Anti-inflammatory painkillers looked barely riskier for your kidneys than paracetamol. They were twice as risky.
Doctors were already steering the frailest patients away from them, which made the drug look safer than it was. Two independent methods recovered the real answer — 2.05 and 2.14, against a true value of 2.20 I had sealed before starting. The obvious comparison missed 46% of a real harm.
New-user active-comparator design · propensity-score matching with covariate balance · self-controlled case series as an independent check · bootstrap intervals · negative-control outcome.
So whatWhen treatment is not randomly assigned, the gap between the crude number and the truth is not noise you can average away with more data. It is structural, it has a direction, and it usually flatters the drug.
Switch between the crude, propensity-matched, and self-controlled estimates to see each odds ratio move toward the sealed true effect of 2.20.
Adjust, and the harm appears.
The crude comparison says these two drugs barely differ. But sicker patients were steered toward one of them — confounding. Switch on each method and watch the estimate climb toward the sealed truth.
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