Elasticities and the Inverse Hyperbolic Sine Transformation
推导了反双曲正弦变换在常见应用中的弹性公式,并通过实证表明随意变换会导致弹性差异显著,为应用研究者提供实用指导。
Abstract Applied econometricians frequently apply the inverse hyperbolic sine (or arcsinh) transformation to a variable because it approximates the natural logarithm of that variable and allows retaining zero‐valued observations. We provide derivations of elasticities in common applications of the inverse hyperbolic sine transformation and show empirically that the difference in elasticities driven by ad hoc transformations can be substantial. We conclude by offering practical guidance for applied researchers.