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Fig. C.3

image

Results of the HOG analysis of the HI (without 100-K HI background emission) and 13CO synthetic observations of the Clark et al. (2018) simulations. Left panels: projected Rayleigh statistic, V (v13CO, vHI), the HOG statistical test of spatial correlation between HI and 13CO velocity-channel maps, defined in Eq. (3). The contours indicate the 3ςV, 4ςV, and 5ςV levels in the corresponding velocity range. Right panels: mean resultant vector length, r(v13CO, vHI), within the 3ςV confidence interval, a HOG metric that is roughly equivalent to the percentage of gradient pairs that imply the spatial correlation between the velocity-channel maps, defined in Eq. (2). Top and bottom panels: face-on and edge-on synthetic observations, respectively.

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