Cited by 28Advanced Statistical Methods and ModelsStatistical Methods and ApplicationsStatistical and numerical algorithms

Units of measurement and the inverse hyperbolic sine transformation

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Aihounton, Ghislain B D, Henningsen, Arne·2021·The Econometrics Journal

Abstract

Summary: 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.

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Crossref · 10.1093/ectj/utaa032

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  • In accordance with our findings, it is reported that the parameter z of the inverse hyperbolic sine transformation can substantially affect regression results.

    “In accordance with our findings, it is reported that the parameter z of the inverse hyperbolic sine transformation (equation 20) can substantially affect regression results 39 .”

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Authors
Aihounton, G. B. D., & Henningsen, A.
Affiliations
  • Department of Food and Resource Economics, University of Copenhagen, Rolighedsvej 25, 1958 Frederiksberg C, Denmark
  • University of Copenhagen (DK)
Corresponding author
Henningsen, Arne
Venue
The Econometrics Journal
Published
2020-10-31
Volume
24
Issue
2
Pages
334-351
ISSN
  • 1368-4221 (ISSN-L)
  • 1368-423X
OpenAlex
W2999968854
Cited by
28
References
0
Citations by year
2025: 5 · 2024: 5 · 2023: 7 · 2022: 6 · 2021: 3 · 2020: 2
FWCI
3.17
Type
journal article
Language
en
Open access
Locations
  • Econometrics Journal (publishedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • Research at the University of Copenhagen (University of Copenhagen) (submittedVersion, other-oa)
  • Econstor (Econstor) (submittedVersion)
Funders
Ministry of Foreign Affairs of Denmark (14-02KU)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
  • Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
Keywords
units of measurement, policy recommendations, business decisions

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