  In this work we study the large scale structure bias in models of anisotropic
inflation. We use the Peak Background Splitting method in Excursion Set Theory
to find the scale-dependent bias. We show that the amplitude of the bias is
modified by a direction- dependent factor. In the specific anisotropic
inflation model which we study, the scale- dependent bias vanishes at leading
order when the long wavelength mode in squeezed limit is aligned with the
anisotropic direction in the sky. We also extend the scale-dependent bias
formulation to the general situations with primordial anisotropy. We find some
selection rules indicating that some specific parts of a generic anisotropic
bispectrum is picked up by the bias parameter. We argue that the anisotropic
bias is mainly sourced by the angle between the anisotropic direction and the
long wavelength mode in the squeezed limit.
