I have several variables (X1, X2...) measuring various traits of
individuals and one variable (Y) which is binary (survived/did not
survive). I would like to check if the variation in survival can be
explained with Xi variables. 

It looks like a typical logistic regression problem. However it bothers
me that the Y variable has a non-random error. The group "survived"
surely consists of individuals who *did survived*, but the group "did
not survive" is likely to include some individuals which actually
survived but were not detected by an observer. How to proceed with the
analysis?

Regards,
kh


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