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Activity Number: 28
Type: Contributed
Date/Time: Sunday, August 3, 2014 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract #312885 View Presentation
Title: Confidence Intervals for the Odds Ratio Estimated from Count Models
Author(s): Christopher Sroka*+ and Haikady Nagaraja
Companies: Battelle and Ohio State University
Keywords: Count models ; odds ratio ; confidence intervals ; logistic regression
Abstract:

In many biomedical applications, researchers present and interpret their findings in terms of an odds ratio (OR) with respect to the presence versus absence of an event. When the data measure the frequency of an event, the count data is often converted into binary form (none versus at least one event) and well-established logistic regression procedures are used to obtain confidence intervals for the associated OR. However, such a data reduction results in information loss. This can be rectified if the count data are known to arise from a parametric model. In this work, we discuss likelihood based inference for odds ratios using data from common count models. Our results make use of known properties of estimators from these models, including the asymptotic normality of maximum likelihood estimators. We illustrate the applications of our results and compare the confidence intervals obtained from the complete data and from its compressed version.


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