  We study single field inflation in noncommutative spacetime and compute
two-point and three-point correlation functions for the curvature perturbation.
We find that both power spectrum and bispectrum for comoving curvature
perturbation are statistically anisotropic and the bispectrum is also modified
by a phase factor depending upon the noncommutative parameters. The
non-linearity parameter $f_{NL}$ is small for small statistical anisotropic
corrections to the bispectrum coming from the noncommutative geometry and is
consistent with the recent PLANCK bounds. There is a scale dependence of
$f_{NL}$ due to the noncommutative spacetime which is different from the
standard single field inflation models and statistically anisotropic vector
field inflation models. Deviations from statistical isotropy of CMB, observed
by PLANCK can tightly constraint the effects due to noncommutative geometry on
power spectrum and bispectrum.
