Spatial extension of the [O III] wing emission vs. [O III] luminosity for our samples along with outflow sizes obtained by other studies in the literature at similar or higher [O III] luminosity range that find outflows of several kpc scales. For the sources with compact [O III] wing emission, we assume the offset sizes obtained by spectro-astrometry to indicate the how far is the peak of the emission from the nucleus. As previous studies considered the [O III] wing to indicate outflows (e.g., Crenshaw et al. 2010; Zhang 2021), we further plot the outflow sizes measured using the approach taken by Karouzos et al. (2016a), Kang & Woo (2018). We connect the outflow-sizes obtained using the method of Karouzos et al. (2016a) and the offset-sizes using spectro-astrometry for the CARS sources with compact [O III] wing emission to quantify the difference in determining spatial extension using these two methods.