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.

中文翻译：

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测量单位和反双曲正弦变换

反双曲正弦 (IHS) 变换经常用于计量经济学研究，以变换包括零值或负值的右偏变量。我们表明回归结果在很大程度上取决于 IHS 转换变量的测量单位。因此，对这些变量的测量单位的任意选择会对政策或业务决策的建议产生相当大的影响。为了解决这个问题，我们建议采用一种为 IHS 转换变量选择测量单位的程序。Monte Carlo 模拟在各种情况下评估了该程序，经验说明显示了我们建议的程序的相关性和适用性。