where xi is the original score and J is a constant from which each score is subtracted so
that the smallest score is 0.5. J is the largest score+0.5. In SAS code this would be
newx=sqrt(j−oldx).
Figure 5.14: Histogram and normal
probability plot for arcsine
transformed variable ‘CORRE’—
percentage correct easy reading
passage
Interpretation of Transformed Scores
Choosing a statistical test 157