Some Consequences of Including Impulse-Indicator Dummy Variables in Econometric Models

David Giles

Journal of Quantitative Economics, 2022, vol. 20, issue 2, No 3, 329-336

Abstract: Abstract Suppose that a regression model includes a regressor that is a dummy variable that takes a non-zero value for only one observation. Then the least squares estimates of the coefficients of the other regressors are the same as would be obtained by dropping that observation from the sample and omitting the dummy variable. This is well-known, but is frequently overlooked by practitioners. In this note we extend this result to the case of instrumental variables estimation, and to maximum likelihood estimation of models for count data, binary dependent variables, and duration data. These extensions also allow for the inclusion of many such “impulse-indicator” variables in the model, not just one.

Keywords: Dummy variables; Impulse-indicator variables; Instrumental variables; Count data; Duration data; Binary data (search for similar items in EconPapers)
JEL-codes: C20 C25 C26 C41 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40953-022-00294-y

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