“…In particular, this test can be used in a data combination context, where individual realizations and subjective beliefs are observed in two different datasets that cannot be matched. Such situations are common in practice (see, e.g., Delavande, 2008;Arcidiacono, Hotz and Kang, 2012;Arcidiacono, Hotz, Maurel and Romano, 2014;Stinebrickner and Stinebrickner, 2014a;Kuchler and Zafar, 2019;Kapor, Neilson and Zimmerman, 2018). Besides, even in surveys for which an explicit aim is to measure subjective expectations, such as the Michigan Survey of Consumers or the Survey of Consumer Expectations of the New York Fed, expectations and realizations can typically only be matched for a subset of the respondents.…”