This report gives some simple examples of stability for one factor and 2 x 2 factorial analysis of variance, reliability and correlations. The findings are very different: from superstability (no transformation whatsoever can change the result) to almost total instability. This is followed by a discussion of applications to multivariate analysis, and by some final remarks. It can be added that the technique can also be utilized for scaling variables to obtain a best fit to mathematical models other than those involved in usual statistical analysis. (Author)