A "Rationalized" Arcsine Transform 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 ... Research Note
Research Note  |   September 01, 1985
A "Rationalized" Arcsine Transform
 
Author Affiliations & Notes
  • Gerald A. Studebaker
    Memphis State University, Memphis, TN
Article Information
Research Note
Research Note   |   September 01, 1985
A "Rationalized" Arcsine Transform
Journal of Speech, Language, and Hearing Research, September 1985, Vol. 28, 455-462. doi:10.1044/jshr.2803.455
History: Received October 15, 1984 , Accepted April 9, 1985
 
Journal of Speech, Language, and Hearing Research, September 1985, Vol. 28, 455-462. doi:10.1044/jshr.2803.455
History: Received October 15, 1984; Accepted April 9, 1985

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.

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