JSM Preliminary Online Program
This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 538
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #308601
Title: Negative Binomial Analysis of Hypoglycemia Rates in Diabetic Patients
Author(s): Cory Heilmann*+
Companies: Eli Lilly and Company
Address: Lilly Corporate Center, Indianapolis, IN, 46285,
Keywords: Negative binomial ; Count data ; Zero-inflation ; Power ; Poisson
Abstract:

Hypoglycemia rates in insulin using diabetic patients are difficult to quantitatively model due to the highly skewed nature of their distribution, as many episodes are experienced by a few patients while many patients do not experience any episodes. A common method of analyzing hypoglycemia rates is to model the rank transformed rates. However, a rank transformation dilutes the available information and complicates inference on the actual difference in rates. This study uses data from four clinical trials as well as simulation to test different models that analyze rates of hypoglycemia. Test statistics such as BIC from real data sets show superior fit of the negative binomial model to Poisson based models. Simulations from a variety of models show that negative binomial models have higher power than non-parametric models to detect differences without inflation of type I error rate.


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Revised September, 2007