Effects of the magnetic field direction on the Tsallis statistic
  We extend the use of the Tsallis statistic to measure the differences in gas
dynamics relative to the mean magnetic field present from natural eddy-type
motions existing in magnetohydrodynamical (MHD) turbulence. The variation in
gas dynamics was estimated using the Tsallis parameters on the incremental
probability distribution function of the observables (intensity and velocity
centroid) obtained from compressible MHD simulations. We find that the Tsallis
statistic is susceptible to the anisotropy produce by the magnetic field, even
when anisotropy is percent the Tsallis statistic can be use to determine MHD
parameters such as the Sonic Mach number. We quantize the goodness of the
Tsallis parameters using the coefficient of determination to measure the
differences in the gas dynamics. These parameters also determine the level of
magnetization and compressibility of the medium. To further simulate realistic
spectroscopic observational data we introduced smoothing, noise, and cloud
boundaries to the MHD simulations.
