Hi Michael,
From what I understand, yes this would be an example.
What you would want in order to proceed is an instrumental variable ... so
something that is correlated with the presence of agents in a county, but
not with premiums. I don't have an example for you off hand, but often
outside interventions are a good source to look for instruments. So, if an
agent had to change counties due to spousal relocation or something like
that. that's a pretty weak example, but that is the type of thing you want
to look for. does that make sense?
-delia
On Tue, 25 Apr 2006, Michael J. A. Berry wrote:
I would like to be able to make use of ideas from the lecture on recipricol
causation, but I am having trouble seeing how to get started.
My overall goal is to come up with a model that can be applied to any county to
obtain an estimate of the dollars of insurance premium an insurance company
would collect if they had an agent in that county. There are 3,100 counties of
which about 300 already have agents.
Causality clearly runs both ways: agents cause premium, and premium causes
agents. We collect more premium in counties where there are agents because
although the agents are free to sell policies anywhere, they tend to sell them
close to home. Just as clearly, agents set up shop where they think they will
be able to make sales so the presence of premium causes there to be agents.
If I could cause there to be an agent in a county where there isn't one now, I
should see increased premium only to the extent that agents cause premium and
not to the extent that premium causes agents.
Does this seem like an example of the sort of problem Gary was addressing in
yesterday's lecture? If so, is my first step to think of some explanatory
variables for the presence of agents that do not also explain the presence of
premium? That may be difficulat since presumably, agents go where the premium
is. (If a certain mix of SIC codes, growth rate, and population density causes
high available premium, then it indirectly also causes there to be agents.)
-Michael
-------------------
Michael J. A. Berry
Harvard email account
(Permanent email: mjab(a)data-miners.com)
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Delia Bailey
Division of Humanities and Social Sciences
California Institute of Technology
Pasadena, CA 91125
delia(a)caltech.edu
current contact info:
Delia Bailey
Institute for Quantitative Social Science
1737 Cambridge Street
Cambridge, MA 02138
(617) 496-2262
delia(a)caltech.edu
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