I need advice or opinions for the following problem:
In a sample a part of the respondents has experienced victimizing events. Only a part of these events have been reported to the police. The rate of events reported to the police is
number of experienced events / number of reported events.
Because the events cannot be assumed to be independent (some victims have a high rate of vicitimization because they are more prone to become a victim) the construction of a confidence interval for the rate of events reported becomes difficult (to me).
Question 1: If nevertheless a use a binomial test to construct a confidence interval (say: 0 of 13 events reported,
binom.test(0,13,0/13)
CI = 0 to 24.7 %), is it correct that the width of this interval is a lower bound and thus a conservative estimate?
Question 2: (a) My intuition tells me that multilevel modeling could be a solution to obtain a correct confidence interval by treating the events and the events reported as the first level and the victims as the second. Is this correct and how should I specify this model?
(b) Alternatively, could I treat the events (and events reported?) as coming from a negative binomial distribution and use this for constructing a confidence interval? How can this be done technically, for example by using nb.glm?
Thanks in advance, Dirk
************************************************* Dr. Dirk Enzmann Institute of Criminal Sciences Dept. of Criminology Schlueterstr. 28 D-20146 Hamburg Germany
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