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Causal DAG templates

Maths — Instrumental Variable

An instrument identifies a causal effect despite confounding.

Template previewCausal DAG
Instrumental variableZInstrument ZXExposure XYOutcome YUUnmeasured confounderExposureOutcomeConfounderMediatorUnobservedNo adjustment set works — but `Instrument Z` is an instrument, which identifies the effect under the usual instrumental-variable assumptions.No adjustment set works here — and `Instrument Z` is an INSTRUMENT: it moves the exposure, and this diagram gives it no path to the outcome except through the exp…

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title "Instrumental variable"
node Z "Instrument Z"
exposure X "Exposure X"
outcome Y "Outcome Y"
unobserved U "Unmeasured confounder"
Z -> X
X -> Y
U -> X
U -> Y