  We assembled a sample of broad line and narrow lines AGNs observed by ASCA,
whose excess variances have been determined. The central black hole masses in
this sample can be obtained from the reverberation mapping method and the width
of H$\beta$ emission line. Using the black hole masses and the bolometric
luminosity, the Eddington ratio can also be obtained. We confirmed the strong
anti-correlation between X-ray variability and the central black mass founded
by Lu & Yu. We further found that narrow line Seyfert 1 galaxies (NLS1s) also
follow this relation with a larger scatter and there is only a weak correlation
between the X-ray variability and the Eddington ratio, which suggest that rapid
variability and narrow lines in NLS1s are mainly due to small central black
holes in NLS1s, not the difference of circumnuclear gas around NLS1s. A strong
correlation was found between the hard X-ray photon index and the Eddington
ratio. If the suggestion of two distinct accretion classes, namely ADAF and
thin disk accretion, in AGNs (Lu & Yu) is correct, the strong photon
index-Eddington ration correlation showed that there exists a kind of two zone
accretion disk, in which the outer zone is a thin disk, and the inner zone is
an ADAF disk. Otherwise, the accretion process is the thin disk accretion and
the ADAF accretion is not required.
