[R] Freeman-Tukey arcsine transformation

[Bos, Roger]

I'm curious what this transformation does, but I am not curious enough to pay $14 to find out.  Someone once told me that the arcsine was a good way to transform data and make it more 'normal'.  I am wondering if this is an improved method.  Anyone know of a free reference?

 

-----Original Message-----
From: r-help-bounces at stat.math.ethz.ch [mailto:r-help-bounces at stat.math.ethz.ch] On Behalf Of Peter Dalgaard
Sent: Tuesday, March 13, 2007 10:58 AM
To: Inman, Brant A. M.D.
Cc: r-help at stat.math.ethz.ch
Subject: Re: [R] Freeman-Tukey arcsine transformation

Inman, Brant A. M.D. wrote:
> R-Experts:
>
> Does anyone know if there are R functions to perform the Freeman-Tukey 
> double arcsine transformation and then backtransform it?
>
>   

Well, if not, both are given by explicit formulas, so it shouldn't take long to implement, cf.:

    The Teacher's Corner


        *The Inverse of the Freeman-Tukey Double Arcsine Transformation
        <http://www.jstor.org/view/00031305/di020556/02p0095b/0?frame=noframe&dpi=3&userID=c0261211@all.ku.dk/01cce4405c00501bb027f&backcontext=page&backurl=/cgi-bin/jstor/viewitem/00031305/di020556/02p0095b/0%3fframe%3dnoframe%26dpi%3d3%26userID%3dc0261211@all.ku.dk/01cce4405c00501bb027f%26config%3d%26PAGE%3d0&config=jstor&PAGE=0>*



            John J. Miller 


            /The American Statistician/, Vol. 32, No. 4. (Nov., 1978),
            p. 138. 


            Stable URL:
            http://links.jstor.org/sici?sici=0003-1305%28197811%2932%3A4%3C138%3ATIOTFD%3E2.0.CO%3B2-Z



              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.



> Thanks,
>
> Brant Inman
> Mayo Clinic
>
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>   


-- 
   O__  ---- Peter Dalgaard             Øster Farimagsgade 5, Entr.B
  c/ /'_ --- Dept. of Biostatistics     PO Box 2099, 1014 Cph. K
 (*) \(*) -- University of Copenhagen   Denmark          Ph:  (+45) 35327918
~~~~~~~~~~ - (p.dalgaard at biostat.ku.dk)                  FAX: (+45) 35327907

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