Ryan Boyden edited subsection_Intensity_Statistics_We_show__.tex  over 8 years ago

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\subsection{Intensity Statistics}  We show the colorplots for all intensity statistics in Figure ???. The PDF, Skewness, Kurtosis, PCA, and SCF produce similar colorplots, exhibiting the strongest sensitivities towards stellar mass-loss rates. The Kurtosis and Skewness statistics produce the clearest sensitivities: they  yield the largest distances when a strong wind model is paired with a purely turbulent one, and a second largest distance when a strong wind model is compared to a weak wind model. For the The  PDF, PCA, and SCF, this distinction is not as clear, due to the changes in magnetic field strengths. We note similar sensitivities for the PDF, SCF, and PCA, but the distinction between distances and simulation pairs appears to be blurred from by changes in magnetic field (something like this?)  PDF, Kurtosis, and Skewness also show smaller sensitivities towards changes in magnetic field strength under pairings of the same wind model, whereas PCA and SCF hardly show any (REWORD). The Cramer Statistic, defined as a distance metric, exhibits behavior different from that of the other intensity statistics. We define the Cramer Statistic as the difference between two points in a 2D array compared to the differences between two points within the array (cite Koch?) (check to see if the differences are weighted at all.). Looking at the Cramer Statistic colorplot, we find large distances when strong wind models are paired with purely turbulent ones, and relatively (significantly?) smaller values for all other pairs.