Studebaker G A
J Speech Hear Res. 1985 Sep;28(3):455-62. doi: 10.1044/jshr.2803.455.
Arcsine or angular transformations have been used for many years to transform proportions to make them more suitable for statistical analysis. A problem with such transformations is that the arcsines do not bear any obvious relationship to the original proportions. For this reason, results expressed in arcsine units are difficult to interpret. In this paper a simple linear transformation of the arcsine transform is suggested. This transformation produces values that are numerically close to the original percentage values over most of the percentage range while retaining all of the desirable statistical properties of the arcsine transform.
反正弦或角度变换已被使用多年，用于转换比例，使其更适合进行统计分析。这种变换存在一个问题，即反正弦与原始比例没有任何明显的关系。因此，以反正弦单位表示的结果难以解释。本文提出了一种反正弦变换的简单线性变换。这种变换产生的值在大部分百分比范围内在数值上接近原始百分比值，同时保留了反正弦变换所有理想的统计特性。
