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Paper · arXiv

Minimum Specification Perturbation: Robustness as Distance-to-Falsification in Causal Inference

Empirical causal claims depend on many analyst decisions, from selecting covariates to choosing estimators. Existing robustness tools summarize how results vary across these choices, but, to the best of our knowledge, do not answer: \textbf{How many analyst decisions must change to reach a specification, which is a set of choices, whose confidence interval (CI) contains zero?} We introduce \emph{Minimum Specification Perturbation (MSP)}, the smallest number of changes. MSP is small under the null, grows with effect strength and captures distance-to-falsification information that dispersion-based summaries cannot report; when making decisions under weak effects, an MSP-based rule yields lo...

AuthorsHoang Dang, Luan Pham, Minh Nguyen
Primary categorystat.ME
Published2 May 2026
Last updated at source29 September 2026
stat.MEcs.LG
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