```Date: Dec 5, 2012 3:00 AM
Author: Halitsky
Subject: I'm VERY glad you'll know how to answer this "perms and combs"<br> question !

The following table is derived in the obvious way from the rankings of"m" in CI plots of the regressions of two of our average slopesagainst all available singleton lengths (Average slope ?Aube? is forthe e coefficient of the regression c on (u,e,u*e) and average slopeAubqe is for the e coefficient in the regression c on (e,u,u*e,u^2).           a1   a3   b1  b47   c1   c2          C S  C S  c S  c S  C S  C S  "Het"N1 Aube   H H  L L  H H  H H  L L  L L    0   Aubqe  H H  L L  H H  H H  L L  L L    0N2 Aube   L L  L H  H H  H H  L L  H L    2   Aubqe  L H  L H  H L  H H  L L  H L    4N3 Aube   L L  H H  L L  H H  H H  L L    0   Aubqe  L L  H H  L L  H H  H H  L L    0R1 Aube   H L  H H  H L  H L  L L  L H    4   Aubqe  H L  H H  H H  H L  L L  L H    3R2 Aube   L L  L H  L H  L L  H H  H H    2   Aubqe  L L  L H  H H  L L  H H  L H    2R3 Aube   L H  L H  L L  H H  H H  L L    2   Aubqe  L H  L H  L L  H H  H H  L L    2For example, the N1 Aube row was derived from this set of values:FoldMethodSetSubset       Aubec1_N_1_C  -0.000013a3_N_1_C   0.000002a3_N_1_S   0.000174c1_N_1_S   0.000222c2_N_1_C   0.000543c2_N_1_S   0.000581a1_N_1_S   0.000598b47_N_1_C  0.000639b47_N_1_S  0.001017b1_N_1_S   0.001754a1_N_1_C   0.001913b1_N_1_C   0.002033in which:a) both a1  values are among the highest 6b) both a3  values are among the lowest  6c) both b1  values are among the highest 6d) both b47 values are among the highest 6e) both c1  values are among the lowest  6f) both c2  values are among the lowest  6So here?s the question:What is the probability of ?het = 0?, as in the case of the N1 Aubeand Aubqe rows and the N3 Aube and Aubqe rows.  That is, what is theprobability that every one of the six folds will have the same value(H or L) for both S and C?The reason why this question is so important is that the above dataparadigm is kind of the ?inverse? of the one we saw for average slopeAuq, where ?het = 6 for N1 and 5 for N2.  And in that sense, thescientifically interesting thing about Aube and Aubqe is that thesolution to the mystery of their behavior lies in the Sherlock Holmesstory whose plot turns on the fact that the dog DIDN?T bark:http://en.wikipedia.org/wiki/Silver_Blaze
```