Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/283951 
Authors: 
Year of Publication: 
2022
Series/Report no.: 
Working Paper No. 2022-22
Publisher: 
University of Massachusetts, Department of Economics, Amherst, MA
Abstract: 
In economics, it is common to use dimensioned variables, e.g. earnings (measured in dollars per year), as arguments in the logarithmic function. This is conceptually problematic because a logarithmic function can only take dimensionless quantities as its argument. One way to avoid this conceptual error is to rewrite commonly used logarithmic regressions using an arbitrarily chosen reference unit so that ratios of dimensioned quantities are used in logarithmic functions. With the addition of a zero conditional mean assumption about the reference unit to the standard list of assumptions about asymptotic properties of ordinary least squares estimators, such a reformulated model can ensure consistent estimation of elasticities and semi-elasticities without relying on conceptually problematic mathematical operations.
Subjects: 
logarithm
regression
dimensional analysis
JEL: 
C01
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Working Paper

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