
I enjoyed Agatha Christie’s Hercule Poirot. Not only did the ingenious Belgian solve the murder so artfully. But someone identifiable is killed and someone identifiable is the killer.
Epidemiological studies are whodunits, too. Except you don’t know who has been killed, what the murder weapon is, or who the killer is. You only know that a murder may have happened.
A study found a higher incidence of breast cancer with false positive than true negative mammograms. Meaning false positive findings – findings thought to be cancer but aren’t – should lead to vigilance, not celebration.
Here’s an image to help put the absolute difference in perspective: If in the right aisle of a hall there are 600 women with false positive and in the left aisle 600 women with true negative mammograms, one extra woman in the right aisle will develop cancer over 10 years. Once we factor lead time and overdiagnosis, the extra cancer will probably not reduce longevity.
Whether it is the tiny benefit of statins or a tiny absolute risk increase in epidemiological studies, no effect is too small to fret about. The authors, to their credit, handled the results modestly and merely suggested that a false positive status be used in predicting risk of cancer — not that the false-positive result itself somehow causes an increase in cancer risk.
Effect size correlates poorly with media sensationalism. Media coverage was extensive, partly because false positives increasing cancer risk is Twilight Zonish – just when you thought it was safe to go outside.
