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Topic: Interpretation of coefficients in multiple regressions which model
linear dependence on an IV

Replies: 146   Last Post: Dec 15, 2012 6:44 PM

 Messages: [ Previous | Next ]
 Halitsky Posts: 600 Registered: 2/3/09
Glad you brought up “singleton” length intervals
... been thinkin’ on ‘em also ...

Posted: Dec 2, 2012 12:28 PM

You wrote:

?Or maybe analyze at each individual length (interval-width = 1)??

As you pointed out early on in this effort, danger inheres in
?cleaving nature? by ANY choice of length interval when the empirical
situation is still murky (even though some cleavages can be more/less
defensible than others on purely technical grounds.)
But in our case I think a special danger lurks in ANY length interval
cleavage we make because even though we haven?t studied how long
important structural subunits actually are in different folds (length
= number of amino acids = number of codons), our length interval
cleavages (equi-width OR equi-ratio) not only imply that we do have
this privileged knowledge, but also imply that any u,e-based
?profiles? relevant to evolution of important structural subunits
should be defined on a particular set of length intervals rather than
another.

So in the case of some folds, we might get lucky with our choice of
length intervals (as the good Aug two-ways for certain length
intervals within folds a1,b1,c1,c2 seem to indicate), while with other
folds such as a3 and b47, our luck may not hold up (as the absence of
any good Auq two-ways for any length intervals within folds a3 and b47
seems to indicate.

And the only way to stop playing this kind of russian roulette with
the data is to take your suggestion and drop back to singleton length
intervals.

This will, of course, lead to some Bonferroni issues later on because
given the fact that our singleton lengths range roughly from 25 to
125, we?ve multiplied Bonferroni entries by a factor of 8.5 (=
100/12). But it is to be hoped that if the move to singletons is
correct, the data will show us natural groupings for Bonferroni tables
that we can?t see now.

Anyway, I?ve completed the code additions for the second new
regression, and desk-checked them.

So now I?ll rerun the analysis for the first and second regressions
using singleton length intervals and post back when complete.

Thanks again for your continued consideration of these matters, and
please feel free to again interject ?unilaterally? if any other
changes occur to you that might increase our chances of success, or at
least decrease our chances of arrogant methodological error.

Date Subject Author
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