[R] Freeman-Tukey arcsine transformation

Peter Dalgaard p.dalgaard at biostat.ku.dk
Tue Mar 13 20:30:28 CET 2007

Bos, Roger wrote:
> 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?
Well, a paper copy of the American Statistician (1978) would be free in 
some sense....

In the meantime I got detached from JSTOR (i.e., I went home), and I'm 
not prepared to jump through the relevant hoops for remote access at 
this point, but AFAIR it was a relatively trivial version of the simple 
arcsine transform, something like replacing asin(r/n) with the average 
of asin(r/(n+1)) and asin((r+1)/(n+1)). The point of the paper is that 
you can invert explicitly for r/n if n is known.

>             /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

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