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Next: 3.3 Up: 3. Previous: 3.1

3.2 The power family of transformations

Stretching the axis differentially.

             
p = 2 1 $\frac{1}{2}$ $\frac{1}{3}$ $-\frac{1}{2}$ -1
  z2 z $\sqrt{z}$ ${}^3\sqrt{z}$ $\frac{1}{\sqrt{z}}$ $\frac{1}{z}$

Unfortunately does not include ln.

Fix up: consider

\begin{displaymath}\frac{z^p - 1}{p}.\end{displaymath}

Take the limit as $p \rightarrow 0$ and you get ln(z).

Need to know the shape of these curves.

The most commonly used is probably the log-transform.

Reasons:

*
Good interpretability in terms of percentage changes.
*
Turns multiplicative relationships into additive ones.


next up previous
Next: 3.3 Up: 3. Previous: 3.1
Richard Waterman
1999-09-30