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An impulse response function describes the dynamic evolution of an outcomevariable following a stimulus or treatment. A common hypothesis of interest iswhether the treatment affects the outcome. We show that this hypothesis is bestassessed using significance bands rather than relying on commonly displayedconfidence bands. Under the null hypothesis, we show that significance bandsare trivial to construct with standard statistical software using the LMprinciple, and should be reported as a matter of routine when displayingimpulse responses graphically.

Significance Bands for Local Projections