  A spatially homogeneous and anisotropic Bianchi type I universe is studied
with the interacting holographic and new agegraphic scalar fields models of
dark energy.
  Given, the framework of the anisotropic model, both the dynamics and
potential of these scalar field models according to the evolutionary behavior
of both dark energy models are reconstructed. We also investigate the
cosmological evolution of interacting dark energy models, and compare it with
observational data and schematic diagram.
  In order to do so, we focus on observational determinations of the expansion
history $H(z)$. Next, we evaluate effects of anisotropy on various topics, such
as evolution of the growth of perturbations in the linear regime, statefinder
diagnostic, Sandage-Loeb (SL) test and distance modulus from holographic and
new agegraphic dark energy models and compare the results with standard FRW and
$\Lambda$CDM and $w$CDM models.
  Our numerical result show the effects of the interaction and anisotropy on
the evolutionary behavior the new agegraphic scalar field models
