Date: Dec 11, 2012 10:12 PM
Author: Halitsky
Subject: OK then, how ‘bout “hetness”? Are you amenabl<br> e to its further investigation?
To date, the only results we have that are both ?good? and fully cross-

fold are the ?het?-related results:

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

3N Aubqe L L H H L L H H H H L L 0

LH-Het

3N Aubqu L H H H H H L H L H L H 4

HL-Het

1N CVubq H L H L H L H L H L H L 6

2N CVubq H L H L H L H L H L H L 6

where Aubqe is the average slope of e in regression Rubq = c on

(e,u,u*e,u^2)

Aubqu is the average slope of u in regression Rubq = c on

(e,u,u*e,u^2)

CVubq is the covar of e and u in regression Rubq = c on

(e,u,u*emu^2(

These results are ?good? not only because:

a) your MonteCarlo-ing indicated p?s for Het=0, LH-Het= 4, HL-Het=6

of .022, .049, and .001 respectively;

but also because:

b) no set x MoSS combination involving MoSS=R exhibits a value for

Het, LH-Het, or HL-het with an associated probability of < .05.

And therefore, the three flavors of ?hetness? can certainly be said to

successfully distinguish our non-random dicodon subsets from our

random dicodon subsets (an outcome we have not been able to achieve

ACROSS ALL FOLDS via computation of 2-ways or Q-associated p?s etc.)

On the other hand, you?ve expressed two kinds of reservations about

?hetness?:

c) it involves a dichotomization of slopes obtained when Aubqe or

Aubqu or CVubq is regressed on length;

d) you yourself have no intuition at all about what CVubq might

actually ?mean, and only a vague intuition about what Aubqe or Aubqu

might actually ?mean?.

So, given these reservations, are you amenable to further

investigation of ?hetness?, or is that somewhere you don?t

particularly want to go?

Thanks as always for considering this question, and please forgive the

apparent "numerology". (I should have introduced the matter in the

context of local properties of surfaces in the neighborhoods of

different points ... standard differential geometry.)