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We investigate the statistical properties of the scattering matrix $S$describing the electron transport through quasi-one dimensional disorderedsystems. For weak disorder (metallic regime), the energy dependence of thephase shifts of $S$ is found to yield the same universal parametriccorrelations as those characterizing chaotic Hamiltonian eigenvalues driven byan external parameter. This is analyzed within a Brownian-motion model for $S$,which is directly related to the distribution of the Wigner-Smith delay timematrix. For large disorder (localized regime), transport is dominated byresonant tunneling and the universal behavior disappears. A model based on asimplified description of the localized wave functions qualitatively explainsour numerical results. In the insulator, the parametric correlation of thephase shift velocities follows the energy-dependent autocorrelator of theWigner time. The Wigner time and the conductance are correlated in the metaland in the insulator.Comment: 32 pages, LaTex (RevTex 3), epsf, 6 EPS figures, submitted to J.  Phys. I (France

Parametric Statistics of the Scattering Matrix: From Metallic to Insulating Quasi-Unidimensional Disordered Systems