly, I suggest that there isn’t really a principled way of distinguishing “absolute” and “relative” measures, and instead explain the popularity of relative risk by its superficial similarity to a law of physics, and its apparent independence of any given population. These appearances are misleading, I suggest.

In the paper I am trying to develop the suggestion a bit into an argument. Two remarks by reviewers point me in the direction of further work I need to do. One is the question as to what, exactly, the relation between RR and law of nature is supposed to be. Exactly what character am I supposing that laws have, or that epidemiologists think laws have, such that RR is more similar to a law-like statement than, say, risk difference, or population attributable fraction?

The other is a reference to a literature I don’t know but certainly should, concerning statistical modelling in the social sciences. I am referred to a monograph by Achen in 1982, and a paper by Jan Vandebroucke in 1987, both of which suggest – I gather – a deep scepticism about statistical modelling in the social sciences. Particularly thought-provoking is the idea that all such models are “qualitative descriptions of data”. If there is any truth in that, then it is extremely significant, and deserves unearthing in the age of big data, Google Analytics, Nate Silver, and generally the increasing confidence in the possibility of accurately modelling real world situations, and – crucially – generating predictions out of them.

A third question concerns the relation between these two thoughts: (i) the apparent law-likeness of certain measures contrasted with the apparently population-specific, non-general nature of others; and (ii) the limitations claimed for statistical modelling in some quarters contrasted with confidence in others. I wonder whether degree of confidence has anything to do with perceived law-likeness. One’s initial reaction would be to doubt this: when Nate Silver adjusts his odds on a baseball outcome, he surely does not take himself to be basing his prediction on a law-like generalisation. Yet on reflection, he must be basing it on some generalisation, since the move from observed to unobserved is a kind of generalising. What more, then, is there to the notion of a law, than generalisability on the basis of instances? It is surprising how quickly the waters deepen.

Relative Activity in philosepi

Having neglected this blog for several months I find myself suddenly swamped with things to write about. My book has been translated into Korean by Hyundeuk Cheon, Hwang Seung-sik, and Mr Jeon, and judging by their insightful comments and questions they have done a superb and careful job. Next week there is a workshop on Prediction in Epidemiology and Healthcare at KCL, organised by Jonathan Fuller and Luis Jose Flores, which promises to be exciting. Coming up in August is the World Congress of Epidemiology, where I’m giving two talks, hopefully different ones – one on stability for a session on translation and public engagement, and one on the definition of measures of causal strength as part of a session for the next Dictionary of Epidemiology. And I’m working on a paper on risk relativism which has been accepted by Journal of Epidemiology and Community Health subject to revisions in response to the extremely interesting comments of 5 reviewers – I think this is possibly the most rigorous and most useful review process I have encountered. Thus this is a promissory note, by which I hope to commit my conscience to writing here about risk relativism, stability and measures of causal strength in the coming weeks.