The Triple Difference Estimator

26 Pages Posted: 23 Apr 2020

See all articles by Andreas Olden

Andreas Olden

NHH Norwegian School of Economics - Department of Business and Management Science

Jarle Møen

Norwegian School of Economics (NHH) - Department of Business and Management Science

Date Written: April 22, 2020

Abstract

Triple difference has become a widely used estimator in empirical work. A close reading of articles in top economics journals reveals that the use of the estimator to a large extent rests on intuition. The identifying assumptions are neither formally derived nor generally agreed on. We give a complete presentation of the triple difference estimator, and show that even though the estimator can be computed as the difference between two difference-in-differences estimators, it does not require two parallel trend assumptions to have a causal interpretation. The reason is that the difference between two biased difference-in-differences estimators will be unbiased as long as the bias is the same in both estimators. This requires only one parallel trend assumption to hold.

Keywords: Triple difference, difference-in-difference-in-differences, difference-in-differences, DID, DiDiD, parallel trend assumption

JEL Classification: C10, C18, C21

Suggested Citation

Olden, Andreas and Moen, Jarle, The Triple Difference Estimator (April 22, 2020). NHH Dept. of Business and Management Science Discussion Paper No. 2020/1, Available at SSRN: https://ssrn.com/abstract=3582447 or http://dx.doi.org/10.2139/ssrn.3582447

Andreas Olden (Contact Author)

NHH Norwegian School of Economics - Department of Business and Management Science ( email )

Helleveien 30
Bergen, NO-5045
Norway

Jarle Moen

Norwegian School of Economics (NHH) - Department of Business and Management Science ( email )

Helleveien 30
Bergen, NO-5045
Norway

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