Data Transformations - Agricultural Statistical Data Analysis Using Stata - page 214

Table 11.1 Seed treatment means from the original data and the back transformed means

ORIGINAL DATA
MEANS

BACK TRANSFORMED
MEANS TREATMENTS

1 0.3333333 0.1117765

2 0.3333333 0.1117765

3 0.3333333 0.1117765

4 0.6666667 0.224912

5 0.6666667 0.224912

6 1.666667 1.110808

7 8.0 7.95229

8 12.66667 12.63044

9 16.33333 16.28491

10 17.0 16.90513

11 18.33333 18.21566

12 24.33333 24.3327

13 27.33333 27.34132

14 30.66667 30.7889

15 41.0 41.01451

16 41.66667 41.83367

17 42.0 42.13401

18 43.66667 43.91429

19 45.0 45.30207

20 45.33333 45.63686

21 47.66667 47.82714

22 48.33333 48.37023

23 49.0 49.34827

24 49.33333 49.55389

In Table 11.1 are the treatment means from the original data and
the treatment means from the back transformed data.
Other common transformations include using the reciprocal of the
data or squaring the data. Any transformation can be used, as long as
it is applied to all the data points. It should be emphasized, however,
that transformations are used to correct violations of the underlying
assumptions in the analysis, not as a fishing expedition to find the
results you want.