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Investigate bias from mis-specified lag structures between policy announcements and epidemic outcomes

Investigate whether mis-specifying the lag length between national policy announcements and observed epidemic outcomes in time-series regression models biases estimated policy effects, and characterize the nature and direction of any such bias under plausible epidemic dynamics.

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Background

The paper argues that 2-week and 4-week lags used between policy announcements and outcomes (cases or deaths) are implausibly short given biological and reporting delays. The author raises the question of whether lag mis-specification can bias results, potentially even flipping the apparent direction of policy effects.

This uncertainty is explicitly acknowledged as unclear, motivating a need to formally analyze the consequences of lag mis-specification in epidemic policy-effect regressions.

References

But the question is whether mis-specifying the time-structure of the relationship in the regression can bias outcomes? It is unclear but consider the example in the figure below.

Analysis of Potential Biases and Validity of Studies Using Multiverse Approaches to Assess the Impacts of Government Responses to Epidemics (2409.06930 - Goldhaber-Fiebert, 11 Sep 2024) in Approach and Findings – Bias Due to Specification?