Results by Pipeline Median
This page goes over again the By Pipeline results, but uses Median Rank from Alternative ranks instead of Mean Rank. As before, we show both an Intra and Inter pipeline (corresponding to the top and bottom of the figure below).

The top part of the figure, IntraPipeline Comparison, shows median rank for each pipeline as computed only relative to other parcellations evaluated with the same pipeline

The bottom part of the figure, InterPipeline Comparison, shows median rank as calculated between each parcellationpipeline combination.

The regression line of best fit on the log10log10 data are plotted separately for each pipeline across both figures (shaded regions around the lines of fit represent the bootstrap estimated 95% CI). The OLS fit here was with robust regression.
Specific statistical tables and results are recreated below.
IntraPipeline Comparison
Dep. Variable:  Median_Rank  Rsquared:  0.864 

Model:  OLS  Adj. Rsquared:  0.863 
Method:  Least Squares  Fstatistic:  828.4 
Date:  Mon, 03 Jan 2022  Prob (Fstatistic):  4.05e280 
coef  std err  t  P>t  [0.025  0.975]  

Intercept  2.6134  0.022  120.447  0.000  2.571  2.656 
C(Pipeline)[T.LGBM]  0.0648  0.031  2.112  0.035  0.005  0.125 
C(Pipeline)[T.SVM]  0.3062  0.031  9.980  0.000  0.246  0.366 
Size  0.2641  0.009  29.575  0.000  0.282  0.247 
Size:C(Pipeline)[T.LGBM]  0.0294  0.013  2.327  0.020  0.054  0.005 
Size:C(Pipeline)[T.SVM]  0.1507  0.013  11.935  0.000  0.175  0.126 
InterPipeline Comparison
Dep. Variable:  Median_Rank  Rsquared:  0.920 

Model:  OLS  Adj. Rsquared:  0.920 
Method:  Least Squares  Fstatistic:  1508. 
Date:  Mon, 03 Jan 2022  Prob (Fstatistic):  0.00 
coef  std err  t  P>t  [0.025  0.975]  

Intercept  2.9877  0.022  137.432  0.000  2.945  3.030 
C(Pipeline)[T.LGBM]  0.0584  0.031  1.899  0.058  0.119  0.002 
C(Pipeline)[T.SVM]  0.6288  0.031  20.452  0.000  0.568  0.689 
Size  0.2553  0.009  28.543  0.000  0.273  0.238 
Size:C(Pipeline)[T.LGBM]  0.1364  0.013  10.783  0.000  0.112  0.161 
Size:C(Pipeline)[T.SVM]  0.3382  0.013  26.734  0.000  0.363  0.313 