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Activity Number: 498
Type: Contributed
Date/Time: Wednesday, August 6, 2014 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract #312281 View Presentation
Title: Inference Concerning a Common Intraclass Correlation for Binary Responses from Reproductive and Developmental Toxicity Experiments
Author(s): Debaraj Sen*+ and Krishna Saha and Darius Dziuda
Companies: and Central Connecticut State University and Central Connecticut State University
Keywords: Intra-class Correlation Coefficient ; Profile Likelihood ; Beta Binomial Models ; Confidence Interval ; Asymptotic Variance ; Cluster binary data
Abstract:

In the analysis of several treatment groups for binary outcome data arising in cluster studies, it is often of interest to determine if the treatments may have stabilizing effects. This inference problem can be done based on the confidence interval for a common intra-class correlation coefficient, and in many applications of epidemiological studies it is preferable by practitioners. In this article, we focus on constructing the confidence interval procedures for a common intra-class correlation coefficient of several treatment groups. We consider the profile likelihood-based approach using the beta-binomial models and the approach based on the concept of generalized pivots using the ANOVA estimator and its asymptotic variance. We compare the both approaches with a large sample procedure in terms of coverage and expected length through a simulation study and illustrate the methodology with an example from toxicological studies. The results support the use of profile-based confidence interval of a common intra-class correlation coefficient as it holds the pre-assigned confidence level very well and gives consistently shorter length.


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