  The scaling properties of the wave functions in finite samples of the one
dimensional Anderson model are analyzed. The states have been characterized
using a new form of the information or entropic length, and compared with
analytical results obtained by assuming an exponential envelope function. A
perfect agreement is obtained already for systems of $10^3$--$10^4$ sites over
a very wide range of disorder parameter $10^{-4}<W<10^4$. Implications for
higher dimensions are also presented.
