论文信息 - The Inverse of the Freeman – Tukey Double Arcsine Transformation

The Inverse of the Freeman – Tukey Double Arcsine Transformation

Abstract A formula for the inverse of the Freeman–Tukey double arcsine transformation is derived. This formula is useful when expressing means of double arcsines as retransformed proportions. When the mean is taken from original proportions involving different n's, it is suggested that the harmonic mean of the n's be used in the inversion formula.

J. Miller | John J. Miller

[1] Frederick Mosteller,et al. Tables of the Freeman-Tukey Transformations for the Binomial and Poisson Distributions , 1961 .

[2] J. Tukey,et al. Transformations Related to the Angular and the Square Root , 1950 .