“…We situate our paper at the intersection of two strands of literature on difference-indifferences designs and measurement error. Our work is directly related to the longstanding literature on the identification of causal parameters when a binary treatment variable is misclassified (Aigner, 1973;Frazis and Loewenstein, 2003;Mahajan, 2006;Lewbel, 2007;Battistin and Sianesi, 2011;Kreider et al, 2012;Battistin, De Nadai, and Sianesi, 2014;Bollinger and van Hasselt, 2017;Chalak, 2017;Ura, 2018;DiTraglia and Garcia-Jimeno, 2019;Nguimkeu, Denteh, and Tchernis, 2019;Jiang and Ding, 2020;Tommasi and Zhang, 2020;Kasahara and Shimotsu, 2021;Acerenza, Ban, and Kédagni, 2021;Possebom, 2021). Although these studies and the additional papers cited therein cover many quasi-experimental designs, including instrumental variable models, they do not consider misclassification in the DID framework.…”