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I need to correct an apparent miscommunication regar ding derivation of het H’s and L’s
Posted:
Dec 12, 2012 10:10 PM
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In point (2) of your last post of 12/12 at 6:57pm ssm time, you asked:
?2. [...]Are the values whose median you get averages over all Lengths? [...]
No. I?m sorry my earlier posts on this matter were insufficiently clear.
To try and clarify, each of the twelve values that underlie the twelve H?s and L?s in this row of the het table:
a1 a3 b1 b47 c1 c2 C S C S C S C S C S C S Het 1N Aubqe H H L L H H H H L L L L 0
is the slope of the regression of all values of Aubqe against all values of Length for each of the twelve fold x subset combinations | set=1, method=N.
To make this statement perfectly clear:
I.
The twelve slope values underlying the H?s and L?s in the above het row are:
Slopes of Regressions of Aubqe on Length (L) for each Fold x Subset | Set 1, Method N
Fold x Slope Subset | # of Set 1 of Aubqe Meth N L?s on L
a3_S_1_N 70 -0.000188 c1_C_1_N 101 -0.000026 a3_C_1_N 48 0.000052 c1_S_1_N 101 0.000266 c2_S_1_N 96 0.000421 c2_C_1_N 95 0.000550
b47_C_1_N 99 0.000618 a1_S_1_N 101 0.001069 b47_S_1_N 99 0.001079 b1_S_1_N 31 0.001119 b1_C_1_N 28 0.002015 a1_C_1_N 101 0.002210
where, for example, het is H for (b1,C) and (b1,S) because both b1 values (.001119 and .0022015) are above the median in the above table.
II.
In the case of the b1,C value of .002015 in the above table of regression slopes, this value is the slope of the regression of the 28 values of Aubqe on the 28 values of length in the following table, where for example, 0.029825086 is the value of Aubqe from the regression of c on (e,u,u*e,u^2) for the 19 observations that were obtained at length 31 for set 1, method N, fold b1, subset C.
Len Aubqe N 28 -0.021733290 24 29 0.027230210 25 30 -0.010880656 29 31 0.029825086 19 32 -0.011625612 20 33 0.071438615 17 34 0.009855592 22 35 0.113916039 21 36 -0.016038401 23 37 0.047093588 16 38 -0.002015528 17 39 0.098748678 15 41 0.090504651 29 58 -0.040066899 16 60 0.074271940 19 61 0.139588949 19 62 0.242534468 19 63 0.139639919 17 67 -0.130255362 19 72 0.002199866 18 74 -0.107438465 19 76 0.136680341 24 78 -0.090464638 20 79 0.192887241 20 84 0.285430214 17 93 -0.091072353 15 98 0.283460793 16 102 0.352348082 15
III.
Similarly, in the case of the b1,S value of .001119, this value is the slope of the regression of the 31 values of Aubqe on the 31 values of length in the following table, where for example, 0.082857411 is the value of Aubqe from the regression of c on (e,u,u*e,u^2) for the 17 observations that were obtained at length 30 for set 1, method N, fold b1, subset C.
Len Aubqe N 28 -0.041933273 17 30 0.082857411 17 32 -0.023307810 15 33 0.016436268 19 34 0.064338883 18 35 0.018537301 17 36 0.135477085 26 37 -0.024060074 20 38 0.062289905 18 39 0.070760023 15 40 0.123686153 17 41 0.132276040 26 43 0.214517353 15 47 0.076900232 17 58 0.092083175 15 60 0.034969293 17 61 0.147578406 16 62 0.109426822 20 63 0.129541862 17 64 0.334851532 16 67 -0.075508098 16 72 0.277183445 21 74 0.187384762 21 76 0.239240102 22 78 0.167346457 19 79 -0.028333849 19 81 0.428005607 17 82 0.157404506 16 84 -0.119050706 18 92 0.214102568 15 98 -0.174494187 16
I don?t know if this clarification removes any of your concerns, adds to them, or makes no difference.
But before continuing the discussion, I wanted to make sure it was perfectly clear how the het H and L values were derived.
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