Stella Offner edited section_Stastical_Comparisons_label_comparisons__.tex  over 8 years ago

Commit id: fed8e8e4b8564c50c532283d7f300e8e1c293ead

deletions | additions      

       

RB May be best to organize by type of statistic. How about:  \subsection{Higher Order Statistical Moments}  We follow the analysis of Koch et al. (2015) to compute PDFs of kurtosis and skewness. For all positions in an integrated intensity map, we compute each higher-order moment within a small, confined circular region. Similar to Koch et al. (2015), we choose a circular radius of 5 pixels. The kurtosis and skewness PDFs are histograms of the moment arrays, and are shown in figure ??? (necessary have this elaboration? Diffucult to word without directly plagiarizing--this is what I have so far).   Our Kurtosis PDFs also exhibit similar behavior. They are each centered at zero, and sharply decrease with increasing kurtosis magnitude. Run W2T2t0's distribution "falls off" at a faster rate and (is more probable to have a zero Kurtosis--need this?) than that (those) of run W1T2t0.2's. The Skewness PDFs have similar shapes, but run W1T2t0.2's distribution is centered around a positive skewness, while run W2T2t0's distribution is centered around zero. (Thus,) On small scales, the integrated intensity distributions of our two runs behave similar to Gaussian distributions, though run W1T2t0.2 has a greater tendency to diverge from this behavior than that of W2T2t0. (Despite this difference, we find it difficult to identify clear, distinct features corresponding to feedback)   \subsection{Principal Component Analysis}  We present the velocity channel covariance matrices of runs W1T2t0.2 and W2T2t0 in Figure ???, and identify features indicative of stellar feedback. Multiple covariances of velocity channels between -2 and 2 km/s (the channels of strongest intensity???) are larger in run W1T2t0.2 than those in run W2T2t0. We argue that these covariances increase in a particular behavior: features at the center of W2T2t0's covariance matrix are augmented and further separated, as shown in W1T2t0.2's covariance matrix (fig 1b??), and the covariances outlining the features also increase. This is appears to be a direct consequence of launching isotropic as stellar winds, the only new addition to our simulation. (interpret the covariance magnitude?)