Fig. 7

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Results from the two-sided 1D and 2D KS tests between the P and C2H moment 0 maps of B335, performed with N = 100 and n = 1000. Top row (left and middle): P and C2H moment 0 emission maps in color scale, respectively. Both maps are overlaid with the N lines, where the white lines correspond to the N′ sample of selected profiles. The red lines correspond to the profiles where the S/N selection criteria was not reached, and the black lines correspond to the profiles where the 1D Gaussian fit does not converge. Right: obtained (σ,µ) values from these 1D Gaussian fits in the form of a 2D diagram, with a linear regression line fitting both the σ and µ values. Middle row: results of the two-sided 2D KS tests, where each pixel corresponds to a given Gaussian distribution of width Σ, added on the sample of σ values (x-axis) and µ values (y-axis), obtained from the P map. The gray scale corresponds to the p-values obtained after n realizations. The left, middle, and right panels, show the mean p-value minus the standard deviation of p-values, the mean p-value, and the mean p-value plus the standard deviation of the obtained p-values, respectively. The blue contours correspond to p = 0.2. Bottom row: results of the two-sided 1D KS tests performed on the µ values (left panel) and on the σ values (right panel). In each panel the solid line and markers represent the resulting mean p-value as a function of Σ, which is the width of the Gaussian distribution added on the σ and µ values obtained from the P map. At each point, the shaded area shows the complete range of obtained p-values, while the error bars indicate the standard deviation of the distribution of p-values after n tries. Given our p rejection criteria of 0.2, we can infer that the two (σ,µ) distributions between the C2H moment 0 and P maps could come from a common parent distribution.
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