Arcsine or angular transformations have been used for many years to transform proportions to make them more suitable for statistical analysis. A problem with. The Rationalized Arcsine Transform linearizes the proportions and converts them to “rational arcsine units”. The linear tests can then be performed on the RAU. RAU(X,N) transforms the number of correct responses X to the % rationalized arcsine (rau). N gives the number of repetitions. %.

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A “rationalized” arcsine transform. 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.


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