Apologies for what is no-doubt a remedial (& awkwardly phrased b/c I'm
going to use terms to mean some things possibly different from their
statistical meaning) question, but can someone point me to appropriate
tests for/measures of independence in the distribution of a population
across categories on multiple categorical variables? That is, we have a
population of, say, people, normalized to 1. I want to test/measure the
independence of the allocation of shares of that population across, say,
k categorical variables, each with j>=2 or more categories. Then, to
complicate matters, I would like to allow some of the variables to be
continuous rather than categorical, but would like a measure/test that
could include those continuous variables with the others in gauging
independence in the allocation of population across the variables.
E.g., suppose each individual in a population has a score on variables
A, B, C, and D. A is continuous, and B, C, & D are categorical. B has
two categories, C has 3, and D has 4. I want a measure/test of the
independence of an individual's score on each variable to his/her score
on the others. Does a measure/test/gauge exist that could compare such
independence of the distribution of those individuals' values on those
variables to the same measure (possibly for other variables) in another
population?
This must be a generic problem that demographers, biologists, and
numerous others have already thought about & probably solved, probably
long ago, right? It's probably in (M)AN(C)OVA, i.e.,
(insert-string-of-letters-here)OVA, somewhere, but I didn't come to
stats from that route (I'm one of those Neanderthal
regression/econometrics types), so my ignorance is showing.
Thanks in advance,
Rob
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Robert (Rob) J. Franzese, Jr. US Mail: (ISR Room
4256)
Assoc. Prof. Political Science P.O. Box
1248
The University of Michigan Ann Arbor, MI
48106-1248
Research Assoc. Prof. TeleComm:
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Center for Political Studies 734-936-1850
(office)
Institute for Social Research, 734-764-3341
(fax)
426 Thompson St., Room 4256
http://www-personal.umich.edu/~franzese
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