I am attempting to perform a regression on a data set whose dependent variable is censored.   The problem I'm running into, though, is that the variable itself is left censored at 100, but I want to look at the percentage of the population that is y as my dependent variable in the regression.
 
IE
 
Say that I've got the number of persons living in poverty.  As a raw number, this is left censored at 100.  Ideally, I want to look at the percentage of the population that is living in poverty.  So not only do I fail to have a constant censoring value but, for a given city with fewer than 100 persons living in poverty, I am not certain if that city is left censored or right censored....
 
Do you have any idea how to handle this? Would it be all too terrible to enter poverty = 100 when poverty (raw) <100, and simply use OLS methods to analyze it?
 
Thanks.
Evan Volgas
Rhodes College
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