Units of measurement and the inverse hyperbolic sine transformation

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The inverse hyperbolic sine (IHS) transformation is frequently applied in econometric studies to transform right-skewed variables that include zero or negative values. We show that regression results can heavily depend on the units of measurement of IHS-transformed variables. Hence, arbitrary choices regarding the units of measurement for these variables can have a considerable effect on recommendations for policies or business decisions. In order to address this problem, we suggest a procedure for choosing units of measurement for IHS-transformed variables. A Monte Carlo simulation assesses this procedure under various scenarios, and an empirical illustration shows the relevance and applicability of our suggested procedure.
OriginalsprogEngelsk
TidsskriftThe Econometrics Journal
Vol/bind24
Udgave nummer2
Sider (fra-til)334–351
Antal sider18
ISSN1368-4221
DOI
StatusUdgivet - 2021

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